Suemitsu I., Izui K., "Surrogate-assisted Scenario-generation Method for Simulation-based Stochastic Programming Problems", IEEE Transactions on Automation Science and Engineering, 2025. doi:10.1109/TASE.2025.3551716
Han J., Furuta K., Kondoh T., Izui K., Nishiwaki S., Terada K., "Topology optimization for nonlocal elastoplasticity at finite strain", Computer Methods in Applied Mechanics and Engineering, 435, 117678, 2025. doi:10.1016/j.cma.2024.117678
Sasaki T., Furuta K., Ishida N., Li H., Kondoh T., Izui K., Nishiwaki S., "Topology optimization for 3D fluid diode design considering wall-connected structures", Structural and Multidisciplinary Optimization, 67, 209, 2024. doi:10.1007/s00158-024-03920-w
Furuta, K., Tsukuda, Y., Sasaki, T., Ishida, N., Izui, K., Nishiwaki, S., Watanabe, S., “Differential evolution-based topology optimization using Karhunen-Loève expansion”, Engineering Optimization, 1-27, 2024. doi:10.1080/0305215X.2024.2400558
He M., Yang M., Fu W., Wu X., Izui K., “Optimization of Electric Vehicle Routes Considering Multi-Temperature Co-Distribution in Cold Chain Logistics with Soft Time Windows”, World Electric Vehicle Journal 15(3), 80, 2024. doi:10.3390/wevj15030080
He M., Li Q., Wu X., Izui K., “Designing a multi-level reverse logistics network for waste batteries of electric vehicles under uncertainty-A case study in the Yangtze River Delta Urban Agglomerations of China”, Journal of Cleaner Production 472, 143418, 2024. doi:10.1016/j.jclepro.2024.143418
Ishida N., Furuta K., Kishimoto M., Hu T., Iwai H., Izui K., Nishiwaki S., “Topology optimization for all-solid-state-batteries using homogenization method”, Structural and Multidisciplinary Optimization 67(9), 162, 2024. doi:10.1007/s00158-024-03864-1
Zhang Z., Izui K., Song X., Yin Y., Gong X., “A nested partitioning-based solution method for seru scheduling problem with resource allocation”, Journal of Management Science and Engineering 9(1), 101-114, 2024. doi:10.1016/j.jmse.2023.11.003
Han J., Furuta K., Kondoh T., Izui K., Nishiwaki S., Terada K., “Topology optimization with a finite strain nonlocal damage model using the continuous adjoint method”, Computer Methods in Applied Mechanics and Engineering 432, 117333, 2024. doi:10.1016/j.cma.2024.117333
Hu T., Wang Y., Li H., Yu M., Furuta K., Izui K., Nishiwaki S., “Topology optimization of coated structures infilled with multiple materials”, Finite Elements in Analysis and Design 235, 104165, 2024. doi:10.1016/j.finel.2024.104165
Fujimoto Y., Furuta K., Kondoh T., Li H., Izui K., Nishiwaki S., “Optimum design method for structural configuration and fiber arrangement for fiber-reinforced composites”, Composites Part C: Open Access 13, 100432, 2024. doi:10.1016/j.jcomc.2024.100432
Suemitsu I., Miyashita N., Hosoda J., Shimazu Y., Nishikawa T., Izui K., “Integration of sales, inventory, and transportation resource planning by dynamic-demand joint replenishment problem with time-varying costs”, Computers and Industrial Engineering 188, 109922, 2024. doi:10.1016/j.cie.2024.109922
He M., Yang M., Wu X., Pu J., Izui K., “Evaluating and Analyzing the Efficiency and Influencing Factors of Cold Chain Logistics in China’s Major Urban Agglomerations under Carbon Constraints”, Sustainability (Switzerland) 16(5), 1997, 2024. doi:10.3390/su16051997
Hu T., Wang Y., Zhang H., Li H., Ishida N., Sasaki T., Furuta K., Izui K., Nishiwaki S., “Multiscale topological design of coated structures with layer-wise bi-material lattice infill for minimum dynamic compliance”, Composite Structures 323, 117468, 2023. doi:10.1016/j.compstruct.2023.117468
Li H., Yu M., Jolivet P., Alexandersen J., Kondoh T., Hu T., Furuta K., Izui K., Nishiwaki S., “Reaction–diffusion equation driven topology optimization of high-resolution and feature-rich structures using unstructured meshes”, Advances in Engineering Software 180, 103457, 2023. doi:10.1016/j.advengsoft.2023.103457
Kurioka H., Nakayama N., Furuta K., Noguchi Y., Izui K., Yamada T., Nishiwaki S., “Multiscale optimal design method of acoustic metamaterials using topology optimization”, International Journal for Numerical Methods in Engineering 124(13), 2995-3024, 2023. doi:10.1002/nme.7237
Li H., Kondoh T., Jolivet P., Nakayama N., Furuta K., Zhang H., Zhu B., Izui K., Nishiwaki S., “Topology optimization for lift–drag problems incorporated with distributed unstructured mesh adaptation”, Structural and Multidisciplinary Optimization 65(8), 222, 2022. doi:10.1007/s00158-022-03314-w
Fujita Y., Izui K., Nishiwaki S., Zhang Z., Yin Y., “Production planning method for seru production systems under demand uncertainty”, Computers and Industrial Engineering 163, 107856, 2022. doi:10.1016/j.cie.2021.107856
Lim S., Misawa R., Furuta K., Maruyama S., Izui K., Nishiwaki S., “Weight reduction design of multi-material vehicle components using level set-based topology optimization”, Structural and Multidisciplinary Optimization 65(3), 100, 2022. doi:10.1007/s00158-022-03193-1
Furuta K., Sato A., Izui K., Nishiwaki S., “A level-set-based shape optimization method for thermoelectric materials”, International Journal for Numerical Methods in Engineering 123(10), 2338-2356, 2022. doi:10.1002/nme.6940
Li H., Kondoh T., Jolivet P., Furuta K., Yamada T., Zhu B., Zhang H., Izui K., Nishiwaki S., “Optimum design and thermal modeling for 2D and 3D natural convection problems incorporating level set-based topology optimization with body-fitted mesh”, International Journal for Numerical Methods in Engineering 123(9), 1954-1990, 2022. doi:10.1002/nme.6923
Hu T., Wang Y., Zhang H., Li H., Ding X., Izui K., Nishiwaki S., “Topology optimization of coated structures with layer-wise graded lattice infill for maximizing the fundamental eigenfrequency”, Computers and Structures 271, 106861, 2022. doi:10.1016/j.compstruc.2022.106861
Yodono T., Yaji K., Yamada T., Furuta K., Izui K., Nishiwaki S., “Topology optimization for the elastic field using the lattice Boltzmann method”, Computers and Mathematics with Applications 110, 123-134, 2022. doi:10.1016/j.camwa.2022.01.032
Li H., Kondoh T., Jolivet P., Furuta K., Yamada T., Zhu B., Izui K., Nishiwaki S., “Three-dimensional topology optimization of a fluid–structure system using body-fitted mesh adaption based on the level-set method”, Applied Mathematical Modelling 101, 276-308, 2022. doi:10.1016/j.apm.2021.08.021
Li H., Yamada T., Jolivet P., Furuta K., Kondoh T., Izui K., Nishiwaki S., “Full-scale 3D structural topology optimization using adaptive mesh refinement based on the level-set method”, Finite Elements in Analysis and Design 194, 103561, 2021. doi:10.1016/j.finel.2021.103561
Kubo S., Koguchi A., Yaji K., Yamada T., Izui K., Nishiwaki S., “Level set-based topology optimization for two dimensional turbulent flow using an immersed boundary method”, Journal of Computational Physics 446, 110630, 2021. doi:10.1016/j.jcp.2021.110630
Ishizuka N., Yamada T., Izui K., Nishiwaki S., “Topology optimization for unifying deposit thickness in electroplating process”, Structural and Multidisciplinary Optimization 62(4), 1767-1785, 2020. doi:10.1007/s00158-020-02574-8
Nishi S., Yamada T., Izui K., Nishiwaki S., Terada K., “Isogeometric topology optimization of anisotropic metamaterials for controlling high-frequency electromagnetic wave”, International Journal for Numerical Methods in Engineering 121(6), 1218-1247, 2020. doi:10.1002/nme.6263
Yasuda H., Orii M., Izui K., Yamada T., Nishiwaki S., Suzuki M., “A wavelength selective emitter design method using hyperbolic tangent level set-based shape optimization”, Optics Communications 463, 125405, 2020. doi:10.1016/j.optcom.2020.125405
Kambayashi K., Kogiso N., Yamada T., Izui K., Nishiwaki S., Tamayama M., “Multiobjective topology optimization for a multi-layered morphing flap considering multiple flight conditions”, Transactions of the Japan Society for Aeronautical and Space Sciences 63(3), 90-100, 2020. doi:10.2322/TJSASS.63.90
Sato Y., Izui K., Yamada T., Nishiwaki S., “Robust topology optimization of optical cloaks under uncertainties in wave number and angle of incident wave”, International Journal for Numerical Methods in Engineering 121(17), 3926-3954, 2020. doi:10.1002/nme.6393
Sasaki Y., Sato Y., Yamada T., Izui K., Nishiwaki S., “Topology optimization for fluid flows using the MPS method incorporating the level set method”, Computers and Fluids 188, 86-101, 2019. doi:10.1016/j.compfluid.2019.05.010
Sato A., Yamada T., Izui K., Nishiwaki S., Takata S., “A topology optimization method in rarefied gas flow problems using the Boltzmann equation”, Journal of Computational Physics 395, 60-84, 2019. doi:10.1016/j.jcp.2019.06.022
Ishii Y., Michishita N., Morishita H., Sato Y., Izui K., Nishiwaki S., “Design optimization of radar absorbent material for broadband and continuous oblique incidence characteristics”, IEICE Transactions on Communications (2), 216-223, 2019. doi:10.1587/transcom.2018ISP0017
Sato Y., Izui K., Yamada T., Nishiwaki S., Ito M., Kogiso N., “Reliability-based topology optimization under shape uncertainty modeled in Eulerian description”, Structural and Multidisciplinary Optimization 59(1), 75-91, 2019. doi:10.1007/s00158-018-2051-y
Sakamoto Y., Ishizuka D., Matsuda T., Izui K., Nishiwaki S., “Topology optimization of superconducting electromagnets for particle accelerators; [加速器用超電導コイルのトポロジー最適化]”, IEEJ Transactions on Power and Energy 139(9), 568-575, 2019. doi:10.1541/ieejpes.139.568
Sato Y., Izui K., Yamada T., Nishiwaki S., “Data mining based on clustering and association rule analysis for knowledge discovery in multiobjective topology optimization”, Expert Systems with Applications 119, 247-261, 2019. doi:10.1016/j.eswa.2018.10.047
Miyata K., Noguchi Y., Yamada T., Izui K., Nishiwaki S., “Optimum design of a multi-functional acoustic metasurface using topology optimization based on Zwicker's loudness model”, Computer Methods in Applied Mechanics and Engineering 331, 116-137, 2018. doi:10.1016/j.cma.2017.11.017
Sato Y., Yaji K., Izui K., Yamada T., Nishiwaki S., “An optimum design method for a thermal-fluid device incorporating multiobjective topology optimization with an adaptive weighting scheme”, Journal of Mechanical Design 140(3), 31402, 2018. doi:10.1115/1.4038209
Lim S., Izui K., Nishiwaki S., Hong J.-P., Min S., “Magnetising fixture design for optimal magnetisation orientation of ring-type magnet in surface-mounted permanent magnet motor”, IET Electric Power Applications 12(9), 1344-1349, 2018. doi:10.1049/iet-epa.2018.5229
Noguchi Y., Yamada T., Izui K., Nishiwaki S., “Topology optimization for hyperbolic acoustic metamaterials using a high-frequency homogenization method”, Computer Methods in Applied Mechanics and Engineering 335, 419-471, 2018. doi:10.1016/j.cma.2018.02.031
Furuta K., Sato A., Izui K., Matsumoto M., Yamada T., Nishiwaki S., “Shape sensitivity for a two-phase heat conduction problem considering nanoscale effects”, Journal of Advanced Mechanical Design, Systems and Manufacturing 12(1), JAMDSM0003, 2018. doi:10.1299/jamdsm.2018jamdsm0003
Petrovic M., Nomura T., Yamada T., Izui K., Nishiwaki S., “Orthotropic material orientation optimization method in composite laminates”, Structural and Multidisciplinary Optimization 57(2), 815-828, 2018. doi:10.1007/s00158-017-1777-2
Petrovic M., Nomura T., Yamada T., Izui K., Nishiwaki S., “Thermal Performance Optimization in Electric Vehicle Power Trains by Locally Orthotropic Surface Layer Design”, Journal of Mechanical Design 140(11), 111413, 2018. doi:10.1115/1.4041220
Yamaki Y., Sato Y., Izui K., Yamada T., Nishiwaki S., Hirai Y., Tabata O., “A heuristic approach for actuator layout designs in deformable mirror devices based on current value optimization”, Structural and Multidisciplinary Optimization 58(3), 1243-1254, 2018. doi:10.1007/s00158-018-1968-5
Sato Y., Yaji K., Izui K., Yamada T., Nishiwaki S., “Topology optimization of a no-moving-part valve incorporating Pareto frontier exploration”, Structural and Multidisciplinary Optimization 56(4), 839-851, 2017. doi:10.1007/s00158-017-1690-8
Kubo S., Yaji K., Yamada T., Izui K., Nishiwaki S., “A level set-based topology optimization method for optimal manifold designs with flow uniformity in plate-type microchannel reactors”, Structural and Multidisciplinary Optimization 55(4), 1311-1327, 2017. doi:10.1007/s00158-016-1577-0
Sato Y., Izui K., Yamada T., Nishiwaki S., “Pareto frontier exploration in multiobjective topology optimization using adaptive weighting and point selection schemes”, Structural and Multidisciplinary Optimization 55(2), 409-422, 2017. doi:10.1007/s00158-016-1499-x
Furuta K., Izui K., Yaji K., Yamada T., Nishiwaki S., “Level set-based topology optimization for the design of a peltier effect thermoelectric actuator”, Structural and Multidisciplinary Optimization 55(5), 1671-1683, 2017. doi:10.1007/s00158-016-1609-9
Kishimoto N., Izui K., Nishiwaki S., Yamada T., “Optimal design of electromagnetic cloaks with multiple dielectric materials by topology optimization”, Applied Physics Letters 110(20), 201104, 2017. doi:10.1063/1.4983715
Sato Y., Yamada T., Izui K., Nishiwaki S., “Manufacturability evaluation for molded parts using fictitious physical models, and its application in topology optimization”, International Journal of Advanced Manufacturing Technology 92, 1391-1409, 2017. doi:10.1007/s00170-017-0218-0
Otomori M., Yamada T., Izui K., Nishiwaki S., Andkjær J., “Topology optimization of hyperbolic metamaterials for an optical hyperlens”, Structural and Multidisciplinary Optimization 55(3), 913-923, 2017. doi:10.1007/s00158-016-1543-x
Lim Z.Y., Ponnambalam S.G., Izui K., “Multi-objective hybrid algorithms for layout optimization in multi-robot cellular manufacturing systems”, Knowledge-Based Systems 120, 87-98, 2017. doi:10.1016/j.knosys.2016.12.026
Lim S., Min S., Izui K., Nishiwaki S., “Design Optimization of a Magnetic Actuator Incorporating the Concept of the Hybrid Analysis Method”, IEEE Transactions on Magnetics 53(6), 7867758, 2017. doi:10.1109/TMAG.2017.2658665
Noguchi Y., Yamamoto T., Yamada T., Izui K., Nishiwaki S., “A level set-based topology optimization method for simultaneous design of elastic structure and coupled acoustic cavity using a two-phase material model”, Journal of Sound and Vibration 404, 15-30, 2017. doi:10.1016/j.jsv.2017.05.040
Ryu N., Lim S., Min S., Izui K., Nishiwaki S., “Multi-Objective Optimization of Magnetic Actuator Design Using Adaptive Weight Determination Scheme”, IEEE Transactions on Magnetics 53(6), 7205104, 2017. doi:10.1109/TMAG.2017.2663760
Sato Y., Izui K., Yamada T., Nishiwaki S., “Gradient-based multiobjective optimization using a distance constraint technique and point replacement”, Engineering Optimization 48(7), 1226-1250, 2016. doi:10.1080/0305215X.2015.1111068
Yaji K., Yamada T., Yoshino M., Matsumoto T., Izui K., Nishiwaki S., “Topology optimization in thermal-fluid flow using the lattice Boltzmann method”, Journal of Computational Physics 307, 355-377, 2016. doi:10.1016/j.jcp.2015.12.008
Yaji K., Otomori M., Yamada T., Izui K., Nishiwaki S., Pironneau O., “Shape and topology optimization based on the convected level set method”, Structural and Multidisciplinary Optimization 54(3), 659-672, 2016. doi:10.1007/s00158-016-1444-z
Suemitsu I., Izui K., Yamada T., Nishiwaki S., Noda A., Nagatani T., “Simultaneous optimization of layout and task schedule for robotic cellular manufacturing systems”, Computers and Industrial Engineering 102, 396-407, 2016. doi:10.1016/j.cie.2016.05.036
Yaji K., Yamada T., Kubo S., Izui K., Nishiwaki S., “A topology optimization method for a coupled thermal-fluid problem using level set boundary expressions”, International Journal of Heat and Mass Transfer 81, 878-888, 2015. doi:10.1016/j.ijheatmasstransfer.2014.11.005
Noguchi Y., Yamada T., Otomori M., Izui K., Nishiwaki S., “An acoustic metasurface design for wave motion conversion of longitudinal waves to transverse waves using topology optimization”, Applied Physics Letters 107(22), 221909, 2015. doi:10.1063/1.4936997
Yamamoto T., Yamada T., Izui K., Nishiwaki S., “Topology optimization of free-layer damping material on a thin panel for maximizing modal loss factors expressed by only real eigenvalues”, Journal of Sound and Vibration 358, 84-96, 2015. doi:10.1016/j.jsv.2015.08.019
Otomori M., Yamada T., Izui K., Nishiwaki S., “Matlab code for a level set-based topology optimization method using a reaction diffusion equation”, Structural and Multidisciplinary Optimization 51(5), 1159-1172, 2015. doi:10.1007/s00158-014-1190-z
Kotani T., Yamada T., Yamasaki S., Ohkado M., Izui K., Nishiwaki S., “Driving force profile design in comb drive electrostatic actuators using a level set-based shape optimization method”, Structural and Multidisciplinary Optimization 51(2), 369-383, 2015. doi:10.1007/s00158-014-1130-y
Izui K., Yamada T., Nishiwaki S., Tanaka K., “Multiobjective optimization using an aggregative gradient-based method”, Structural and Multidisciplinary Optimization 51(1), 173-182, 2015. doi:10.1007/s00158-014-1125-8
Choi J.S., Yamada T., Izui K., Nishiwaki S., Lim H., Yoo J., “Optimal shape design of flux barriers in IPM synchronous motors using the phase field method”, COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering 33(3), 17111514, 998-1016, 2014. doi:10.1108/COMPEL-01-2013-0026
Yaji K., Kitamura Y., Matsushima T., Yamada T., Izui K., Ntshiwaki S., “Structural optimization of a brake disc -topology optimization to simultaneously improve cooling performance and reduce brake squeal-”, Seimitsu Kogaku Kaishi/Journal of the Japan Society for Precision Engineering 80(8), 763-770, 2014. doi:10.2493/jjspe.80.763
Nguyen T.H., Morishita H., Koyanagi Y., Izui K., Nishiwaki S., “A multi-level optimization method using PSO for the optimal design of an L-shaped folded monopole antenna array”, IEEE Transactions on Antennas and Propagation 62(1), 6655892, 206-215, 2014. doi:10.1109/TAP.2013.2288785
Yaji K., Yamada T., Yoshino M., Matsumoto T., Izui K., Nishiwaki S., “Topology optimization using the lattice Boltzmann method incorporating level set boundary expressions”, Journal of Computational Physics 274, 158-181, 2014. doi:10.1016/j.jcp.2014.06.004
Otomori M., Yamada T., Izui K., Nishiwaki S., Kogiso N., “Level set-based topology optimization for the design of light-trapping structures”, IEEE Transactions on Magnetics 50(2), 6749255, 729-732, 2014. doi:10.1109/TMAG.2013.2282046
Matsuki T., Yamada T., Izui K., Nishiwaki S., “Topology optimization for locally resonant sonic materials”, Applied Physics Letters 104(19), 191905, 2014. doi:10.1063/1.4878259
Otomori M., Yamada T., Izui K., Nishiwaki S., Kogiso N., “Topology optimization of metallic waveguides loaded with ferrite”, Transactions of the Japan Society for Computational Engineering and Science 2013, 2013. doi:10.11421/jsces.2013.20130014
Yaji K., Yamada T., Yoshino M., Matsumoto T., Izui K., Nishiwaki S., “A level set-based topology optimization using the lattice-boltzmann method”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 79(802), 2152-2163, 2013. doi:10.1299/kikaic.79.2152
Lu L., Yamamoto T., Otomori M., Yamada T., Izui K., Nishiwaki S., “Topology optimization of an acoustic metamaterial with negative bulk modulus using local resonance”, Finite Elements in Analysis and Design 72, 1-12, 2013. doi:10.1016/j.finel.2013.04.005
Otomori M., Lu L., Yamada T., Yamamoto T., Izui K., Nishiwaki S., “Topology optimization for the design of acoustic metamaterials using level set-based boundary expressions”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 79(802), 2138-2151, 2013. doi:10.1299/kikaic.79.2138
Izui K., Murakumo Y., Suemitsu I., Nishiwaki S., Noda A., Nagatani T., “Multiobjective layout optimization of robotic cellular manufacturing systems”, Computers and Industrial Engineering 64(2), 537-544, 2013. doi:10.1016/j.cie.2012.12.003
Ohkado M., Tsukamoto S., Otomori M., Izui K., Nishiwaki S., “Structural optimization of metallic patch antenna using surface impedance method”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 79(807), 4084-4094, 2013. doi:10.1299/kikaic.79.4084
Otomori M., Yamada T., Andkjaer J., Izui K., Nishiwaki S., Kogiso N., “Level set-based topology optimization for the design of an electromagnetic cloak with ferrite material”, IEEE Transactions on Magnetics 49(5), 6514628, 2081-2084, 2013. doi:10.1109/TMAG.2013.2239965
Kotani T., Yamasaki S., Yamada T., Ohkado M., Izui K., Nishiwaki S., “Structural optimization of electrostatic actuators based on the level set method”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 79(805), 3234-3247, 2013. doi:10.1299/kikaic.79.3234
Otomori M., Yamada T., Izui K., Nishiwaki S., Kogiso N., “Level set-based topology optimization for the design of a ferromagnetic waveguide”, IEEE Transactions on Magnetics 48(11), 6332886, 3072-3075, 2012. doi:10.1109/TMAG.2012.2196268
Choi J.S., Izui K., Nishiwaki S., Kawamoto A., Nomura T., “Rotor pole design of IPM motors for a sinusoidal air-gap flux density distribution”, Structural and Multidisciplinary Optimization 46(3), 445-455, 2012. doi:10.1007/s00158-012-0774-8
Tenne Y., Izui K., Nishiwaki S., “A hybrid model-classifier framework for managing prediction uncertainty in expensive optimisation problems”, International Journal of Systems Science 43(7), 1305-1321, 2012. doi:10.1080/00207721.2011.602482
Tenne Y., Izui K., Nishiwaki S., “A model-adaptive evolutionary algorithm for optimization”, Artificial Life and Robotics 16(4), 546-550, 2012. doi:10.1007/s10015-011-0987-8
Otomori M., Yamada T., Izui K., Nishiwaki S., Andkjær J., “A topology optimization method based on the level set method for the design of negative permeability dielectric metamaterials”, Computer Methods in Applied Mechanics and Engineering 237-240, 192-211, 2012. doi:10.1016/j.cma.2012.04.022
Choi J.S., Izui K., Nishiwaki S., “Multi-material optimization of magnetic devices using an Allen-Cahn equation”, IEEE Transactions on Magnetics 48(11), 6332563, 3579-3582, 2012. doi:10.1109/TMAG.2012.2201212
Koike Y., Matsubara A., Nishiwaki S., Izui K., Yamaji I., “Cutting path design to minimizeworkpiece displacement at cutting point: Milling of thin-walled parts”, International Journal of Automation Technology 6(5), 638-647, 2012. doi:10.20965/ijat.2012.p0638
Otomori M., Andkjær J., Sigmund O., Izui K., Nishiwaki S., “Inverse design of dielectric materials by topology optimization”, Progress in Electromagnetics Research 127, 93-120, 2012. doi:10.2528/PIER12020501
Matsushima T., Izui K., Nishiwaki S., “Conceptual design method for reducing brake squeal in disk brake systems considering unpredictable usage factors”, Journal of Mechanical Design 134(6), 61008, 2012. doi:10.1115/1.4006326
Tsukamoto S., Izui K., Otomori M., Ohkado M., Nomura T., Nishiwaki S., “Optimum design of metallic patch antennas based on topology optimization”, Transactions of the Japan Society for Computational Engineering and Science 2012, 3-, 2012. doi:10.11421/jsces.2012.20120015
Otomori M., Yamada T., Izui K., Nishiwaki S., “Level set-based topology optimisation of a compliant mechanism design using mathematical programming”, Mechanical Sciences 2(1), 91-98, 2011. doi:10.5194/ms-2-91-2011
Yamada T., Yamasaki S., Nishiwaki S., Izui K., Yoshimura M., “Design of compliant thermal actuators using structural optimization based on the level set method”, Journal of Computing and Information Science in Engineering 11(1), 11005, 2011. doi:10.1115/1.3563049
Yamada T., Izui K., Nishiwaki S., “A level set-based topology optimization method for maximizing thermal diffusivity in problems including design-dependent effects”, Journal of Mechanical Design 133(3), 31011, 2011. doi:10.1115/1.4003684
Otomori M., Izui K., Nishiwaki S., “A topology optimization method based on the multiple phase projection method (a new formulation of the projection function for reducing the number of design variables”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 77(775), 836-846, 2011. doi:10.1299/kikaic.77.836
Matsushima T., Izui K., Nishiwaki S., “A conceptual design method of disc brake systems for reducing brake squeal considering pressure distribution variations”, Seimitsu Kogaku Kaishi/Journal of the Japan Society for Precision Engineering 77(5), 525-532, 2011. doi:10.2493/jjspe.77.525
Choi J.S., Izui K., Nishiwaki S., Kawamoto A., Nomura T., “Topology optimization of the stator for minimizing cogging torque of IPM motors”, IEEE Transactions on Magnetics 47(10), 6027589, 3024-3027, 2011. doi:10.1109/TMAG.2011.2158572
Izui K., Murakumo Y., Suemitsu I., Nishiwaki S., Noda A., Nagatani T., “Layout design optimization method for robotic cellular manufacturing systems using sequence-pair representation”, Seimitsu Kogaku Kaishi/Journal of the Japan Society for Precision Engineering 77(8), 781-787, 2011. doi:10.2493/jjspe.77.781
Yamamoto T., Maruyama S., Izui K., Nishiwaki S., Terada K., “Equivalent properties of sound absorbing poroelastic material using the homogenization method”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 77(773), 75-88, 2011. doi:10.1299/kikaic.77.75
Yamamoto T., Maruyama S., Terada K., Izui K., Nishiwaki S., “A generalized macroscopic model for sound-absorbing poroelastic media using the homogenization method”, Computer Methods in Applied Mechanics and Engineering 200, 251-264, 2011. doi:10.1016/j.cma.2010.08.009
Hirano Y., Yamada T., Kogiso N., Izui K., Nishiwaki S., Iga A., “Level set-based robust topology optimization for coupled thermal and structural problems considering uncertainty”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 77(773), 1-13, 2011. doi:10.1299/kikaic.77.1
Choi J.S., Yamada T., Izui K., Nishiwaki S., Yoo J., “Topology optimization using a reaction-diffusion equation”, Computer Methods in Applied Mechanics and Engineering 200(29-32), 2407-2420, 2011. doi:10.1016/j.cma.2011.04.013
Koike Y., Matsubara A., Nishiwaki S., Izui K., Yamaji I., “Cutting process design for minimizing workpiece displacement at cutting point”, Seimitsu Kogaku Kaishi/Journal of the Japan Society for Precision Engineering 76(12), 1406-1410, 2010. doi:10.2493/jjspe.76.1406
Yamasaki S., Nomura T., Kawamoto A., Sato K., Izui K., Nishiwaki S., “A level set based topology optimization method using the discretized signed distance function as the design variables”, Structural and Multidisciplinary Optimization 41(5), 685-698, 2010. doi:10.1007/s00158-009-0453-6
Yamada T., Izui K., Nishiwaki S., Takezawa A., “A topology optimization method based on the level set method incorporating a fictitious interface energy”, Computer Methods in Applied Mechanics and Engineering 199(45-48), 2876-2891, 2010. doi:10.1016/j.cma.2010.05.013
Yamasaki S., Nishiwaki S., Yamada T., Izui K., Yoshimura M., “A structural optimization method based on the level set method using a new geometry-based re-initialization scheme”, International Journal for Numerical Methods in Engineering 83(12), 1580-1624, 2010. doi:10.1002/nme.2874
Matsushima T., Izui K., Nishiwaki S., “A conceptual design method of disc brake systems for reducing brake squeal - Construction of a design criterion using simplified analysis model based on the concept of first order analysis”, Seimitsu Kogaku Kaishi/Journal of the Japan Society for Precision Engineering 76(8), 973-980, 2010. doi:10.2493/jjspe.76.973
Doi K., Yoshimura M., Nishiwaki S., Izui K., “Multiobjective optimisation method for life-cycle design of mechanical products”, International Journal of Sustainable Engineering 3(2), 81-94, 2010. doi:10.1080/19397031003642606
Yamada T., Izui K., Nishiwaki S., Sato M., Tabata O., “An optimum design method for capacitive micromachined ultrasonic transducers (level set-based topology optimization method incorporating uniform cross-section surface constraints)”, Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A 76(771), 1403-1411, 2010. doi:10.1299/kikaia.76.1403
Yamamoto T., Maruyama S., Izui K., Nishiwaki S., Terada K., “A model for sound-absorbing poroelastic material using multiscale analysis”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 76(768), 2039-2048, 2010. doi:10.1299/kikaic.76.2039
Iga A., Yamada T., Nishiwaki S., Izui K., Yoshimura M., “Topology optimization for coupled thermal and structural problems using the level set method”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 76(761), 36-43, 2010. doi:10.1299/kikaic.76.36
Izui K., Nishiwaki S., Yoshimura M., Kariya H., Ogihara Y., Hayashi S., “Switchgear component commonality design based on trade-off analysis among inventory level, delivery lead-time and product performance”, International Journal of Production Research 48(10), 2821-2840, 2010. doi:10.1080/00207540902791868
Choi J.S., Yoo J., Nishiwaki S., Izui K., “Optimization of magnetization directions in a 3-D magnetic structure”, IEEE Transactions on Magnetics 46(6), 5467587, 1603-1606, 2010. doi:10.1109/TMAG.2010.2040251
Yamasaki S., Nomura T., Kawamoto A., Sato K., Izui K., Nishiwaki S., “A level set based topology optimization method using the augmented lagrangian method”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 75(760), 3192-3200, 2009. doi:10.1299/kikaic.75.3192
Yamada T., Nishiwaki S., Iga A., Izui K., Yoshimura M., “Level set-based topology optimization method for thermal problems”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 75(759), 2868-2876, 2009. doi:10.1299/kikaic.75.2868
Izui K., Nishiwaki S., Yoshimura M., Nakamura M., Renaud J.E., “Hybrid multi-objective particle swarm optimization incooperating SLP for mechanical system design”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 75(752), 1161-1170, 2009. doi:10.1299/kikaic.75.1161
Nishiwaki S., Nomura T., Kinoshita S., Izui K., Yoshimura M., Sato K., Hirayama K., “Topology optimization for cross-section designs of electromagnetic waveguides targeting guiding characteristics”, Finite Elements in Analysis and Design 45(12), 944-957, 2009. doi:10.1016/j.finel.2009.09.008
Iga A., Nishiwaki S., Izui K., Yoshimura M., “Topology optimization for thermal conductors considering design-dependent effects, including heat conduction and convection”, International Journal of Heat and Mass Transfer 52, 2721-2732, 2009. doi:10.1016/j.ijheatmasstransfer.2008.12.013
Kobayashi M., Nishiwaki S., Izui K., Yoshimura M., “An innovative design method for compliant mechanisms combining structural optimisations and designer creativity”, Journal of Engineering Design 20(2), 125-154, 2009. doi:10.1080/09544820701565017
Yamada T., Nishiwaki S., Izui K., Yoshimura M., Takezawa A., “A structural optimization method incorporating level set boundary expressions based on the concept of the phase field method”, Nihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A 75(753), 550-558, 2009. doi:10.1299/kikaia.75.550
Kumar R., Izui K., Yoshimura M., Nishiwaki S., “Multi-objective hierarchical genetic algorithms for multilevel redundancy allocation optimization”, Reliability Engineering and System Safety 94(4), 891-904, 2009. doi:10.1016/j.ress.2008.10.002
Doi K., Chujo Y., Yoshimura M., Nishiwaki S., Izui K., “Construction of an optimum system design method considering product lifecycle”, International Journal of Sustainable Engineering 2(3), 171-183, 2009. doi:10.1080/19397030903171740
Doi K., Yoshimura M., Nishiwaki S., Izui K., “Optimization method based on 3R considerations for lifecycle design of mechanical products”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 75(756 PART C), 2096-2104, 2009. doi:10.1299/kikaic.75.2096
Yoshimura M., Yoshimura Y., Izui K., Nishiwaki S., “Product optimization incorporating discrete design variables based on decomposition of performance characteristics”, Journal of Mechanical Design 131(3), 310041-3100410, 2009. doi:10.1115/1.3066577
Doi K., Yoshimura M., Nishiwaki S., Izui K., “Lifecycle cost optimization in the conceptual design of products having variable energy consumption”, International Journal of Performability Engineering 5(4), 325-338, 2009. doi:10.23940/ijpe.09.4.p325.mag
Kumar R., Izui K., Yoshimura M., Nishiwaki S., “Optimal multilevel redundancy allocation in series and series-parallel systems”, Computers and Industrial Engineering 57(1), 169-180, 2009. doi:10.1016/j.cie.2008.11.008
Doi K., Yoshimura M., Nishiwaki S., Izui K., “Optimization method for lifecycle cost in the conceptual design of products having variable energy consumption”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 75(749), 238-246, 2009. doi:10.1299/kikaic.75.238
Kogiso N., Hirano Y., Nishiwaki S., Izui K., Yoshimura M., Min S., “Reliability-based topology optimization for frame structures considering multiple performance criteria using slsv method with improvement of convergence property”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 75(751), 719-726, 2009. doi:10.1299/kikaic.75.719
Iga A., Nishiwaki S., Izui K., Yoshimura M., “Topology optimization for heat convection problems including design-dependent effects”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 74(10), 2452-2461, 2008. doi:10.1299/kikaic.74.2452
Izui K., Nishiwaki S., Yoshimura M., Nakamura M., Renaud J.E., “Enhanced multiobjective particle swarm optimization in combination with adaptive weighted gradient-based searching”, Engineering Optimization 40(9), 789-804, 2008. doi:10.1080/03052150802046247
Chujo Y., Doi K., Yoshimura M., Nishiwaki S., Izui K., “An optimum lifecycle design method for long term usage machine products”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 74(12), 3077-3087, 2008. doi:10.1299/kikaic.74.3077
Takezawa A., Mogami K., Nishiwaki S., Izui K., Yoshimura M., Kitamura M., “Structural optimization for the design of band-gap structures using discrete structural elements”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 74(4), 780-788, 2008. doi:10.1299/kikaic.74.780
Kogiso N., Nishida K., Mogami K., Nishiwaki S., Izui K., Yoshimura M., “Structural topology optimization considering multiple performance criteria reliability (for cases where variation of element cross-sectional property is considered)”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 74(6), 1584-1593, 2008. doi:10.1299/kikaic.74.1584
Patel N.M., Tillotson D., Renaud J.E., Tovar A., Izui K., “Comparative study of topology optimization techniques”, AIAA Journal 46(8), 1963-1975, 2008. doi:10.2514/1.31053
Yamasaki S., Nishiwaki S., Izui K., Yoshimura M., “Structural optimization of mechanical structures targeting vibration characteristics based on the level set method”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 74(10), 2442-2451, 2008. doi:10.1299/kikaic.74.2442
Kumar R., Izui K., Masataka Y., Nishiwaki S., “Multilevel redundancy allocation optimization using hierarchical genetic algorithm”, IEEE Transactions on Reliability 57(4), 650-661, 2008. doi:10.1109/TR.2008.2006079
Izui K., Nishiwaki S., Murase Y., Yoshimura M., Ohba H., Moriya S., Hashimoto H., “A design support method for component arrangement of space satellites using Bi-level optimization (preliminary study on a piggyback satellite design case)”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 73(12), 3330-3338, 2007. doi:10.1299/kikaic.73.3330
Iga A., Nishiwaki S., Izui K., Yoshimura M., “Topology optimization for thermal problems based on assumed continuous approximation of material distributions”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 73(9), 2426-2433, 2007. doi:10.1299/kikaic.73.2426
Yamasaki S., Nishiwaki S., Izui K., Yoshimura M., “Structural optimization of mechanical structures based on the level set method (construction of a new re-initialization method and its application to the stiffness maximization problem)”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 73(1), 72-79, 2007. doi:10.1299/kikaic.73.72
Takezawa A., Nishiwaki S., Izui K., Yoshimura M., “Structural optimization based on topology optimization techniques using frame elements considering cross-sectional properties”, Structural and Multidisciplinary Optimization 34(1), 41-60, 2007. doi:10.1007/s00158-006-0059-1
Izui K., Nishiwaki S., Yoshimura M., “Swarm algorithms for single- and multi-objective optimization problems incorporating sensitivity analysis”, Engineering Optimization 39(8), 981-998, 2007. doi:10.1080/03052150701552774
Maeda Y., Nishiwaki S., Izui K., Yoshimura M., Matsui K., Terada K., “Structural topology optimization of vibrating structures with specified eigenfrequencies and eigenmode shapes”, International Journal for Numerical Methods in Engineering 67(5), 597-628, 2006. doi:10.1002/nme.1626
Yoshimura M., Yoshida S., Konishi Y., Izui K., Nishiwaki S., Inamori Y., Nomura A., Mitsuyuki K., Kawaguchi Y., Inagaki T., “A rapid analysis method for production line design”, International Journal of Production Research 44(6), 1171-1192, 2006. doi:10.1080/00207540500336355
Yoshimura M., Fujimi Y., Izui K., Nishiwaki S., “Decision-making support system for human resource allocation in product development projects”, International Journal of Production Research 44(5), 831-848, 2006. doi:10.1080/00207540500272519
Mogami K., Nishiwaki S., Izui K., Yoshimura M., Kogiso N., “Reliability-based structural optimization of frame structures for multiple failure criteria using topology optimization techniques”, Structural and Multidisciplinary Optimization 32(4), 299-311, 2006. doi:10.1007/s00158-006-0039-5
Takezawa A., Nishiwaki S., Izui K., Yoshimura M., “Structural optimization using function-oriented elements to support conceptual designs”, Journal of Mechanical Design 128(4), 689-700, 2006. doi:10.1115/1.2198257
Yoshimura M., Taniguchi M., Izui K., Nishiwaki S., “Hierarchical arrangement of characteristics in product design optimization”, Journal of Mechanical Design 128(4), 701-709, 2006. doi:10.1115/1.2198256
Izui K., Nishiwaki S., Yoshimura M., “Hybrid swarm optimization techniques incorporating design sensitivities”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 72(7), 2264-2271, 2006. doi:10.1299/kikaic.72.2264
Mogami K., Nishiwaki S., Izui K., Yoshimura M., Kogiso N., “Structural topology optimization considering multiple performance criteria reliability (for cases where stiffness and eigen-frequencies are considered as performance criteria)”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 72(6), 1769-1777, 2006. doi:10.1299/kikaic.72.1769
Yoshimura M., Fujimi Y., Izui K., Nishiwaki S., “Human resource allocation optimization for multiple development projects”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 71(2), 677-684, 2005. doi:10.1299/kikaic.71.677
Takezawa A., Nishiwaki S., Izui K., Yoshimura M., Nishigaki H., Tsurumi Y., “Concurrent design and evaluation based on structural optimization using structural and function-oriented elements at the conceptual design phase”, Concurrent Engineering Research and Applications 13(1), 29-42, 2005. doi:10.1177/1063293X05050914
Yoshimura M., Nishiwaki S., Izui K., “A multiple cross-sectional shape optimization method for automotive body frames”, Journal of Mechanical Design 127(1), 49-57, 2005. doi:10.1115/1.1814391
Yoshimura M., Izui K., Kida S., “Decision support system for selecting collaborative product development partners”, Concurrent Engineering Research and Applications 13(1), 5-11, 2005. doi:10.1177/1063293X05050910
Kobayashi M., Yoshimura M., Izui K., “Collaboration support system based on visualization of communication processes”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 71(7), 2370-2377, 2005. doi:10.1299/kikaic.71.2370
Takezawa A., Saitou T., Nishiwaki S., Izui K., Yoshimura M., “Topology optimization using frame elements (for cases where eigen-frequencies are to be maximized); [Topology optimization using frame elements (for cases where eigen-frequencies are to be maximized)]”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 71(10), 3018-3025, 2005. doi:10.1299/kikaic.71.3018
Takezawa A., Nishiwaki S., Izui K., Yoshimura M., “Topology Optimization Using Structural Discrete Elements (In Cases where the Principal Direction of Moment of Inertia in Frame Element Cross-Section is Included as a Design Variable)”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 71(706), 1962-1969, 2005. doi:10.1299/kikaic.71.1962
Maeda Y., Nishiwaki S., Izui K., Yoshimura M., Matsui K., Terada K., “Topology optimization of mechanical structures targeting vibration characteristics”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 71(3), 813-820, 2005. doi:10.1299/kikaic.71.813
Yoshimura M., Kobayashi M., Izui K., “A Collaborative System for Supporting Creative Design Based on Designer's Interactive Communication”, Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 70(2), 523-530, 2004. doi:10.1299/kikaic.70.523
Izui K., “Optimization methods using genetic algorithms and their applications in initial design stage”, Yosetsu Gakkai Shi/Journal of the Japan Welding Society 73(3), 13-18, 2004. doi:10.2207/qjjws1943.73.155
Yoshimura M., Nishiwaki S., Izui K., “A cross-sectional shape initial design method for automotive frame structure using genetic algorithms”, Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 70(1), 235-242, 2004. doi:10.1299/kikaic.70.235
Yoshimura M., Izui K., “Hierarchical parallel processes of genetic algorithms for design optimization of large-scale products”, Journal of Mechanical Design 126(2), 217-224, 2004. doi:10.1115/1.1666889
Takezawa A., Nishiwaki S., Izui K., Yoshimura M., Nishigaki H., Tsurumi Y., “Topology optimization using structural discrete elements”, Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 70(4), 1008-1015, 2004. doi:10.1299/kikaic.70.1008
Hosoyama A., Nishiwaki S., Izui K., Yoshimura M., Matsui K., Terada K., “Structural topology optimization of compliant mechanisms (in cases where the ratio of the displacement at the input location to the displacement at the output location is included in an objective function)”, Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 70(8), 2384-2391, 2004. doi:10.1299/kikaic.70.2384
Yoshimura M., Izui K., Fujimi Y., “Optimizing the decision-making process for large-scale design problems according to criteria interrelationships”, International Journal of Production Research 41(9), 1987-2002, 2003. doi:10.1080/0020754031000077301
Yoshimura M., Izui K., “Design optimization of large scale products based on hierarchical partitioning technique of genetic algorithm processes”, Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 69(3), 825-833, 2003. doi:10.1299/kikaic.69.825
Yoshimura M., Izui K., “Smart optimization of machine systems using hierarchical genotype representations”, Journal of Mechanical Design 124(3), 375-384, 2002. doi:10.1115/1.1486013
Yoshimura M., Fujimi Y., Izui K., “Optimizing the decision making process based on the interrelationships among criteria”, Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 68(4), 1310-1318, 2002. doi:10.1299/kikaic.68.1310
Yoshimura M., Izui K., “Smart Optimization of Machine Systems Using Hierarchical Genotype Representation”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 66(649), 3215-3222, 2000. doi:10.1299/kikaic.66.3215
Yoshimura M., Izui K., “Generation of Conceptual Mechanism Designs Based on Natural Forms and Shape Formation of Living Creatures”, Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C 64(627), 4505-4511, 1998. doi: 10.1299/kikaic.64.4505