A level set method for structural topology optimization

Rozvany, 1988 Bendsoe, 1998, Generating optimal topologies in structural design using a homogenisation method, Computer Methods in Applied Mechanics and Engineering, 71, 197, 10.1016/0045-7825(88)90086-2 Suzuki, 1991, A homogenization method for shape and topology optimization, Computer Methods in Applied Mechanics and Engineering, 93, 291, 10.1016/0045-7825(91)90245-2 Diaz, 1992, Shape optimization of structures for multiple loading conditions using a homogenization method, Structural Optimization, 4, 17, 10.1007/BF01894077 Allaire, 1993, Topology optimization and optimal shape design using homogenization, vol. 227, 207 Bendsoe, 1993, The Michell layout problem as a low volume fraction limit of the homogenization method for topology design: An asymoptotic study, Structural Optimization, 6, 63, 10.1007/BF01743385 Allaire, 1997, The homogenization method for topology and shape optimization, 101 Bendsoe, 1997 Bendsoe, 1989, Optimal shape design as a material distribution problem, Structural Optimization, 1, 193, 10.1007/BF01650949 Mlejnek, 1992, Some aspects of the genesis of structures, Structural Optimization, 5, 64, 10.1007/BF01744697 Bendsoe, 1999, Material interpolations in topology optimization, Archive of Applied Mechanics, 69, 635, 10.1007/s004190050248 Xie, 1993, A simple evolutionary procedure for structural optimization, Computers and Structures, 49, 885, 10.1016/0045-7949(93)90035-C Chu, 1997, On various aspects of evolutionary structural optimization for problems with stiffness constraints, Finite Elements in Analysis and Design, 24, 197, 10.1016/S0168-874X(96)00049-2 Reynolds, 1999, Reverse adaptivity––A new evolutionary tool for structural optimization, International Journal of Numerical Methods in Engineering, 45, 529, 10.1002/(SICI)1097-0207(19990620)45:5<529::AID-NME599>3.0.CO;2-2 Eschenauer, 1994, Bubble method for topology and shape optimization of structures, Structural Optimization, 8, 142, 10.1007/BF01742933 Eschenauer, 1997, Topology and shape optimization procedures using hole positioning criteria, 135 Sethian, 2000, Structural boundary design via level set and immersed interface methods, Journal of Computational Physics, 163, 489, 10.1006/jcph.2000.6581 Sethian, 1999 Osher, 1988, Front propagating with curvature-dependent speed: Algorithms based on Hamilton–Jacobi formulations, Journal of Computational Physics, 79, 12, 10.1016/0021-9991(88)90002-2 Osher, 2001, Level set methods: An overview and some recent results, Journal of Computational Physics, 169, 475, 10.1006/jcph.2000.6636 Breen, 2001, A level set approach for the metamorphosis of solid models, IEEE Transactions on Visualization and Computer Graphics, 7, 173, 10.1109/2945.928169 Rozvany, 2001, Aims, scope, methods, history and unified terminology of computer aided topology optimization in structural mechanics, Structural and Multidisciplinary Optimization, 21, 90, 10.1007/s001580050174