A two-stage approach for structural topology optimization

Hajela, 1990, Genetic search — an approach to the nonconvex optimization problem, AIAA Journal, 26, 1205, 10.2514/3.25195 Lin, 1992, Genetic algorithms in optimization problems with discrete and integer design variables, Engineering Optimization, 19, 309, 10.1080/03052159208941234 Lin, 1998, Nonconvex and discrete optimal design using multiple state simulated annealing, Structural Optimization, 14, 121, 10.1007/BF01812514 Haftka, 1986, Structural shape optimization — a survey, Computer Methods in Applied Mechanics and Engineering, 57, 91, 10.1016/0045-7825(86)90072-1 Dorn, 1964, Automatic design of optimal structures, Journal de Mecanique, 3, 25 Dobbs, 1969, Optimization of truss geometry, Journal of Structural Engineering, ASCE, 95, 2105 Kirsch, 1989, Optimal topologies of structures, Applied Mechanics Review, 42, 223, 10.1115/1.3152429 Topping, 1983, Shape optimization of skeletal structures: a review, Journal of Structural Engineering, ASCE, 109, 1933, 10.1061/(ASCE)0733-9445(1983)109:8(1933) Grierson, 1993, Optimal sizing, geometrical and topological design using a genetic algorithm, Structural Optimization, 6, 151, 10.1007/BF01743506 Ohsaki, 1995, Genetic algorithm for topology optimization of trusses, Computers & Structures, 57, 219, 10.1016/0045-7949(94)00617-C Balling, 1991, Optimal steel frame design by simulated annealing, Journal of Structure Engineering, 117, 1780, 10.1061/(ASCE)0733-9445(1991)117:6(1780) Arutyunyan, 1988, Optimization problems in the mechanics of growing solids, Mechanics of Composite Materials, 24, 359, 10.1007/BF00606609 Matteck, 1990, Design and growth rules for biological structures and their application to engineering, Fatigue and Fracture of Engineering Materials and Structures, 13, 535, 10.1111/j.1460-2695.1990.tb00623.x Azegami, 1990, Proposal of a shape-optimization method using a constitutive equation of growth, JSME International Journal, Series 1, 33, 64 Chen, 1993, Shape optimization by using simulated biological growth approach, AIAA Journal, 31, 2143, 10.2514/3.49125 Weinans, 1992, The behavior of adaptive bone-remodeling simulation models, Journal of Biomechanics, 25, 1425, 10.1016/0021-9290(92)90056-7 Hinton, 1995, Fully stressed topological design of structures using an evolutionary approach, Engineering Computations, 12, 229, 10.1108/02644409510799578 Bendsøe, 1988, Generating optimal topologies in structural design using a homogenization 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 Ma, 1993, Structural topology and shape optimization for a frequency response problem, Computational Mechanics, 13, 157, 10.1007/BF00370133 Bendsøe, 1991, Integrated topology and boundary shape optimization of 2-D solid, Computer Methods in Applied Mechanics and Engineering, 87, 15, 10.1016/0045-7825(91)90144-U Thomsen, 1992, Topology optimization of structures composed of one or two materials, Structural Optimization, 5, 108, 10.1007/BF01744703 Mlejnek, 1993, An engineer's approach to optimal material distribution and shape finding, Computer Methods in Applied Mechanics and Engineering, 106, 1, 10.1016/0045-7825(93)90182-W Mlejnek, 1992, Some aspects of the genesis of structures, Structural Optimization, 5, 64, 10.1007/BF01744697 Yang, 1994, Optimal topology design using linear programming, Computers & Structures, 52, 265, 10.1016/0045-7949(94)90279-8 Chen TY, Wang BP, Chen CH. Minimum compliance design using topology approach. In: Proceedings of the 12th National Conference on Mechanical Engineering, CSME. Taiwan, ROC: National Chung-Chen University, 1995:841–8. Jones RM. Mechanics of composite materials. Washington (DC): Scripta Book Company, 1975. Papalambros, 1990, An integrated environment for structural configuration design, Journal of Engineering Design, 1, 73, 10.1080/09544829008901645 Xie, 1993, A simple evolutionary procedure for structural optimization, Computers & Structures, 49, 885, 10.1016/0045-7949(93)90035-C