Aims, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanics
暂无分享,去创建一个
[1] A. Michell. LVIII. The limits of economy of material in frame-structures , 1904 .
[2] S. Shtrikman,et al. A variational approach to the theory of the elastic behaviour of multiphase materials , 1963 .
[3] RECTANGULAR GRILLAGES OF LEAST WEIGHT. , 1972 .
[4] George I. N. Rozvany,et al. Grillages of maximum strength and maximum stiffness , 1972 .
[5] George I. N. Rozvany,et al. Optimal load transmission by flexure , 1972 .
[6] J. E. Taylor,et al. A Finite Element Method for the Optimal Design of Variable Thickness Sheets , 1973 .
[7] W. Prager,et al. Optimal design of partially discretized grillages , 1976 .
[8] G.I.N. Rozvany,et al. OPTIMIZATION OF STRUCTURAL GEOMETRY , 1977 .
[9] George I. N. Rozvany,et al. Optimal Layout of Grillages , 1977 .
[10] W. Prager,et al. A new class of structural optimization problems: Optimal archgrids , 1979 .
[11] N. Olhoff,et al. An investigation concerning optimal design of solid elastic plates , 1981 .
[12] George I. N. Rozvany,et al. On the Solid Plate Paradox in Structural Optimization , 1982 .
[13] Robert V. Kohn,et al. Optimal design for torsional rigidity , 1982 .
[14] Andrej Cherkaev,et al. Regularization of optimal design problems for bars and plates, part 2 , 1982 .
[15] Robert V. Kohn,et al. Hencky-Prandtl nets and constrained Michell trusses , 1983 .
[16] R. Kohn,et al. Optimal design and relaxation of variational problems, III , 1986 .
[17] K. Svanberg. The method of moving asymptotes—a new method for structural optimization , 1987 .
[18] George I. N. Rozvany,et al. Least-weight design of perforated elastic plates. II , 1987 .
[19] G. I. N. Rozvany,et al. Minimum-Weight Plate Design Via Prager’s Layout Theory (Prager Memorial Lecture) , 1987 .
[20] Marco Avellaneda,et al. Optimal bounds and microgeometries for elastic two-phase composites , 1987 .
[21] G. I. N. Rozvany,et al. Least-weight design of perforated elastic plates for given compliance: Nonzero Poisson's ratio , 1988 .
[22] M. Bendsøe,et al. Generating optimal topologies in structural design using a homogenization method , 1988 .
[23] M. Bendsøe. Optimal shape design as a material distribution problem , 1989 .
[24] George I. N. Rozvany,et al. Structural Design via Optimality Criteria , 1989 .
[25] Zafer Gürdal,et al. A penalty approach for nonlinear optimization with discrete design variables , 1990 .
[26] M. Zhou,et al. The COC algorithm, Part II: Topological, geometrical and generalized shape optimization , 1991 .
[27] G. I. N. Rozvany,et al. Optimal layout theory: Analytical solutions for elastic structures with several deflection constraints and load conditions , 1992 .
[28] M. Zhou,et al. A new discretized optimality criteria method in structural optimization , 1992 .
[29] M. Zhou,et al. Generalized shape optimization without homogenization , 1992 .
[30] M. Zhou,et al. Extensions of new discretized optimality criteria methods to structures with passive control , 1992 .
[31] George I. N. Rozvany,et al. DCOC: An optimality criteria method for large systems Part I: theory , 1992 .
[32] Rakesh K. Kapania,et al. Truss Topology Optimization with Simultaneous Analysis and Design , 1992 .
[33] R. Kohn,et al. Topology optimization and optimal shape design using homogenization , 1993 .
[34] Martin P. Bendsøe,et al. Topology design of structures , 1993 .
[35] Robert V. Kohn,et al. Explicit optimal bounds on the elastic energy of a two-phase composite in two space dimensions , 1993 .
[36] Ole Sigmund,et al. Topology Optimization Using Iterative Continuum-Type Optimality Criteria (COC) Methods for Discretized Systems , 1993 .
[37] M. P. Bendsøe,et al. The Michell layout problem as a low volume fraction limit of the perforated plate topology optimization problem: An asymptotic study , 1993 .
[38] Noboru Kikuchi,et al. Topology and Generalized Layout Optimization of Elastic Structures , 1993 .
[39] H. P. Mlejnek,et al. Some Explorations in the Genesis of Structures , 1993 .
[40] O. Sigmund. Materials with prescribed constitutive parameters: An inverse homogenization problem , 1994 .
[41] George I. N. Rozvany,et al. On singular topologies in exact layout optimization , 1994 .
[42] C. S. Jog,et al. Topology design with optimized, self‐adaptive materials , 1994 .
[43] G. Rozvany,et al. Extended exact solutions for least-weight truss layouts—Part I: Cantilever with a horizontal axis of symmetry , 1994 .
[44] G. Rozvany,et al. Generalized Michell structures — exact least-weight truss layouts for combined stress and displacement constraints: Part I — General theory for plane trusses , 1995 .
[45] Martin P. Bendsøe,et al. Optimization of Structural Topology, Shape, And Material , 1995 .
[46] George I. N. Rozvany,et al. Layout Optimization of Structures , 1995 .
[47] M. Zhou,et al. An efficient DCOC algorithm based on high-quality approximations for problems including eigenvalue constraints , 1995 .
[48] Raphael T. Haftka,et al. A comparison of optimality criteria methods for stress and displacement constraints , 1994 .
[49] C. S. Jog,et al. A new approach to variable-topology shape design using a constraint on perimeter , 1996 .
[50] J. E. Taylor,et al. On the prediction of material properties and topology for optimal continuum structures , 1997 .
[51] Martin P. Bendsøe,et al. Topology Optimization of Continuum Structures with Stress Constraints , 1997 .
[52] Claude Fleury,et al. Topology optimization involving discrete variables , 1997 .
[53] G. Allaire,et al. THE HOMOGENIZATION METHOD FOR TOPOLOGY AND SHAPE OPTIMIZATION , 1997 .
[54] N. Olhoff,et al. Topology optimization of three-dimensional structures using optimum microstructures , 1998 .
[55] J. E. Taylor,et al. An energy model for the optimal design of linear continuum structures , 1998 .
[56] J. Petersson,et al. Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima , 1998 .
[57] G. Rozvany. Exact analytical solutions for some popular benchmark problems in topology optimization , 1998 .
[58] M. Bendsøe,et al. Material interpolation schemes in topology optimization , 1999 .
[59] Ole Sigmund,et al. On the Optimality of Bone Microstructure , 1999 .
[60] Ole Sigmund,et al. Topology synthesis of large‐displacement compliant mechanisms , 2001 .
[61] J. E. Taylor,et al. A design model to predict optimal two-material composite structures , 1999 .
[62] Pierre Duysinx,et al. Topology Optimization with Different Stress Limit in Tension and Compression , 1999 .
[63] M. Beckers,et al. Topology optimization using a dual method with discrete variables , 1999 .
[64] O. Sigmund,et al. Stiffness design of geometrically nonlinear structures using topology optimization , 2000 .
[65] Ole Sigmund,et al. Topology optimization: a tool for the tailoring of structures and materials , 2000, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[66] O. Sigmund. A new class of extremal composites , 2000 .
[67] O. Sigmund,et al. Multiphase composites with extremal bulk modulus , 2000 .
[68] N. Olhoff,et al. Topology optimization of continuum structures subjected to pressure loading , 2000 .
[69] George I.N. Rozvany,et al. Problem Classes, Solution Strategies and Unified Terminology of FE-Based Topology Optimization , 2000 .
[70] Ole Sigmund,et al. Design of multiphysics actuators using topology optimization - Part I: One-material structures , 2001 .
[71] G. Rozvany. Stress ratio and compliance based methods in topology optimization – a critical review , 2001 .
[72] K. Svanberg,et al. On the trajectories of penalization methods for topology optimization , 2001 .
[73] Ole Sigmund,et al. A web-based topology optimization program , 2001 .
[74] Ole Sigmund,et al. A 99 line topology optimization code written in Matlab , 2001 .
[75] H. Rodrigues,et al. Hierarchical optimization of material and structure , 2002 .
[76] M. Zhou,et al. Issues of commercial optimization software development , 2002 .