The COC algorithm, Part II: Topological, geometrical and generalized shape optimization

Rozvany, 1991, The COC algorithm, Part I: Cross-section optimization or sizing, Comput. Methods Appl. Mech. Engrg., 89, 281, 10.1016/0045-7825(91)90045-8 Rozvany, 1989 Michell, 1904, The limits of economy of material in frame-structures, Phil. Mag., 8, 589, 10.1080/14786440409463229 J.C. Maxwell, On reciprocal figures, frames and diagrams of force, Trans. Roy. Soc. Edinb. 26 (1) 1872, 2, 174 Kirsch, 1989, On the relationship between structural topologies and geometries, Struct. Optim., 2, 39, 10.1007/BF01743519 Prager, 1974, Introduction to Structural Optimization, 212 Rozvany, 1976 Rozvany, 1980, Optimal Design of Flexural Systems Prager, 1977, Optimization of structural geometry, 265 Rozvany, 1981, Optimality criteria for grids, shells and arches, 112 Rozvany, 1987, Minimum-weight plate design via Prager's layout theory (Prager Memorial Lecture), 165 Rozvany, 1990, Layout optimization in structural design Rozvany, 1984, Structural layout theory: The present state of knowledge, 167 Hegemier, 1969, On Michell trusses, Internat. J. Mech. Sci., 11, 209, 10.1016/0020-7403(69)90006-X G.I.N. Rozvany and W. Gollub, Michell layouts for various combinations of line supports, Part I, Internat. J. Mech. Sci., in press. Hemp, 1973 Nagetegaal, 1973, Optimal layout of a truss for alternative loads, Internat. J. Mech. Sci., 15, 583, 10.1016/0020-7403(73)90082-9 Spillers, 1971, Design for two loading conditions, Internat. J. Solids and Structures, 7, 1261, 10.1016/0020-7683(71)90066-7 Rozvany, 1974, Analytical treatment of some extended problems in structural optimization, J. Struct. Mech., 3, 387, 10.1080/03601217408907274 Rozvany, 1978, Optimal plastic design: Superposition principles and bounds on the minimum cost, Comput. Methods Appl. Mech. Engrg., 13, 151, 10.1016/0045-7825(78)90055-5 Rozvany, 1991, Michell layouts for various combinations of lines supports, Part II, Internat. J. Mech. Sci. Rozvany, 1982, On the solid plate paradox in structural optimization, J. Struct. Mech., 10, 1, 10.1080/03601218208907399 Rozvany, 1987, Least-weight design of perforated elastic plates, I and II, Internat. J. Solids and Structures, 23, 521, 10.1016/0020-7683(87)90015-1 Rozvany, 1987, Least-weight design of perforated elastic plates, I and II, Internat. J. Solids and Structures, 23, 537, 10.1016/0020-7683(87)90016-3 Bendsøe, 1989, Optimal shape design as a material distribution problem, Struct. Optim., 1, 193, 10.1007/BF01650949 Kikuchi, 1991, Shape and topology optimization by the homogenization method Ong, 1988, Least-weight design of perforated elastic plates for given compliance: Nonzero Poisson's ratio, Comput. Methods Appl. Mech. Eng., 66, 301, 10.1016/0045-7825(88)90004-7 Olhoff, 1991, On CAD-integrated structural topology and design optimization, Comput. Methods Applied Mech. Engrg., 89, 259, 10.1016/0045-7825(91)90044-7 Cheng, 1981, An investigation concerning optimal design of solid elastic plates, Internat. J. Solids and Structures, 17, 305, 10.1016/0020-7683(81)90065-2 Olhoff, 1981, Sliding regimes and anisotropy in optimal design of vibrating axisymmetric plates, Internat. J. Solids and Structures, 17, 931, 10.1016/0020-7683(81)90032-9 Bendsøe, 1990, Truss topology optimization