Design of materials with prescribed elastic properties using D-functions

DOI QR Code

Qiu, Guangyu (State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology) ;
Li, Xingsi (State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology)

Supported by : Natural Science Foundation of China

Bregman, L.M. (1967), "The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming", USSR Comp. Math. Math. Phys., 7, 200-217.
Censor, Y. and Zenios, S.A. (1992), "Proximal minimization algorithm with D-functions", J. Optim. Theory Appl., 73, 451-464. https://doi.org/10.1007/BF00940051
Guest, J.K. and Prevost, J.H. (2007), "Design of maximum permeability material structures", Comp. Meth. Appl. Mech. Eng., 196, 1006-1017. https://doi.org/10.1016/j.cma.2006.08.006
Hashin, Z. and Shtrikman, S. (1963), "A variational approach to the theory of the elastic behaviour of multiphase materials", J. Mech. Phys. Solids, 11, 127-140. https://doi.org/10.1016/0022-5096(63)90060-7
Liu, S.T., Zheng, X.G. and Cheng, G.D. (2001), "Microstructure design optimization of materials with specific elastic properties", Acta Mat. Comp. Sin., 18(2), 124-127 (in Chinese).
Sigmund, O. (1994), "Materials with prescribed constitutive parameters: An inverse homogenization problem", Int. J. Solids Struct., 31(17), 2313-2329. https://doi.org/10.1016/0020-7683(94)90154-6
Sigmund, O. (2000), "A new class of extremal composites", J. Mech. Phys. Solids, 48(2), 397-428. https://doi.org/10.1016/S0022-5096(99)00034-4
Svanberg, K. (1987), "The method of moving asymptotes - A new method for structural optimization", Int. J. Num. Meth. Eng., 24, 359-373. https://doi.org/10.1002/nme.1620240207

A homogenization approach for uncertainty quantification of deflection in reinforced concrete beams considering microstructural variability vol.38, pp.4, 2011, https://doi.org/10.12989/sem.2011.38.4.503