DOI QR코드

DOI QR Code

Design of materials with prescribed elastic properties using D-functions

  • 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)
  • 투고 : 2008.03.21
  • 심사 : 2009.05.11
  • 발행 : 2009.09.10

초록

키워드

과제정보

연구 과제 주관 기관 : Natural Science Foundation of China

참고문헌

  1. 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.
  2. 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
  3. 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
  4. 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
  5. 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).
  6. 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
  7. 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
  8. 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

피인용 문헌

  1. 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