A numerical method for computing the overall response of nonlinear composites with complex microstructure
作者： H. Moulinec , P. Suquet
DOI: 10.1016/S0045-7825(97)00218-1
关键词:
摘要: The local and overall responses of nonlinear composites are classically investigated by the Finite Element Method. We propose an alternate method based on Fourier series which avoids meshing makes direct use microstructure images. It is exact expression Green function a linear elastic homogeneous comparison material. First, case nonhomogeneous constituents considered iterative procedure proposed to solve Lippman-Schwinger equation naturally arises in problem. Then, extended non-linear step-by-step integration time. accuracy assessed varying spatial resolution microstructures. flexibility allows it serve for large variety
harvard.edu
archives-ouvertes.fr
elsevier.com
sci-hub.se 参考文章(20)
H. Moulinec, P. Suquet, A FFT-Based Numerical Method for Computing the Mechanical Properties of Composites from Images of their Microstructures Springer, Dordrecht. pp. 235- 246 ,(1995) , 10.1007/978-94-011-0059-5_20
Ekkehart Kröner, Statistical continuum mechanics Springer Vienna. ,(1971) , 10.1007/978-3-7091-2862-6
Topology design of structures Kluwer Academic Publishers. ,(1993) , 10.1007/978-94-011-1804-0
J.R. Willis, On methods for bounding the overall properties of nonlinear composites Journal of The Mechanics and Physics of Solids. ,vol. 39, pp. 73- 86 ,(1991) , 10.1016/0022-5096(91)90031-I
P.M. Suquet, Overall potentials and extremal surfaces of power law or ideally plastic composites Journal of The Mechanics and Physics of Solids. ,vol. 41, pp. 981- 1002 ,(1993) , 10.1016/0022-5096(93)90051-G
J.R. Brockenbrough, S. Suresh, H.A. Wienecke, Deformation of metal-matrix composites with continuous fibers: geometrical effects of fiber distribution and shape Acta Metallurgica Et Materialia. ,vol. 39, pp. 735- 752 ,(1991) , 10.1016/0956-7151(91)90274-5
T. Christman, A. Needleman, S. Suresh, An experimental and numerical study of deformation in metal-ceramic composites Acta Metallurgica. ,vol. 37, pp. 3029- 3050 ,(1989) , 10.1016/0001-6160(89)90339-8
Donald F. Adams, Douglas R. Doner, Transverse normal loading of a unidirectional composite. Journal of Composite Materials. ,vol. 1, pp. 152- 164 ,(1967) , 10.1177/002199836700100205
JoséMiranda Guedes, Noboru Kikuchi, None, Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods Applied Mechanics and Engineering. ,vol. 83, pp. 143- 198 ,(1990) , 10.1016/0045-7825(90)90148-F
T. Mura, D. M. Barnett, Micromechanics of defects in solids ,(1982)