一种三维线弹性随机数值均化方法

doi:10.3969/j.issn.1001-2400.2016.04.017

Abstract

Abstract:

The computational homogenization of heterogeneous materials under infinitesimal deformation is addressed in the context of elasticity when the uncertainty in microstructure is fully considered. Based on the multi-scale finite element method and Monte-carlo method, the random homogenization model of heterogeneous materials is established when the randomness of microstructural morphology and of material properties of constituents as well as the correlation of material properties are accounted for simultaneously. The random effective quantities and their numerical characteristics as well as their correlations under different boundary conditions are then found. And the impacts of microstructural parameters on random effective quantities are also investigated and illustrated. Finally, the random stress distributions within a representative volume element under different boundary conditions are revealed as well. Obviously, it is necessary that the randomness and correlation existing in the microstructure should be fully considered during the solution of the effective mechanical properties of heterogeneous materials.

Key words: homogenization, randomness and correlation, three-dimensional linear elasticity, finite element method, Monte-Carlo method

WANG Nan;MA Juan;ZHANG Yulin. Random computational homogenization for three-dimensional linear elasticity[J].Journal of Xidian University, 2016, 43(4): 92-99.

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Random computational homogenization for three-dimensional linear elasticity

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