非均质材料有限变形下的热弹性随机均化方法

doi:10.3969/j.issn.1001-2400.2017.03.012

Abstract

Abstract:

Stochastic homogenization of heterogeneous materials is addressed in the context of thermoelasticity at finite deformation, where the uncertainty in the microstructure is fully considered. The stochastic homogenization in finite thermoelasticity is presented by the multi-scale finite element combined with the Monte-carlo method, and the macroscopically random effective mechanic and thermal properties are solved by using a two-step technique. The numerical characteristics of random effective properties such as stress tensor, heat flux tensor, deformation gradient are then derived. Finally, the feasibility of the method proposed in this work is validated with a numerical example, in which the mean values and the coefficient of variations of random effective quantities under different correlative and boundary conditions are obtained. The distributions of random effective quantities within a representative volume element under different correlative and boundary conditions are also discussed. Obviously, the randomness and correlation existing in the microstructure are not neglected during the process of homogenization of heterogeneous materials under finite deformation.

Key words: thermoelasticity, random homogenization, heterogeneous material, random effective properties, numerical characteristics

WANG Yunfei;MA Juan;HAN Xinling;JIA Chang'an. Stochastic homogenization method for heterogeneous materials under finite deformation on thermoelasticity[J].Journal of Xidian University, 2017, 44(3): 66-71+174.

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Stochastic homogenization method for heterogeneous materials under finite deformation on thermoelasticity

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