西安电子科技大学学报（自然科学版）2017，Vol.44Issue(3)：66-71,174,7.DOI:10.3969/j.issn.1001-2400.2017.03.012
非均质材料有限变形下的热弹性随机均化方法
Stochastic homogenization method for heterogeneous materials under finite deformation on thermoelasticity
摘要
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.关键词
热弹性/随机均化/非均质材料/随机有效性质/数字特征值Key words
thermoelasticity/random homogenization/heterogeneous material/random effective properties/numerical characteristics分类
通用工业技术引用本文复制引用
王云飞,马娟,韩新玲,贾长安..非均质材料有限变形下的热弹性随机均化方法[J].西安电子科技大学学报（自然科学版）,2017,44(3):66-71,174,7.基金项目
国家自然科学基金资助项目(11572233) （11572233）
国家自然科学基金青年基金资助项目(11102143) （11102143）
中央高校基本科研业务费专项资金资助项目(JBG150405) （JBG150405）
