Multiscale Nonlinear Thermo-Mechanical Coupling Analysis of Composite Structures with Quasi-Periodic Properties

• 作者: Hao Dong Junzhi Cui Liang Ma Qiang Ma Xiaohong An Yufeng Nie Zihao Yang
• 来源期刊: 计算机、材料和连续体(英文)
• 学科: 工学
• 关键词: THERMO-MECHANICAL coupling problem QUASI-PERIODIC PROPERTIES multiscale ASYMPTOTIC analysis multiscale FINITE element-difference algorithm
• 年，卷（期）: 2017,（3）
• 页码范围: 219-248
• 页数: 30页
• 分类号: TG6

摘要

This paper reports a multiscale analysis method to predict the thermomechanical coupling performance of composite structures with quasi-periodic properties.In these material structures,the configurations are periodic,and the material coefficients are quasi-periodic,i.e.,they depend not only on the microscale information but also on the macro location.Also,a mutual interaction between displacement and temperature fields is considered in the problem,which is our particular interest in this study.The multiscale asymptotic expansions of the temperature and displacement fields are constructed and associated error estimation in nearly pointwise sense is presented.Then,a finite element-difference algorithm based on the multiscale analysis method is brought forward in detail.Finally,some numerical examples are given.And the numerical results show that the multiscale method presented in this paper is effective and reliable to study the nonlinear thermo-mechanical coupling problem of composite structures with quasiperiodic properties.