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化学-力学耦合理论与数值方法
引用本文:林銮,杨庆生.化学-力学耦合理论与数值方法[J].固体力学学报,2008,29(1):7-12.
作者姓名:林銮  杨庆生
作者单位:北京工业大学机电学院工程力学系,北京,10002Z
基金项目:国家自然科学基金(10272006,30470439),北京市中青年骨干教师培养计划专项资助
摘    要:该文研究了化学场中的质量扩散与力学耦合问题,构造了化-力耦合情况下的力学本构关系与质量扩散的本构关系,并由这些本构关系和化学场、力学场的控制方程,得到化-力场耦合的有限元方程.通过数值算例,详细分析了由应力场引起的质量重分布和由化学场引起的结构变形.研究表明,力学与化学之间存在明显的相互作用,并采用有限元数值方法进行了分析.

关 键 词:质量扩散  化-力耦合  质量重分布
收稿时间:2006-11-08
修稿时间:2007-11-26

THE BASIC EQUATIONS OF CHEMO-MECHANICAL COUPLING AND THE CORRESPONDING NUMERICAL ANALYSIS
Luan Lin,Qingsheng Yang.THE BASIC EQUATIONS OF CHEMO-MECHANICAL COUPLING AND THE CORRESPONDING NUMERICAL ANALYSIS[J].Acta Mechnica Solida Sinica,2008,29(1):7-12.
Authors:Luan Lin  Qingsheng Yang
Abstract:This paper investigates the coupling between massdiffusion and mechanical quantities inside chemo-mechanical media.Both the mechanical constitutive equations and the mass-diffused constitutive equations of chemo-mechanical media are established.Combining these constitutive relations with the governing equations of chemo-mechanical fields,coupled finite element formulation is developed.The redistribution of mass caused by the mechanical loading and the structure deformation caused by the chemical loading are analyzed numerically in detail.The results show that interaction between mechanical and che-mical fields can be simulated by the present finite element method.
Keywords:mass-diffusion  chemo-mechanical coupling  redistribution of mass
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