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.
This paper investigates the coupling between mass-diffusion 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 chemical fields can be simulated by the present finite element method.
出处
《固体力学学报》
CAS
CSCD
北大核心
2008年第1期7-12,共6页
Chinese Journal of Solid Mechanics
基金
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
关键词
质量扩散
化-力耦合
质量重分布
mass-diffusion, chemo-mechanical coupling, redistribution of mass