化-力耦合本构关系及有限元方程  

Constitutive Law and FEM Equations of Chemo-mechanical Coupling

作　　者：杨庆生[1] 刘宝胜[1] 

机构地区：[1]北京工业大学机械工程与应用电子技术学院工程数值模拟中心,北京100022

出　　处：《北京工业大学学报》2008年第2期120-125,共6页Journal of Beijing University of Technology

基　　金：国家自然科学基金(10272006;30470439);北京市优秀人才专项资助项目(20041A0501517)

摘　　要：从化学势定义出发,结合热力学第一、二定律推导了等温过程的化-力耦合本构方程和化-力耦合控制方程.建立了化-力耦合系统的能量变分泛函.并证明该化-力耦合系统为封闭系统.利用加权残值法得到了控制方程的等效积分形式和有限元离散形式,为化-力耦合现象的数值模拟奠定了理论基础.Based on definition of chemical potential, and the first law and the second law of thermodynamics, the basic equations of chemo-mechanical coupling problem are investigated in the present paper. The constitutive equations are established by using Helmholtz free energy and then the governing equations are obtained by applying integration by parts to energy functional. It is indicated that the chemo-mechanical coupling system is closed. To build the finite element formulations of the coupling problem, an equivalent integration form of the governing equations is derived from the weighted residual method. This investigation can contribute to understanding the coupling mechanism of chemical and mechanical behavior.

关 键 词：化-力耦合 本构关系 变分原理 加权残值法 等效积分形式 有限元 

分 类 号：TB330.1[一般工业技术—材料科学与工程]