摘要
许多智能复合材料例如生物组织和聚合物胶体,都表现出多场耦合行为。目前化学-力学耦合理论属于一个比较新的领域,还不成熟。本文主要研究化学一力学耦合行为,并在ABAQUS软件中进行了数值模拟计算。应用力学平衡方程、离子扩散方程和包含力学-化学耦合因素的的本构关系椎导出了力学-化学耦合的等效积分形式,建立力学-化学耦合的有限元方程。在ABAQUS软件中开发用户单元子程序,进行数值模拟。计算结果表明:力学与化学存在着相互耦合作用,浓度变化能引起固体的变形,同样力学作用也能引起浓度重分布:由于耦合作用,固体的有效性能与扩散性质都发生了改变:力学-化学耦合作用过程实际是机械能与化学能之间能量转换过程;最终,研究体中械能与化学能达到相互平衡状态,且质量守恒。本文的理论和方法可应用于模拟生物组织、粘土等材料的力学-化学耦合行为。
Many smart materials, such as biology tissues and polymer gel, exhibit multi - field coupling behavior. Chemo-mechanical coupling is a relatively new problem whose theory has not been well established yet. Chemo-mechanical coupling behavior was investigated and simulated by using finite element method. The equivalent integral formula for coupling system of equilibrium, ionicd ffusion equations were obtained. User elernent subroutines were developed in ABAQUS for caloulation. It shows that the mcchanical and chemioal ficlds interact with each other, and the deformation of solid skeleton is coused by the concentration variation. Both of the effective benhaviors of solid skeleton and mass diffnsion are changed beacuse of the coupling effect. Actually, the chemo- mechanical coupling behavior is a form of energy transformation between mechanical energy and chemical energy Finally, the energy in polymer will be balanced, and mass conservation is also satisfied in the procedure. The present chemo - mechanical thory and numerical method can be applied to simulate the chemo-mechanical coupling behavior of biology tissues, clays and so on.
出处
《力学季刊》
CSCD
北大核心
2008年第1期8-14,共7页
Chinese Quarterly of 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
力学-化学耦合
质量扩散
等积分形式
有效性能
cheme-mechanical coupling
mass-diffusion
equivalent integral form
effective behavior
