摘要
介绍了变形多孔多相介质中非线性耦合问题的工程背景．结合作者在该领域的多年工作，概括描述了介质中以力学－渗流－传质等耦合现象为代表的非线性耦合问题的数值方法的一些重要方面，包括力学－渗流－传质耦合问题的数学模型、本构模拟、应变局部化分析的非经典连续体有限元方法、局部与非局部塑性的低阶高精度混合应变元、对流扩散吸附方程的隐式特征线Galerkin有限元方法．为变形多孔多相介质中非线性耦合问题的数值分析提供了一个理论框架．
The engineering background of the non-linear coupled problems in the deformingporous medium with immiscible two phase fluids is introduced. Based on author's work carriedout in recent years, the following important aspects of the numerical method for the coupledproblems represented by the hydro-mechanical process including mass transport are summarilydescribed: the mathematical model of the process, the constitutive modelling, the finite elementmethod for strain localization analysis by non-loal continuum approach, mixed strain elementswith low order and high accuracy for local and non-local plasticity, the implicit characteristicGalerkin finite element method for conviction - diffusion- sorption equations.
出处
《大连理工大学学报》
EI
CAS
CSCD
北大核心
1999年第2期166-171,共6页
Journal of Dalian University of Technology
基金
国家自然科学基金!19832010
19472016
59478014
59878009
国家攀登B计划资助
国家攀登A计划资助
欧共体国际科学合作基金
关键词
有限元法
变形
多孔介质
耦合问题
非线性力学
finite element method/deforming porous medium
coupled problems
non-linearmechanics
