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连续胶体材料化学-力学耦合有限元理论及其在ABAQUS中UEL程序实现
Finite element theory of chemo-mechanical coupling and the program implementation of UEL in ABAQUS for the continuous colloidal material
引用本文:魏巍,杨庆生.连续胶体材料化学-力学耦合有限元理论及其在ABAQUS中UEL程序实现
Finite element theory of chemo-mechanical coupling and the program implementation of UEL in ABAQUS for the continuous colloidal material[J].计算力学学报,2016,33(5):785-790.
作者姓名:魏巍  杨庆生
作者单位:1. 北京工业大学 机械工程与应用电子技术学院,北京 100124; 河北工程大学 土木工程学院,邯郸 056038;2. 北京工业大学 机械工程与应用电子技术学院,北京,100124
基金项目:国家自然科学基金(11172012,11472020)资助项目.
摘    要:基于哈密顿原理,得到水凝胶的化学-力学耦合控制方程的等效积分形式和有限元形式。在整体坐标系下推导出用形函数表示的化学-力学耦合应变矩阵和单元刚度矩阵,并且得到在局部坐标系下的离散化形式。结合 ABAQUS软件,编制了用户单元子程序 UEL,通过数值算例验证了所开发单元的正确性,为在 ABAQUS软件中实现各种耦合问题的有限元 UEL编程提供了参考依据。

关 键 词:化学-力学耦合  耦合有限元法  高斯积分法  ABAQUS  用户自定义单元(UEL)
收稿时间:2015/8/7 0:00:00
修稿时间:2015/12/18 0:00:00

Finite element theory of chemo-mechanical coupling and the program implementation of UEL in ABAQUS for the continuous colloidal material
WEI Wei and YANG Qing-sheng.Finite element theory of chemo-mechanical coupling and the program implementation of UEL in ABAQUS for the continuous colloidal material[J].Chinese Journal of Computational Mechanics,2016,33(5):785-790.
Authors:WEI Wei and YANG Qing-sheng
Institution:School of Engineering Mechanics, Beijing University of Technology, Beijing 100124, China;School of Civil Engineering, Hebei University of Engineering, Handan 056038, China;School of Engineering Mechanics, Beijing University of Technology, Beijing 100124, China
Abstract:Based on Hamilton''s principle,the equivalent integral forms of chemo-mechanical coupling governing equations and corresponding finite element forms are obtained.The strain matrix and element stiffness matrix represented by shape functions in chemo-mechanical coupling are derived in the global coordinate system.Discrete forms of element stiffness matrix are acquired in the local coordinate system.The user element subroutine UEL is programmed in ABAQUS finite element package.The numerical example shows the validity of the UEL developed,which can provide some references for the programming realization of UEL in ABAQUS software for various coupling problems with the form of the finite element.
Keywords:chemo-mechanical coupling  coupled finite element method  gauss integral method  ABAQUS  user element subroutine(UEL)
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