A three-dimensional element-free framework for coupled mechanical-diffusion induced nonlinear deformation of polymeric gels using the IMLS-Ritz method

被引：16
|
作者：
Li, D. M. [1 ]
Zhang, L. W. [2 ]
Liew, K. M. [1 ,3 ]
机构：
[1] City Univ Hong Kong, Dept Architecture & Civil Engn, Kowloon, Hong Kong, Peoples R China
[2] Shanghai Ocean Univ, Coll Informat Sci & Technol, Shanghai 201306, Peoples R China
[3] City Univ Hong Kong, Shenzhen, Peoples R China
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2015年 / 296卷
基金：
中国国家自然科学基金;
关键词：
Element-free IMLS-Ritz method; Three-dimensional transient analysis; Nonlinear deformation; Polymeric gel; 2D FRACTURE PROBLEMS; FREE-METHOD BEFM; POLYELECTROLYTE GELS; INSTABILITY; SIMULATION; KINETICS; MODEL;
D O I：
10.1016/j.cma.2015.05.011
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
An element-free framework is developed for the three-dimensional transient process of coupled mechanical-diffusion induced nonlinear deformation of polymeric gels based on the improved moving least-squares Ritz (IMLS-Ritz) method. The method approximates the displacement and chemical potential fields of the gels using the IMLS approximation. An energy formulation for the system is derived and a set of discrete equations is obtained through the Ritz procedure. As a result, the corresponding formulae of the element-free IMLS-Ritz method for three-dimensional transient analysis of the coupled mechanical and diffusion induced nonlinear deformation in polymeric gel are furnished. The numerical accuracy of the IMLS-Ritz method is demonstrated through analyzing the coupled mechanical-diffusion induced transient nonlinear deformation of cubic, thin film and rod gels. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：232 / 247
页数：16
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