Chin. Phys. B, 2012, Vol. 21(9): 090205    DOI: 10.1088/1674-1056/21/9/090205
 GENERAL Prev   Next

# Complex variable element-free Galerkin method for viscoelasticity problems

Cheng Yu-Mina, Li Rong-Xinb, Peng Miao-Juanb
a Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
b Department of Civil Engineering, Shanghai University, Shanghai 200072, China
Abstract  Based on the complex variable moving least-square (CVMLS) approximation, the complex variable element-free Galerkin (CVEFG) method for two-dimensional viscoelasticity problems under the creep condition is presented in this paper. The Galerkin weak form is employed to obtain the equation system, and the penalty method is used to apply the essential boundary conditions, then the corresponding formulae of the CVEFG method for two-dimensional viscoelasticity problems under the creep condition are obtained. Compared with the element-free Galerkin (EFG) method, with the same node distribution, the CVEFG method has a higher precision, and to obtain the similar precision, the CVEFG method has a greater computational efficiency. Some numerical examples are given to demonstrate the validity and the efficiency of the method in this paper.
Keywords:  meshless method      complex variable moving least-square approximation      complex variable element-free Galerkin method      viscoelasticity
Received:  06 April 2012      Revised:  18 April 2012      Accepted manuscript online:
 PACS: 02.60.Cb (Numerical simulation; solution of equations) 02.60.Lj (Ordinary and partial differential equations; boundary value problems) 46.35.+z (Viscoelasticity, plasticity, viscoplasticity)
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11171208) and the Shanghai Leading Academic Discipline Project, China (Grant No. S30106).
Corresponding Authors:  Cheng Yu-Min     E-mail:  ymcheng@shu.edu.cn