Complex variable element-free Galerkin method for viscoelasticity problems |
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Authors: | Cheng Yu-Min Li Rong-Xin Peng Miao-Juan |
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Institution: | a Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;b Department of Civil Engineering, Shanghai University, Shanghai 200072, China |
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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. |
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Keywords: | meshless method complex variable moving least-square approximation complex variable element-free Galerkin method viscoelasticity |
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