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The Method of Fundamental Solutions for Two-Dimensional Elastostatic Problems with Stress Concentration and Highly Anisotropic Materials

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Computer Modeling in Engineering & Sciences 2022年第3期130卷 1349-1369页

作者： M.R.Hematiyan B.Jamshidi M.Mohammadi Department of Mechanical Engineering Shiraz UniversityShiraz71936Iran Department of Mechanical Engineering College of EngineeringShiraz BranchIslamic Azad UniversityShiraz71993Iran

The method of fundamental solutions(mfs)is a boundary-type and truly meshfree method,which is recognized as an efficient numerical tool for solving boundary value *** geometrical shape,boundary conditions,and applied loads can be easily modeled in the *** capability makes the mfs particularly suitable for shape optimization,moving load,and inverse ***,it is observed that the standard mfs lead to inaccurate solutions for some elastostatic problems with stress concentration and/or highly anisotropic *** thiswork,by a numerical study,the important parameters,which have significant influence on the accuracy of the mfs for the analysis of two-dimensional anisotropic elastostatic problems,are *** studied parameters are the degree of anisotropy of the problem,the ratio of the number of collocation points to the number of source points,and the distance between main and pseudo *** is observed that as the anisotropy of the material increases,there will be more errors in the *** is also observed that for simple problems,increasing the distance between main and pseudo boundaries enhances the accuracy of the results;however,it is not the case for complicated ***,it is concluded that more collocation points than source points can significantly improve the accuracy of the results.

关键词： Meshfree method degree of anisotropy location of source points anisotropic elasticity least squares mfs

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