Investigation of Effects of Parameters in Element-Free Galerkin Method for Bending Analysis of Mindlin-Reissner Plates
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The element-free Galerkin method is one of the most widely used meshfree method in solid mechanics due to its simplicity and high convergence rate. However, it has some selectable parameters that affect the accuracy and convergence. The parameters can be listed as size of support domain, number of monomials, type of weight function, number of integration points in a background cell and value of penalty coefficient. The effects of these parameters on the accuracy of the element-free Galerkin method solution of the Reissner-Mindlin plate bending are investigated. A number of case studies with regular and irregular node distributions are solved. The displacement and moment values at critical points are compared with exact solutions. It is shown that the selectable parameters have to be carefully selected especially for the analysis of moments.
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