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Error estimates for a contact problem with the Tresca friction or the simplified Coulomb friction in elastic materials by the element-free Galerkin method

机译:用无元素Galerkin方法估算弹性材料中Tresca摩擦或简化的库仑摩擦的接触问题的误差

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This article discusses the error estimates for a contact problem with the Tresca friction or the simplified Coulomb friction in elastic materials by the element-free Galerkin method. The penalty method is adopted to deal with the clamped boundary conditions. The error estimates show that the convergence rate depends on the nodal spacing, the penalty factor and the largest degree of basis functions in the moving least-squares approximation. Numerical examples validate our theoretical results. (C) 2019 Elsevier Inc. All rights reserved.
机译:本文讨论了无元素Galerkin方法对弹性材料中Tresca摩擦或简化的库仑摩擦的接触问题的误差估计。采用罚分法处理约束边界条件。误差估计表明,收敛速率取决于节点间距,惩罚因子和移动最小二乘近似中基函数的最大程度。数值例子验证了我们的理论结果。 (C)2019 Elsevier Inc.保留所有权利。

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