The element-free Galerkin method for the dynamic Signorini contact problems with friction in elastic materials

The element-free Galerkin method is proposed for the dynamic Signorini contact problems with friction in elastic materials. The Dirichlet boundary conditions and the constrained conditions are imposed by the penalty method. The error estimates of the element-free Galerkin method indicate that the convergence order depends on the spatial step, the time step, the largest degree of a complete Pascal's monomial basis in the moving least-squares approximation and the penalty factor. Numerical examples verify our theoretical results. (C) 2021 Elsevier Inc. All rights reserved.

Automated summary

The translation discusses the use of the element-free Galerkin method for dynamic Signorini contact problems with friction in elastic materials, with Dirichlet boundary conditions and constrained conditions imposed using the penalty method. Error estimates indicate that the convergence order depends on various factors. The theoretical results are validated through numerical examples.