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非光滑方程组方法在求解非匹配网格接触问题中的应用

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Date of Publication:2022-10-09

Journal:计算力学学报

Affiliation of Author(s):建设工程学部

Issue:1

Page Number:22-27

ISSN No.:1007-4708

Abstract:In this paper, the non-smooth equation methods combined with Mortar Segment-to-Segment methods(Simply denoted as Mortar StS model), is proposed to solve the elastic contact problem in which the discretization of two contact surfaces are not matched with each other. The non-smooth methods, which satisfying the contact conditions accurately and have proven convergence property, are only used for solve the contact problems with matching meshes. In the Mortar StS model, it is suitable to deal with the non-matching contact problem. The over-constraints can be avoided and the contact patch test can be satisfied. However, usually the trial-and-error iteration method, in which it is difficult to guarantee the convergence of solution for complex contact problem, is employed with Mortar StS model. Therefore, the combination of two methods will improve the accuracy and guarantee the convergence of solution for the contact problem with non-matching meshes. The numerical examples demonstrate the contact patch test results and the accuracy of the combined method.

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