An a posteriori error analysis based on equilibrated stresses for finite element approximations of frictional contact

被引：0

作者：

Fontana, Ilaria ^{[1
]}

Di Pietro, Daniele A. ^{[2
]}

机构：

[1] Northwestern Univ, Dept Engn Sci & Appl Math, Evanston, IL 60208 USA

[2] Univ Montpellier, CNRS, IMAG, Montpellier, France

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2024年 / 425卷

关键词：

Frictional unilateral contact problem; Weakly enforced contact conditions; A posteriori error estimate; Equilibrated stress reconstruction; Arnold-Falk-Winther mixed finite element; Adaptive algorithms; NITSCHES METHOD; ELASTICITY;

D O I：

10.1016/j.cma.2024.116950

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We consider the unilateral contact problem between an elastic body and a rigid foundation in a description that includes both Tresca and Coulomb friction conditions. For this problem, we present an a posteriori error analysis based on an equilibrated stress reconstruction in the Arnold-Falk-Winther space that includes a guaranteed upper bound distinguishing the different components of the error. This analysis is the starting point for the development of an adaptive algorithm including a stopping criterion for the generalized Newton method. This algorithm is then used to perform numerical simulations that validate the theoretical results.

引用

页数：26

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