A fictitious domain method for frictionless contact problems in elasticity using Nitsche’s method

DOI10.5802/smai-jcm.8zbMath1416.74082OpenAlexW2434998206MaRDI QIDQ4967332

Mathieu Fabre, Jérôme Pousin, Yves Renard

Publication date: 3 July 2019

Published in: The SMAI journal of computational mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/smai-jcm.8

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs in connection with mechanics of deformable solids (35Q74) Fictitious domain methods for boundary value problems involving PDEs (65N85)

Related Items

A generalized multigrid method for solving contact problems in Lagrange multiplier based unfitted finite element method, Shape optimization of a linearly elastic rolling structure under unilateral contact using Nitsche's method and cut finite elements, An unbiased Nitsche's approximation of the frictional contact between two elastic structures, Surface penalization of self-interpenetration in linear and nonlinear elasticity, Residual a posteriori error estimation for frictional contact with Nitsche method, The local average contact (LAC) method, A contact algorithm for voxel-based meshes using an implicit boundary representation, Nitsche-based models for the unilateral contact of plates, Error analysis of Nitsche's mortar method, Fictitious Domain Method for Equilibrium Problems of the Kirchhoff-Love Plates with Nonpenetration Conditions for Known Configurations of Plate Edges

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