Enrichment of the contact geometry within the finite element method

This paper presents a novel CutFEM-LaTIn algorithm to solve multiple unilateral contact problems over geometries that do not conform with the finite element mesh.. We show that

After numerous numerical works developed in various contexts of mechanics, the first a priori error estimate results for XFEM (in linear elasticity) were recently obtained in [13]

A Nitsche finite element method for dynamic contact Franz Chouly, Patrick Hild, Yves Renard.. To cite

Institute of Structural Analysis and Dynamics of Structures, Department of Civil Engineering, Aristotle University Thessaloniki, Panepistimioupolis Mail Stop 502, 54124

• Upper and Lower Bound Properties In the case of non–homogeneous Dirichlet boundary conditions and zero external forces, NS–FEM and FEM provide lower and upper bounds for the

Neumann or Robin boundary conditions â First results with a mixed formulation Dynamic equation : heat equation. Michel Duprez Rule of the mesh in the Finite Element

• Alternative formulation for a good conditioning of the system matrix â Quasi optimal convergence.. • Necessary and sufficient geometrical conditions remain open â Inclusion

The contact contribution is computed on a one-dimensional integration element which con- forms to the boundary of the structure inside the extended finite element.. In