An overview of recent results on Nitsche's method for contact problems
We summarize recent achievements in applying Nitsche's method to some contact and
friction problems. We recall the setting of Nitsche's method in the case of unilateral contact …
friction problems. We recall the setting of Nitsche's method in the case of unilateral contact …
The augmented Lagrangian method as a framework for stabilised methods in computational mechanics
In this paper we will present a review of recent advances in the application of the augmented
Lagrange multiplier method as a general approach for generating multiplier-free stabilised …
Lagrange multiplier method as a general approach for generating multiplier-free stabilised …
Mixed and Nitsche's discretizations of Coulomb frictional contact-mechanics for mixed dimensional poromechanical models
This work deals with the discretization of single-phase Darcy flows in fractured and
deformable porous media, including frictional contact at the matrix–fracture interfaces …
deformable porous media, including frictional contact at the matrix–fracture interfaces …
Skew-symmetric Nitsche's formulation in isogeometric analysis: Dirichlet and symmetry conditions, patch coupling and frictionless contact
A simple skew-symmetric Nitsche's formulation is introduced into the framework of
isogeometric analysis (IGA) to deal with various problems in small strain elasticity: essential …
isogeometric analysis (IGA) to deal with various problems in small strain elasticity: essential …
A Nitsche-based formulation for fluid-structure interactions with contact
We derive a Nitsche-based formulation for fluid-structure interaction (FSI) problems with
contact. The approach is based on the work of Chouly and Hild (SIAM J. Numer. Anal. 51 …
contact. The approach is based on the work of Chouly and Hild (SIAM J. Numer. Anal. 51 …
An unbiased Nitsche's formulation of large deformation frictional contact and self-contact
In this paper we propose an extension of Nitsche's method for frictional contact in large
elastic deformations. In fact we develop an unbiased strategy in which no asymmetry is …
elastic deformations. In fact we develop an unbiased strategy in which no asymmetry is …
ILS-MPM: An implicit level-set-based material point method for frictional particulate contact mechanics of deformable particles
Finite element simulations of frictional multi-body contact problems via conformal meshes
can be challenging and computationally demanding. To render geometrical features …
can be challenging and computationally demanding. To render geometrical features …
Residual a posteriori error estimation for frictional contact with Nitsche method
We consider frictional contact problems in small strain elasticity discretized with finite
elements and Nitsche method. Both bilateral and unilateral contact problems are taken into …
elements and Nitsche method. Both bilateral and unilateral contact problems are taken into …
A hybrid high-order discretization combined with Nitsche's method for contact and Tresca friction in small strain elasticity
F Chouly, A Ern, N Pignet - SIAM Journal on Scientific Computing, 2020 - SIAM
We devise and analyze a hybrid high-order (HHO) method to discretize unilateral and
bilateral contact problems with Tresca friction in small strain elasticity. The nonlinear …
bilateral contact problems with Tresca friction in small strain elasticity. The nonlinear …
Variational inequalities of multilayer elastic contact systems with interlayer friction: Existence and uniqueness of solution and convergence of numerical solution
Z Zhang, X Nie, J Cao - Computers & Mathematics with Applications, 2024 - Elsevier
Inspired by the layered structure models in pavement mechanics research, in this study, a
class of multilayer elastic contact systems with interlayer frictional contact conditions and …
class of multilayer elastic contact systems with interlayer frictional contact conditions and …