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 …
“Touch‐aware” contact model for peridynamics modeling of granular systems
S Mohajerani, G Wang - International Journal for Numerical …, 2022 - Wiley Online Library
This article presents an innovative “touch‐aware” frictional contact model for peridynamics to
efficiently simulate the contact behavior between irregularly shaped particles. Conventional …
efficiently simulate the contact behavior between irregularly shaped particles. Conventional …
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 …
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 mechanically consistent model for fluid–structure interactions with contact including seepage
We present a new approach for the mechanically consistent modelling and simulation of
fluid–structure interactions (FSI) with contact. The fundamental idea consists of combining a …
fluid–structure interactions (FSI) with contact. The fundamental idea consists of combining a …
Nitsche method for contact with Coulomb friction: existence results for the static and dynamic finite element formulations
We study the Nitsche-based finite element method for contact with Coulomb friction
considering both static and dynamic situations. We provide existence and/or uniqueness …
considering both static and dynamic situations. We provide existence and/or uniqueness …
HHT- and TR-BDF2 schemes for dynamic contact problems
This work focuses on the numerical performance of HHT-α and TR-BDF2 schemes for
dynamic frictionless unilateral contact problems between an elastic body and a rigid …
dynamic frictionless unilateral contact problems between an elastic body and a rigid …
Shape optimization of a linearly elastic rolling structure under unilateral contact using Nitsche's method and cut finite elements
The main motivation of this work is to develop a numerical strategy for the shape
optimization of a rolling elastic structure under contact with respect to a uniform rolling …
optimization of a rolling elastic structure under contact with respect to a uniform rolling …
Nitsche-based material point method for large deformation frictional contact problems
Large deformation problems in practical engineering are often accompanied by contact
phenomena. While the conventional material point method (MPM) is efficient at solving large …
phenomena. While the conventional material point method (MPM) is efficient at solving large …