A unified formulation for interface coupling and frictional contact modeling with embedded error estimation

DOI10.1002/nme.4326zbMath1352.74193OpenAlexW1546234514MaRDI QIDQ2952096

Arif Masud, Timothy J. Truster, Lawrence A. Bergman

Publication date: 30 December 2016

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.4326

zbMATH Keywords

discontinuous Galerkin methoda posteriori error estimationcontact mechanicsstabilized methodresidual-free bubblesvariational multiscale framework

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items

A stabilized, symmetric Nitsche method for spatially localized plasticity ⋮ A discontinuous/continuous Galerkin method for modeling of interphase damage in fibrous composite systems ⋮ A weighted Nitsche stabilized method for small-sliding contact on frictional surfaces ⋮ An interface-enriched generalized finite element formulation for locking-free coupling of non-conforming discretizations and contact ⋮ Variational multiscale immersed boundary method for incompressible turbulent flows ⋮ Finite strain primal interface formulation with consistently evolving stabilization ⋮ An elastic‐inelastic model and embedded bounce‐back control for layered printing with cementitious materials ⋮ A review of VMS a posteriori error estimation with emphasis in fluid mechanics ⋮ A robust interface finite element formulation for modeling brittle material failure problems ⋮ A variational multiscale method with immersed boundary conditions for incompressible flows ⋮ Physics-constrained data-driven variational method for discrepancy modeling ⋮ A variational multiscale discontinuous Galerkin formulation for both implicit and explicit dynamic modeling of interfacial fracture ⋮ Synchronous and Concurrent Multidomain Computing Method for Cloud Computing Platforms ⋮ On the algorithmic and implementational aspects of a discontinuous Galerkin method at finite strains ⋮ Primal interface formulation for coupling multiple PDEs: a consistent derivation via the variational multiscale method ⋮ Interfacial stabilization at finite strains for weak and strong discontinuities in multi-constituent materials ⋮ A unified mixture formulation for density and volumetric growth of multi-constituent solids in tissue engineering

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A variational multiscale a posteriori error estimation method for mixed form of nearly incompressible elasticity
• A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity
• A perturbed Lagrangian formulation for the finite element solution of contact problems
• A formulation for frictionless contact problems using a weak form introduced by Nitsche
• Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method
• A mortar segment-to-segment contact method for large deformation solid mechanics.
• A stabilized mixed discontinuous Galerkin method for Darcy flow
• A variational multiscale method for inelasticity: application to superelasticity in shape memory alloys
• A finite element method for the simulation of strong and weak discontinuities in solid mechanics
• Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
• Discontinuous Galerkin methods for non-linear elasticity
• A Stabilized Mixed Finite Element Method for Nearly Incompressible Elasticity
• A stabilized mixed finite element method for the first‐order form of advection–diffusion equation
• An Interior Penalty Finite Element Method with Discontinuous Elements
• Mixed and Hybrid Finite Element Methods
• An augmented lagrangian treatment of contact problems involving friction
• A finite element method for domain decomposition with non-matching grids
• Domain Decomposition with Nonmatching Grids: Augmented Lagrangian Approach

This page was built for publication: A unified formulation for interface coupling and frictional contact modeling with embedded error estimation