Finite Deformation Contact Based on a 3D Dual Mortar and Semi-Smooth Newton Approach

DOI10.1007/978-3-642-22167-5_4zbMath1273.74544OpenAlexW154176034MaRDI QIDQ2911795

Alexander Popp, Michael W. Gee, Wolfgang A. Wall

Publication date: 3 September 2012

Published in: Trends in Computational Contact Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-22167-5_4

zbMATH Keywords

mortar finite element methodLagrange multiplier interpolation

Mathematics Subject Classification ID

Related Items (3)

A parallel finite element procedure for contact-impact problems using edge-based smooth triangular element and GPU ⋮ A Globally Convergent Filter-Trust-Region Method for Large Deformation Contact Problems ⋮ Computing pointwise contact between bodies: a class of formulations based on master-master approach

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A segment-to-segment mortar contact method for quadratic elements and large deformations
• A large deformation mortar formulation of self contact with finite sliding
• 3D fluid-structure-contact interaction based on a combined XFEM FSI and dual mortar contact approach
• A contact searching algorithm including bounding volume trees applied to finite sliding mortar formulations
• A mixed formulation for the finite element solution of contact problems
• A mortar segment-to-segment contact method for large deformation solid mechanics.
• A comparison of the \(h\)-, \(p\)-, \(hp\)-, and \(rp\)-version of the FEM for the solution of the 2D Hertzian contact problem
• A nonsmooth version of Newton's method
• A primal--dual active set strategy for nonlinear multibody contact problems
• Frictionless 2D contact formulations for finite deformations based on the mortar method
• A mortar segment-to-segment frictional contact method for large deformations
• Higher order mortar finite element methods in 3D with dual Lagrange multiplier bases
• A dual mortar approach for 3D finite deformation contact with consistent linearization
• Finite deformation frictional mortar contact using a semi-smooth Newton method with consistent linearization
• A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
• Unilateral non-linear dynamic contact of thin-walled structures using a primal-dual active set strategy
• A Primal-Dual Active Set Algorithm for Three-Dimensional Contact Problems with Coulomb Friction
• A mortar method for energy-momentum conserving schemes in frictionless dynamic contact problems
• A finite deformation mortar contact formulation using a primal-dual active set strategy
• Formulation and comparison of algorithms for frictional contact problems
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method
• A 3D mortar method for solid mechanics
• A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
• Two dimensional mortar contact methods for large deformation frictional sliding
• Discretization methods and iterative solvers based on domain decomposition

This page was built for publication: Finite Deformation Contact Based on a 3D Dual Mortar and Semi-Smooth Newton Approach