Segment-based vs. element-based integration for mortar methods in computational contact mechanics
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Publication:487933
DOI10.1007/s00466-014-1093-2zbMath1311.74120OpenAlexW2022990319MaRDI QIDQ487933
Wolfgang A. Wall, Philipp Farah, Alexander Popp
Publication date: 23 January 2015
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-014-1093-2
Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)
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Cites Work
- Unnamed Item
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- Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS
- 2D contact smooth formulation based on the mortar method
- Numerical integration of polynomials and discontinuous functions on irregular convex polygons and polyhedrons
- Contact treatment in isogeometric analysis with NURBS
- A mortar-based frictional contact formulation for large deformations using Lagrange multipliers
- Nonlinear complementarity functions for plasticity problems with frictional contact
- A segment-to-segment contact strategy
- An accurate, robust, and easy-to-implement method for integration over arbitrary polyhedra: application to embedded interface methods
- A perturbed Lagrangian formulation for the finite element solution of contact problems
- A segment-to-segment mortar contact method for quadratic elements and large deformations
- A large deformation mortar formulation of self contact with finite sliding
- A numerical algorithm for the construction of efficient quadrature rules in two and higher dimensions
- Product Gauss cubature over polygons based on Green's integration formula
- A contact searching algorithm including bounding volume trees applied to finite sliding mortar formulations
- A mixed formulation for frictional contact problems prone to Newton like solution methods
- The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
- A mortar segment-to-segment contact method for large deformation solid mechanics.
- The mortar finite element method for contact problems.
- An abstract framework for a priori estimates for contact problems in 3D with quadratic finite elements
- Large deformation frictional contact mechanics: Continuum formulation and augmented Lagrangian treatment
- Generalized energy-momentum method for nonlinear adaptive shell dynamics
- Gauss-Green cubature and moment computation over arbitrary geometries
- A nonsmooth version of Newton's method
- Mortar-based frictional contact formulation for higher-order interpolations using the moving friction cone
- Improved robustness and consistency of 3D contact algorithms based on a dual mortar approach
- 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
- On the solvability of closest point projection procedures in contact analysis: analysis and solution strategy for surfaces of arbitrary geometry
- Enriched contact finite elements for stable peeling computations
- A large deformation frictional contact formulation using NURBS-based isogeometric analysis
- 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
- Variationally consistent discretization schemes and numerical algorithms for contact problems
- A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
- Dual Quadratic Mortar Finite Element Methods for 3D Finite Deformation Contact
- Engineering Mechanics 2
- A Primal-Dual Active Set Algorithm for Three-Dimensional Contact Problems with Coulomb Friction
- Efficient simulation of multi-body contact problems on complex geometries: A flexible decomposition approach using constrained minimization
- A finite deformation mortar contact formulation using a primal-dual active set strategy
- Two algorithms for constructing a Delaunay triangulation
- Polygons Have Ears
- 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
- Mesh tying on curved interfaces in 3D
- A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
- Isogeometric contact: a review
- Generalized Gaussian quadrature rules on arbitrary polygons
- Two dimensional mortar contact methods for large deformation frictional sliding