A truly variationally consistent and symmetric mortar-based contact formulation for finite deformation solid mechanics
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Publication:1986409
DOI10.1016/j.cma.2018.07.020zbMath1440.74246OpenAlexW2884123467MaRDI QIDQ1986409
Michael Hiermeier, Wolfgang A. Wall, Alexander Popp
Publication date: 8 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2018.07.020
Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Uses Software
Cites Work
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- Transient three-dimensional contact problems: Mortar method. Mixed methods and conserving integration
- A mortar formulation for 3D large deformation contact using NURBS-based isogeometric analysis and the augmented Lagrangian method
- A non-consistent start-up procedure for contact problems with large load-steps
- Segment-based vs. element-based integration for mortar methods in computational contact mechanics
- 2D contact smooth formulation based on the mortar method
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- 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
- A mortar segment-to-segment contact method for large deformation solid mechanics.
- An interior point method for isogeometric contact
- Quadratically and superlinearly convergent algorithms for the solution of inequality constrained minimization problems
- Large deformation frictional contact mechanics: Continuum formulation and augmented Lagrangian treatment
- A contact smoothing method for arbitrary surface meshes using Nagata patches
- Isogeometric dual mortar methods for computational contact mechanics
- On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
- The multiplier method of Hestenes and Powell applied to convex programming
- A dual mortar approach for 3D finite deformation contact with consistent linearization
- Variationally consistent discretization schemes and numerical algorithms for contact problems
- Dual Quadratic Mortar Finite Element Methods for 3D Finite Deformation Contact
- 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
- A 3D contact smoothing method using Gregory patches
- Nonlinear Continuum Mechanics for Finite Element Analysis
- Computational Contact Mechanics
- Continuous Shading of Curved Surfaces
- Two dimensional mortar contact methods for large deformation frictional sliding
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