A computational approach for thermo-elasto-plastic frictional contact based on a monolithic formulation using non-smooth nonlinear complementarity functions

Abstract A new monolithic solution scheme for thermo-elasto-plasticity and thermo-elasto-plastic frictional contact with finite deformations and finite strains is presented. A key feature is the reformulation of all involved inequality constraints, namely those of Hill’s orthotropic yield criterion...

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Main Authors: Alexander Seitz, Wolfgang A. Wall, Alexander Popp
Format: Article
Language:English
Published: SpringerOpen 2018-03-01
Series:Advanced Modeling and Simulation in Engineering Sciences
Subjects:
Online Access:http://link.springer.com/article/10.1186/s40323-018-0098-3
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spelling doaj-3e7c0ac43ea04e1492c6610f83da39ed2020-11-24T22:08:50ZengSpringerOpenAdvanced Modeling and Simulation in Engineering Sciences2213-74672018-03-015113710.1186/s40323-018-0098-3A computational approach for thermo-elasto-plastic frictional contact based on a monolithic formulation using non-smooth nonlinear complementarity functionsAlexander Seitz0Wolfgang A. Wall1Alexander Popp2Institute for Computational Mechanics, Technical University of MunichInstitute for Computational Mechanics, Technical University of MunichInstitute for Mathematics and Computer-Based Simulation, University of the Bundeswehr MunichAbstract A new monolithic solution scheme for thermo-elasto-plasticity and thermo-elasto-plastic frictional contact with finite deformations and finite strains is presented. A key feature is the reformulation of all involved inequality constraints, namely those of Hill’s orthotropic yield criterion as well as the normal and tangential contact constraints, in terms of non-smooth nonlinear complementarity functions. Using a consistent linearization, this system of equations can be solved with a non-smooth variant of Newton’s method. A quadrature point-wise decoupled plastic constraint enforcement and the use of so-called dual basis functions in the mortar contact formulation allow for a condensation of all additionally introduced variables, thus resulting in an efficient formulation that contains discrete displacement and temperature degrees of freedom only, while, at the same time, an exact constraint enforcement is assured. Numerical examples from thermo-plasticity, thermo-elastic frictional contact and thermo-elasto-plastic frictional contact demonstrate the wide range of applications covered by the presented method.http://link.springer.com/article/10.1186/s40323-018-0098-3Contact mechanicsHeat transferFrictional heatingThermo-plasticityThermo-structure-interactionDual mortar methods
collection DOAJ
language English
format Article
sources DOAJ
author Alexander Seitz
Wolfgang A. Wall
Alexander Popp
spellingShingle Alexander Seitz
Wolfgang A. Wall
Alexander Popp
A computational approach for thermo-elasto-plastic frictional contact based on a monolithic formulation using non-smooth nonlinear complementarity functions
Advanced Modeling and Simulation in Engineering Sciences
Contact mechanics
Heat transfer
Frictional heating
Thermo-plasticity
Thermo-structure-interaction
Dual mortar methods
author_facet Alexander Seitz
Wolfgang A. Wall
Alexander Popp
author_sort Alexander Seitz
title A computational approach for thermo-elasto-plastic frictional contact based on a monolithic formulation using non-smooth nonlinear complementarity functions
title_short A computational approach for thermo-elasto-plastic frictional contact based on a monolithic formulation using non-smooth nonlinear complementarity functions
title_full A computational approach for thermo-elasto-plastic frictional contact based on a monolithic formulation using non-smooth nonlinear complementarity functions
title_fullStr A computational approach for thermo-elasto-plastic frictional contact based on a monolithic formulation using non-smooth nonlinear complementarity functions
title_full_unstemmed A computational approach for thermo-elasto-plastic frictional contact based on a monolithic formulation using non-smooth nonlinear complementarity functions
title_sort computational approach for thermo-elasto-plastic frictional contact based on a monolithic formulation using non-smooth nonlinear complementarity functions
publisher SpringerOpen
series Advanced Modeling and Simulation in Engineering Sciences
issn 2213-7467
publishDate 2018-03-01
description Abstract A new monolithic solution scheme for thermo-elasto-plasticity and thermo-elasto-plastic frictional contact with finite deformations and finite strains is presented. A key feature is the reformulation of all involved inequality constraints, namely those of Hill’s orthotropic yield criterion as well as the normal and tangential contact constraints, in terms of non-smooth nonlinear complementarity functions. Using a consistent linearization, this system of equations can be solved with a non-smooth variant of Newton’s method. A quadrature point-wise decoupled plastic constraint enforcement and the use of so-called dual basis functions in the mortar contact formulation allow for a condensation of all additionally introduced variables, thus resulting in an efficient formulation that contains discrete displacement and temperature degrees of freedom only, while, at the same time, an exact constraint enforcement is assured. Numerical examples from thermo-plasticity, thermo-elastic frictional contact and thermo-elasto-plastic frictional contact demonstrate the wide range of applications covered by the presented method.
topic Contact mechanics
Heat transfer
Frictional heating
Thermo-plasticity
Thermo-structure-interaction
Dual mortar methods
url http://link.springer.com/article/10.1186/s40323-018-0098-3
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