Structure-preserving time integration of non-isothermal finite viscoelastic continua related to variational formulations of continuum dynamics
type: Item
instance of: scholarly article
title: Structure-preserving time integration of non-isothermal finite viscoelastic continua related to variational formulations of continuum dynamics
zbMATH Open document ID: 1433.74106
author: Michael Groß
author: Matthias Bartelt
author: Peter Betsch
published in: Computational Mechanics
publication date: 2018-10-25T00:00:00Z
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74D05
Mathematics Subject Classification ID: 65M60
zbMATH DE Number: 6965875
zbMATH Keywords: entropy
zbMATH Keywords: thermo-mechanical coupling
zbMATH Keywords: structure-preserving time integration
MaRDI profile type: Publication
full work available at URL: s00466-017-1489-x
OpenAlex ID: W2764211131
Wikidata QID: Q113327332
cites work: Q4236291
cites work: Geometric Numerical Integration
cites work: Exact energy and momentum conserving algorithms for general models in nonlinear elasticity
cites work: On the formulation of high-frequency dissipative time-stepping algorithms for nonlinear dynamics. I: Low-order methods for two model problems and nonlinear elastodynamics
cites work: Discrete mechanics and variational integrators
cites work: Algorithms for coupled problems that preserve symmetries and the laws of thermodynamics: part I: Monolithic integrators and their application to finite strain thermoelasticity
cites work: Conservation properties of a time FE method?part III: Mechanical systems with holonomic constraints
cites work: Galerkin-based energy-momentum consistent time-stepping algorithms for classical nonlinear thermo-elastodynamics
cites work: On the design of energy preserving and decaying schemes for flexible, nonlinear multi-body systems
cites work: Construction and analysis of higher order Galerkin variational integrators
cites work: An energy‐entropy‐consistent time stepping scheme for nonlinear thermo‐viscoelastic continua
cites work: The finite element method with Lagrangian multipliers
cites work: Nonlinear solid mechanics. A continuum approach for engineering
cites work: A theory of finite viscoelasticity and numerical aspects
cites work: Q5584086
cites work: Thermodynamics and stability
cites work: Q4240330
cites work: Q4871701
cites work: Q4249020
cites work: Q3733040
cites work: Q4537382
cites work: Nichtlineare Finite-Element-Methoden
cites work: Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
cites work: Assumed strain finite element methods for conserving temporal integrations in non-linear solid dynamics
cites work: Q3566755
cites work: A comparison of structure-preserving integrators for discrete thermoelastic systems
cites work: Inherently energy conserving time finite elements for classical mechanics
cites work: Variational-based energy-momentum schemes of higher-order for elastic fiber-reinforced continua
cites work: A Hamiltonian formulation for elasticity and thermoelasticity
cites work: Q5683729
cites work: On the importance of the discrete maximum principle in transient analysis using finite element methods
cites work: Q3953228
cites work: Small strain plasticity: classical versus multifield formulation
cites work: Electrostatic-viscoelastic finite element model of dielectric actuators
cites work: On geometric discretization of elasticity
DOI: 10.1007/S00466-017-1489-X
description: scientific article; zbMATH DE number 6965875