An energy-momentum time integration scheme based on a convex multi-variable framework for non-linear electro-elastodynamics
type: Item
instance of: scholarly article
title: An energy-momentum time integration scheme based on a convex multi-variable framework for non-linear electro-elastodynamics
zbMATH Open document ID: 1440.74069
author: M. Franke
author: Alexander Janz
author: Rogelio Ortigosa
author: Antonio J. Gil
author: Peter Betsch
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2020-04-08T00:00:00Z
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74F15
zbMATH DE Number: 7188243
zbMATH Keywords: electroactive polymer
zbMATH Keywords: electro-elastodynamics
zbMATH Keywords: multi-variable convexity
zbMATH Keywords: energy-momentum scheme
describes a project that uses: HYPLAS
MaRDI profile type: Publication
full work available at URL: j.cma.2018.04.021
OpenAlex ID: W2802933886
cites work: A 2-D coupled BEM-FEM simulation of electro-elastostatics at large strain
cites work: On 3-D coupled BEM-FEM simulation of nonlinear electro-elastostatics
cites work: A nonlinear field theory of deformable dielectrics
cites work: Nonlinear electroelasticity
cites work: Transversely isotropic nonlinear electro-active elastomers
cites work: Q3335096
cites work: Instabilities in multilayered soft dielectrics
cites work: Fiber-constrained, dielectric-elastomer composites: finite-strain response and stability analysis
cites work: Electromechanical instabilities in fiber-constrained, dielectric-elastomer composites subjected to all-around dead-loading
cites work: A new framework for large strain electromechanics based on convex multi-variable strain energies: variational formulation and material characterisation
cites work: A new framework for large strain electromechanics based on convex multi-variable strain energies: finite element discretisation and computational implementation
cites work: A new framework for large strain electromechanics based on convex multi-variable strain energies: conservation laws, hyperbolicity and extension to electro-magneto-mechanics
cites work: The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
cites work: Exact energy and momentum conserving algorithms for general models in nonlinear elasticity
cites work: Energy–momentum consistent finite element discretization of dynamic finite viscoelasticity
cites work: Energy-momentum consistent algorithms for dynamic thermomechanical problems --- application to mortar domain decomposition problems
cites work: Structure-preserving integrators in nonlinear structural dynamics and flexible multibody dynamics
cites work: An analysis of the stress formula for energy-momentum methods in nonlinear elastodynamics
cites work: A mixed variational framework for the design of energy-momentum schemes inspired by the structure of polyconvex stored energy functions
cites work: Conservation properties of a time FE method. Part IV: Higher order energy and momentum conserving schemes
cites work: Q4749279
cites work: A computational framework for polyconvex large strain elasticity
cites work: A computational framework for incompressible electromechanics based on convex multi-variable strain energies for geometrically exact shell theory
cites work: Nonlinear Solid Mechanics for Finite Element Analysis: Statics
cites work: A First Course in Continuum Mechanics
cites work: A multiplicative approach for nonlinear electro-elasticity
cites work: Computational structural and material stability analysis in finite electro-elasto-statics of electro-active materials
cites work: Electrostatic Forces and Stored Energy for Deformable Dielectric Materials
cites work: Nonlinear electroelastic deformations
cites work: A computational framework for large strain nearly and truly incompressible electromechanics based on convex multi-variable strain energies
cites work: Convexity conditions and existence theorems in nonlinear elasticity
cites work: Some Open Problems in Elasticity
cites work: Numerical modelling of non-linear electroelasticity
cites work: A new mixed finite element based on different approximations of the minors of deformation tensors
cites work: A curvilinear high order finite element framework for electromechanics: from linearised electro-elasticity to massively deformable dielectric elastomers
Wikidata QID: Q129900001
DOI: 10.1016/J.CMA.2018.04.021
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description: scientific article; zbMATH DE number 7188243