The equilibrium of material forces in a 1D phase transition problem
type: Item
instance of: scholarly article
title: The equilibrium of material forces in a 1D phase transition problem
zbMATH Open document ID: 1173.74363
author: Konstantinos G. Balassas
author: V. K. Kalpakides
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2009-11-06T00:00:00Z
Mathematics Subject Classification ID: 74N05
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 5626649
zbMATH Keywords: material force
zbMATH Keywords: solid-solid phase transition
zbMATH Keywords: finite element method
MaRDI profile type: Publication
full work available at URL: j.cma.2006.11.010
OpenAlex ID: W2089867311
cites work: On the driving traction acting on a surface of strain discontinuity in a continuum
cites work: Strain-energy functions with multiple local minima: Modeling phase transformations using finite thermoelasticity
cites work: The concept of a balance law for a cracked elastic body and the configurational force and moment at the crack tip
cites work: An ALE formulation based on spatial and material settings of continuum mechanics. II: Classification and applications
cites work: Structural optimization by simultaneous equilibration of spatial and material forces
cites work: Q3565835
cites work: Eshelby tensor as a tensor of free enthalpy
cites work: Aspects of variational arguments in the theory of elasticity: fact and folklore
cites work: Equilibrium of bars
cites work: The force on an elastic singularity
cites work: The elastic energy-momentum tensor
cites work: Configurational forces and their application in solid mechanics
cites work: The nature of configurational forces
cites work: Configuration forces as basic concepts of continuum physics
cites work: Fracture criteria based on local properties of the Eshelby tensor.
cites work: Canonical formulation and conservation laws of thermoelasticity without dissipation
cites work: The influence of elastic constants on the shape of an inclusion.
cites work: Q5482721
cites work: Q4296153
cites work: Driving Force on Phase Transition Fronts in Thermoelectroelastic Crystals
cites work: A Hamiltonian formulation for elasticity and thermoelasticity
cites work: On configurational forces in the context of the finite element method
cites work: On material forces and finite element discretizations
cites work: Use of material forces in adaptive finite element methods
cites work: Application of material forces to hyperelastostatic fracture mechanics. I: Continuum mechanical setting
cites work: On spatial and material settings of thermo-hyperelastodynamics
cites work: Application of material forces to hyperelastostatic fracture mechanics. II: Computational setting.
cites work: A variational r‐adaption and shape‐optimization method for finite‐deformation elasticity
DOI: 10.1016/J.CMA.2006.11.010
description: scientific article; zbMATH DE number 5626649