The concept of material forces in phase transition problems within the level-set framework
type: Item
instance of: scholarly article
title: The concept of material forces in phase transition problems within the level-set framework
zbMATH Open document ID: 1271.74370
author: Antonios I. Arvanitakis
author: V. K. Kalpakides
published in: Archive of Applied Mechanics
publication date: 2013-09-03T00:00:00Z
Mathematics Subject Classification ID: 74N20
zbMATH DE Number: 6204198
zbMATH Keywords: phase transition
zbMATH Keywords: level set method
zbMATH Keywords: material forces
zbMATH Keywords: kinetic relation
zbMATH Keywords: jump conditions
MaRDI profile type: Publication
full work available at URL: s00419-011-0517-0
OpenAlex ID: W2005666818
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: On the velocity of a moving phase boundary in solids
cites work: Jump conditions and kinetic relations at moving discontinuities
cites work: Material forces and phase transitions in elasticity
cites work: Level set methods and dynamic implicit surfaces
cites work: Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
cites work: Q4296153
cites work: A level-set approach to the computation of twinning and phase-transition dynamics
cites work: A level set approach to domain wall kinetics and domain patterning in elastic ferroelectrics
cites work: The equilibrium of material forces in a 1D phase transition problem
cites work: Moving singularities in thermoelastic solids
DOI: 10.1007/S00419-011-0517-0
description: scientific article; zbMATH DE number 6204198