Bifurcation and metastability in a new one-dimensional model for martensitic phase transitions
type: Item
instance of: scholarly article
title: Bifurcation and metastability in a new one-dimensional model for martensitic phase transitions
zbMATH Open document ID: 0949.74049
DOI: 10.1016/S0045-7825(98)00205-9
author: Phoebus Rosakis
author: Anna Vainchtein
author: Timothy J. Healey
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2000-12-11T00:00:00Z
Mathematics Subject Classification ID: 74N30
Mathematics Subject Classification ID: 74G65
Mathematics Subject Classification ID: 74G60
zbMATH DE Number: 1399947
zbMATH Keywords: stress-induced martensitic phase transitions
zbMATH Keywords: one-dimensional model for twinning
zbMATH Keywords: two-well nonconvex elastic energy density
zbMATH Keywords: local bifurcation analysis
zbMATH Keywords: local energy minima
zbMATH Keywords: global-bifurcation diagrams
zbMATH Keywords: phase nucleation
zbMATH Keywords: hysteresis
zbMATH Keywords: zero interfacial energy
describes a project that uses: AUTO
describes a project that uses: AUTO-86
MaRDI profile type: Publication
cites work: On the dynamics of fine structure
cites work: Structured phase transitions on a finite interval
cites work: Equilibrium of bars
cites work: Q5332396
cites work: Q3770129
cites work: Q3200125
cites work: Singular perturbations as a selection criterion for periodic minimizing sequences
cites work: On higher order gradient continuum theories in 1-D nonlinear elasticity. Derivation from and comparison to the corresponding discrete models
cites work: Finite-scale microstructures and metastability in one-dimensional elasticity
cites work: The role of the spinodal region in one-dimensional martensitic phase transitions
full work available at URL: s0045-7825(98)00205-9
OpenAlex ID: W2125277973
description: scientific article; zbMATH DE number 1399947