Published October 2010 | Version v1
Journal article Metadata-only

Stationary solutions to a thermoelastic system on shape memory materials

Creators

  • 1. Division of Mathematical Science, Department of Systems Innovation, Graduate School of Engineering Science, Osaka University, 1-3 Machikaneyamacho, Toyonaka, Osaka 560-8531 (Japan)

Description

We study a system of partial differential equations concerning thermoelastic bodies with shape memory. The adiabatic stationary state is formulated as a nonlinear eigenvalue problem with nonlocal terms associated with the total energy. Then the variational structures, the existence of the stationary solutions, their stability and the bifurcation of the solution are studied

Availability note (English)

Available from http://dx.doi.org/10.1088/0951-7715/23/10/015

Additional details

Identifiers

DOI
10.1088/0951-7715/23/10/015;
PII
S0951-7715(10)44994-4;

Publishing Information

Journal Title
Nonlinearity (Print)
Journal Volume
23
Journal Issue
10
Journal Page Range
p. 2623-2656
ISSN
0951-7715

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
45034631
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BIFURCATION; EIGENVALUES; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; PARTIAL DIFFERENTIAL EQUATIONS; SHAPE MEMORY EFFECT; STABILITY; THERMOELASTICITY; VARIATIONAL METHODS
Descriptors DEC
CALCULATION METHODS; DIFFERENTIAL EQUATIONS; ELASTICITY; EQUATIONS; MECHANICAL PROPERTIES