Nonlinear-eigenvalue problem for heat conduction in a one-dimensional coupled-thermoelastic layered composite
type: Item
instance of: scholarly article
title: Nonlinear-eigenvalue problem for heat conduction in a one-dimensional coupled-thermoelastic layered composite
zbMATH Open document ID: 0623.73014
DOI: 10.1016/0020-7225(87)90051-6
published in: International Journal of Engineering Science
publication date: 1987-01-01T00:00:00Z
review text: The dynamic treatment of a one-dimensional transient coupled- thermoelastic problem of heat conduction is made for a layered plate which is exposed to a uniform sudden heating or cooling. The basic equations are transformed into a system of matrix equations, and the problem is formulated as a nonlinear eigenvalue problem of a polynomial matrix. Numerical computations are made for a plate of the sandwich structure. The real-valued eigenvalues and the complex-valued eigenvalues are given, corresponding to the thermal and mechanical modes of behaviour of the plate, respectively. The variation of those eigenvalues with the thermoelastic coupling coefficient is examined.
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 65H17
zbMATH DE Number: 4012003
zbMATH Keywords: one-dimensional transient coupled-thermoelastic problem
zbMATH Keywords: heat conduction
zbMATH Keywords: layered plate
zbMATH Keywords: uniform sudden heating
zbMATH Keywords: cooling
zbMATH Keywords: system of matrix equations
zbMATH Keywords: nonlinear eigenvalue problem
zbMATH Keywords: polynomial matrix
zbMATH Keywords: sandwich structure
zbMATH Keywords: real-valued eigenvalues
zbMATH Keywords: complex-valued eigenvalues
author: Sitiro Minagawa
MaRDI profile type: Publication
full work available at URL: 0020-7225(87)90051-6
OpenAlex ID: W1989397697
cites work: Thermoelasticity and Irreversible Thermodynamics
cites work: Q3273027
cites work: Transient Coupled Thermoelastic Boundary Value Problems in the Half-Space
cites work: A unified numerical approach for thermal stress waves
cites work: TRANSIENT SOLUTION OF A ONE-DIMENSIONAL THERMOELASTIC WAVE PROPAGATION PROBLEM
cites work: Harmonic waves in one-, two- and three-dimensional composites: Bounds for eigenfrequencies
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description: scientific article; zbMATH DE number 4012003