Thermoelastic waves in a thin plate
type: Item
instance of: scholarly article
title: Thermoelastic waves in a thin plate
zbMATH Open document ID: 0602.73010
DOI: 10.1007/BF01176872
author: C. V. Massalas
published in: Acta Mechanica
publication date: 1987-01-01T00:00:00Z
review text: In the present work we deal with the propagation of thermoelastic waves in a thin plate occupying the Cartesian space \((x_ 1\in [- \infty,+\infty],\quad x_ 2\in [-\alpha,+\alpha],\quad x_ 3\in [- \delta,+\delta])\). The analysis is based on the generalized theory of thermoelasticity proposed by \textit{H. W. Lord} and \textit{Y. Shulman} modified for plane stress problems [Mech. Phys. Solids 15, 299-309 (1967; Zbl 0156.227)]. A mathematical analysis is presented to study the wave motion characteristics of the plate and the proposed analysis is applied for the special cases of very short and very long waves.
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74J99
zbMATH DE Number: 3972294
zbMATH Keywords: homogeneous and isotropic thin plate of infinite length
zbMATH Keywords: plane stress
zbMATH Keywords: frequency equation
zbMATH Keywords: symmetrical and antisymmetrical motions
zbMATH Keywords: phase velocity
zbMATH Keywords: attenuation constant
zbMATH Keywords: thermoelastic waves
zbMATH Keywords: Cartesian space
zbMATH Keywords: generalized theory of thermoelasticity
zbMATH Keywords: wave motion characteristics
zbMATH Keywords: very short
zbMATH Keywords: very long waves
MaRDI profile type: Publication
cites work: Q4139752
cites work: Thermal coupling of waves in a plate
cites work: A generalized dynamical theory of thermoelasticity
cites work: Thermoelasticity
cites work: Plane waves in generalized thermoelasticity
cites work: Thermoelastic waves in solids with thermal relaxation
cites work: Electromagneto-Thermoelastic Plane Waves in Solids With Thermal Relaxation
cites work: On plane waves in generalized thermoelasticity
cites work: On electromagneto-thermoelastic plane waves
cites work: On surface waves in generalized thermoelasticity
cites work: Waves of general type propagating in a liquid layer sandwiched between two thermo-elastic half-spaces
cites work: On the propagation of a thermoelastic wave at a thin infinite plate immersed in an infinite liquid with thermal relaxation
cites work: Edge waves in a thermoelastic plate
cites work: Longitudinal vibrations of a circular cylinder coupled with a thermal field
description: scientific article; zbMATH DE number 3972294