General solution technique for transient thermoelasticity of transversely isotropic solids in cylindrical coordinates
type: Item
instance of: scholarly article
title: General solution technique for transient thermoelasticity of transversely isotropic solids in cylindrical coordinates
zbMATH Open document ID: 0783.73007
DOI: 10.1007/BF01175607
author: I. A. Okumura
author: Fumihiro Ashida
author: Naotake Noda
published in: Acta Mechanica
publication date: 1994-01-13T00:00:00Z
review text: This paper discusses a new solution technique for thermoelastic problems of transversely isotropic solids in cylindrical coordinates. The present solution technique consists of five fundamental solutions which are developed from the Goodier's thermoelastic potential function, the generalized Boussinesq solutions and the Michell function. Considering the relations among the material constants of transverse isotropy, the present solution technique can be classified into two cases. One of them can be reduced to the three solution techniques above which are specifically for isotropic solids only. As an application of the present solution technique, a transient thermoelastic problem in a transversely isotropic cylinder with an external crack is analyzed.
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74E10
zbMATH DE Number: 482324
zbMATH Keywords: fundamental solutions
zbMATH Keywords: Goodier's thermoelastic potential function
zbMATH Keywords: generalized Boussinesq solutions
zbMATH Keywords: Michell function
zbMATH Keywords: transversely isotropic cylinder
zbMATH Keywords: external crack
MaRDI profile type: Publication
cites work: Q3255976
cites work: Thermal Stresses in an Orthotropic Elastic Semispace
cites work: Q3277922
full work available at URL: https://doi.org/10.1007/bf01175607
OpenAlex ID: W4229699540
description: scientific article; zbMATH DE number 482324