Thermal problem of curvilinear cracks in bonded dissimilar materials with a point heat source
type: Item
instance of: scholarly article
title: Thermal problem of curvilinear cracks in bonded dissimilar materials with a point heat source
zbMATH Open document ID: 0793.73109
DOI: 10.1016/0017-9310(93)90070-M
author: L. Y. Kuo
author: C. K. Chao
published in: International Journal of Heat and Mass Transfer
publication date: 1994-03-24T00:00:00Z
review text: The special boundary value problem for the function \(\Phi(z)\) analytic on the circle \(| z|= 1\) has been solved in closed form. The circle is subdivided into two arcs, and the conditions \(\Phi^ += a \Phi^ -+ b \overline{\Phi^ -}+ c\) and \(\text{Re }\Phi^ \pm= 0\) hold on the first and on the second arc, respectively. Here \(a\) and \(b\) are given constants, \(c\) is a given function. The subscripts \(+\) and \(-\) are used to denote the boundary values of \(\Phi\) as they are approached from \(| z|< 1\) and \(| z|> 1\), respectively.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74R99
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 30E25
zbMATH DE Number: 516586
zbMATH Keywords: steady heat conduction
zbMATH Keywords: Hilbert problem
reviewed by: Vladimir Mityushev
MaRDI profile type: Publication
full work available at URL: 0017-9310(93)90070-m
OpenAlex ID: W2014202884
description: scientific article; zbMATH DE number 516586