Green's function for thin plate with elliptic hole under bending heat source
type: Item
instance of: scholarly article
zbMATH Open document ID: 0999.74075
publication date: 2002-03-10T00:00:00Z
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74G05
zbMATH DE Number: 1683647
zbMATH Keywords: Green's function
zbMATH Keywords: infinite thin plate
zbMATH Keywords: bending moments
zbMATH Keywords: thermoelastic bending
zbMATH Keywords: complex variable method
zbMATH Keywords: elliptic hole
zbMATH Keywords: temperature moment
zbMATH Keywords: heat-flux moments
MaRDI profile type: Publication
author: Norio Hasebe
author: J. J. Han
title: Green's function for thin plate with elliptic hole under bending heat source
review text: The Green's function is derived in explicit form for a bending heat source in an infinite thin plate with either adiabatic or isothermal elliptic hole. First, the complex variable method is developed to treat the thermoelastic bending problem of thin plate. Then an exact Green function is derived by using the complex variable method. Illustrative examples for distributions of temperature moment, heat-flux moments and bending moments along the hole edge are shown in figures. Moreover, the authors demonstrate that multiple crack thermal bending problems can be solved by using this Green's function as the kernel of boundary integral method.NEWLINENEWLINEFor the entire collection see [Zbl 0970.00025].
reviewed by: Song Jiang
description: scientific article; zbMATH DE number 1683647