Mapped transient infinite elements for heat transfer problems in infinite media
type: Item
instance of: scholarly article
title: Mapped transient infinite elements for heat transfer problems in infinite media
zbMATH Open document ID: 0783.73077
DOI: 10.1016/0045-7825(93)90156-R
author: Chongbin Zhao
author: Somasundaram Valliappan
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1994-01-03T00:00:00Z
review text: Based on the fundamental solutions of transient heat transfer problems in infinite media, a mapped transient infinite element is presented and the so-called heat transfer function of the element has been derived. In order to express the property matrices of the present mapped transient infinite element, a mapping technique, in which the infinite element in a global coordinate system is mapped into a strip element of finite width and infinite length in a local coordinate system, has also been developed. Using the variable substitution technique, the general integral involved in the evaluation of the property matrices of the element has been changed into a standard one for which the conventional Gauss-Legendre integration scheme can be employed.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 480377
zbMATH Keywords: fundamental solutions
zbMATH Keywords: heat transfer function of the element
zbMATH Keywords: strip element
zbMATH Keywords: variable substitution
zbMATH Keywords: Gauss-Legendre integration scheme
MaRDI profile type: Publication
cites work: Q4074449
cites work: Q3678784
cites work: Finite element analysis of problems with infinitely distant boundaries
cites work: Infinite elements
cites work: More on infinite elements
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full work available at URL: 0045-7825(93)90156-r
OpenAlex ID: W1985103104
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description: scientific article; zbMATH DE number 480377