Asymptotic description of the logarithmic singular stress field and its application
type: Item
instance of: scholarly article
title: Asymptotic description of the logarithmic singular stress field and its application
zbMATH Open document ID: 0935.74035
DOI: 10.1016/S0020-7683(97)00260-6
author: K. Appert
published in: International Journal of Solids and Structures
publication date: 2000-05-09T00:00:00Z
review text: The type of \(\ln(r)\) stress singularity for a joint between two dissimilar materials under thermal loading is treated by the Mellin transform method. Emphasis is placed on the asymptotic description of the stress distribution near the singular point. The angular functions used to describe the stresses are given in a general form, which are different from those for the same joint under edge tractions. For a quarter-plane joint angular functions are given in an explicit form. Finally, examples are presented to show when the asymptotic solution can be used for practicallly relevant joints.
Mathematics Subject Classification ID: 74G70
Mathematics Subject Classification ID: 74G10
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74K30
zbMATH DE Number: 1283569
zbMATH Keywords: thermal loading
zbMATH Keywords: Mellin transform method
zbMATH Keywords: angular functions
zbMATH Keywords: quarter-plane joint
zbMATH Keywords: asymptotic solution
MaRDI profile type: Publication
full work available at URL: s0020-7683(97)00260-6
OpenAlex ID: W2020843272
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description: scientific article; zbMATH DE number 1283569