Asymptotic analysis of stability for prismatic solids under axial loads
type: Item
instance of: scholarly article
title: Asymptotic analysis of stability for prismatic solids under axial loads
zbMATH Open document ID: 0976.74021
DOI: 10.1016/S0022-5096(98)00009-X
author: W. Scherzinger
author: Nicolas Triantafyllidis
published in: Journal of the Mechanics and Physics of Solids
publication date: 2000-05-08T00:00:00Z
review text: Using special asymptotic analysis based on the multiple scale method, the authors analyze the stability of an elastic rod subjected to axial load. The method is suitable for homogeneous prismatic rods with arbitrary simply connected cross-sections. The eigenvalues of the superposed (linear) problem are determined together with the critical strain corresponding to zero eigenvalue. The authors apply their analysis to some cross-sections.
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74C15
Mathematics Subject Classification ID: 74G10
zbMATH DE Number: 1441415
zbMATH Keywords: asymptotic analysis
zbMATH Keywords: multiple scale method
zbMATH Keywords: stability
zbMATH Keywords: elastic rod
zbMATH Keywords: axial load
zbMATH Keywords: eigenvalues
zbMATH Keywords: zero eigenvalue
reviewed by: Teodor Atanacković
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1441415