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Author Kratochvil, Jan ♦ Becker, Wilfried
Source SpringerLink
Content type Text
Publisher Springer-Verlag
File Format PDF
Copyright Year ©2011
Language English
Subject Domain (in DDC) Technology ♦ Engineering & allied operations
Subject Keyword Compound asymptotic expansion ♦ Complex potential ♦ Half-plane ♦ Small hole ♦ Stress concentration ♦ Mechanics ♦ Theoretical and Applied Mechanics
Abstract The problem of an isotropic linear elastic plane or half-plane weakened by a finite number of small holes is considered. The analysis is based on the complex potential method of Muskhelishvili as well as on the theory of compound asymptotic expansions by Maz’ya. An asymptotic expansion of the solution in terms of the relative hole radii is constructed. This expansion is asymptotically valid in the whole domain, i.e. both in the vicinity of the holes and in the far-field. The approach leads to closed-form approximations of the field variables and does not require any numerical approximation. Several examples of the interaction between holes or holes and an edge are presented.
ISSN 09391533
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2011-09-15
Publisher Place Berlin/Heidelberg
e-ISSN 14320681
Journal Archive of Applied Mechanics
Volume Number 82
Issue Number 6
Page Count 12
Starting Page 743
Ending Page 754

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Source: SpringerLink