Elastic instabilities caused by stress concentration

Ciprian D. Coman

doi:10.1016/j.ijengsci.2008.03.003

Elastic instabilities caused by stress concentration

Ciprian D. Coman

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

The qualitative behaviours of two linear bifurcation equations with variable coefficients, recently derived in connection with wrinkling instabilities in solid mechanics, are investigated by using WKB-type techniques. Although both problems feature turning points, we show that such occurrence might lead to essentially different asymptotic phenomena. In particular, it is shown here that turning points cannot always be used for identifying sites of high stress concentration in elastic solids.

Original language	English
Pages (from-to)	877-890
Number of pages	14
Journal	International Journal of Engineering Science
Volume	46
Issue number	9
Early online date	28 Apr 2008
DOIs	https://doi.org/10.1016/j.ijengsci.2008.03.003
Publication status	Published - Sep 2008
Externally published	Yes

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Cite this

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title = "Elastic instabilities caused by stress concentration",

abstract = "The qualitative behaviours of two linear bifurcation equations with variable coefficients, recently derived in connection with wrinkling instabilities in solid mechanics, are investigated by using WKB-type techniques. Although both problems feature turning points, we show that such occurrence might lead to essentially different asymptotic phenomena. In particular, it is shown here that turning points cannot always be used for identifying sites of high stress concentration in elastic solids.",

keywords = "Stress concentration, WKB methods, Wrinkling",

author = "Coman, {Ciprian D.}",

year = "2008",

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language = "English",

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T1 - Elastic instabilities caused by stress concentration

AU - Coman, Ciprian D.

PY - 2008/9

Y1 - 2008/9

N2 - The qualitative behaviours of two linear bifurcation equations with variable coefficients, recently derived in connection with wrinkling instabilities in solid mechanics, are investigated by using WKB-type techniques. Although both problems feature turning points, we show that such occurrence might lead to essentially different asymptotic phenomena. In particular, it is shown here that turning points cannot always be used for identifying sites of high stress concentration in elastic solids.

AB - The qualitative behaviours of two linear bifurcation equations with variable coefficients, recently derived in connection with wrinkling instabilities in solid mechanics, are investigated by using WKB-type techniques. Although both problems feature turning points, we show that such occurrence might lead to essentially different asymptotic phenomena. In particular, it is shown here that turning points cannot always be used for identifying sites of high stress concentration in elastic solids.

KW - Stress concentration

KW - WKB methods

KW - Wrinkling

UR - http://www.scopus.com/inward/record.url?scp=44749094334&partnerID=8YFLogxK

U2 - 10.1016/j.ijengsci.2008.03.003

DO - 10.1016/j.ijengsci.2008.03.003

M3 - Article

AN - SCOPUS:44749094334

VL - 46

SP - 877

EP - 890

JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

SN - 0020-7225

IS - 9

ER -

Elastic instabilities caused by stress concentration

Abstract

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