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A clarification of the role of crack-tip conditions in linear elasticity with surface effects

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Abstract.
We examine the role of crack-tip conditions in the reduction of stress at a crack tip in a theory of linear elasticity with surface effects. The maximum number of allowable end conditions for complete removal of a stress singularity is demonstrated for both plane and anti-plane problems. In particular, we show that the necessary and sufficient conditions for bounded stresses at a crack tip cannot be satisfied with a first-order (curvature-independent) theory of surface effects, which leads, at most, to the reduction of the classical strong square-root singularity to a weaker logarithmic singularity.

Keywords: Cauchy integro-differential equations, first-order surface effects, natural boundary conditions

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Informasi Detail

Judul Seri

Mathematics and Mechanics of Solid

No. Panggil

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Penerbit

: SAGE Publications Ltd., 2012

Deskripsi Fisik

Mathematics and Mechanics of Solids 18(1): 59–66

Bahasa

English

ISBN/ISSN

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Klasifikasi

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Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

18(1)

Subjek

MATEMATIKA

Info Detail Spesifik

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Pernyataan Tanggungjawab

agus

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