A note on crack propagation paths inside elastic bodies

A. M. Khludnev; V. V. Shcherbakov

doi:10.1016/j.aml.2017.11.023

A note on crack propagation paths inside elastic bodies

A. M. Khludnev, V. V. Shcherbakov

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

12 Цитирования (Scopus)

Аннотация

The note is concerned with a model of linear elastostatics for a two-dimensional inhomogeneous anisotropic body weakened by a single straight crack. On the crack faces, nonpenetration conditions/Signorini conditions are imposed. Relying upon a higher regularity result in Besov spaces for the displacement field in a neighborhood of the crack tip, we prove that the energy release rate is actually independent of the choice of a subsequent crack path (among the possible continuations of class H³).

Язык оригинала	английский
Страницы (с-по)	80-84
Число страниц	5
Журнал	Applied Mathematics Letters
Том	79
DOI	https://doi.org/10.1016/j.aml.2017.11.023
Состояние	Опубликовано - 1 мая 2018

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10.1016/j.aml.2017.11.023

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keywords = "Crack propagation path, Energy release rate, Griffith energy criterion, Variational inequality, CONTACT, CURVILINEAR CRACKS, SHAPE SENSITIVITY",

author = "Khludnev, {A. M.} and Shcherbakov, {V. V.}",

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AB - The note is concerned with a model of linear elastostatics for a two-dimensional inhomogeneous anisotropic body weakened by a single straight crack. On the crack faces, nonpenetration conditions/Signorini conditions are imposed. Relying upon a higher regularity result in Besov spaces for the displacement field in a neighborhood of the crack tip, we prove that the energy release rate is actually independent of the choice of a subsequent crack path (among the possible continuations of class H3).

KW - Crack propagation path

KW - Energy release rate

KW - Griffith energy criterion

KW - Variational inequality

KW - CONTACT

KW - CURVILINEAR CRACKS

KW - SHAPE SENSITIVITY

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EP - 84

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

SN - 0893-9659

ER -

A note on crack propagation paths inside elastic bodies

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