Some modern methods in mechanics of cracks

M.A. Grekov; N.F. Morozov

doi:10.1007/978-3-7643-9921-4_8

Some modern methods in mechanics of cracks

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике

Аннотация

An application of some modern methods to studying cracks in aligned composites and an interaction of curvilinear cracks with an interface is presented. The first method based on Novozhilov's hybrid model is focused on estimation of variation intervals of sizes of a partially bridged equilibrium crack and bridging zone. The problem of a slightly curved crack near an interface is solved by a combination of some methods which are Muskhelishvili's method of complex potentials, an original superposition method reduced to Fredholm integral equations of the second type, and a boundary perturbation method.

Язык оригинала	английский
Название основной публикации	MODERN ANALYSIS AND APPLICATIONS. ADVANCES AND APLICATIONS, Vol.191, p.127-142 ser.OPERATOR THEORY
Издатель	Birkhäuser Verlag AG
Страницы	127-142
DOI	https://doi.org/10.1007/978-3-7643-9921-4_8
Состояние	Опубликовано - 2009

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Grekov, M. A., & Morozov, N. F. (2009). Some modern methods in mechanics of cracks. В MODERN ANALYSIS AND APPLICATIONS. ADVANCES AND APLICATIONS, Vol.191, p.127-142 ser.OPERATOR THEORY (стр. 127-142). Birkhäuser Verlag AG. https://doi.org/10.1007/978-3-7643-9921-4_8

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abstract = "An application of some modern methods to studying cracks in aligned composites and an interaction of curvilinear cracks with an interface is presented. The first method based on Novozhilov's hybrid model is focused on estimation of variation intervals of sizes of a partially bridged equilibrium crack and bridging zone. The problem of a slightly curved crack near an interface is solved by a combination of some methods which are Muskhelishvili's method of complex potentials, an original superposition method reduced to Fredholm integral equations of the second type, and a boundary perturbation method.",

keywords = "Hybrid model, equilibrium crack, bridging zone, boundary perturbation method, curvilinear crack, interface, integral equations",

author = "M.A. Grekov and N.F. Morozov",

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Some modern methods in mechanics of cracks. / Grekov, M.A.; Morozov, N.F.

MODERN ANALYSIS AND APPLICATIONS. ADVANCES AND APLICATIONS, Vol.191, p.127-142 ser.OPERATOR THEORY. Birkhäuser Verlag AG, 2009. стр. 127-142.

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике

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AB - An application of some modern methods to studying cracks in aligned composites and an interaction of curvilinear cracks with an interface is presented. The first method based on Novozhilov's hybrid model is focused on estimation of variation intervals of sizes of a partially bridged equilibrium crack and bridging zone. The problem of a slightly curved crack near an interface is solved by a combination of some methods which are Muskhelishvili's method of complex potentials, an original superposition method reduced to Fredholm integral equations of the second type, and a boundary perturbation method.

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KW - equilibrium crack

KW - bridging zone

KW - boundary perturbation method

KW - curvilinear crack

KW - interface

KW - integral equations

U2 - 10.1007/978-3-7643-9921-4_8

DO - 10.1007/978-3-7643-9921-4_8

M3 - Article in an anthology

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BT - MODERN ANALYSIS AND APPLICATIONS. ADVANCES AND APLICATIONS, Vol.191, p.127-142 ser.OPERATOR THEORY

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10.1007/978-3-7643-9921-4_8

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