Standard

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. p. 127-142.

Research output: Chapter in Book/Report/Conference proceeding › Article in an anthology

Harvard

Grekov, MA & Morozov, NF 2009, Some modern methods in mechanics of cracks. in MODERN ANALYSIS AND APPLICATIONS. ADVANCES AND APLICATIONS, Vol.191, p.127-142 ser.OPERATOR THEORY. Birkhäuser Verlag AG, pp. 127-142. https://doi.org/10.1007/978-3-7643-9921-4_8

APA

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

Vancouver

Grekov MA, Morozov NF. Some modern methods in mechanics of cracks. In MODERN ANALYSIS AND APPLICATIONS. ADVANCES AND APLICATIONS, Vol.191, p.127-142 ser.OPERATOR THEORY. Birkhäuser Verlag AG. 2009. p. 127-142 https://doi.org/10.1007/978-3-7643-9921-4_8

Author

Grekov, M.A. ; Morozov, N.F. / Some modern methods in mechanics of cracks. MODERN ANALYSIS AND APPLICATIONS. ADVANCES AND APLICATIONS, Vol.191, p.127-142 ser.OPERATOR THEORY. Birkhäuser Verlag AG, 2009. pp. 127-142

BibTeX

@inbook{ad1a911d725b42acb5fe44675502bd15,
title = "Some modern methods in mechanics of cracks",
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",
year = "2009",
doi = "10.1007/978-3-7643-9921-4_8",
language = "English",
pages = "127--142",
booktitle = "MODERN ANALYSIS AND APPLICATIONS. ADVANCES AND APLICATIONS, Vol.191, p.127-142 ser.OPERATOR THEORY",
publisher = "Birkh{\"a}user Verlag AG",
address = "Switzerland",

}

RIS

TY - CHAP

T1 - Some modern methods in mechanics of cracks

AU - Grekov, M.A.

AU - Morozov, N.F.

PY - 2009

Y1 - 2009

N2 - 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.

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.

KW - Hybrid model

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

SP - 127

EP - 142

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

PB - Birkhäuser Verlag AG

ER -

ID: 4413710