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Asymptotic methods in the Griffith problem

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Publication:756497
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DOI10.1016/0021-8928(89)90062-2zbMath0722.73049OpenAlexW2091113382MaRDI QIDQ756497

V. M. Aleksandrov, Ilya I. Kudish

Publication date: 1989

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(89)90062-2


zbMATH Keywords

matched asymptotic expansionsregularelastic plane stretched at infinityinteratomic cohesion forcesnonlinear singular integrodifferential equationsmall and large openingssmooth closing of the crack edgestwo-dimensional parameters


Mathematics Subject Classification ID

Fracture and damage (74R99) Asymptotics of solutions to integral equations (45M05) Dynamical problems in solid mechanics (74H99) Singular nonlinear integral equations (45G05) Elastic materials (74B99)


Related Items (2)

Asymptotic methods in contact mechanics. ⋮ Asymptotic methods in the mechanics of continuous media: Problems with mixed boundary conditions




Cites Work

  • Numerical methods of solving a class of non-linear integral and integro-differential equations
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