Asymptotic solutions of integral equations of crack theory problems for thin plates

DOI10.1016/0021-8928(88)90071-8zbMath0702.73049OpenAlexW2036924827MaRDI QIDQ915536

V. B. Zelentsov

Publication date: 1988

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(88)90071-8

zbMATH Keywords

existencestress intensity factorsbendinguniquenessdependence on the geometrical parametersslit anglessubsequent exact inversion

Mathematics Subject Classification ID

Plates (74K20) Stress concentrations, singularities in solid mechanics (74G70) Fracture and damage (74R99) Asymptotics of solutions to integral equations (45M05) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99) Singular integral equations (45E99)

Cites Work

• Fracture of materials under compression along a periodic system of cracks under plane strain conditions
• Three-dimensional axisymmetric problem of fracture in material with two discoidal cracks under compression along the latter
• Mutual effect of a circular surface crack and a free boundary in an axisymmetric problem of the fracture of an incompressible half space in compression along the crack plane
• Plastic rupture of materials during compression along near-surface fractures
• Two-dimensional problem of the fracture of materials in compression along surface cracks
• Asymmetric Distribution of Thermal Stress in a Semi‐Infinite Elastic Solid Containing a Penny‐Shaped Crack
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