Stress distribution near the edge of a crack in a prestressed elastic body

DOI10.1016/0021-8928(86)90113-9zbMath0616.73090OpenAlexW1971916698MaRDI QIDQ1821615

L. M. Filippova

Publication date: 1986

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(86)90113-9

zbMATH Keywords

stress distributionFourier transform methodsuperpositionHadamard inequalitytransversestress intensity coefficientscrack edgelongitudinal shearinitial deformationlinearized formulationisotropic incompressible materialconditions of solvabilityAsymptotic representations of displacements and stressesnormal fracturepaired integral equationspreliminary loading

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Inhomogeneity in solid mechanics (74E05) Stress concentrations, singularities in solid mechanics (74G70) Dynamical problems in solid mechanics (74H99) Brittle damage (74R05) Elastic materials (74B99)

Related Items (4)

Planar contact problem for a body of rectangular cross section in a prestressed state ⋮ Effect of initial stresses on the stress intensity factor in a prestressed elastic layer weakened by a circular crack ⋮ A crack on the interfacial boundary of prestressed elastic media ⋮ The stability of the solutions of some boundary-value problems for hyperbolic equations

Cites Work

• On the effect of initial stresses on the opening of a circular crack
• The contact problem for a heavy half-plane
• Inverse problems of the plane theory of elasticity
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