Numerical methods of solving the planar problem of elasticity theory for bodies with cracks by means of singular integral equations

DOI10.1007/BF00884076zbMath0491.73094MaRDI QIDQ5905180

L. N. Karpenko

Publication date: 1980

Published in: Soviet Applied Mechanics (Search for Journal in Brave)

zbMATH Keywords

closed (Lobatto) typescross-shaped and boundary cracksLagrange interpolation equationopen (Gauss)semiopen (Rado)

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Stress concentrations, singularities in solid mechanics (74G70) Brittle damage (74R05) Singular integral equations (45Exx)

Cites Work

• The symmetrically branched crack in an infinite elastic medium
• A method of solution of the problem of the unsymmetric cruciform crack in an infinite plane isotropic elastic medium
• The crack energy and the stress intensity factor for a cruciform crack deformed by internal pressure
• Numerical integration methods for the solution of singular integral equations

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