In-plane loading of a cracked elastic solid by a disc inclusion with a Mindlin-type constraint

DOI10.1007/BF00948289zbMath0625.73109OpenAlexW1984206592MaRDI QIDQ580040

A. Patrick S. Selvadurai

Publication date: 1987

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00948289

zbMATH Keywords

Hankel transformpower series expansionAbel equationsstress-intensity factoraxisymmetric interactioncentrally placed penny-shaped rigid inclusionexternal circular crackMindlin- type imperfect bi-lateral contactpartially relaxed displacement constraint

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Inhomogeneity in solid mechanics (74E05) Stress concentrations, singularities in solid mechanics (74G70) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Dynamical problems in solid mechanics (74H99) Brittle damage (74R05) Theoretical approximation of solutions to integral equations (45L05) Elastic materials (74B99) Theories of friction (tribology) (74A55)

Related Items

Interaction between annular crack and rigid disc inclusion in a transversely isotropic solid

Cites Work

• Asymmetric displacements of a rigid disc inclusion embedded in a transversely isotropic elastic medium of infinite extent
• Mixed boundary value problems for a penny-shaped cut
• Some three-dimensional inclusion problems in elasticity
• Elastic Behavior of Composite Materials: Theoretical Foundations
• Variational and Related Methods for the Overall Properties of Composites
• On the concentrated loading of certain elastic half-space problems and related external crack problems. A new approach
• Unnamed Item
• Unnamed Item
• Unnamed Item