Mapping flat cracks onto penny-shaped cracks: Shear loadings

DOI10.1016/0022-5096(94)00068-GzbMath0880.73046OpenAlexW1990985112MaRDI QIDQ1355298

Paul A. Martin

Publication date: 11 February 1998

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-5096(94)00068-g

zbMATH Keywords

stress intensity factorsconformal mappingcrack-opening displacementseries of orthogonal polynomialscomplex displacementsexpansion method Fourier seriespair of coupled hypersingular integral equations

Mathematics Subject Classification ID

Related Items (4)

Computation of energy release rates for a nearly circular crack ⋮ Three-dimensional interfacial Green's functions in anisotropic bimaterials ⋮ On wrinkled penny-shaped cracks ⋮ Numerical solution for an epicycloid crack

Cites Work

• The discontinuity in the elastostatic displacement vector across a penny- shaped crack under arbitrary loads
• Nearly circular shear mode cracks
• Penny-shaped cracks
• Three-dimensional crack analysis
• Traction BIE solutions for flat cracks
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• First-Order Variation in Elastic Fields Due to Variation in Location of a Planar Crack Front
• Shear Stress Intensity Factors for a Planar Crack With Slightly Curved Front
• ORTHOGONAL POLYNOMIAL SOLUTIONS FOR ELLIPTICAL CRACKS UNDER SHEAR LOADINGS
• A Circular Crack Under Asymmetric Loads and Some Related Integral Equations
• Mapping flat cracks onto penny-shaped cracks, with application to somewhat circular tensile cracks
• Linear integral equations
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