A Circular Crack Under Asymmetric Loads and Some Related Integral Equations

DOI10.1115/1.3424661zbMath0426.73088OpenAlexW2023130574MaRDI QIDQ3863526

Steen Krenk

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1115/1.3424661

zbMATH Keywords

integral equationsboundary-value problems for circular diskcircular crack under general asymmetric loadsNeumann series expansion of the kernel in terms of Gegenbauer polynomials

Mathematics Subject Classification ID

Plates (74K20) Brittle damage (74R05)

Related Items (15)

Scattering of elastic waves by non-planar cracks ⋮ Cracks in anisotropic media: pseudodifferential equations, wave fronts, and Irwin's energy release rate extension ⋮ Generation of internal gravity waves by an oscillating horizontal disc ⋮ Radiation of water waves by a submerged nearly circular plate ⋮ Mapping flat cracks onto penny-shaped cracks: Shear loadings ⋮ Computation of energy release rates for a nearly circular crack ⋮ Gemischte Fourier‐Randelementmethoden zur Berechnung zeitharmonischer Streufelder an Schirmen ⋮ Some integral relations of Hankel transform type and applications to elasticity theory ⋮ Closed-form inverses of the weakly singular and hypersingular operators on disks ⋮ Hypersingular integral equations over a disc: convergence of a spectral method and connection with Tranter's method ⋮ Water wave radiation by a submerged rough disc ⋮ Stresses from arbitrary loads on a penny-shaped crack ⋮ Small perturbations in the type of boundary conditions for an elliptic operator ⋮ The discontinuity in the elastostatic displacement vector across a penny- shaped crack under arbitrary loads ⋮ Numerical solution for an epicycloid crack

This page was built for publication: A Circular Crack Under Asymmetric Loads and Some Related Integral Equations