Mapping flat cracks onto penny-shaped cracks, with application to somewhat circular tensile cracks

DOI10.1090/qam/1417230zbMath0862.45005OpenAlexW2464256488MaRDI QIDQ5690226

Paul A. Martin

Publication date: 25 May 1997

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/1417230

zbMATH Keywords

Galerkin methodhypersingular integral equationpenny-shaped crackscircular tensile cracks

Mathematics Subject Classification ID

Fracture and damage (74R99) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (9)

Radiation of water waves by a submerged nearly circular plate ⋮ Mapping flat cracks onto penny-shaped cracks: Shear loadings ⋮ The elasticity-conductivity connection for materials with cracks of arbitrary shapes and orientation distributions ⋮ Computation of energy release rates for a nearly circular crack ⋮ Exact solution of some integral equations over a circular disc ⋮ Hypersingular integral equations over a disc: convergence of a spectral method and connection with Tranter's method ⋮ Integral equations with hypersingular kernels--theory and applications to fracture mechanics ⋮ On wrinkled penny-shaped cracks ⋮ Numerical solution for an epicycloid crack

This page was built for publication: Mapping flat cracks onto penny-shaped cracks, with application to somewhat circular tensile cracks