Transverse shear effects for through-cracks in an elastic plate

DOI10.1016/0020-7683(85)90111-8zbMath0579.73103OpenAlexW2022282860MaRDI QIDQ1067488

B. George

Publication date: 1985

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7683(85)90111-8

zbMATH Keywords

exact solutionWiener-Hopf techniqueLaplace equationHelmholtz equationthin elastic platestate of stresscrack tip stresscomplicated boundary layercrack tip boundary layer solutiondeformation fieldsfinite lateral contraction at the crack tipgeneralized plane stress solutioninfluence of transverse shearinner solution merges smoothlyreal integraltensile opening mode of deformationthrough-cracks

Mathematics Subject Classification ID

Plates (74K20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Brittle damage (74R05)

Related Items (8)

Transverse singular effects in V-shaped notches stressed in mode II ⋮ On the effect of an out-of-plane constraint on the three-dimensional crack front fields in a thin elastic plate ⋮ On using the Kane-Mindlin theory in the analysis of cracks in plates ⋮ A generalized plane strain theory for transversely isotropic piezoelectric plates ⋮ The stress field near the tip of an accelerating crack ⋮ Effect of plate thickness on stress state at sharp notches and the strength paradox of thick plates ⋮ Dynamic fracture analysis of Kane-Mindlin plates using the dual boundary element method ⋮ An application of the Kane and Mindlin theory to crack problems in plates of arbitrary thickness

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