Closed-form solutions for finite-part integrals occurring in shear-mode fracture mechanics

DOI10.1007/BF01183944zbMath0812.73047OpenAlexW2332305236MaRDI QIDQ1341949

Karl Mayrhofer

Publication date: 23 May 1995

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01183944

zbMATH Keywords

Gauss hypergeometric functionelliptically shaped crack

Mathematics Subject Classification ID

Fracture and damage (74R99)

Related Items (1)

Development of a new semi-analytical method in fracture mechanics problems based on the energy release rate

Uses Software

• nag
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Cites Work

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• Finite-part integrals in problems of three-dimensional cracks
• Stress Intensity Factors
• Characterization of Cracks From Ultrasonic Scattering Data
• Derivation of a new analytical solution for a general two‐dimensional finite‐part integral applicable in fracture mechanics
• On the use of the interpolation polynomial for solutions of singular integral equations
• Analytical Solutions and a Numerical Algorithm for the Gauss's Hypergeometric Function ₂F₁ (a, b; c; z)

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