Closed-form solution of the equations of caustics about cracks in fracture mechanics

DOI10.1016/0016-0032(84)90059-0zbMath0522.73068OpenAlexW2091499979MaRDI QIDQ1056271

J. Blot

Publication date: 1984

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(84)90059-0

zbMATH Keywords

closed-form solutionaccuracystraight crackappropriate modification of method of Burniston and Siewertdiameters of caustic and initial curveequation of fifth degreeevaluated analytically and numericallypair of equationsplane elastic mediashape of caustic and initial curve about cracktensile loading at infinity

Mathematics Subject Classification ID

Brittle damage (74R05)

Related Items (4)

Analytical solution of polynomial equations with an application to the quintic equation ⋮ Application of quadrature rules to the determination of plane equipotential lines and other curves defined by harmonic functions ⋮ A generalization of the Siewert–Burniston method for the determination of zeros of analytic functions ⋮ A new approach to the derivation of exact analytical formulae for the zeros of sectionally analytic functions

Cites Work

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• Exact analytical solutions of \(ze^z=a\)
• Modified Gauss-Legendre, Lobatto and Radau cubature formulas for the numerical evaluation of 2-D singular integrals
• A theoretical consideration of the constrained zones in an array of interacting collinear and asymmetric cracks
• Exact Analytical Solutions of the Transcendental Equation $\alpha \sin \zeta = \zeta $
• Determination of stress intensity factors by the dynamic method of caustics for optically isotropic materials

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