A new concept of path-independent integrals for plane elasticity

DOI10.1007/BF00054958zbMath0489.73108OpenAlexW2005553730MaRDI QIDQ1166989

George J. Tsamasphyros, Pericles S. Theocaris

Publication date: 1982

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00054958

zbMATH Keywords

plane elasticitymethod to construct path-independent integralsnumber of collinear crackssingle straight crack

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Stress concentrations, singularities in solid mechanics (74G70) Brittle damage (74R05) Integral equations with kernels of Cauchy type (45E05)

Related Items (7)

Application of complex path-independent integrals to the solution of the problem of a straight crack in a finite plane isotropic elastic medium ⋮ Application of complex path-independent integrals to problems of bending of thin elastic plates ⋮ Application of the conformal mapping and the complex path-independent integrals to the location of elliptical holes and inclusions in plane elasticity problems ⋮ An eigenstrain formulation for the prediction of elastic moduli of defective fiber networks ⋮ Conservation laws in elasticity. II: Linear homogeneous isotropic elastostatics ⋮ Locating a straight crack in an infinite elastic medium by using complex path-independent integrals ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:3960283 Path-independent integrals in inhomogeneous media;Wegunabh�ngige Integrate in inhomogenen Medien]

Cites Work

• Some stress intensity factors for self-similar cracks, derived from path- independent integrals
• On a class of conservation laws in linearized and finite elastostatics
• Stress-Intensity Factors and Complex Path-Independent Integrals
• Conservation Laws and Energy-Release Rates
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