Stress-Intensity Factors and Complex Path-Independent Integrals

DOI10.1115/1.3153666zbMath0431.73078OpenAlexW2045910244MaRDI QIDQ3868913

Pericles S. Theocaris, Nikolaos I. Ioakimidis

Publication date: 1980

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.3153666

zbMATH Keywords

Muskhelishvili complex potentialsstress-intensity factorscomplex stress functionsCauchy theorem of complex analysisoptical methodpath-independent integrals about crack tipsWestergaard complex potentials

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Brittle damage (74R05)

Related Items (11)

Application of complex path-independent integrals to the solution of the problem of a straight crack in a finite plane isotropic elastic medium ⋮ Location of boundary contours and discontinuity arcs, of known shape and conditions, of analytic functions by using contour integrals ⋮ On the elastostatic significance of four boundary integrals involving biharmonic functions ⋮ A new concept of path-independent integrals for plane elasticity ⋮ A natural interpolation formula for Cauchy-type singular integral equations with generalized kernels ⋮ 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 ⋮ Application of the Green and the Rayleigh-Green reciprocal identities to path-independent integrals in two- and three-dimensional elasticity ⋮ On the location of straight discontinuity intervals of arbitrary sectionally analytic functions by using complex path-independent integrals ⋮ 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]

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