Two-dimensional principal value hypersingular integrals for crack problems in three-dimensional elasticity

DOI10.1007/BF01173742zbMath0725.73069MaRDI QIDQ2277297

Yanyan Li

Publication date: 1990

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

zbMATH Keywords

circularsquareisotropic elasticityequilateral triangular regionsregion around the singular point

Mathematics Subject Classification ID

Fracture and damage (74R99) Integral equations with kernels of Cauchy type (45E05)

Related Items (7)

3D FRACTURE MECHANICS FOR A MODE I CRACK IN PIEZOELECTRIC MEDIA ⋮ Numerical solution of three-dimensional crack problem by using hypersingular integral equation ⋮ Hypersingular integral equation method for three-dimensional crack problem in shear mode ⋮ 3D mode I crack analysis of piezoelectrics ⋮ New Green's function for stress field and a note of its application in quantum-wire structures ⋮ Numerical solution for an epicycloid crack ⋮ Euler-Maclaurin expansions and approximations of hypersingular integrals

Cites Work

• Applications of finite-part integrals to the singular integral equations of crack problems in plane and three-dimensional elasticity
• Application of Betti's reciprocal work theorem to the construction of the hypersingular integral equation of a plane crack in three-dimensional elasticity
• Exact expression for a two-dimensional finite-part integral appearing during the numerical solution of crack problems in three-dimensional elasticity
• A new solution for the space crack problem from hypersingular integral equation
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