The Somigliana ring dislocation revisited. I: Papkovich potential solutions for dislocations in an infinite space. II: Solutions for dislocations in a half-space and in one or two perfectly bonded dissimilar half-spaces

DOI10.1007/BF00042472zbMath0889.73063MaRDI QIDQ1370469

Alexander M. Korsunsky

Publication date: 18 June 1998

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

zbMATH Keywords

harmonic functioncrack problemsBurgers vectorsAderogba's theoremLipschitz-Hankel type integral

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Micromechanics of solids (74M25) Micromechanical theories (74A60)

Related Items (6)

The effect of path cut on Somigliana ring dislocations in a half-space ⋮ The Somigliana ring dislocation revisited. I: Papkovich potential solutions for dislocations in an infinite space. II: Solutions for dislocations in a half-space and in one or two perfectly bonded dissimilar half-spaces ⋮ The state of stress induced by ring dislocations in a semi-infinite stepped shaft ⋮ The penny crack beneath the surface of a half-space: with application to the blister test ⋮ Representations of elastic fields of circular dislocation and disclination loops in terms of spherical harmonics and their application to various problems of the theory of defects ⋮ A fixed grid algorithm for simulating the propagation of a shallow hydraulic fracture with a fluid lag

Cites Work

• On the integration of the equations of motion in the classical theory of elasticity
• Stress intensity factors for the circular annulus crack
• The Somigliana ring dislocation
• Fundamental eigenstrain solutions for axisymmetric crack problems
• The Somigliana ring dislocation revisited. I: Papkovich potential solutions for dislocations in an infinite space. II: Solutions for dislocations in a half-space and in one or two perfectly bonded dissimilar half-spaces
• Continuous Distributions of Dislocations: Surface Dislocations and the Crystallography of Martensitic Transformations
• Limits of Lipschitz-Hankel Integrals
• Nuclei of Strain in the Semi-Infinite Solid
• On certain integrals of Lipschitz-Hankel type involving products of bessel functions
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