On Nix's theorem for two skew dislocations in an anisotropic piezoelectric space, half-space and bimaterial

DOI10.1007/S00033-021-01567-XzbMath1469.30089OpenAlexW3176476402MaRDI QIDQ2035759

Xu Wang, Peter Schiavone

Publication date: 25 June 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-021-01567-x

zbMATH Keywords

dislocationbimaterialhalf-spaceinteraction forceanisotropic piezoelectricityStroh octet formalism

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Electromagnetic effects in solid mechanics (74F15) Boundary value problems in the complex plane (30E25) Holomorphic functions of several complex variables (32A10) PDEs in connection with mechanics of deformable solids (35Q74) Complex-variable methods applied to problems in solid mechanics (74S70)

Cites Work

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• Interaction between non-parallel dislocations in piezoelectrics
• Two-dimensional Eshelby's problem for two imperfectly bonded piezoelectric half-planes
• Fracture mechanics for piezoelectric ceramics
• Independence of the presence of cracks or inclusions of the net interaction force acting on a dislocation by a skewed line singularity
• On Nix's Theorem for Two Skew Dislocations in Anisotropic Elastic Half-Spaces and Bimaterials

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