Exact solution to the problem of a half-plane crack in a transversely isotropic piezoelectric body subjected to antisymmetric tangential point forces

O34; An exact and complete solution of the problem of a half-plane crack in an infinite transversely isotropic piezoelectric body is presented. The upper and lower crack faces are assumed to be loaded antisymmetrically by a couple of tangential point forces in opposite directions. The solution is de...

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Bibliographic Details
Published in:Acta mechanica solida Sinica 2001-06, Vol.14 (2), p.176-182
Main Authors: HOU PENGFEI, DING HAOJIANG, GUAN FULING
Format: Article
Language:English
Subjects:
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Cross-disciplinary physics: materials science
rheology
Dielectric, piezoelectric, ferroelectric and antiferroelectric materials
Dielectrics, piezoelectrics, and ferroelectrics and their properties
Exact sciences and technology
Fatigue, corrosion fatigue, embrittlement, cracking, fracture and failure
Fatigue, embrittlement, and fracture
Materials science
Niobates, titanates, tantalates, pzt ceramics, etc
Physics
Treatment of materials and its effects on microstructure and properties
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Summary:O34; An exact and complete solution of the problem of a half-plane crack in an infinite transversely isotropic piezoelectric body is presented. The upper and lower crack faces are assumed to be loaded antisymmetrically by a couple of tangential point forces in opposite directions. The solution is derived through a limiting procedure from that of a penny-shaped crack. The expressions for the electroelastic field are given in terms of elementary functions. Finally, the numerical results of the second and third mode stress intensity factors k2 and k3 of piezoelectric materials and elastic materials are compared in figures.
ISSN:0894-9166
1860-2134