Exact analytical solutions of static electroelastic and thermoelectroelastic problems for a transversely isotropic body in curvilinear coordinate systems

• Published in: International applied mechanics Vol. 39; no. 2; pp. 132 - 169
• Main Author: PODIL'CHUK, Yu. N
• Format: Journal Article
• Language: English
• Published: London Consultants Bureau 01.02.2003; New York, NY
• Subjects: Exact sciences and technology; Fundamental areas of phenomenology (including applications); Physics; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibrations and mechanical waves; Stress concentration; Solid inclusion; Necking; Bibliographic survey; Laplace equation; Thermomechanical properties; Review; Modeling; Piezoelectric ceramics; Electroelasticity; Curvilinear coordinate; Separation method; Three dimensional model; Cavity; Anisotropy; Analytical method; Transverse isotropy; Thermoelasticity; Crack; Electromechanical properties
• ISSN: 1063-7095; 1573-8582
• DOI: 10.1023/A:1023953313612

An approach to the solution of three-dimensional static problems for a transversely isotropic (rectilinear anisotropy) body is expounded and the solutions for piezoceramic canonical bodies are systematized. The result of the study is explicit analytical solutions of three-dimensional problems. Bodies are examined whose boundary surface is the coordinate surfaces in coordinate systems that permit the separation of the variables in the three-dimensional Laplace equation. The stress concentration in bodies near necks, cavities, inclusions, and cracks is investigated. The stress intensity factors of the force field and electric induction near elliptic and parabolic cracks are determined. The contact interaction of a piezoceramic half-space with elliptic and parabolic dies is studied. The bodies are under various mechanical, thermal, and electric loads.