Integral representation and Green’s functions for 3D time-dependent thermo-piezoelectricity

• Published in: International journal of solids and structures Vol. 37; no. 42; pp. 6155 - 6171
• Main Author: Jiang, L.Z.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01-10-2000; Elsevier Science
• Subjects: Boundary integral equation; Boundary-integral methods; Computational techniques; Condensed matter: electronic structure, electrical, magnetic, and optical properties; Dielectric, piezoelectric, ferroelectric and antiferroelectric materials; Dielectrics, piezoelectrics, and ferroelectrics and their properties; Exact sciences and technology; Green’s solution; Mathematical methods in physics; Physics; Thermal stress; Thermo-piezoelectricity; Thermal stress; Thermo-piezoelectricity; Green’s solution; Boundary integral equation; Dielectric materials; Solid body; Boundary integral method; Quasi static theory; Numerical method; Green function; Time dependence; Three dimensional model; Time domain method; Discretization; Integral equations; Piezoelectricity; Radon transforms; Isotropic material; Thermal stresses; Electromechanical properties
• ISSN: 0020-7683; 1879-2146
• DOI: 10.1016/S0020-7683(99)00252-8

A boundary integral method is developed for 3D time-dependent quasistatic thermo-piezoelectricity. This time domain formulation involves only surface quantities. As a result, volume discretization is completely avoided. Green’s functions are derived by resorting to Radon transform and presented in integral form. Reductions to the case of isotropic dielectric solid have been worked out in detail and its corresponding solutions expressed in explicit form are consistent with the existing solutions.