A shooting method for nonlinear boundary value problems in a thermal piezoelectric semiconductor plate

• Published in: Zeitschrift für angewandte Mathematik und Mechanik Vol. 100; no. 12
• Main Authors: Zhao, MingHao, Yang, Changhai, Fan, CuiYing, Zhang, QiaoYun
• Format: Journal Article
• Language: English
• Published: Weinheim Wiley Subscription Services, Inc 01.12.2020
• Subjects: Boundary conditions; Boundary value problems; Constitutive equations; Constitutive relationships; Electric contacts; Electric fields; Nonlinear equations; Piezoelectricity; Pyroelectricity; shooting method; Stress distribution; temperature gradient; Temperature gradients; Thermoelasticity
• ISSN: 0044-2267; 1521-4001
• DOI: 10.1002/zamm.201900302

Based on the pyroelectricity, piezoelectricity, and thermoelasticity in nonlinear constitutive equations, we report a thermal piezoelectric semiconductor model under a mechanical load, a Schottky contact boundary condition, and a temperature gradient. To solve this nonlinear boundary value problem, we propose a shooting method. In comparison with the results obtained by COMSOL, the shooting method is reliable. Furthermore, the influence of the temperature gradient on the extended displacements and stress fields is discussed. The numerical results show that a small change in the temperature has the remarkable effect on a mechanical electric field in thermal piezoelectric semiconductors. Based on the pyroelectricity, piezoelectricity, and thermoelasticity in nonlinear constitutive equations, we report a thermal piezoelectric semiconductor model under a mechanical load, a Schottky contact boundary condition, and a temperature gradient. To solve this nonlinear boundary value problem, we propose a shooting method. In comparison with the results obtained by COMSOL, the shooting method is reliable….