A shooting method for nonlinear boundary value problems in a thermal piezoelectric semiconductor plate
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,...
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| Published in | Zeitschrift für angewandte Mathematik und Mechanik Vol. 100; no. 12 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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01.12.2020
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| Abstract | 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…. |
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| AbstractList | 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…. 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. Abstract 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. |
| Author | Zhang, QiaoYun Yang, Changhai Fan, CuiYing Zhao, MingHao |
| Author_xml | – sequence: 1 givenname: MingHao surname: Zhao fullname: Zhao, MingHao organization: Zhengzhou University – sequence: 2 givenname: Changhai surname: Yang fullname: Yang, Changhai organization: Zhengzhou University – sequence: 3 givenname: CuiYing surname: Fan fullname: Fan, CuiYing organization: Zhengzhou University – sequence: 4 givenname: QiaoYun surname: Zhang fullname: Zhang, QiaoYun email: zhangqy@zzu.edu.cn organization: Zhengzhou University |
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| Cites_doi | 10.1007/s11664-019-07280-w 10.1016/j.engfracmech.2014.05.011 10.1016/j.euromechsol.2018.01.010 10.1007/s10853-015-8878-3 10.1109/16.491259 10.1088/1361-665X/aa754d 10.1109/TUFFC.2005.1503961 10.1016/j.nanoen.2014.10.037 10.1016/j.commatsci.2018.05.041 10.1016/j.cnsns.2010.01.020 10.1063/1.1728525 10.1063/1.1658696 10.1007/s11664-018-6383-6 10.1016/j.mechrescom.2019.05.004 10.1016/j.nanoen.2019.104081 10.1016/j.apsusc.2007.03.020 10.1088/0953-8984/13/32/312 10.1002/zamm.19950750902 10.1002/pssb.2221350140 10.1002/adma.200602918 10.1007/s00707-004-0188-9 10.1063/1.350710 |
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| Snippet | Based on the pyroelectricity, piezoelectricity, and thermoelasticity in nonlinear constitutive equations, we report a thermal piezoelectric semiconductor model... Abstract Based on the pyroelectricity, piezoelectricity, and thermoelasticity in nonlinear constitutive equations, we report a thermal piezoelectric... |
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| SubjectTerms | 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 |
| Title | A shooting method for nonlinear boundary value problems in a thermal piezoelectric semiconductor plate |
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