Abstract

In the current study, layerwise theory (LT) was used to calculate thermal stresses in a clamped rectangular composite plate with nano-silver coating subjected to an external voltage. The composite plate was made of four layers of a piezoelectric or a glass layer, nano-silver coating, and two rectangular silver sub-layers. A set of seventeen differential equations was derived by using the energy method, the piezoelectric relationship, and the heat transfer theory. The numerical code based on the finite difference method (FDM) was written and the stress distribution in each layer was calculated. In order to validate the theoretical results, experimental tests were carried out to determine the temperature of the composite plate with glass and nano-silver coating. Furthermore, the results of FDM to determine, temperature, deflection, and stress distribution were compared to those obtained by the finite element method (Ansys software). It was shown that the results of experimental tests to determine temperature are close to those obtained by LT and the difference between them is less than 0.2%. Furthermore, it was shown that increasing voltage leads to an increase in the temperature gradient and consequently leads to an increase in stress distribution in the composite plate spatially on its edges.

摘要

在当前的研究中，采用分层理论（LT）来计算具有纳米银涂层的夹紧矩形复合板在外部电压作用下的热应力。该复合板由四层压电或玻璃层、纳米银涂层和两个矩形银子层制成。利用能量法、压电关系和传热理论推导了一组十七个微分方程。编写了基于有限差分法（FDM）的数值代码并计算了各层的应力分布。为了验证理论结果，进行了实验测试，确定了玻璃与纳米银涂层复合板的温度。此外，FDM 的结果可确定温度、挠度、和应力分布与有限元法（Ansys 软件）获得的结果进行比较。结果表明，实验测定温度的结果与LT测定的结果比较接近，相差小于0.2%。此外，研究表明，增加电压会导致温度梯度增加，从而导致复合板边缘空间上的应力分布增加。