The Character Of A Piezoelectric Layer Bonded To An Elastic Substrate Under Steady-state Loads Anti-plane Electro-mechanical Impacts

In engineering applications, piezoelectric materials are usually bonded to elastic substrates to form so-called smart materials and structures. Such materials and structures can respond to external electromechanical environments. This article studies a piezoelectric layer bonded to an elastic substrate subjected to steady-state anti-plane electromechanical loads, both of which are of finite length. The primary content as follows:Firstly, a piezoelectric layer bonded to an elastic substrate subjected to steady-state electromechanical loads are studied, both of which are of finite length. A system of differential equation which own mix boundary condition is formulated in terms of the materials'physics characteristic and load character. The closed-form solution is determined by using separate variable and Fourier cosine series.Secondly, some numerical solutions with piezoelectric materials bonded to elastic substrates subjected to steady-state electromechanical loads are given. There are stresses or electric displacement tended to infinity under different frequency, we call them characteristic frequency. The equations with characteristic frequency can be obtained by analyzing the expressions of stress and electric displacement. In engineering applications, we should keep away from them.Finally, the rules of the stress/electric displacement in the material change with the coordinates are analyzed. In this condition there will be no stress concentration, and the stress/electric displacement in the material is large almost everywhere when the frequency is closed to characteristic frequency. Under electric/dynamic load, the distribution of stress/electric displacement with x is like a period of cosine curve (or several periods under some high frequencies).The results of the article offer theory or numerical value take on important senses to study the reliability of intellectual structure.