Electroelastic piezoelectric transversely isotropic half-plane with a homogeneous or a functionally graded coating is considered. Independent arbitrary variation of electroelastic properties in depth is assumed for a functionally graded coating. A strip electrode is attached to the surface of the coating. Electric potential difference is applied through an electrode which leads to electroelastic deformation of the coated half-plane. Integral transformation technique is used to reduce the problem to solution of a dual integral equation which is solved using the approximated analytical method. Asymptotically, exact analytical expressions for the displacements, electric potential and electric induction on the surface of the coating are obtained. Numerical results illustrate the difference between the distribution of displacements and electric potential on a surface for non-coated half-plane and half-plane with a homogeneous or a functionally graded coating. Influence of relative coating thickness on the results is analyzed. Differences between the results for functionally graded and homogeneous coatings are discussed.

考虑具有均匀或功能梯度涂层的电弹性压电横观各向同性的半平面。对于功能梯度涂层，假定了深度上电弹性性质的独立任意变化。带状电极被附接到涂层的表面。通过电极施加电势差，导致涂层的半平面发生电弹性变形。使用积分变换技术将问题简化为对偶积分方程的求解，该对偶积分方程是使用近似解析方法求解的。渐近地，获得了涂层表面上的位移，电势和电感应的精确解析表达式。数值结果说明了非涂层半平面和具有均匀或功能渐变涂层的半平面的表面上位移和电位分布之间的差异。分析了相对涂层厚度对结果的影响。讨论了功能梯度涂料和均质涂料的结果之间的差异。