A variety of methods have been proposed to improve the performance of dielectric elastomer transducers, which lead to the anisotropic electromechanical behavior of the material. This paper theoretically analyzes the effect of material anisotropy on the diffuse modes of instability in dielectric elastomer plates. As a first step, a transversely isotropic material is considered in the present study. The linearized incremental theory is used and the plate thickness is considered in the stability analysis. The bifurcation equations are solved with Wolfram Mathematica (Wolfram Research, Inc., 2019) [1] to obtain the critical stretches under different electric field. It is found that, compared to the isotropic material, material anisotropy results in larger unstable regions and higher critical stretches above which the plate is stable. It is also shown that material anisotropy has a stronger influence on a thinner plate. As the plate thickness increases, the influence decreases.

已经提出了多种方法来改善介电弹性体换能器的性能，这导致材料的各向异性机电行为。本文从理论上分析了材料各向异性对介电弹性体板不稳定性扩散模式的影响。第一步，在本研究中考虑横向各向同性材料。使用线性增量理论，并在稳定性分析中考虑板厚度。用Wolfram Mathematica（Wolfram Research，Inc.，2019）[1]求解分叉方程，以获得不同电场下的临界拉伸。已经发现，与各向同性材料相比，材料各向异性导致较大的不稳定区域和较高的临界拉伸，在此之上板是稳定的。还显示出材料各向异性对较薄的板具有更大的影响。随着板厚度的增加，影响减小。