论文标题
功能分级的介电弹性体的弯曲控制和不稳定性
Bending control and instability of functionally graded dielectric elastomers
论文作者
论文摘要
当将电势差应用于其主要表面上的符合符号电极时，通过其厚度表现出材料特性梯度的矩形板将不均匀地变形，因为平行于主要表面的每个平面都会在不同程度上扩展或收缩。在这里，当弹性剪切模量和电介电常数都随厚度坐标而变化时，我们研究了功能分级介电板的电压诱导的介电板的弯曲响应。该理论用于新的 - 奇克电弹性能函数，其剪切模量和介电常数在整个厚度上线性变化。我们发现，通常只要黑森州保持积极，弯曲角就会随势差而增加，但是随着电势差的增加，黑森的消失可能会产生不稳定。我们得出了预测不稳定性的Hessian标准，并显示如何调整材料梯度以控制弯曲形状，并延迟或促进弹性体不稳定性的发作。
A rectangular plate of dielectric elastomer exhibiting gradients of material properties through its thickness will deform inhomogeneously when a potential difference is applied to compliant electrodes on its major surfaces, because each plane parallel to the major surfaces will expand or contract to a different extent. Here we study the voltage-induced bending response of a functionally graded dielectric plate on the basis of the nonlinear theory of electro-elasticity, when both the elastic shear modulus and the electric permittivity change with the thickness coordinate. The theory is illustrated for a neo-Hookean electro-elastic energy function with the shear modulus and permittivity varying linearly across the thickness. We find that in general the bending angle increases with the potential difference provided the Hessian remains positive, but instability can arise as the potential difference increases and the Hessian vanishes. We derive the Hessian criterion for predicting the instability, and show how the material gradients can be tuned to control the bending shape, and to delay or promote the onset of the instability of the elastomer.
