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A meshfree formulation for large deformation analysis of flexoelectric structures accounting for the surface effects

机译：用于大型变形分析的网格普通配方，屈光度结构占面曲效应

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摘要

In this work, we present a compactly supported radial basis function (CSRBF) based meshfree method to analyse geometrically nonlinear flexoelectric nanostructures considering surface effects. Flexoelectricity is the polarization of dielectric materials due to the gradient of strain, which is different from piezoelectricity in which polarization is dependent linearly on strain. The surface effects gain prominence as the size of the structure tends to nanoscale and so their consideration is inevitable when flexoelectric nanostructures are analysed. First, the proposed meshfree formulation is validated and the influence of nonlinear strain terms on the energy conversion ability of flexoelectric beams made of a non-piezoelectric material like cubic Strontium Titanate is studied. Subsequently, the meshfree formulation for nonlinear flexoelectricity is extended to include nonlinear surface effects. It is determined that the surface effects can have notable influence on the output flexoelectric voltage of nano-sized cantilever structures in the nonlinear regime.
机译：在这项工作中，我们介绍了一种基于紧凑的支持的径向基函数（CSRBF）的网格纤维方法，以分析考虑表面效应的几何非线性屈光纳米结构。由于应变的梯度，柔性电性是介电材料的偏振，这与压电性不同，其中偏振在应变上依赖于线性。随着结构尺寸倾向于纳米级，表面效应引起突出，因此当分析柔性纳米结构时，它们的考虑是不可避免的。首先，验证了所提出的网格非线性配方，研究了非线性应变术语对由非压电材料制成的柔性电梁的能量转换能力的影响，如立方锶钛酸锶。随后，延伸非线性屈燃性的网外配方延伸以包括非线性表面效应。确定表面效应可以对非线性方案中的纳米悬臂结构的输出柔性电压产生显着影响。

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