论文标题

电力力学的基于横向偏异向不变的配方:稳定性,最小值和计算实现

A polyconvex transversely-isotropic invariant-based formulation for electro-mechanics: stability, minimisers and computational implementation

论文作者

Horák, M., Gil, A. J., Ortigosa, R., Kružík, M.

论文摘要

从二利内模拟的角度来看,由电动聚合物(EAP)组成的越来越复杂的微型软机器人组件(EAP)不断地要求并行发展。在原本几乎均匀的各向同性软聚合物基质中,结合了晶体学各向异性的微构造,在先进的三维致动(即伸展,弯曲,扭曲)方面显示出很大的潜力,尤其是在大型菌株中,即超出了地球吸入式Intimbility Instability of Geometrical Interbinals of Geometrical Instability。为了适应这种内在的响应,本文提出了一种现象学不变的基于横向的各向同性框架,用于模拟大型菌株的EAP。这项研究扩展了GIL和Ortigosa在Schröeder和Neff的开创性工作的帮助下,在单个物理学中赋予晶体结构的材料的背景下,GIL和Ortigosa对各向同性EAP开发了各向同性EAP。本文还总结了最小化和物质稳定性方面的关键重要结果。此外,提出了一系列的数值示例,以证明各向异性方向以及材料特性的对比度以及变形和电场的水平对EAP的响应,在经受大型三维拉伸,弯曲,弯曲,弯曲和扭曲(包括可能的乱伦开发)时的响应。

The fabrication of evermore sophisticated miniaturised soft robotic components made up of Electro-Active Polymers (EAPs) is constantly demanding parallel development from the in-silico simulation point of view. The incorporation of crystallographic anisotropic micro-architectures, within an otherwise nearly uniform isotropic soft polymer matrix, has shown great potential in terms of advanced three-dimensional actuation (i.e. stretching, bending, twisting), especially at large strains, that is, beyond the onset of geometrical pull-in instabilities. To accommodate for this in-silico response, this paper presents a phenomenological invariant-based polyconvex transversely isotropic framework for the simulation of EAPs at large strains. This research expands previous work developed by Gil and Ortigosa for isotropic EAPs with the help of the pioneering work by Schröeder and Neff in the context of polyconvexity for materials endowed with crystallographic architectures in single physics mechanics. The paper also summarises key important results both in terms of the existence of minimisers and material stability. In addition, a series of numerical examples is presented in order to demonstrate the effect that the anisotropic orientation and the contrast of material properties, as well as the level of deformation and electric field, have upon the response of the EAP when subjected to large three-dimensional stretching, bending and torsion, including the possible development of wrinkling.

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