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Generalized multi-field Von-Karman equations for large deflection of artificial muscle plates

机译：人造肌肉板大挠度的广义多场Von-Karman方程

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摘要

Recent advances in manufacturing of multifunctional materials that respond to multi-field excitation have motivated the design and prototyping of sensing and actuating devices for various applications aiming to improve functionality and decrease overall cost. Computer aided design is one of the techniques utilized for achieving these goals. However, it requires the development and integration of behavioral evolution models for the respective materials. This paper addresses the initiation of an effort to develop a computational implementation of a theoretical methodology for describing such systems in a way that allows accurate prediction of their behavior within their state space. Continuum mechanics, irreversible thermodynamics, and electrodynamics are utilized to derive the general four dimensional multiphysics field equations of materials used for artificial muscle applications along with the appropriate constitutive theories. The generalized nonlinear Von-Karman equations expressing the behavior of multi-field artificial muscle-based materials are derived as a special case of electric multi-hygrothermoelasticity developed as the closest theory for modeling the behavior electro-hygro-thermo-elasto-active materials. Numerical solution examples of these equations are presented for the case of an ionic polymeric material structure.
机译：响应于多场激发的多功能材料的制造的最新进展激励了用于各种应用的感测和致动装置的设计和原型设计，旨在改善功能性并降低总体成本。计算机辅助设计是用于实现这些目标的技术之一。但是，这需要针对相应材料开发和集成行为演化模型。本文探讨了一种努力，以开发一种理论方法的计算实现来描述这种系统，从而可以准确预测其状态空间内的行为。利用连续体力学，不可逆热力学和电动力学来推导用于人造肌肉的材料的通用四维多物理场方程以及适当的本构理论。表示多场人工肌肉基材料行为的广义非线性Von-Karman方程是作为电多湿热弹性的一种特例而得到的，该电多湿热弹性是对电-湿热-弹性活性材料的行为进行建模的最接近理论。对于离子聚合材料结构的情况，给出了这些方程式的数值解示例。

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