On nonlinear thermo-electro-elasticity

On nonlinear thermo-electro-elasticity
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DOI:
10.1098/rspa.2016.0170
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发表时间:
2016-06-01
影响因子:
3.5
通讯作者:
Steinmann, Paul
Steinmann, Paul
中科院分区:
综合性期刊3区
文献类型:
--
作者:
Mehnert, Markus;Hossain, Mokarram;Steinmann, Paul

文献摘要

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目前,用于大型驱动器的电活性聚合物(EAPs)是生产传感器,驱动器和发电机的知名和有前途的候选材料。一般来说,聚合物材料对不同的温度历史是敏感的。在电-机械耦合负载下的eap实验表征中,由于外部温差历史和高电负载引起的内部温度变化,使得eap难以保持恒定温度。在这篇贡献中,提出了基于总能量方法的热-电-机械耦合本构框架。从热力学相关定律出发,建立了热力学一致的本构方程。为了证明所提出的热-机电耦合框架的性能,分析解决了一个常用的非齐次边值问题,即圆柱管的延伸和膨胀问题。结果说明了各种热-电-机械耦合的影响。
Electro-active polymers (EAPs) for large actuations are nowadays well-known and promising candidates for producing sensors, actuators and generators. In general, polymeric materials are sensitive to differential temperature histories. During experimental characterizations of EAPs under electro-mechanically coupled loads, it is difficult to maintain constant temperature not only because of an external differential temperature history but also because of the changes in internal temperature caused by the application of high electric loads. In this contribution, a thermo-electro-mechanically coupled constitutive framework is proposed based on the total energy approach. Departing from relevant laws of thermodynamics, thermodynamically consistent constitutive equations are formulated. To demonstrate the performance of the proposed thermo-electromechanically coupled framework, a frequently used non-homogeneous boundary-value problem, i.e. the extension and inflation of a cylindrical tube, is solved analytically. The results illustrate the influence of various thermo-electro-mechanical couplings.