Mehnert Markus, Hossain Mokarram, Steinmann Paul
Department of Applied Mechanics , University of Erlangen-Nuremberg , Paul-Gordan Strasse 3, 91052 Erlangen, Germany.
Department of Applied Mechanics, University of Erlangen-Nuremberg, Paul-Gordan Strasse 3, 91052 Erlangen, Germany; Department of Mechanical and Construction Engineering, Northumbria University, Newcastle upon Tyne NE1 8ST, UK.
Proc Math Phys Eng Sci. 2016 Jun;472(2190):20160170. doi: 10.1098/rspa.2016.0170.
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-electro-mechanically 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.
如今，用于大驱动的电活性聚合物（EAP）是生产传感器、致动器和发电机的知名且有前景的候选材料。一般来说，聚合物材料对不同的温度历史敏感。在电活性聚合物在机电耦合载荷下的实验表征过程中，不仅由于外部的温差历史，而且由于高电载荷施加导致的内部温度变化，很难保持恒定温度。在本论文中，基于总能量法提出了一种热-电-机械耦合本构框架。从相关热力学定律出发，推导了热力学一致的本构方程。为了证明所提出的热-电-机械耦合框架的性能，解析求解了一个常用的非齐次边值问题，即圆柱管的拉伸和膨胀。结果说明了各种热-电-机械耦合的影响。
