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Static studies of stepped functionally graded magneto-electro-elastic beam subjected to different thermal loads

机译：阶梯式功能梯度磁电弹性梁在不同热载荷下的静态研究

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摘要

In this article, a three dimensional finite element (FE) formulation for a multilayered magneto-electroelastic (MEE) beam in thermal environment is presented. The equilibrium equations of the system are attained using the principle of total potential energy and linear coupled constitutive equations of MEE material. The corresponding FE equations are derived and the numerical evaluation of stepped functionally graded (SFG) MEE beam is carried out. The influence of various in-plane and through thickness temperature distributions on the direct quantities (displacements and potentials) and derived quantities (stresses, electric displacement and magnetic flux density), across the thickness of SFG-MEE cantilever beam is analyzed. In addition, an attempt has been made to investigate the effect of stacking sequence, thermo-magnetic and thermo-electric coupling on the direct quantities of the SFG-MEE beam. Further, a comparative study is made to evaluate the variations of displacements, potentials, electric displacements, magnetic flux density and stresses at different regions of the beam. It is expected that the results presented in this article may be useful in the design and analysis of MEE smart structures and sensor applications. (C) 2016 Elsevier Ltd. All rights reserved.
机译：在本文中，提出了在热环境中多层磁电弹性（MEE）梁的三维有限元（FE）公式。利用总势能原理和MEE材料的线性耦合本构方程可得到系统的平衡方程。推导了相应的有限元方程，并对阶梯式功能梯度（SFG）MEE梁进行了数值评估。分析了平面内和整个厚度温度分布对SFG-MEE悬臂梁整个厚度上的直接量（位移和电势）和导出量（应力，电位移和磁通密度）的影响。另外，已经尝试研究堆叠顺序，热磁和热电耦合对SFG-MEE光束的直接量的影响。此外，进行了比较研究，以评估梁不同区域的位移，电势，电位移，磁通密度和应力的变化。预期本文中提供的结果可能对MEE智能结构和传感器应用程序的设计和分析有用。 （C）2016 Elsevier Ltd.保留所有权利。

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