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Hygrothermal coupling analysis of magneto-electroelastic beams using finite element methods

机译:磁电弹性梁的湿热耦合有限元分析

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In this article, the finite element (FE) method has been used to assess the coupled static behavior of hygro-thermo-magneto-electroelastic (HTMEE) beam. Influence of externally applied hygrothermal loads on the direct (displacements, electric and magnetic potentials) and derived quantities (stresses, electric displacement and magnetic flux densities) of HTMEE beam have been studied in detail. The principle of total potential energy and the coupled constitutive equations of HTMEE material are used for the FE formulation. A generalized condensation technique is adopted to solve the global FE equations of motion. Numerical examples are discussed to examine the effect of hygrothermal loads and distinct effect of moisture concentration on the behavior of the beam. Particular emphasis has been placed to analyze the influence of temperature and moisture dependent elastic stiffness coecients associated with empirical constants. Considering the independent effect of temperature and moisture on the coupled static responses, the most significant combination of the empirical constants corresponding to temperature dependency and moisture dependency are explored. Extensive computational examples are considered to examine the significant effect of boundary conditions, temperature gradient, moisture concentration gradient and empirical constants on the static behavior of HTMEE beam. It is observed that the static behavior of HTMEE beam is significantly influenced by the hygrothermal loads and empirical constants. The results presented in this article would serve as a benchmark results in design and analysis of HTMEE structures for sensors and actuators applications.
机译:在本文中,有限元(FE)方法已用于评估湿热磁磁电弹性(HTMEE)梁的耦合静态行为。详细研究了外部施加的湿热负荷对HTMEE束的直接(位移,电势和磁势)和导出量(应力,电位移和磁通密度)的影响。有限元公式采用了总势能原理和HTMEE材料的耦合本构方程。采用广义凝聚技术求解整体有限元运动方程。讨论了一些数值示例,以研究湿热负荷的影响以及水分浓度对梁性能的明显影响。已特别强调分析与经验常数相关的温度和湿度相关的弹性刚度系数的影响。考虑到温度和湿度对耦合的静态响应的独立影响,探索了与温度和湿度相关的经验常数的最重要组合。考虑了大量的计算示例,以检验边界条件,温度梯度,水分浓度梯度和经验常数对HTMEE光束静态行为的显着影响。可以看出,HTMEE光束的静态行为受到湿热负荷和经验常数的显着影响。本文介绍的结果将作为用于传感器和执行器应用的HTMEE结构的设计和分析的基准结果。

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