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Analysis of adaptive plate structures by mixed layerwise finite elements

机译：混合层状有限元法分析自适应板结构。

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In this paper, a mixed layerwise finite element model for adaptive plate structures is presented. Static and free-vibration analysis of piezoelectric laminated plate structures is considered. A modified Reissner mixed variational principle is used to formulate the finite element model. The mixed functional is formulated using transverse stresses, displacement components and electrical potential as primary variables. The present model, in contrast with the standard layerwise displacement finite element model, fulfils the continuity of all primary variables across the interface between adjacent layers. The in-plane stress components and the electric displacements are evaluated in the post-computation through the piezolaminate constitutive equations. Two illustrative examples are presented for comparison. The predictions of the primary variables and the efficiency of the model, mainly with reference to the interlaminar stresses are discussed and compared with alternative three-dimensional solutions. The present solutions are found to be in good agreement with the benchmark solutions for the static and modal analysis problems.
机译：本文提出了一种自适应板结构的混合分层有限元模型。考虑了压电层压板结构的静态和自由振动分析。修改后的Reissner混合变分原理被用来表示有限元模型。使用横向应力，位移分量和电势作为主要变量来制定混合函数。与标准的分层位移有限元模型相比，本模型可以实现相邻层之间界面上所有主要变量的连续性。在计算后，通过压电复合本构方程评估面内应力分量和电位移。给出两个说明性示例以进行比较。讨论了主要变量和模型效率的预测，主要是参考层间应力，并与替代的三维解比较。发现本解决方案与静态和模态分析问题的基准解决方案非常吻合。

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