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首页> 外文期刊>Mechanics of Advanced Materials and Structures >An exact Peano Series solution for bending analysis of imperfect layered functionally graded neutral magneto-electro-elastic plates resting on elastic foundations
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An exact Peano Series solution for bending analysis of imperfect layered functionally graded neutral magneto-electro-elastic plates resting on elastic foundations

机译：用于在弹性基础上搁置渗透分析的精确PEANO系列解决方案

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摘要

In this article, a three-dimensional solution is presented for the bending analysis of functionally graded and layered neutral magneto-electro-elastic plates resting on two-parameter elastic foundations, considering imperfect interfacial bonding. The equations of motion, Gauss's equations for electrostatics and magnetostatics, and boundary and interface conditions are satisfied exactly regardless of the number of layers. No assumptions on deformations, stresses, and magnetic and electric fields along the thickness direction are introduced. The interfacial imperfection is modeled using a generalized spring layer. The state-space method is employed for solving the governing partial differential equations. Effects of a two-parameter elastic foundation, gradient index, bonding imperfection, and applied mechanical and electrical loads on the response of the functionally graded magneto-electro-elastic plate are discussed. The obtained exact solution can serve as a benchmark for assessing the accuracy of layered functionally graded magneto-electro-elastic plate theories.
机译：在本文中，考虑到不完美的界面粘合，提出了一种用于搁置在双参数弹性基础上的功能梯度和层状中性磁力 - 电弹性板的弯曲分析的三维解决方案。运动方程，高斯静电和磁静音的方程，以及边界和接口条件的完全无论层数如何满足。介绍了沿着厚度方向的变形，应力和磁场上的关于变形，应力和磁场的假设。使用广义弹簧层建模界面缺陷。采用状态空间方法来求解控制局部微分方程。讨论了双参数弹性基础，梯度指标，粘接缺陷和应用机械和电负载对功能梯度磁电弹性板响应的影响。所获得的精确解决方案可以作为评估层状功能梯度磁力弹性板理论的精度的基准。

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