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The nonlocal and gradient theories for a large deformation of piezoelectric nanoplates

机译:压电纳米板大变形的非局部和梯度理论

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摘要

The von Karman large deformations are considered in the Mindlin plate theory described by the nonlocal and gradient elasticity for piezoelectric nanoplates. It is shown that electric intensity vector can be expressed by mechanical quantities. The governing equations for bending moments, normal and shear stresses are derived from the variational principle. The finite element method is developed for considered governing equations. Differences of both theories are presented. (C) 2017 Elsevier Ltd. All rights reserved.
机译:在Mindlin板理论中考虑了von Karman的大变形,由压电纳米板的非局部弹性和梯度弹性描述。结果表明,电强度矢量可以用机械量表示。弯矩,法向应力和剪应力的控制方程式是从变分原理导出的。针对考虑的控制方程,开发了有限元方法。提出了两种理论的差异。 (C)2017 Elsevier Ltd.保留所有权利。

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