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

被引：30
|
作者：
Sladek, Jan [1 ]
Sladek, Vladimir [1 ]
Hrcek, Slavomir [2 ]
Pan, Ernian [3 ]
机构：
[1] Slovak Acad Sci, Inst Construct & Architecture, Bratislava 84503, Slovakia
[2] Univ Zilina, Fac Mech Engn, Zilina 01026, Slovakia
[3] Univ Akron, Dept Civil Engn, Comp Modeling & Simulat Grp, Akron, OH 44325 USA
来源：
COMPOSITE STRUCTURES | 2017年 / 172卷
关键词：
von Karman plate theory; Nonlocal elasticity; Size effect; Piezoelectricity; Strain gradients; FREE-VIBRATION; SIZE; PLATE; ELASTICITY;
D O I：
10.1016/j.compstruct.2017.03.080
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
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.
引用
收藏
页码：119 / 129
页数：11
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