TY - JOUR
T1 - A nonlocal higher order shear deformation theory for electro-elastic analysis of a piezoelectric doubly curved nano shell
AU - Arefi, Mohammad
AU - Rabczuk, Timon
N1 - Funding Information:
The research described in this paper was financially supported by the University of Kashan , (Grant Number: 467893/0655 ), The author would also like to thank the Iranian Nanotechnology Development Committee for their financial support
Publisher Copyright:
© 2019 Elsevier Ltd
Copyright:
Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2019/7/1
Y1 - 2019/7/1
N2 - Nonlocal higher order electro-elastic bending analysis of a piezoelectric doubly curved nano shell is studied in this paper based on nonlocal elasticity theory and third order shear deformation theory. Nonlocal piezo-elasticity relations are used for size-dependent analysis of the piezoelectric structure. One can conclude that combination of important theories such as Reddy's shear deformation theory, nonlocal piezoelasticity theory to a more complicated structure such as doubly curved shells leads to an important and novel work in context of mechanical engineering. The kinematic relations are used based on third order shear deformation theory of Reddy. The doubly curved piezoelectric nano shell is subjected to transverse loads and applied voltage. In addition, the structure is resting on Winkler-Pasternak foundation. The governing equations of nonlocal electro-elastic bending are derived based on principle of virtual work. The nonlocal electro-elastic bending results of doubly curved nano shell are investigated using Navier's method. Influence of nonlocal parameter, applied electric potential, Winkler and Pasternak's parameters of foundation is studied on the mechanical and electrical components of the piezoelectric doubly curved nano shell.
AB - Nonlocal higher order electro-elastic bending analysis of a piezoelectric doubly curved nano shell is studied in this paper based on nonlocal elasticity theory and third order shear deformation theory. Nonlocal piezo-elasticity relations are used for size-dependent analysis of the piezoelectric structure. One can conclude that combination of important theories such as Reddy's shear deformation theory, nonlocal piezoelasticity theory to a more complicated structure such as doubly curved shells leads to an important and novel work in context of mechanical engineering. The kinematic relations are used based on third order shear deformation theory of Reddy. The doubly curved piezoelectric nano shell is subjected to transverse loads and applied voltage. In addition, the structure is resting on Winkler-Pasternak foundation. The governing equations of nonlocal electro-elastic bending are derived based on principle of virtual work. The nonlocal electro-elastic bending results of doubly curved nano shell are investigated using Navier's method. Influence of nonlocal parameter, applied electric potential, Winkler and Pasternak's parameters of foundation is studied on the mechanical and electrical components of the piezoelectric doubly curved nano shell.
KW - Applied electric potential
KW - Doubly curved piezoelectric nano shells
KW - Higher order shear deformation theory
KW - Nonlocal parameter
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U2 - 10.1016/j.compositesb.2019.03.065
DO - 10.1016/j.compositesb.2019.03.065
M3 - Article
AN - SCOPUS:85063760754
SN - 1359-8368
VL - 168
SP - 496
EP - 510
JO - Composites Part B: Engineering
JF - Composites Part B: Engineering
ER -