A nonlocal higher order shear deformation theory for electro-elastic analysis of a piezoelectric doubly curved nano shell

Mohammad Arefi, Timon Rabczuk

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)496-510
Number of pages15
JournalComposites Part B: Engineering
Volume168
DOIs
Publication statusPublished - 2019 Jul 1

Fingerprint

Shear deformation
Elasticity
Electric potential
Mechanical engineering
Kinematics

Keywords

  • Applied electric potential
  • Doubly curved piezoelectric nano shells
  • Higher order shear deformation theory
  • Nonlocal parameter

ASJC Scopus subject areas

  • Ceramics and Composites
  • Mechanics of Materials
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering

Cite this

A nonlocal higher order shear deformation theory for electro-elastic analysis of a piezoelectric doubly curved nano shell. / Arefi, Mohammad; Rabczuk, Timon.

In: Composites Part B: Engineering, Vol. 168, 01.07.2019, p. 496-510.

Research output: Contribution to journalArticle

@article{7510b9265d8b49b88b15337cc5c2910d,
title = "A nonlocal higher order shear deformation theory for electro-elastic analysis of a piezoelectric doubly curved nano shell",
abstract = "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.",
keywords = "Applied electric potential, Doubly curved piezoelectric nano shells, Higher order shear deformation theory, Nonlocal parameter",
author = "Mohammad Arefi and Timon Rabczuk",
year = "2019",
month = "7",
day = "1",
doi = "10.1016/j.compositesb.2019.03.065",
language = "English",
volume = "168",
pages = "496--510",
journal = "Composites Part B: Engineering",
issn = "1359-8368",
publisher = "Elsevier Limited",

}

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

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

UR - http://www.scopus.com/inward/record.url?scp=85063760754&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85063760754&partnerID=8YFLogxK

U2 - 10.1016/j.compositesb.2019.03.065

DO - 10.1016/j.compositesb.2019.03.065

M3 - Article

VL - 168

SP - 496

EP - 510

JO - Composites Part B: Engineering

JF - Composites Part B: Engineering

SN - 1359-8368

ER -