Abstract
Bending analysis of a sandwich plate is studied in this paper based on first order shear deformation theory and nonlocal strain gradient theory. The sandwich nanoplate is including a porous core and two piezomagnetic facesheets. It is assumed that nanoplate is resting on Pasternak's foundation. Power law function is used to describe change of porosity along the thickness direction. To account size dependency, nonlocal strain gradient theory is employed to predict this behavior. The principle of virtual work is used to derive governing equations in terms of primary functions. A nonlocal parameter and a strain gradient parameter are employed to describe both stiffness reduction and stiffness enhancement of nanoplates. The analytical solution is presented to solve seven governing equation using Navier's solution. The numerical results are presented to evaluate the effect of various distribution of porosities, porosity volume fraction, nonlocal and strain gradient parameter, electric and magnetic potentials, geometrical characteristics, and parameters of foundation on the results of problem.
| Original language | English |
|---|---|
| Pages (from-to) | 320-333 |
| Number of pages | 14 |
| Journal | Composites Part B: Engineering |
| Volume | 168 |
| DOIs | |
| Publication status | Published - 2019 Jul 1 |
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Keywords
- Bending
- First order shear deformation theory
- Nonlocal strain gradient theory
- Piezo-magneto-elasticity
- Porous graded core
- Sandwich nanoplate
ASJC Scopus subject areas
- Ceramics and Composites
- Mechanics of Materials
- Mechanical Engineering
- Industrial and Manufacturing Engineering
Cite this
Application of nonlocal strain gradient theory to size dependent bending analysis of a sandwich porous nanoplate integrated with piezomagnetic face-sheets. / Arefi, Mohammad; Kiani, Masoud; Rabczuk, Timon.
In: Composites Part B: Engineering, Vol. 168, 01.07.2019, p. 320-333.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Application of nonlocal strain gradient theory to size dependent bending analysis of a sandwich porous nanoplate integrated with piezomagnetic face-sheets
AU - Arefi, Mohammad
AU - Kiani, Masoud
AU - Rabczuk, Timon
PY - 2019/7/1
Y1 - 2019/7/1
N2 - Bending analysis of a sandwich plate is studied in this paper based on first order shear deformation theory and nonlocal strain gradient theory. The sandwich nanoplate is including a porous core and two piezomagnetic facesheets. It is assumed that nanoplate is resting on Pasternak's foundation. Power law function is used to describe change of porosity along the thickness direction. To account size dependency, nonlocal strain gradient theory is employed to predict this behavior. The principle of virtual work is used to derive governing equations in terms of primary functions. A nonlocal parameter and a strain gradient parameter are employed to describe both stiffness reduction and stiffness enhancement of nanoplates. The analytical solution is presented to solve seven governing equation using Navier's solution. The numerical results are presented to evaluate the effect of various distribution of porosities, porosity volume fraction, nonlocal and strain gradient parameter, electric and magnetic potentials, geometrical characteristics, and parameters of foundation on the results of problem.
AB - Bending analysis of a sandwich plate is studied in this paper based on first order shear deformation theory and nonlocal strain gradient theory. The sandwich nanoplate is including a porous core and two piezomagnetic facesheets. It is assumed that nanoplate is resting on Pasternak's foundation. Power law function is used to describe change of porosity along the thickness direction. To account size dependency, nonlocal strain gradient theory is employed to predict this behavior. The principle of virtual work is used to derive governing equations in terms of primary functions. A nonlocal parameter and a strain gradient parameter are employed to describe both stiffness reduction and stiffness enhancement of nanoplates. The analytical solution is presented to solve seven governing equation using Navier's solution. The numerical results are presented to evaluate the effect of various distribution of porosities, porosity volume fraction, nonlocal and strain gradient parameter, electric and magnetic potentials, geometrical characteristics, and parameters of foundation on the results of problem.
KW - Bending
KW - First order shear deformation theory
KW - Nonlocal strain gradient theory
KW - Piezo-magneto-elasticity
KW - Porous graded core
KW - Sandwich nanoplate
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UR - http://www.scopus.com/inward/citedby.url?scp=85063303349&partnerID=8YFLogxK
U2 - 10.1016/j.compositesb.2019.02.057
DO - 10.1016/j.compositesb.2019.02.057
M3 - Article
AN - SCOPUS:85063303349
VL - 168
SP - 320
EP - 333
JO - Composites Part B: Engineering
JF - Composites Part B: Engineering
SN - 1359-8368
ER -