Journal
COMPOSITE STRUCTURES
Volume 256, Issue -, Pages -Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.compstruct.2020.112931
Keywords
Third-order shear deformation plate theory; Modified couple stress theory; Functionally graded porous materials; Temperature-dependent properties; Maxwell-Eucken model; Nonlinear finite element analysis
Categories
Funding
- Western Michigan University
- Ministry of Science and Higher Education, Poland [W/WM-IIM/3/2020]
Ask authors/readers for more resources
In this study, a nonlinear finite element model for functionally graded porous micro-plates is developed based on the general third-order shear deformation plate theory and the modified couple stress theory. The model accounts for von Karman nonlinear strains, power-law variation of material constituents, porosity distributions, temperature-dependent properties, and length scale dependency. A parametric study demonstrates the effects of material and porosity parameters, temperature and length scale dependencies, and boundary conditions on deflections and stress distributions.
In the present study, a displacement based nonlinear finite element model for functionally graded porous micro-plates is developed based on the general third-order shear deformation plate theory and the modified couple stress theory. The developed finite element model accounts for von Karman nonlinear strains, a power-law variation of two material constituents through the plate thickness, and different distributions of porosity with a constant volume of voids on static bending of micro-plates are analyzed. The length scale dependency is captured using a single parameter of the modified couple stress theory. A power-law distribution is assumed to model the variation of the two material constituents, while the porosity distributions vary according to cosine functions. The temperature-dependent properties are obtained using a cubic-spline interpolation from experimental data. A one-dimensional steady-state heat conduction problem is solved using the effective thermal conductivity of the porous material based on the Maxwell-Eucken model to obtain temperature distribution through the plate thickness. The Newton-Raphson iteration scheme is used to solve the nonlinear system of equations. A parametric study is conducted to demonstrate the effects of material and porosity parameters, temperature and length scale dependencies, and boundary conditions on the deflections and stress distributions.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available