[HTML][HTML] A new Kirchhoff plate model based on a modified couple stress theory

GC Tsiatas - International Journal of solids and structures, 2009 - Elsevier
In this paper a new Kirchhoff plate model is developed for the static analysis of isotropic
micro-plates with arbitrary shape based on a modified couple stress theory containing only …

Isogeometric analysis of functionally graded carbon nanotube reinforced composite nanoplates using modified couple stress theory

CL Thanh, P Phung-Van, CH Thai, H Nguyen-Xuan… - Composite …, 2018 - Elsevier
In this paper, we present for the first time a size-dependent model based on the modified
couple stress theory (MCST) and isogeometric analysis (IGA) for the static and free vibration …

A refined size-dependent couple stress theory for laminated composite micro-plates using isogeometric analysis

CL Thanh, AJM Ferreira, MA Wahab - Thin-Walled Structures, 2019 - Elsevier
In this article, a refined modified couple stress theory based on isogeomeric analysis to
capture the small-scale effect on laminated composite micro-plates is developed for the first …

A Timoshenko beam element based on the modified couple stress theory

MH Kahrobaiyan, M Asghari, MT Ahmadian - International Journal of …, 2014 - Elsevier
Since the classical continuum theory is neither able to evaluate the accurate stiffness nor
able to justify the size-dependency of micro-scale structures, the non-classical continuum …

Small size-effect isogeometric analysis for linear and nonlinear responses of porous metal foam microplate

T Cuong-Le, M Hoang-Le, AJM Ferreira… - Composite Structures, 2022 - Elsevier
The main objective of this paper is to explore the linear and nonlinear responses of porous
metal foam micro-plate using a modified couple stress theory coupled with isogeometric …

A new modified couple stress theory for anisotropic elasticity and microscale laminated Kirchhoff plate model

W Chen, X Li - Archive of Applied Mechanics, 2014 - Springer
A new modified couple stress theory for anisotropic elasticity is proposed. This theory
contains three material length scale parameters. Differing from the modified couple stress …

Size effect on the static, dynamic and buckling analysis of orthotropic Kirchhoff-type skew micro-plates based on a modified couple stress theory: comparison with the …

GC Tsiatas, AJ Yiotis - Acta Mechanica, 2015 - Springer
The size effect on orthotropic Kirchhoff-type skew micro-plates is investigated based on a
modified couple stress theory. For a three-dimensional orthotropic body, three additional …

Nonlinear primary resonance of third-order shear deformable functionally graded nanocomposite rectangular plates reinforced by carbon nanotubes

R Ansari, R Gholami - Composite Structures, 2016 - Elsevier
The aim of this paper is to numerically investigate the geometrically nonlinear primary
resonance of third-order shear deformable functionally graded carbon nanotube reinforced …

[HTML][HTML] Free vibration of a micro-scale composite laminated Reddy plate using a finite element method based on the new modified couple stress theory

Y Ma, Y Gao, W Yang, D He - Results in Physics, 2020 - Elsevier
In this study, a non-confirming element which is a combination of the BCIZ and refined
triangular non-conforming element is developed for the free vibration analysis of micro-scale …

A strain gradient Timoshenko beam element: application to MEMS

MH Kahrobaiyan, M Asghari, MT Ahmadian - Acta Mechanica, 2015 - Springer
The classical continuum theory not only underestimates the stiffness of microscale structures
such as microbeams but is also unable to capture the size dependency, a phenomenon …