International Journal of Applied Mechanics, ( ISI ), Volume (13), No (10), Year (2021-12)

Title : ( Nonlinear Deformation and Numerical Post-Buckling Analysis of Plate Structures Using the Assumed Natural Strain Concept )

Authors: Mohaamad Rezaiee Pajand , Mohammadreza Ramezani ,

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Abstract

In this study, an ecient triangular element for the fast nonlinear analysis of moderately thick Mindlin{Reissner plates is proposed. The element is formulated using a newly developed method, which is based on the assumed natural strain concept, and called Continuously Variable Strain (CVS). The continuous higher-order strain eld is proposed by using the fundamental lemma of the variational calculus. Furthermore, the updated Lagrangian tensor together with rigid body terms is employed allowing for large defor- mations. The proposed element (CVST10), which is obtained by minimizing the total potential energy, has only 10 degrees of freedom and demonstrates high-eciency and fast convergence rate in analysis of problems with coarse and distorted meshes. The arc- length iterative technique is applied to handle the geometrically post-buckling behavior of homogeneous plates under various load and boundary conditions. Various numerical examples prove the accuracy of the proposed element.

Keywords

, Continuously variable strain; variational calculus; large deformation; updated Lagrangian tensor; arc, length technique; post, buckling.
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@article{paperid:1092295,
author = {Rezaiee Pajand, Mohaamad and Ramezani, Mohammadreza},
title = {Nonlinear Deformation and Numerical Post-Buckling Analysis of Plate Structures Using the Assumed Natural Strain Concept},
journal = {International Journal of Applied Mechanics},
year = {2021},
volume = {13},
number = {10},
month = {December},
issn = {1758-8251},
keywords = {Continuously variable strain; variational calculus; large deformation; updated Lagrangian tensor; arc-length technique; post-buckling.},
}

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%0 Journal Article
%T Nonlinear Deformation and Numerical Post-Buckling Analysis of Plate Structures Using the Assumed Natural Strain Concept
%A Rezaiee Pajand, Mohaamad
%A Ramezani, Mohammadreza
%J International Journal of Applied Mechanics
%@ 1758-8251
%D 2021

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