Abstract
In this study, the transverse deflection in orthotropic composite plates as well as in isotropic plates with circular hole subjected to transverse loading is studied. This study was made numerically by using a quadrilateral finite element of four nodes with 8 degrees of freedom at each node, previously developed for the bending and mechanical buckling of laminated composite plates. The main purpose of this study is to demonstrate the accuracy of the present element for analyzing the effect of (D/A) ratio (where (D) is hole diameter and (A) is plate width) upon the transverse deflection in isotropic and orthotropic plates with different support conditions. The numerical results obtained by the present element and the finite element software ‘Abaqus’ compare favorably with those obtained by the analytic approaches and the numerical results published in literature.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Abbreviations
- D :
-
Hole diameter
- L, A, e :
-
Length, width and thickness of the plate studied
- \( N_{i} \left( {\xi , \, \eta } \right) \) :
-
Linear interpolation functions
- \( H_{00} ,{\text{ H}}_{ 0 1} ,{\text{ H}}_{ 1 0} ,{\text{ H}}_{ 1 1} \) :
-
Interpolation functions of the parent element
- \( L_{w} ,L_{\theta x} ,L_{\theta y} ,L_{\theta xy} ,L_{\theta xx} ,L_{\theta yy} \) :
-
Interpolation functions of the real element
- U :
-
Potential energy of deformation
- V :
-
Potential energy due to transverse loads
- UZ:
-
Deflection of a plate provided with an opening
- UZ*:
-
Deflection plain plate
References
Khechai, A., et al.: Finite Element Analysis of Stress Concentrations in Isotropic and Composite Plates with Elliptical Holes, in Design and Modeling of Mechanical Systems-II, pp. 427–436. Springer (2015)
Belarbi, M.O., Tati, A., Khechai, A.: Efficient Layerwise Finite Element Model for Multilayer Sandwich Plates Analysis, in Design and Modeling of Mechanical Systems-II, pp. 305–314. Springer (2015)
Khechai, A., Tati, A., Guettala, A.: Finite element analysis of stress concentrations and failure criteria in composite plates with circular holes. Front. Mech. Eng. 9(3), 281–294 (2014)
Dhatt, G., Touzot, G.: Une présentation de la méthode des éléments finis1981: Presses Université Laval
Jain, N.K., Mittal, N.: Analysis of stress concentration and deflection in isotropic and orthotropic rectangular plates with central circular hole under transverse static loading. In: 52th International Meet World Academy of Science, Engineering and Technology, Bangalore (2009)
Timoshenko, S.P., Gere, J.M.: Theory of elastic stability. McGrawHill-Kogakusha Ltd, Tokyo (1961)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing Switzerland
About this paper
Cite this paper
Bouzgou, A.A., Tati, A., Khechai, A. (2017). Analysis of Deflection in Isotropic and Orthotropic Rectangular Plates with Central Opening Under Transverse Static Loading. In: Boukharouba, T., Pluvinage, G., Azouaoui, K. (eds) Applied Mechanics, Behavior of Materials, and Engineering Systems. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-41468-3_33
Download citation
DOI: https://doi.org/10.1007/978-3-319-41468-3_33
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-41467-6
Online ISBN: 978-3-319-41468-3
eBook Packages: EngineeringEngineering (R0)