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Nonlinear Axisymmetric Deformation Model for Structures of Revolution

Published online by Cambridge University Press:  03 June 2015

Ayman Mourad  and
Jawad Zaarour
Ayman Mourad*
Affiliation:
Department of Mathematics, Lebanese University, Hadath, Lebanon
Jawad Zaarour*
Affiliation:
Jean Kutzman Laboratory, Joseph Fourier University, Grenoble, France
*
Corresponding author. Email: ayman imag@yahoo.fr
Email: jawadzaarour@hotmail.com
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Abstract

An axisymmetric formulation for modeling three-dimensional deformation of structures of revolution is presented. The axisymmetric deformation model is described using the cylindrical coordinate system. Large displacement effects and material nonlinearities and anisotropy are accommodated by the formulation. Mathematical derivation of the formulation is given, and an example is presented to demonstrate the capabilities and efficiency of the technique compared to the full three-dimensional model.

Keywords

74B2074G15Modelingaxisymmetrynonlinear elasiticitylarge deformationsnumerical simulations
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 3 , Issue 4 , August 2011 , pp. 420 - 447
Copyright
Copyright © Global-Science Press 2011

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