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Mathematical Modeling of Large-Amplitude Dynamic-Plastic Behavior of Circular Plates Subjected to Impulsive Loads

Published online by Cambridge University Press:  03 October 2011

Asghar Zajkani ,
Hamidreza Sefidi Shirkoohi ,
Abolfazl Darvizeh ,
Mansour Darvizeh  and
Hashem Ghareh Babaei
Asghar Zajkani*
Affiliation:
Department of Mechanical Engineering, Engineering Faculty, University of Guilan, Rasht, Iran
Hamidreza Sefidi Shirkoohi*
Affiliation:
Department of Mechanical Engineering, Engineering Faculty, University of Guilan, Rasht, Iran
Abolfazl Darvizeh*
Affiliation:
Department of Mechanical Engineering, Engineering Faculty, University of Guilan, Rasht, Iran
Mansour Darvizeh*
Affiliation:
Department of Mechanical Engineering, Engineering Faculty, University of Guilan, Rasht, Iran
Hashem Ghareh Babaei*
Affiliation:
Department of Mechanical Engineering, Engineering Faculty, University of Guilan, Rasht, Iran
*
* Graduate student
* Graduate student
*** Professor, corresponding author
** Professor
* Graduate student
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Abstract

In this paper, an analysis of the large-amplitude dynamic-plastic behavior of the circular plates with a rigid perfectly plastic material is presented. The plate is subjected to a short-time high-intensity impulsive load uniformly distributed over the surface. Modeling is complemented by using specific convex yield criteria. Corresponding to boundary conditions of the plate, it can be deformed through more than one mechanism, so, the mathematical formulation is based on the principle of calculus of variations in which the transverse displacement fields are assumed as a combination of appropriate paths. Based on the upper bound approach, the different terms of kinetic and consumed plastic energies likewise the applied impulse energy derived to produce an energy functional with unknown coefficients which is minimized through the displacement path. Finally, calculating the constants maximum residual deflection and strain distribution are obtained. Results of present model show satisfactory correlation with the empirical data for the different levels of the pulsed loads.

Keywords

Dynamic plasticExplosive formingCircular plateCalculus of variations
Type
Research Article
Information
Journal of Mechanics , Volume 26 , Issue 4 , December 2010 , pp. 533 - 546
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2010

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References

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