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Empirical Modelling for Prediction of Large Deformation of Clamped Circular Plates in Gas Detonation Forming Process

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Abstract

In this paper, empirical modelling of circular clamped plates subjected to impulsive loading is investigated. Plates are formed by detonation of a mixture of Oxygen and Acetylene in a combustion chamber with different volume ratios. The purpose of empirical modelling is to demonstrate how some parameters such as mechanical properties of plate and gas, impulse of applied load, plate geometry, velocity of sound in different gases and strain-rate sensitivity affect the large deformation of circular plates in high rate energy forming. The empirical modelling is investigated based on both dimensionless analysis and Zhao’s dimensionless number. The midpoint deflection of plates are compared to the experimental values. It is noteworthy that the results of these empirical equations have good agreement with experimental ones. Moreover, it has been shown that the presented models have much less error in contrast to previous proposed methods.

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Abbreviations

I :

Impulsive load

P :

Pressure distribution

ρ P :

Plate density

W 0 :

Midpoint deflection

V 0 :

Velocity of applied load

μ :

Dimensionless parameter

R :

Radius of plate

D n :

Johnson’s damage number

R n :

Zhao’s dimensionless number

φ :

Dimensionless impulsive number

H :

Thickness of plate

L :

Half-length of plates or beams

C :

Velocity of sound

π 0, π 1, π 2, π 3 :

Dimension less number

E :

Young modulus

\( {\overset{.}{\varepsilon}}_m \) :

Mean strain rate

D :

Material constant, defined in Eq.(28)

q :

Material constant, defined in Eq.(28)

σ d :

Dynamic yield stress

σ y :

Quasi-static yield stress

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Authors and Affiliations

  1. Department of Mechanical Engineering, Engineering Faculty, University of Guilan, PO Box 3756-41635, Rasht, Iran

    H. Babaei, T. Mirzababaie Mostofi & M. Alitavoli

  2. Department of Mechanical Engineering, Engineering Faculty, Islamic Azad University of Bandar Anzali, Anzali, Iran

    A. Darvizeh

Authors
  1. H. Babaei
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  2. T. Mirzababaie Mostofi
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  3. M. Alitavoli
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  4. A. Darvizeh
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Correspondence to H. Babaei.

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Babaei, H., Mirzababaie Mostofi, T., Alitavoli, M. et al. Empirical Modelling for Prediction of Large Deformation of Clamped Circular Plates in Gas Detonation Forming Process. Exp Tech 40, 1485–1494 (2016). https://doi.org/10.1007/s40799-016-0063-3

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