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Response of composite plates to blast loading

Response of unidirectionally reinforced composite plates to blast loading has been measured and compared with theoretical results

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Abstract

The transient response of composite plates, with and without central circular holes, to blast loading is studied. The modal-analysis approach has been used in the computation of numerical results, which have been obtained for isotropic and orthotropic plates, with and without holes. In order to verify the theoretical results, experiments have been conducted on aluminum and unidirectionally reinforced E-glassepoxy plates, using a shock tube as the loading device. The experimental peak dynamic strains (normalized with respect to the pressure) are compared with the theoretical values. The strain-time history is also shown for a particular gage location in the composite plate. Finally, a comparison of dynamic-amplification factors, defined as the ratio of the peak dynamic strains to the static strains, has been made between the isotropic and the composite plates.

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Abbreviations

a :

dimension of the plate in the x-direction

A :

effective area of the plate=ab−N H A H

A H :

area of the hole

\(\{ \bar A\} \) :

eigen vector

b :

dimension of the plate in the y-direction

C ijmn :

stiffness coefficients

D ij :

elements of the plate bending-stiffness matrix

E 11 :

Young's modulus in the major material symmetry-axis direction

E 22 :

Young's modulus in the minor material symmetry-axis direction

F(x, y, t) :

external dynamic load

G 12 :

principal shear modulus

h :

thickness of the plate

\(\bar K_{p^1 } \) :

modified stiffness-matrix coefficients

m :

mode number in the x-direction

M ijmn :

mass coefficients

n :

mode number in the y-direction

N H :

number of holes

N r (t):

modal generalized force

P Fij :

generalized force

q mn :

generalized displacement coordinate in the mn mode

R :

a/b; also number of mokes taken in the x-direction

S :

number of terms taken in the y-direction

t :

time variable

t 1,t 2 :

time parameters defining the blast load

w :

transverse deflection of the plate

\(\alpha _{mn}^{ij} \),\(\beta _{mn}^{ij} \) :

stiffness and mass coefficients due to a hole

\(\phi _{mn} \) :

admissible functions

v 12 :

major Poisson's ratio

ϱ:

mass density

ω:

natural frequency

η r ( t ):

modal generalized coordinate

ε:

strain

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Authors and Affiliations

  1. Bharat Heavy Electricals, Hyderabaa, India

    A. Rajamani (Senior Development Engineer)

  2. Department of Mechanical Engineering and Mechanics, Old Dominion University, 23508, Norfolk, VA

    R. Prabhakaran (Associate Professor)

Authors
  1. A. Rajamani
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  2. R. Prabhakaran
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Rajamani, A., Prabhakaran, R. Response of composite plates to blast loading. Experimental Mechanics 20, 245–250 (1980). https://doi.org/10.1007/BF02327708

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  • DOI: https://doi.org/10.1007/BF02327708

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