Transient deformation modes of square plates subjected to explosive loadings

Abstract The phenomenon of transient deformation of square plates under intense dynamic loading has not been studied fully, either in experiment or theory. In this paper the experimental method for obtaining transient deformation profiles of square plate under explosive loading is demonstrated and evaluated. An optical technique proved to be reliable and accurate in obtaining the transient deformation mode of the square plate. Elastoplastic numerical analysis which includes finite deflection, material elasticity and strain hardening was carried out for one of the tests on an aluminium alloy plate to reproduce the transient response of the plate under measured pressure. The transient deformation profiles have also been obtained successfully by the numerical method and show good agreement with the experimental results. Numerical results are also presented for the impulsively loaded rectangular plates tested by Jones et al [Jones, N., Vran, T. and Tekin, S. A. (1970). Int. J. Solids Structures 6 , 1499–1512]. The combined experimental and numerical investigations provide valuable information for the understanding of transient behaviour of thin plates under explosive loading and for the development of an approximate procedure using the Rigid Plastic Method.

[1]  J. B. Martin,et al.  MODE APPROXIMATIONS FOR IMPULSIVELY LOADED RIGID PLASTIC STRUCTURES , 1965 .

[2]  G. N. Nurick,et al.  Predictions of transverse deflections and in-plane strains in impulsively loaded thin plates , 1987 .

[3]  Luiz Bevilacqua,et al.  Inelastic Behaviour of Plates and Shells , 1986 .

[4]  Norman Jones,et al.  A theoretical study of the dynamic plastic behavior of beams and plates with finite-deflections , 1971 .

[5]  Leslie Morland,et al.  Dynamic plastic deformations of simply-supported square plates , 1959 .

[6]  S. L. Rice,et al.  Impact strength of materials , 1972 .

[7]  C. M. Ni,et al.  A minimum principle in dynamics of elastic-plastic continua at finite deformation , 1974 .

[8]  G. Nurick.  A new technique to measure the deflection-time history of a structure subjected to high strain rates , 1985 .

[9]  G. N. Nurick,et al.  The Deformation of Thin Plates Subjected to Impulsive Loading , 1986 .

[10]  M. D. Olson,et al.  Deformation and rupture of blast loaded square plates—predictions and experiments , 1993 .

[11]  J. B. Martin,et al.  Deformation of thin plates subjected to impulsive loading—A review , 1989 .

[12]  Norman Jones,et al.  THE DYNAMIC PLASTIC BEHAVIOR OF FULLY CLAMPED RECTANGULAR PLATES , 1969 .

[13]  Norman Jones,et al.  An experimental study into the dynamic plastic behaviour of wide beams and rectangular plates , 1971 .

[14]  G. Hudson.  A Theory of the Dynamic Plastic Deformation of a Thin Diaphragm , 1951 .

[15]  W. E. Baker,et al.  Literature Review : Approximate Techniques for Plastic Deformation of Structures Under Impulsive Loading, II , 1975 .

[16]  D. Faulkner,et al.  Dynamic inelastic behaviour of plates in minor ship collisions , 1994 .

[17]  Tongxi Yu,et al.  The large deflection dynamic plastic response of rectangular plates , 1992 .