Deformation of thin plates subjected to impulsive loading—A review

This two-part article reviews the theoretical predictions and experimental work on the deformation of thin plates subjected to impulsive loading. Part I deals with the theoretical predictions and focuses on the comparisons of the theoretical studies. Experimental-theoretical correlations are also discussed. Part II [Int. J. Impact Engng8, 171–186 (1989)] discusses the experimental results, and presents an empirical relationship between the deflection-thickness ratio and a function of impulse, plate geometry, plate dimensions and material properties.

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

[2]  William Prager,et al.  On the dynamics of plastic circular plates , 1954 .

[3]  A. L. Florence Circular plate under a uniformly distributed impulse , 1966 .

[4]  H. G. Hopkins,et al.  On the plastic deformation of built-in circular plates under impulsive load , 1954 .

[5]  P. Symonds,et al.  Membrane Mode Solutions for Impulsively Loaded Circular Plates , 1979 .

[6]  P. S. Symonds,et al.  SURVEY OF METHODS OF ANALYSIS FOR PLASTIC DEFORMATION OF STRUCTURES UNDER DYNAMIC LOADING , 1967 .

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

[8]  William Prager,et al.  The load carrying capacities of circular plates , 1953 .

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

[10]  R M Haythornthwaite,et al.  The Load Carrying Capacity of Circular Plates at Large Deflection , 1954 .

[11]  P.L.B. Oxley,et al.  Note: estimating the charge size in explosive forming of sheet metal , 1964 .

[12]  P. S. Symonds,et al.  Finite viscoplastic deflections of an impulsively loaded plate by the mode approximation technique , 1979 .

[13]  G. A. Shifrin,et al.  An experiment on circular plates in the plastic range , 1954 .

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

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

[16]  Norman Jones Recent Progress in the Dynamic Plastic Behavior of Structures. , 1978 .

[17]  A. L. Florence,et al.  Clamped circular rigid-plastic plates under central blast loading , 1966 .

[18]  P. S. Symonds,et al.  Approximation Techniques for Impulsive Loading of Structures of Time Dependent Plastic Behavior with Finite Deflections. , 1974 .

[19]  E. A. Witmer,et al.  LARGE DYNAMIC DEFORMATIONS OF BEAMS, RINGS, PLATES, AND SHELLS , 1963 .

[20]  R. Sankaranarayanan On the Impact Pressure Loading of a Plastic Spherical Cap , 1966 .

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

[22]  E. T. Onat,et al.  The Load Carrying Capacity of Initially Flat Circular Steel Plates under Reversed Loading. , 1954 .

[23]  A. L. Florence,et al.  A theoretical and experimental investigation of impulsively loaded clamped circular viscoplastic plates , 1970 .

[24]  F. W. Travis Comment on: Kinetics of the axisymmetric rigid-plastic membrane subject to initial impact: H. Lippmann, Int. J. mech. Sci. 16, 297 (1974) , 1974 .

[25]  Nicholas Perrone,et al.  A Simplified Method to Account for Plastic Rate Sensitivity With Large Deformations , 1979 .

[26]  Norman Jones,et al.  Impulsive Loading of a Simply Supported Circular Rigid Plastic Plate , 1968 .

[27]  P. S. Symonds,et al.  Closure of "Large Dynamic Plastic Deflection of Plates by Mode Method" , 1977 .

[28]  S. K. Ghosh,et al.  Experimental-theoretical correlations of impulsively loaded asymmetric rigid-plastic membrane , 1976 .

[29]  H. Lippmann Kinetics of the axisymmetric rigid-plastic membrane subject to initial impact , 1974 .

[30]  s. Kaliszky Large Deformations of Rigid-Viscoplastic Structures under Impulsive and Pressure Loading , 1972 .

[31]  T. A. Duffey,et al.  Experimental-theoretical correlations of impulsively loaded clamped circular plates , 1969 .

[32]  Dudley Maurice Newitt,et al.  The deformation of transversely loaded disk under dynamic loads , 1963, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[33]  R. N. Dubey,et al.  Impulsively loaded circular plates , 1971 .

[34]  Nicholas Perrone,et al.  Simplified Large Deflection Mode Solutions for Impulsively Loaded, Viscoplastic, Circular Membranes , 1984 .

[35]  S. Bodner,et al.  Experiments on viscoplastic response of circular plates to impulsive loading , 1979 .

[36]  N. Jones,et al.  Literature Review : A Literature Review of the Dynamic Plastic Response of Structures , 1975 .

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

[38]  A. L. Florence Annular plate under a transverse line impulse , 1965 .

[39]  N. Jones Literature Review : Recent Progress in the Dynamic Plastic Behavior of Structures: Part II , 1978 .

[40]  G. S. Shapiro On a rigid-plastic annular plate under impulsive load , 1959 .

[41]  J. E. Griffith,et al.  LARGE DEFORMATION OF CIRCULAR MEMBRANES UNDER STATIC AND DYNAMIC LOADING , 1963 .