Finite Plastic Deformations of Orthotropic Circular Plates Under Gaussian Impulse
The permanent deflection of an orthotropic circular plate subjected to impulse loading is presented. The impulse is assumed to impart a transverse axisymmetric velocity having spatially a general Gaussian distribution. The simultaneous influence of the membrane forces and bending moments is considered in predicting the deformations. It is concluded that the simple bending theory overestimates the final plastic deformation and the time of deformation of the plate. The order of over estimation is not very much dependent upon the spatial distribution of the impulse.
P. S. SYMONDS, T. J. MENTAL, Impulsive loading of plastic beams with axial constraints, J. Mech. and Physics of Solids, 6, 186, 1958,
A. L. FLORENCE, Annular plate under a transverse line impulse, AIAA J. 3, 1726, 1965.
A. J. WANG, The permanent deflection of a plate under blast loading, J. Appl. Mech. 22, 375, 1955.
T. WIERZBICKI, Bounds on large dynamic deformations of structures, J. Engn. Mech. Div., Proc. ASCE, 267, 1970.
J. B. MARTIN, Impulsive loading theorems for rigid-plastic continua, Proc. Amer. Soc. Civ. Engn., 90, 27, 1964.
N. JONES, Impulsive loading of a simply supported circular rigid plastic plate, J. Appl. Mech. 35, 59, 1968.
N. JONES, Finite deflections of a simply supported rigid-plastic annular plate loaded dynamically, Int. J. Solids, Struc., 4, 593, 1968.
N. JONES, Finite deflections of a rigid-viscoplastic strain hardening annular plate loaded impulsively, J. Appl. Mech. 35, 349, 1968.
N. JONES, The influence of large deflections on the behaviour of rigid-plastic cylindrical shells loaded impulsively, J. Appl. Mech., 37, 416, 1970.
N. JONES, A theoretical study of the dynamic plastic behaviour of beams and plates with finite deflections. Int. J. Solids. Struc. 7, 1007, 1971.
N. JONES, A literature review of the dynamic plastic response of structures. The shock and vibration digest, 7, 89, 1975.
S. ANANTHA RAMU, K. J. IYENGAR, Plastic response of orthotropic circular plates under blast loading, Int. J. Solids. Struc. 12, 125, 1976.
P.G. HODGE, Yield condtions for rotationally symmetric shells under axisymmetric loading, J. Appl. Mech., 27, 323, 1960.
L. W. HU, Modified Tresca yield condition and associated flow rules for anisotropic materials.
and application, J. Franklin Inst., 265, 187, 1958.
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