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Perforation of Nonlocal Visco- Plastic Plates by a Cylindrical Projectile
Authors:Hilmi Demiray  A Cemal Eringen
Institution:Marmara Research Institute, P.K. 141, Kadikoy, Istanbul, Turkey;Department of Civil Engineering, Princeton University, Princeton, N.J. 08540 USA
Abstract:This paper is concerned with the analysis of the problem of dynamic perforation of visco-plastic plates by a cylindrical projectile, leading to a failure of the plate by a plug formation. Assuming the behavior of the plate material is nonlocal visco-plastic, the classical theory of visco-plasticity for Bingham solids is generalized to take the non-local effects into consideration. The target plate being thin, it is assumed that only the contributions of vertical shearing stress need be taken into account. The effect of the impact is represented by a uniform velocity distribution over a circular region of the plate surface. The expressions of velocity, strain rate and shear stress are obtained and some particular cases are discussed. Some numerical results concerning stress distributions are also included.
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