Abstract
An analytic model has been developed for the penetration of materials for which the constitutive response can be characterized by a Drucker-Prager yield surface with a maximum flow stress cutoff. This constitutive model represents extensively fractured glasses and ceramics, where large pressures lead to large resistance to shear deformation. The analytic penetration model using this yield surface is based on the ideas of Walker and Anderson (1) where the momentum balance is explicitly solved along the centerline. Target response occurs in a hemispherical region containing an interior boundary (one of the unknowns) demarcating the two domains of the yield surface. Model results are compared to hydrocode calculations and experimental penetration data for glass.
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