Therefore, the proposed work is geared towards developing mathematically consistent and robust numerical algorithms that accurately capture adiabatic shear band and spall fracture in 2-D and 3-D structures using meshfree particle method. In order to be able to take account of these effects in a hydrocode simulation an SPH solver has been incorporated into LLNL-DYNA3D. A meshfree method alleviates these problems largely. In order to model these effects, a traditional finite element method requires insertion of discontinuous elements, very refined mesh, continuous mesh updating, and a priori knowledge of the spatial location of shear band to simulate these phenomena. Simulations of these two phenomena are challenging due to the existence of large deflection and sharp discontinuity caused by shock waves and shear bands. One is adiabatic shear and the other is spall fracture. There are two main failure phenomena related to the material response due to a high-speed ballistic impact. In order to improve the reliability and safety of military structures and materials, it is important to study material failure under ballistic impact in the design stage. In battlefield environments, ballistic impact may result in the failure of military structures and materials.
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