The focus of the present study is dynamic compressive response of materials under impact loading conditions and the damage accumulation in a material affected by lateral confining. First, the one-dimensional inelastic wave propagation is considered in bars composed of a series of connected rods made of dissimilar materials. The initial boundary value problem is formulated and the governing system of nonlinear equations is derived for an arbitrary nonlinear elastic and plastic materials. Effects of nonlinearity in material equation of state have been investigated. A numerical study was performed on the modified split Hopkinson pressure bar (SHPB) subjected to a sequence of two loading impulses. Second, short confined specimen subjected to a dynamic double pulse loading until failure was analyzed as a two-dimensional axisymmetric problem. A modified SHPB experimental setup was utilized in the analysis. Behavior of the specimen was investigated on two extreme cases: rigidly confined and unconfined one. Specimen assembly was subjected to an impact load by imposing displacements on the bases of a cylindrical specimen. Results obtained for the axisymmetric problem are proven to be stable and consistent with the results obtained for a range of finite element meshes. Damage concentration patterns and tensile stress areas in the ceramic material are compared to the published results. Results of numerical simulation are found to be in a good agreement with experimental data. Difficulties of the simulation, related to numerical convergence, composition of the model for this type of simulations, and assessment of results, are discussed in the paper.
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