Abstract

Recently we reported the development of a three dimensional continuum mechanics based ceramic constitutive model. The model decomposes the total strain into elastic, plastic, and cracking components. The inelastic strain under impact loading conditions is assumed to be due to both plastic flow (dislocations) and microcracking. The elastic strain is determined from Hooke's law, the plastic strain from viscoplasticity based theories, and the cracking strain from the growth of a penny shaped crack in a infinite body. The proposed theory includes a fracture mechanics based damage growth law. The new ceramic model was coded into the shock wave propagation based finite element program, EPIC-2. The impact behavior of AD-85 ceramic was modeled using the newly developed model. We employed data from split Hopkinson bar and plate impact tests in the determination of model constants. A symmetric impact of a striker rod on a long target rod was simulated using the model constants.

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