Shaped Charge Induced Concrete Damage Predictions Using RHT Constitutive Modeling

Shaped charges are being utilized in defense applications against a wider variety of targets including concrete, rock, and soil. This work was motivated by a heightened interest in characterizing the effect of shaped charge attack on brittle, non-homogenous materials, in particular, concrete damage and penetration predictions resulting from a TOW-2a conical shaped charge (CSC). This paper presents a multi-stage approach for accurately predicting the high explosive detonation and subsequent jet formation due to the collapse of shaped charge liner, the changes in jet length and diameter as a function of standoff distance, and the jet-target impact dynamics. The first part of the analysis approach employs the commercial 3-D Eulerian-Lagrangian hydro-code AUTODYN to predict the shaped charge jet formation. 2-D finite difference Eulerian subgrids represent the explosive and casings components, while thin components like the liner are modeled with Shell subgrids. The Pugh, Eichelberger & Rostoker (PER) jetting theory option is invoked to obtain the jet and slug masses and associated velocities. The jetting data is post processed where the jet velocity gradient and jet mass is used to solve for the new jet length and diameter gradient at a desired standoff. The final computation involves a 2-D fully Lagrangian model in which the jet and velocity gradient is represented by a string of Lagrangian segments and the concrete target is defined as Lagrangian with the newly developed RHT (Riedel, Hiermaier, Thoma) constitutive model. This model has a third invariant dependency that accounts for failure mechanisms in brittle materials.