Dynamics of a rigid plate impacting a glass plate: A one dimensional analysis considering failure-wave propagation

Dynamics of a rigid plate impacting a glass plate is presented considering failure-wave and shock-wave propagations in the target material in addition to an elastic precursor. A generalized one dimensional theoretical failure-shock-elastic (FSE) model is developed and later simplified to study different impact scenarios on glass. While the nonlinear equations of the FSE model is solved numerically, an analytical solution is obtained for the failure-elastic submodel. In solving the failure-shock model for glass, a condition describing the jump in particle velocities at the failure front is proposed based on experimental observations. Time histories of the displacement, velocity, and resistance force of the rigid impact plate are presented.