Determination of the impact response of PMMA using combined compression and shear loading

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Abstract
Large amplitude one‐dimensional compression and shear wave measurements have been made in polymethyl methacrylate (PMMA). Measurements of shear and longitudinal wave velocities were used to determine the shear modulus, bulk modulus, and the mean stress‐volume relations under impact loading. The mean stress‐volume relation determined from impact data is considerably stiffer than the static hydrostat often used to interpret shock data and leads to a lower strength in shock wave data. Unlike the quasi‐static‐uniaxial strain results, the shock data show strength reduction at higher stresses. Measurement of shear wave amplitudes, at different compressive stresses, independently support the strength loss determined from wave velocity analysis. Measurement of shear particle velocity at the impact surface shows that the dynamic friction behavior of PMMA depends on the inelastic material response near the surface.