Influence of the third invariant in the ballistic impact of silicon carbide

This article examines whether the yield surface of silicon carbide depends on the third invariant of the stress tensor, and how such dependence would affect its performance as an armor material. The JHB ceramic model is augmented by a factor introduced for geomaterials that depends on the third invariant of stress and the tri-axial yield ratio (a material parameter defined as yield in tri-axial extension to yield in tri-axial compression.) The factor scales yield on the compressive meridian for other states of stress. Tests of high-velocity impacts of silicon carbide are selected from the literature, and computations are performed with the augmented model using several values of the tri-axial yield ratio. The sensitivity of the computations to the variation of the tri-axial yield ratio is determined for each test. Compressive plate impacts and ballistic impacts of thin targets show the most sensitivity, and comparison of the computed compressive plate impacts to test results suggests a significant dependence on the third invariant.