Compression and shear wave experiments using plate impact loading were conducted on polycrystalline silicon carbide ͑SiC͒. The material was subjected to combined compression-shear loading to peak compressive stresses ranging from 3 to 18 GPa. The compression ͑shock͒ wave profiles and the propagation velocities of shear and longitudinal release waves in the shocked SiC were measured using in situ, electromagnetic velocity gauges. The Hugoniot elastic limit ͑HEL͒ of the material was found to be 11.5Ϯ0.4 GPa. The measured wave velocities were used to determine the elastic moduli of the material as functions of density compression in the shocked state. The data were further analyzed to obtain the mean stress response of the SiC under uniaxial-strain compression. The longitudinal and mean stress results completely characterize the material stress state. Numerical simulations were also carried out to verify the peak-state data analysis. Our results show that the Poisson's ratio of the material increases with elastic shock compression from an ambient value of 0.161 to 0.192 at the HEL. Above the elastic limit, the maximum shear stress supported by the material increases from 4.5 to 6.4 GPa at a peak stress of 18 GPa. This finding verifies independently the results from lateral manganin gauge measurements in the same material ͓R. Feng et al., J. Appl. Phys. 83, 79 ͑1998͔͒.