Throughout the decades of research and development on new carbon-fiber reinforced polymer (CFRP) material systems, the primary focus has been placed on improving the tensile stiffness and strength of individual fiber filaments or the overall toughness of the polymeric matrix. Advancements in tensile properties have led to the development of ultra-high-modulus and high-strength carbon fibers and highly toughened epoxy resins. One outcome of these improvements has been the change in structural-design practices, where a majority of CFRP concepts are now being sized based on the fiber-direction compressive properties. To date, there have been some attempts to improve compressive properties of CFRPs; however, most approaches resulted in incremental improvements that have not kept up with increases in tensile properties.