Laminate metal composites are often made through cold roll bonding two or more independent sheets to establish a strong, metallic bond between the metal layers without the incorporation of any liquid phase during subsequent annealing. During the bonding process, it is important to understand the nature of the bond formation within the roll bite, which additionally requires an in-depth understanding of the distribution of stresses and strains within the materials and their resulting deformation behavior. Until this understanding is developed, the design of roll bonding processes will continue to be trial and error and will remain problematic. In this paper, three recent roll bonding models are evaluated and recommendations are made for improving the validity and accuracy of the models, particularly the necessity for the incorporation of bonding criteria along with the mechanics of roll bonding.