The impetus of nanotechnology has shed light on the direction of new research for many fields and continuum mechanics is no exception. The current trend is to reach down the scale such that all disciplines would meet and benefit from one another. However, there are overwhelming difficulties associated with the discontinuities of results from the various scales. The prevailing gaps in materials and continuum theories are being referred to “Mesomechanics” . Mesoelectronics has in fact discovered that the heat transfer behavior of small bodies is dinstinctly different and requires fundamental studies of electronics at the subatomic scale. New physical laws may have to be discovered to fill in the gaps. The final answer lies in multiscaling [2,3] where the results at the smaller scales must be translated to the macroscopic level.