REVIEWED BY PRADEEP SHARMA, Department of Mechanical Engineering, Department of Physics, University of Houston, Houston, TX 77204.
We would be hard-pressed to find an area of research that permeates so deeply in nearly all the branches of physical sciences and mathematics as does the topic of homogenization.1 The notion of studying an effective or apparent or overall behavior of a complex system that behaves differently microscopically occurs recurrently in all the branches of science and engineering. On the one hand, we can find a paper by Einstein, who derived the effective viscosity of a fluid dispersed with a dilute suspension of spherical particles, and on the other hand, the celebrated work by Clausius that discusses the apparent electrical permittivity of a dielectric composite. Those who understand the field know that these and many such relations from different fields can be derived in a unified manner. From understanding...
