Interpenetrating phase composites (IPCs) are characterized by the presence of either of both phases in a bi-phase composite system forming a connected network throughout the sample. Such materials are of engineering interest as multi-functional materials can be designed for a specific application. In this study, we obtain scale-dependent bounds on the effective thermal conductivity of Gaussian correlated two-phase composites.
 “Scaling and bounds in thermal conductivity of planar Gaussian correlated microstructures”, S. Kale, A. Saharan, S. Koric and M. Ostoja-Starzewski, Journal of Applied Physics, 117(10), 104301, 2015.
 “Scaling to RVE in random media”, M. Ostoja-Starzewski, S. Kale, P. Karimi, A. Malyarenko, B. Raghavan, S.I. Ranganathan , J. Zhang, Advances in Applied Mechanics 49, in press, 2016.