The objective of HEAT program is to create and patent a novel Reinforced Composite (RC) material, with an originally designed microstructure for optimal thermal conductivity. The general case of a heat dissipation problem in a pipe will be formulated on multiple scales and will be resolved by simultaneous analysis of the macroscopic and microscopic problem, in the framework of a nested Finite Element solution scheme (FE2). The validated RC models will be used for stochastic optimization of the RC microstructure in order to obtain maximum thermal conductivity. Moreover, innovative microstructures consisting of three-dimensional structures of nano-inclusions will be investigated, regardless of the contemporary manufacturing capabilities using existing techniques. The project has an interdisciplinary nature spanning over a wide range of scientific fields, including molecular engineering, continuous mechanics, stochastic mechanics, optimization and numerical analysis, artificial intelligence, nanotechnology and experimental materials science as well as computer science technology.