This book presents research advancesin the field of Continuous Media with Microstructure and considers the threecomplementary pillars of mechanical sciences: theory, research andcomputational simulation.  It focuses on the followingproblems: thermodynamic and mathematical modeling of materials withextensions of classical constitutive laws, single and multicomponent mediaincluding modern multifunctional materials, wave propagation, multiscale andmultiphysics processes, phase transformations, and porous, granular andcomposite materials. The book presents the proceedings ofthe 2nd Conference on Continuous Media with Microstructure, which was held in2015 in Łagów, Poland, in memory of Prof. Krzysztof Wilmański.