Abstract: This Mini-Symposium aims to provide a forum for the dissemination and discussion of the latest advances in the physical-mechanical modeling of composite materials and metamaterials. The topics of the Mini-Symposium include, but are not limited to modelling and experimental testing of composite, periodic materials and metamaterials, identification of equivalent homogeneous solids via advanced homogenization techniques, local and nonlocal constitutive modelling, mechanics of damage, plasticity, strain localization phenomena and material instabilities, multi-field problems, sonic wave propagation control, energy transfers, parametric and topological optimization, mechanical and acoustical vibration control, engineering applications, analytical and numerical modeling of nanocomposites. A special invitation is given for research using artificial intelligence.