Architectured metamaterials have attracted increasing interest because of their significant applications in many scientific fields. These materials are endowed with peculiar internal structures to determine unconventional and enhanced mechanical, acoustic, electromagnetic, and thermal properties that cannot be observed in nature. The rational design of such architectured systems represents a rapidly evolving research frontier, with the potential to enable breakthrough technologies and transformative engineering solutions. This Mini-Symposium will focus on theoretical, numerical, and experimental approaches to model and analyse architectured metamaterials. A special attention will be given to homogenization schemes, multiscale and multi-physics techniques, multi-field coupling phenomena, and computational techniques to predict the overall behavior of these materials. Participants will have the opportunity to discuss the impact of these materials on fields ranging from mechanical, civil, naval, aerospace, and biomedical engineering to robotics. The topics of the Mini-Symposium include, but not limited to: 1) manufacturing techniques for architectured metamaterials, such as 3D and 4D printing; 2) computational methods and simulation techniques to investigate architectured metamaterials; 3) wave propagation in metamaterials; 4) case studies and applications demonstrating the effectiveness of the integration of architectured metamaterials into engineering solutions; 5) local and nonlocal constitutive modelling approaches; 6) parametric and topological optimization methods for material design; 7) multi-field problems that involve coupled physical phenomena; 8) homogenization techniques exploited to characterize the macroscopic behavior of these complex materials under both static and dynamic conditions.