Organizers: C. Koutsoumaris, NTUA, School of Applied Mathematical and Physical Sciences, Division of Mechanics, Zografou, Greece
Email: kkouts@mail.ntua.gr
In recent decades, the systematic development and refinement of generalized continuum theories have provided a robust framework for modeling a broad pectrum of mechanical phenomena associated with material microstructure—phenomena that lie beyond the scope of classical continuum mechanics. Such heories have been instrumental in addressing pathologies like stress singularities at crack tips, anomalous wave dispersion, and size-dependent effects bserved at the microscale. Among the most prominent frameworks are nonlocal elasticity, strain-gradient elasticity, micropolar and Cosserat elasticity, couple tress theory, and peridynamics. These formulations introduce higher-order kinematics, nonlocal interactions, and additional material length scales into the constitutive structure, substantially enriching the predictive capability of continuum models. However, the resulting field equations are often of higher order or ntegro-differential in nature, posing significant analytical and computational challenges. This session focuses on advanced computational schemes and nalytical methodologies tailored to the rigorous treatment of boundary value problems within the setting of generalized continua.