Nowadays, problems involving more physics and more length and time scales have become very relevant in engineering applications. Theoretical frameworks limited to conventional continua are often inadequate to model such problems. Hence, generalised continua theories (e.g., including nonlocal, strain gradient, and micromorphic formulations) have been developed to efficiently incorporate the effect of fine-scale processes into the overall material response by adopting additional (higher-order) fields.
The goal of this mini-symposium is to bring together contributions concerned with the multi-scale basis of generalised continua theories. Topics include, but are not restricted to:
1) multi-scale methods, such as theoretical and computational homogenisation for heterogeneous materials, employing generalised continua models;
2) theoretical and numerical approaches for generalized continua, with focus on the characterisation and on the role of the unconventional material parameters, possibly through scale-bridging techniques;
3) strain gradient extensions of both crystal and phenomenological plasticity theories, with focus on the underlying dislocation mechanics;
4) engineering applications involving complex material behaviours, such as, size dependent response, damage and fracture, wave propagation in composites materials and structures.