S15: Advanced modelling techniques: higher-order continua
Lorenzo Bardella (U. Brescia, Italy) firstname.lastname@example.org
Samuel Forest (Mines ParisTech, France) email@example.com
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. This has motivated the introduction of higher-order continua (within the framework of, e.g., strain gradient, micromorphic, and stress gradient theories) to efficiently incorporate the effect of fine-scale processes into the overall material response. Such continuum models typically rely on assuming that the internal energy depends on additional (higher-order) fields with respect to conventional continua.
The goal of this mini-symposium is to bring together contributions concerned with the most recent advances in higher-order continuum theories. Topics include, but are not limited to:
Theoretical and numerical approaches for higher-order continua, with focus on the characterisation and on the role of the unconventional material parameters, possibly through scale-bridging techniques;
Strain and stress gradient extensions of both crystal and phenomenological plasticity theories to model the small-scale behaviour of metals, with focus on the underlying dislocation mechanics;
Multi-scale methods, such as theoretical and computational homogenisation for heterogeneous materials, employing higher-order continua;
Engineering applications involving complex material behaviours, such as, size dependent response, damage and fracture, localisation of deformation, wave propagation in composites materials and structures.