• Bilen Emek, Abali Uppsala University
• Ivan Giorgio
• Luca Placidi

By means of additive manufacturing, architected materials are produced rather easily involving several lengthscales. Such multiscale materials with a substructure perform different than conventional structures described in continuum mechanics. Often this phenomenon is called size effect. Homogenization methods indicate strain gradient or Cosserat type of generalized mechanics. These so-called metamaterials are computationally challenging even in the case of mechanics [1]. Adding multiphysics to multiscale materials is an active research area [2]. In damage mechanics, different attempts show that higher order in describing damage field has numerical benefits [3]. In flexoelectricity, size effect has a dominant role in electric field and mechanics coupling. Computational solutions to multiphysics problems in multiscale materials is the main topic of the minisymposium

[1] Placidi, L., Barchiesi, E., Misra, A., & Andreaus, U. (2020). Variational methods in continuum damage and fracture mechanics. Encyclopedia of Continuum Mechanics, 2634-2643.
[2] Abali, B. E., & Giorgio, I. (Eds.). (2020). Developments and Novel Approaches in Biomechanics and Metamaterials. Cham: Springer.
[3] Abali, B. E., Klunker, A., Barchiesi, E., & Placidi, L. (2021). A novel phase‐field approach to brittle damage mechanics of gradient metamaterials combining action formalism and history variable. ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, e202000289.