An adaptive curved virtual element method for the statistical homogenization of random fibre-reinforced composites
Wednesday 22nd January 2020
Artioli, E.; Beiraoda Veiga, L.; Verani, M.
In the framework of statistical asymptotic homogenization of random fibre-reinforced composites, we propose a curved virtual element procedure that allows an exact geometric representation. We develop an approach that is able to represent exactly the involved geometry and exploits an adaptive tuning of the optimal mesh resolution through a robust and efficient residual-based a-posteriori error estimator. Furthermore, by combining such scheme and Monte Carlo simulations, a methodology is developed to determine homogenized material moduli and representative unit cell size. A gallery of numerical tests supports the proposed approach.