Model reduction for dissipative composites based on mean-field homogenization

M. I. IDIART; N. LAHELLEC; H. MOULINEC; P. SUQUET

Milan

Congreso; 25th International Congress of Theoretical and Applied Mechanics; 2021

This work provides an alternative derivation of the homogenization scheme for viscoelastic composites proposed by Lahellec and Suquet, see [1]. This derivation clearly shows that the scheme can be interpreted as a model reduction in the sense that the final estimate preserve the two-potential structure providing a macroscopic free energy and dissipation potential involving a finite number ofinternal variables (the per phase average and the fluctuations of the internal variable local field).