On the definition of effective stress and strain for large deformation homogenization problems and their relations to molecular dynamics

Francesco Costanzo
Penn State

Abstract:

The continuum notions of effective deformation gradient and effective stress are discussed for homogenization problems with large deformations. The "local" problem to be homogenized includes inertia effects so as to allow a link between continuum homogenization and the estimation of average properties for particle ensembles via molecular dynamics. The focus of the presentation will be on the role played by the boundary conditions in defining meaningful measures of average stress and deformation.