This paper presents a sharp discontinuity multiscale approach to address key challenges in tracking the behavior modeling granular media: accommodation discontinuities in the kinematic fields, and the direct link to the underlying grain scale information. Concepts assumed enhanced strain (AES) are taken to improve elements of the post-localization analysis, but reformulated in a hierarchical multiscale computational framework recently proposed. Unlike traditional methods of AES, in material properties are usually constant or assumed to evolve with some arbitrary phenomenological laws, the framework provides a bridge to extract key parameters evolutions of material, such as friction and dilatancy based data of computational or experimental scale grain. More importantly, the softening module phenomenological methods typically used in AES is no longer necessary. Numerical examples of plane strain compression tests are presented to illustrate the applicability of this method and analyze numerical performance.Cuencavol. 200; cuestiones 33-36