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The purpose of this study is to propose a modified micromorphic continuummodel for granular materials based on a micromechanics approach. In this model,Cauchy stress and the couple stress are symmetric conjugated with the symmetricstrain and the symmetric curvature respectively, and the relative stressmeasures are asymmetric conjugated with the asymmetric relative strainmeasures. This modified micromorphic model considers a continuum material pointas a granular volume element whose deformation behavior is influenced by thetranslation and the rotation of particles. And this study proposes that themicroscopic actual motion is decomposed into a macroscopic motion and afluctuation between the macro-micro motion. Based on this decomposition, themicromorphic constitutive relationships are derived for granular materials. Inthe constitutive relationships, the macroscopic constitutive relationships arefirst-order because of the introduce of the independent rotation of particleinstead of the second-order micro-deformation gradient. Furthermore, thecomplex constitutive moduli in the micromorphic model are obtained in theexpressions of the microstructural information such as the contact stiffnessand the internal length.

A modified micromorphic model based on micromechanics for granular materials