A FIRST-GRADIENT STRESS-STRAIN MODEL FOR GRANULAR MATERIALS USING A MICROSTRUCTURAL MECHANICS APPROACH

Abstract eng:
High-gradient model has recently received a great deal of attention in the analysis of strength with size dependency. The paper shows that similar size effect also exists in the elastic bending modulus of granular material based on the results of DEM simulation. Since the classic stress-strain law cannot model the behavior of size effect, we derive a continuum higher-order stress-strain law that account for the couple stress and can model the behavior of size effect. The derivation of the higher-order stress-strain model is based on a microstructural approach. Thus it includes an internal length scale, and the material constants can be explicitly expressed by the inter-particle stiffness and particle size. Using the derived higher-order stress-strain law, we then show that the DEM experiments can be modeled by the continuum analysis.

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