In this paper, the discrete element method is used to explore why differing amounts of breakage, quantified using Hardin's relative breakage parameter (B r), are associated with the critical state line (CSL) and the normal compression line (NCL) at similar stress levels. Virtual samples initially containing more than 20,000 spherical particles were isotropically compressed to a range of confining pressures up to 56 MPa and subjected to triaxial compression, both considering and disregarding particle crushing. A particle crushing model was developed for these simulations which is both computationally tractable and gives macroscale results qualitatively in agreement with laboratory tests. The CSLs are both linear in q-p' * Formerly affiliation 2
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