FraMCoS 12 2025 Vienna, Austria

Exploring induced heterogeneity in elastic discrete mechanical models

Mesoscale discrete lattice models offer a direct way to incorporate the heterogeneous mi- crostructure of concrete and other geomaterials efficiently, using vector-based constitutive laws with homogeneous material parameters. These models exhibit stress oscillations, which, if deemed non- physical, can be…

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Year 2025
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Abstract

Mesoscale discrete lattice models offer a direct way to incorporate the heterogeneous mi- crostructure of concrete and other geomaterials efficiently, using vector-based constitutive laws with homogeneous material parameters. These models exhibit stress oscillations, which, if deemed non- physical, can be suppressed using methods such as auxiliary stress projection or deviatoric-volumetric decomposition to produce homogeneous elastic stress fields. This study examines the elastic behav- ior of the homogenized models with controlled heterogeneity introduced via spatial randomization of material parameters, with an emphasis on the replication of the oscillations in the non-homogenized discrete model. Simulations with varying degrees of spatial correlation under different macroscopic loading conditions reveal that the original stress oscillations are best replicated with spatially inde- pendent randomization. However, none of the techniques fully reproduce the original oscillations.