Multiscale plasticity of geomaterials predicted via constrained optimization‐based granular micromechanics

Bryant, E. C.; Bennett, K. C.; Miller, N. A.; Misra, A.

doi:10.1002/nag.3320

Title: Multiscale plasticity of geomaterials predicted via constrained optimization‐based granular micromechanics

Journal Article · 12 January 2022 · International Journal for Numerical and Analytical Methods in Geomechanics

DOI: https://doi.org/10.1002/nag.3320 · OSTI ID:1997052

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Weapon Systems Engineering Division W‐13 Los Alamos National Laboratory Los Alamos New Mexico USA, Earth and Environmental Sciences Division ESS‐17 Los Alamos National Laboratory Los Alamos New Mexico USA
Earth and Environmental Sciences Division ESS‐17 Los Alamos National Laboratory Los Alamos New Mexico USA
Weapon Systems Engineering Division W‐13 Los Alamos National Laboratory Los Alamos New Mexico USA
Civil, Environmental and Architectural Engineering Department The University of Kansas Lawrence Kansas USA

Abstract A general framework to derive nonlinear elastic and elastoplastic material models from granular micromechanics is proposed, where a constraint‐based variational structure is introduced to classical grain contact‐based homogenization methods of hyperelasticity. Like the classical hyperelastic methods, reference solutions for closed‐form hyperelastic material models are analytically derived from the grain‐scale contact mechanics. However, unlike prior methods, the proposed homogenization framework defines closed‐form hyperelastoplastic material models that extend multiscale variational methods to granular plasticity. The proposed framework is used to develop novel granular micromechanics‐based macroscopic models for a Mises type solid, Drucker–Prager type plasticity, and grain‐contact cohesive‐debonding with a deviatorically and volumetrically coupled nonlinearly elastic response. Macroscopic plastic parameters and yield criteria are explicitly related to their microscale counterparts, for example, the friction coefficient governing intergranular slip. Numerical examples and comparison to measurements from the literature, including triaxial compaction of concrete, are provided to investigate model predictions and demonstrate calibration to experimental data.

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Sponsoring Organization:: USDOE

OSTI ID:: 1997052

Journal Information:: International Journal for Numerical and Analytical Methods in Geomechanics, Journal Name: International Journal for Numerical and Analytical Methods in Geomechanics Journal Issue: 4 Vol. 46; ISSN 0363-9061

Publisher:: Wiley Blackwell (John Wiley & Sons)Copyright Statement

Country of Publication:: United Kingdom

Language:: English

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