An extended three-field principle to scale-bridge the granular micromechanics of polymer-bonded particulate materials

Bryant, Eric Cushman; Miller, Nathan Andrew; Bennett, Kane C.

doi:10.1016/j.cma.2023.116315

Title: An extended three-field principle to scale-bridge the granular micromechanics of polymer-bonded particulate materials

Journal Article · 17 August 2023 · Computer Methods in Applied Mechanics and Engineering

DOI: https://doi.org/10.1016/j.cma.2023.116315 · OSTI ID:2479495

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Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Observed phenomena of damage, viscoelasticity, and viscoplasticity in polymer-bonded particulate materials (PBPM), like polymer-bonded explosive (PBX), are accommodated in a scale-bridging constitutive model based on granular micromechanics. An extended three-field variational principle with min - max optimization problem is introduced to homogenize the bonded aggregates’ grain-scale contact mechanics. Similarly to prior applications of a three-field principle, volume constraints are invoked to embed microscale-to-macroscale correspondences for kinematic and static volumetric measures, like mean strain and its energy-conjugate stress invariant. Unlike prior applications, our three-field principle realizes a strain-driven model for effective constitutive behavior due to bonded intergranular contact. In conclusion, the resultant micro-sphere integration-based homogenization is demonstrated in comparison to existing publicly-available measurements to capture the extreme tension/compression constitutive asymmetry exhibited by PBPMs (specifically PBX-9501) during material softening.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 2479495

Report Number(s):: LA-UR--22-29583

Journal Information:: Computer Methods in Applied Mechanics and Engineering, Journal Name: Computer Methods in Applied Mechanics and Engineering Vol. 416; ISSN 0045-7825

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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42 ENGINEERING
Damage ductility
Finite element constitutive model
Granular material
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Viscoelastic–viscoplasticity
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Title: An extended three-field principle to scale-bridge the granular micromechanics of polymer-bonded particulate materials

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