A Comparison between Separately Calibrated P-α and Mesoscale Models for Weak Shock Compaction of Granular Sugar

Fuente: arXiv
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Autores principales: Seo, Dawa, Luscher, Darby J., Daphalapurkar, Nitin
Formato: Preprint
Publicado: 2025
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author Seo, Dawa
Luscher, Darby J.
Daphalapurkar, Nitin
author_facet Seo, Dawa
Luscher, Darby J.
Daphalapurkar, Nitin
contents This study compares calibration strategies for predicting particle velocity in granular sugar subjected to weak shock loading, using measurements from flyer-plate impact experiments as a benchmark. Two computational approaches are evaluated: a continuum-based P-alpha Menikoff model requiring calibration of effective constitutive parameters, and mesoscale simulations that explicitly resolve grain geometry and porosity. Both models can match the measured particle-velocity histories, but only through fundamentally different calibration mechanisms. In the P-alpha model, a pressure-dependent yield strength is essential and the response remains highly sensitive to parameter choices such as the crush-out pressure. In contrast, mesoscale simulations are far less sensitive to parameter tuning and instead depend primarily on the physical state variable of porosity, represented in 2D through an equivalent mapping of the 3D specimen. These results show that continuum parameters act as effective surrogates for underlying grain-scale processes, whereas mesoscale modeling identifies porosity as the dominant control on macroscopic wave onset, highlighting distinct calibration pathways and interpretive implications for each modeling approach.
format Preprint
id arxiv_https___arxiv_org_abs_2512_01940
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Comparison between Separately Calibrated P-α and Mesoscale Models for Weak Shock Compaction of Granular Sugar
Seo, Dawa
Luscher, Darby J.
Daphalapurkar, Nitin
Computational Physics
This study compares calibration strategies for predicting particle velocity in granular sugar subjected to weak shock loading, using measurements from flyer-plate impact experiments as a benchmark. Two computational approaches are evaluated: a continuum-based P-alpha Menikoff model requiring calibration of effective constitutive parameters, and mesoscale simulations that explicitly resolve grain geometry and porosity. Both models can match the measured particle-velocity histories, but only through fundamentally different calibration mechanisms. In the P-alpha model, a pressure-dependent yield strength is essential and the response remains highly sensitive to parameter choices such as the crush-out pressure. In contrast, mesoscale simulations are far less sensitive to parameter tuning and instead depend primarily on the physical state variable of porosity, represented in 2D through an equivalent mapping of the 3D specimen. These results show that continuum parameters act as effective surrogates for underlying grain-scale processes, whereas mesoscale modeling identifies porosity as the dominant control on macroscopic wave onset, highlighting distinct calibration pathways and interpretive implications for each modeling approach.
title A Comparison between Separately Calibrated P-α and Mesoscale Models for Weak Shock Compaction of Granular Sugar
topic Computational Physics
url https://arxiv.org/abs/2512.01940