Calibrating the stress-time curve of a combined finite-discrete element method to a Split Hopkinson Pressure Bar experiment

Osthus, Dave; Godinez, Humberto C.; Rougier, Esteban; Srinivasan, Gowri

doi:10.1016/j.ijrmms.2018.03.016

Title: Calibrating the stress-time curve of a combined finite-discrete element method to a Split Hopkinson Pressure Bar experiment

Journal Article · Fri Jun 01 00:00:00 EDT 2018 · International Journal of Rock Mechanics and Mining Sciences

DOI:https://doi.org/10.1016/j.ijrmms.2018.03.016· OSTI ID:1435489

Osthus, Dave; Godinez, Humberto C.; Rougier, Esteban; Srinivasan, Gowri

We present a generic method for automatically calibrating a computer code to an experiment, with uncertainty, for a given “training” set of computer code runs. The calibration technique is general and probabilistic, meaning the calibration uncertainty is represented in the form of a probability distribution. We demonstrate the calibration method by calibrating a combined Finite-Discrete Element Method (FDEM) to a Split Hopkinson Pressure Bar (SHPB) experiment with a granite sample. The probabilistic calibration method combines runs of a FDEM computer simulation for a range of “training” settings and experimental uncertainty to develop a statistical emulator. The process allows for calibration of input parameters and produces output quantities with uncertainty estimates for settings where simulation results are desired. Input calibration and FDEM fitted results are presented. We find that the maximum shear strength $σ_{t}^{\max}$ and to a lesser extent maximum tensile strength $σ_{n}^{\max}$ govern the behavior of the stress-time curve before and around the peak, while the specific energy in Mode II (shear) $E_{t}$ largely governs the post-peak behavior of the stress-time curve. Good agreement is found between the calibrated FDEM and the SHPB experiment. Interestingly, we find the SHPB experiment to be rather uninformative for calibrating the softening-curve shape parameters (a, b, and c). This work stands as a successful demonstration of how a general probabilistic calibration framework can automatically calibrate FDEM parameters to an experiment.

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

Sponsoring Organization:: USDOE; LANL Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1435489

Alternate ID(s):: OSTI ID: 1438151

Report Number(s):: LA-UR-18-22744; S1365160917311449; PII: S1365160917311449

Journal Information:: International Journal of Rock Mechanics and Mining Sciences, Journal Name: International Journal of Rock Mechanics and Mining Sciences Vol. 106 Journal Issue: C; ISSN 1365-1609

Publisher:: ElsevierCopyright Statement

Country of Publication:: United Kingdom

Language:: English

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Cited by: 25 works

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