Title: Prediction of Probabilistic Detonation Threshold via Millimeter-Scale Microstructure-Explicit and Void-Explicit Simulations

Abstract

Abstract We present an approach and relevant models for predicting the probabilistic shock‐to‐detonation transition (SDT) behavior and Pop plot (PP) of heterogeneous energetic materials (HEM) via mesoscopic microstructure‐explicit (ME) and void explicit (VE) simulations at the millimeter (mm) sample size scale. Although the framework here is general, the particular material considered in this paper is pressed Octahydro‐1,3,5,7‐tetranitro‐1,2,3,5‐tetrazocine (HMX). To systematically delineate the effects of material heterogeneities, four material cases are considered. These cases are homogeneous material, material with granular microstructure but no voids, homogeneous material with voids, and material with both granular microstructure and voids. Statistically equivalent microstructure sample sets (SEMSS) are generated and used. Eulerian hydrocode simulations explicitly resolve the material heterogeneities, voids, and the coupled mechanical‐thermal‐chemical processes. In particular, it is found that both microstructure and voids strongly influence the SDT behavior and PP. The effects of different combinations of microstructure heterogeneity and voids on the SDT process and PP are quantified and rank‐ordered. The overall framework uses the Mie–Grüneisen equation of state and a history variable reactive burn model (HVRB). A novel probabilistic representation for quantifying the PP is developed, allowing the calculation of (1) the probability of observing SDT at a given combination of shock pressuremore » and run distance, (2) the run‐distance to detonation under a given combination of shock pressure and prescribed probability, and (3) the shock pressure required for achieving SDT at a given run distance with a prescribed probability. The results are in agreement with general trends in experimental data in the literature.« less

Authors:

Miller, Christopher ^[1]; Kittell, David ^[2]; Yarrington, Cole ^[2]; Zhou, Min ^[1]

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+ Show Author Affiliations

1. Georgia Inst. of Technology, Atlanta, GA (United States)
2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Publication Date:

Mon Dec 09 00:00:00 EST 2019

Research Org.:

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Org.:

USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:

1596075

Alternate Identifier(s):

OSTI ID: 1577893

Report Number(s):

SAND2019-6826J
Journal ID: ISSN 0721-3115; 676500

Grant/Contract Number:  

AC04-94AL85000; HDTRA1-18-1-0004; NA0003864; NA0003525

Resource Type:

Accepted Manuscript

Journal Name:

Propellants, Explosives, Pyrotechnics

Additional Journal Information:

Journal Volume: 45; Journal Issue: 2; Journal ID: ISSN 0721-3115

Publisher:

Wiley

Country of Publication:

United States

Language:

English

Subject:

45 MILITARY TECHNOLOGY, WEAPONRY, AND NATIONAL DEFENSE; HMX; detonation; probabilistic; CTH; shock