University of Illinois Urbana-Champaign

Probabilistic modeling of propellant beds exposed to strong stimulus

Ford, David K.; Stewart, D. Scott

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https://hdl.handle.net/2142/112424

Description

Title
Probabilistic modeling of propellant beds exposed to strong stimulus
Author(s)
  • Ford, David K.
  • Stewart, D. Scott
Issue Date
1993-11
Keyword(s)
  • Propellant Beds
  • Probabilistic Techniques
Abstract
The purpose of this paper is to generalize a one-dimensional result of Stewart and Asay [1991] using probabilistic techniques t hat are applicable in higher dimensions. In Stewart and Asay, the mechanics of a bed of interacting grains of explosive are studied in one-dimension as a chain of energetic particles. The physics of the interactions is governed by the Taylor-Zeldovich blast wave solution for a polytropic fluid. The rule by which individual particles release their chemical energy was chosen so that it is rate sensitive. The pressure of the leading blast wave is found using a recursion relation. The grain properties and inter-grain spacing were assumed to be constant. In the current work the chain is randomized in the sense that inter-particle spacing and the amount of chemical energy stored at the particle sites are random variables. The total amount of energy associated with the leading blast wave is seen to be a discrete parameter Markov process. The process converges exponentially to some stationary state. The distribution of this state is determined by the initial conditions and the chemical energy release rule. The pressure is a function of this Markov process and its law may be determined.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 734
  • 1993-6032
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112424
Sponsor(s)/Grant Number(s)
US Air Force Wright Lab 93/11
Copyright and License Information
Copyright 1993 Board of Trustees of the University of Illinois

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Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.