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Title:Probabilistic modeling of propellant beds exposed to strong stimulus
Author(s):Ford, David K.; Stewart, D. Scott
Subject(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.
Issue Date:1993-11
Publisher:Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report:TAM R 734
Genre:Technical Report
Sponsor:US Air Force Wright Lab 93/11
Rights Information:Copyright 1993 Board of Trustees of the University of Illinois
Date Available in IDEALS:2021-11-04

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  • Technical Reports - Theoretical and Applied Mechanics (TAM)
    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.

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