Probabilistic solution for onedimensional plane wave propagation in homogeneous bilinear hysteretic materials
Abstract
This paper describes the development of a probabilistic solution for stress wave propagation in homogeneous bilinear hysteretic materials subjected to an exponentially decaying surface airblast pulse. The partial derivative method is used to calculate the time histories of the moments of the dependent (output) variables, consisting of particle displacement, particle velocity, and stress, in terms of functions of moments of the independent (input) variables. The partial derivatives are evaluated numerically using finitedifference approximations. Several sensitivity analyses are conducted to illustrate how the solution technique can be used to quantify and rank the relative effects of input variabilities or uncertainties on the dispersion of output quantities. Finally, application of the methodology for conducting probabilistic analyses of airblastinduced vertical ground shock is demonstrated.
 Publication:

Final Report Army Engineer Waterways Experiment Station
 Pub Date:
 June 1982
 Bibcode:
 1982army.rept.....R
 Keywords:

 Explosions;
 Hysteresis;
 Shock Waves;
 Stress Waves;
 Wave Propagation;
 Finite Difference Theory;
 Independent Variables;
 Mathematical Models;
 Probability Theory;
 Communications and Radar