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Title: Investigation of ground shock effects in nonlinear hysteretic media. Report 4, Effect of a step load moving with constant superseismic velocity on a half-space of a variable modulus material
Authors: United States. Defense Atomic Support Agency
Matthews, Alva T.
Sandler, Ivan S.
Bleich, H. H. (Hans H.)
Keywords: Ground shock
Shock waves
Soil mechanics
Mathematical models
Hysteretic material
Variable modulus material
Step load
Superseismic velocity
Plane strain
Publisher: U.S. Army Engineer Waterways Experiment Station.
Engineer Research and Development Center (U.S.)
Description: Contract Report
Abstract: The report considers the two dimensional effects of a step wave progressing with constant superseismic velocity on the surface of a half-space. The material treated is isotropic and it is assumed that incremental relations between both deviatoric and volumetric stress and strain depend not only on the instantaneous values of those quantities, but also on bulk and shear moduli which differ according to whether initial loading, unloading, or reloading occurs. Simple closed form solutions are obtained when the moduli K and G are constant and lie within certain limits. For the more general case, when K and G are functions of the first and second invariants of stress, solutions requiring only quadratures are found. As an auxiliary study, a problem involving a half-space of fluid with a bilinear pressure volume relation is solved.
Rights: Approved for public release; distribution is unlimited.
Appears in Collections:Contract Report

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