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|Title:||Investigation of ground shock effects in nonlinear hysteretic media. Report 3, a note on the plane waves of pressure and shear in a half-space of hysteretic material|
|Authors:||United States. Defense Atomic Support Agency.|
Matthews, Alva T.
Bleich, H. H. (Hans H.)
|Keywords:||One-dimensional wave propagation|
|Publisher:||U.S. Army Engineer Waterways Experiment Station.|
Engineer Research and Development Center (U.S.)
Abstract: The problem of one dimensional plane wave propagation is considered in isotropic, nonlinear, hysteretic materials. Solutions for surface loads of step pressure and/or shear, in cases of loading or unloading are studied, and the presence of shocks and regions of continuous stress change are discussed. The mathematical models used are a generalization of conventional elastic models. The moduli K are assumed to be functions of the stress invariant J₁, and the moduli G are functions of both J₁ and the stress deviators. Different expressions for K and G are used during loading and unloading, leading to energy loss through hysteresis.
|Rights:||Approved for public release; distribution is unlimited.|
|Appears in Collections:||Contract Report|
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|CR-S-68-1-Report-3.pdf||5.66 MB||Adobe PDF|