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https://hdl.handle.net/11681/20516| 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 Hysteretic materials Mathematical models Uniqueness Shock waves Soils Soil mechanics Ground shock |
| Publisher: | U.S. Army Engineer Waterways Experiment Station. Engineer Research and Development Center (U.S.) |
| Description: | Contract Report 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. |
| URI: | http://hdl.handle.net/11681/20516 |
| Appears in Collections: | Contract Report |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| CR-S-68-1-Report-3.pdf | 5.66 MB | Adobe PDF |  View/Open |