Accession Number:
AD0723210
Title:
On the Use of a Special Nonassociated Flow Rule for Problems of Elasto-Plastic Wave Propagation,
Descriptive Note:
Corporate Author:
WEIDLINGER (PAUL) NEW YORK
Personal Author(s):
Report Date:
1971-03-01
Pagination or Media Count:
80.0
Abstract:
Computational work to determine wave propagation in soils has been undertaken by various groups, using elasto-plastic materials with nonassociated flow rules. Theoretical objections against such computations have been raised, because in static problems nonassociated flow rules may lead to nonuniqueness of the solutions. For a typical example the situation is discussed by D. C. Drucker Ref. 4. The present investigation demonstrates that the nonuniqueness shown in Ref. 4 disappears if the same material description is used in a dynamic problem. It is shown that the static behavior of a frequently used material subject to a Coulomb yield condition, but employing a von Mises plastic potential, exhibits again problems of uniqueness, but that these disappear in the dynamic situations studied. Uniqueness could be demonstrated not only in simple cases involving a homogeneous stress field, but also for the case of one dimensional wave propagation in a half-space subjected to combined surface pressure and surface shear. Author
Descriptors:
Subject Categories:
- Soil Mechanics