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

Subject Categories:

  • Soil Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE