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    Triaxial Test Instability of a Nonassociated Flow‐Rule Model

    Source: Journal of Engineering Mechanics:;1993:;Volume ( 119 ):;issue: 006
    Author:
    Daniel C. Drucker
    ,
    Ming Li
    DOI: 10.1061/(ASCE)0733-9399(1993)119:6(1188)
    Publisher: American Society of Civil Engineers
    Abstract: The Mohr‐Coulomb yield condition with a nonassociated flow rule is often used to model the behavior of dry or drained sand. A previous paper demonstrated, using a single shear band with a rotating orientation, that a genuine but limited instability would occur in such a model at each state of triaxial stress in the inelastic range. This paper develops the equations, explores the quantitative behavior of the model, and examines possible alternative patterns of deformation. The extent of the unstable jumps in plastic strains (0.01) and displacements, and the largely hidden transient stress jumps (15%), are calculated for such a model of sand with properties similar to those given by Lade in his papers reporting triaxial test stability in the wedge region. When the incremental elastic response is too small to stabilize the plastic, any similar model with a nonassociated flow rule likewise is unstable. The mathematical requirements for stability and the modeling of stable granular media are commented upon briefly.
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      Triaxial Test Instability of a Nonassociated Flow‐Rule Model

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    contributor authorDaniel C. Drucker
    contributor authorMing Li
    date accessioned2017-05-08T22:36:58Z
    date available2017-05-08T22:36:58Z
    date copyrightJune 1993
    date issued1993
    identifier other%28asce%290733-9399%281993%29119%3A6%281188%29.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/83905
    description abstractThe Mohr‐Coulomb yield condition with a nonassociated flow rule is often used to model the behavior of dry or drained sand. A previous paper demonstrated, using a single shear band with a rotating orientation, that a genuine but limited instability would occur in such a model at each state of triaxial stress in the inelastic range. This paper develops the equations, explores the quantitative behavior of the model, and examines possible alternative patterns of deformation. The extent of the unstable jumps in plastic strains (0.01) and displacements, and the largely hidden transient stress jumps (15%), are calculated for such a model of sand with properties similar to those given by Lade in his papers reporting triaxial test stability in the wedge region. When the incremental elastic response is too small to stabilize the plastic, any similar model with a nonassociated flow rule likewise is unstable. The mathematical requirements for stability and the modeling of stable granular media are commented upon briefly.
    publisherAmerican Society of Civil Engineers
    titleTriaxial Test Instability of a Nonassociated Flow‐Rule Model
    typeJournal Paper
    journal volume119
    journal issue6
    journal titleJournal of Engineering Mechanics
    identifier doi10.1061/(ASCE)0733-9399(1993)119:6(1188)
    treeJournal of Engineering Mechanics:;1993:;Volume ( 119 ):;issue: 006
    contenttypeFulltext
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