Simulation of the Quasi-Static Deformation of 2D Assemblages of Rigid Discs

by Y. M. Bashir, Univ of Southern California, Los Angeles, United States,
J. D. Goddard, Univ of Southern California, Los Angeles, United States,

Document Type: Proceeding Paper

Part of: Mechanics Computing in 1990's and Beyond

Abstract: Although the importance of dilatancy in the constitutive behaviour of granular materials has been recognized for some time, conclusions about its evolution and dependence on different parameters have been mostly qualitative. Recently, Goddard and Bashir have generalized the infinitesimal-strain theory of Reynolds, treating dilatancy as a kinematical constraint on the deformation connecting volume and shape changes through the relation V = α |D|. This article discusses a novel computer simulation method for quasi-static deformation of granular assemblages. Unlike existing programs, such as the well-known 'TRUBALL' and derivatives, the present method strives at the outset to achieve ideal quasi-static conditions.

Subject Headings: Granular materials | Material properties | Deformation (mechanics) | Statics (mechanics) | Dilatancy | Flow simulation | Solids flow | Constitutive relations

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