An analysis of the generalized double-sliding models for cohesionless granular materials

Nicolaas P. Kruyt

doi:10.1016/0022-5096(90)90019-Z

An analysis of the generalized double-sliding models for cohesionless granular materials

Nicolaas P. Kruyt

Faculty of Engineering Technology

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Abstract

A well-known class of constitutive relations for cohesionless granular materials are the double-sliding models. The double-sliding model proposed by Spencer (J. Mech. Phys. Solids, 12, 337, 1964) for incompressible materials as well as those of Spencer and Kingston (Rheol. Acta, 12, 194, 1974) and Mehrabadi and Cowin (J. Mech. Phys. Solids.26, 269, 1978) for compressible materials are generalized to describe the unsteady flow of cohesionless granular materials. These models are analysed and it is shown that they lead to equations that are not well-posed. Implications of this finding are discussed.

Original language	Undefined
Pages (from-to)	27-35
Journal	Journal of the mechanics and physics of solids
Volume	38
Issue number	1
DOIs	https://doi.org/10.1016/0022-5096(90)90019-Z
Publication status	Published - 1990

Keywords

IR-72819

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10.1016/0022-5096(90)90019-Z

Kruyt90analysis

Cite this

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AB - A well-known class of constitutive relations for cohesionless granular materials are the double-sliding models. The double-sliding model proposed by Spencer (J. Mech. Phys. Solids, 12, 337, 1964) for incompressible materials as well as those of Spencer and Kingston (Rheol. Acta, 12, 194, 1974) and Mehrabadi and Cowin (J. Mech. Phys. Solids.26, 269, 1978) for compressible materials are generalized to describe the unsteady flow of cohesionless granular materials. These models are analysed and it is shown that they lead to equations that are not well-posed. Implications of this finding are discussed.

KW - IR-72819

U2 - 10.1016/0022-5096(90)90019-Z

DO - 10.1016/0022-5096(90)90019-Z

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JO - Journal of the mechanics and physics of solids

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