Plane mechanics and kinematics of compressible ideal granular materials

Spencer, A. J. M.; Kingston, M. R.

doi:10.1007/978-3-662-41458-3_20

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(3 citation statements)

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“…For example the forces applied may result in the crushing strength of the material being exceeded, and then the dilatation-rate depends on the history of the applied pressure, while the surface friction is sufficient to prevent surface slip. In such a case, the theory of Spencer and Kingston [15], with solutions of the form (3.18), is appropriate. Hence we assume…”

Section: Compression and Shear Of A Granular Layer Velocity Fieldmentioning

confidence: 97%

“…There are two main ways in which the double-shearing theory may be modified to include an element of compressibility. The first was proposed by Spencer and Kingston [15]; in this extended theory (2.10) and (2.11) are unchanged, but (2.12) is replaced by…”

Section: General Theorymentioning

confidence: 99%

“…We seek solutions in which the material does not undergo stretching in the x-direction so that there is no slip between the layer and the platens, In order to satisfy this boundary condition it is natural to use the Spencer and Kingston theory [15], with the governing equations (2.10), (2.11) and (2.13). We assume that both of the velocity components u and v depend only on y, of the form…”

Section: An Exact Solution For a Layer Of Granular Materialsmentioning

confidence: 99%

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Compression and shear of a layer of granular material

Spencer

2005

J Eng Math

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A classical problem in metal plasticity is the compression of a block of material between rigid platens. The corresponding problem for a layer of granular material that conforms to the Coulomb-Mohr yield condition and the double-shearing theory for the velocity field has also been solved. A layer of granular material between rough rigid plates that is subjected to both compression and shearing forces is considered. Analytical solutions are obtained for the stress and velocity fields in the layer. The known solutions for steady simple shear and pure compression are recovered as special cases. Yield loads are determined for combined compression and shear in the case of Coulomb friction boundary conditions. Numerical results which describe the stress and velocity fields in terms of the normal and shear forces on the layer at yield are presented for the case in which the surfaces of the platens are perfectly rough. Post-yield behaviour is briefly considered.

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Section: Compression and Shear Of A Granular Layer Velocity Fieldmentioning

confidence: 97%

Section: General Theorymentioning

confidence: 99%

Section: An Exact Solution For a Layer Of Granular Materialsmentioning

confidence: 99%

See 1 more Smart Citation