Incipient plane-strain failure of a rectangular block under gravity

We consider the problem of the incipient plastic failure of a two-dimensional rectangular block of yield stress material under plane strain conditions and gravitational loading. The block is assumed to behave as a perfectly rigid-plastic material obeying the Tresca yield condition. There is no tract...

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Bibliographic Details
Published in:International journal of mechanical sciences 2001-03, Vol.43 (3), p.793-815
Main Authors: Chamberlain, J.A., Sader, J.E., Landman, K.A., White, L.R.
Format: Article
Language:English
Subjects:
Gravity
Plane strain
Slip-lines
Slump test
Yield stress
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Summary:We consider the problem of the incipient plastic failure of a two-dimensional rectangular block of yield stress material under plane strain conditions and gravitational loading. The block is assumed to behave as a perfectly rigid-plastic material obeying the Tresca yield condition. There is no traction on the vertical sides and horizontal top, and the traction at the base is determined via a modifed Coulomb-type friction. We use slip-line field theory to calculate the stress field. Our analysis establishes the dimensions of the block which give incipient failure and also suggests a way of determining the yield stress. Furthermore, we show that the precise value of the coefficient of friction on the base can be unimportant in certain situations.
ISSN:0020-7403
1879-2162
DOI:10.1016/S0020-7403(00)00029-1