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A rational formulation of the equations of plastic flow for a Bingham solid

Published online by Cambridge University Press:  24 October 2008

J. G. Oldroyd
J. G. Oldroyd
Affiliation:
Courtaulds Ltd.Research LaboratoryMaidenhead, Berks
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Extract

In this paper we are concerned with a material which can support a finite stress elastically without flow and which flows with constant mobility(1) (or plastic fluidity) when the stresses are sufficiently great. Following Bingham(1) and Houwink(2), such a material is called a Bingham solid and the type of flow (purely) plastic. The transition from elastic to plastic behaviour takes place at the yield point.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 43 , Issue 1 , January 1947 , pp. 100 - 105
Copyright
Copyright © Cambridge Philosophical Society 1947

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References

REFERENCES

(1)Bingham, E. C.Fluidity and Plasticity (1922), 215–18.Google Scholar
(2)Houwink, R.Elasticity, Plasticity and Structure of Matter (1937), 10.Google Scholar
(3) See, for example, Jeffreys, H.Cartesian Tensors (1931), chap. viii.Google Scholar
(4)Reiner, M.Ten Lectures on Theoretical Rheology (1943), 49, 133. (Reiner suggests tensor forms for the equations of state but does not use the free and dummy suffix notation.)Google Scholar