Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-28T14:35:44.822Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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