Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-11-23T14:41:51.900Z Has data issue: false hasContentIssue false

Rectilinear plastic flow of a Bingham solid

IV. Non-steady motion

Published online by Cambridge University Press:  24 October 2008

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

Extract

1. The general problem. In the first three papers under the same main title (1, 2, 3), attention has been confined almost entirely to a discussion of steady flow. The equations to be solved in order to determine velocity distributions in non-steady rectilinear plastic flow were given in § 1 of the third paper (3). On the assumptions of isotropy and incompressibility, the conditions of the general problem are as follows.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1948

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)Oldroyd, J. G.Proc. Cambridge Phil. Soc. 43 (1947), 396.CrossRefGoogle Scholar
(2)Oldroyd, J. G.Proc. Cambridge Phil. Soc. 43 (1947), 521.CrossRefGoogle Scholar
(3)Oldroyd, J. G.Proc. Cambridge Phil. Soc. 44 (1948), 200.CrossRefGoogle Scholar
(4)Oldroyd, J. G.Proc. Cambridge Phil. Soc. 43 (1947), 383.CrossRefGoogle Scholar
(5)Carslaw, H. S.Introduction to the Mathematical Theory of the Conduction of Heat in Solids (Macmillan, 1921).Google Scholar
(6)Weatherburn, C. E.Differential Geometry of Three Dimensions, 1 (Cambridge, 1931), pp. 110, 234.Google Scholar
(7)Hartree, D. R.Mem. Manchester Lit. Phil. Soc. 80 (1936), 85.Google Scholar
(8)Carslaw, H. S. and Jaeger, J. C.Operational Methods in Applied Mathematics (Oxford, 1941), Chaps. v, vi.Google Scholar
(9)Jeffreys, H.Operational Methods in Mathematical Physics (Cambridge, 1927), Chap. v.Google Scholar
(10)Buckingham, E.Proc. American Soc. Test. Mater. 21 (1921), 1154.Google Scholar
(11)Reiner, M.Kolloidschr. 39 (1926), 80.Google Scholar