Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

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

J. G. Oldroyda1

a1 Courtaulds Ltd. Research Laboratory Maidenhead, Berks

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.

(Received May 11 1946)