1. Shaping energy balance

In this section, we present and comment on the equations describing heat flow in a shaping operation.

1.1 Mechanical and thermal equations of plastic flow and consequences

First, let's take a look at the equations describing the variations in volume of the velocity vector and the temperature field.

In a fixed orthonormal frame of reference, plastic flow at an instant t is described by the velocity fieldu (x, t ) and the stress field

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Shaping energy balance

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(1) - FISCHER (F.D.) - A micromechanical model for transformation plasticity in steels. - Acta metall. mater., 38, N° 8, p. 1535-1546 (1990).
(2) - FARREN (W.S.), TAYLOR (G.I.) - The heat developped during plastic extension of metals. - Proc. Roy. Soc.,...

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