Viscometric Flows of Non-Newtonian Fluids pp 10-20 | Cite as
Theory of Incompressible Simple Fluids
Chapter
Abstract
The mechanics of continuous media is concerned with the motion and deformation of bodies. A body consists of material points X, which in the course of a motion change their position in space. Let x be the position in Euclidean space ﻉ of the material point X at time t, which we interpret as the present time. Suppose that at time τ, say τ ≤ t, this same material point X occupied the position ξ in ﻉ. For the dependence of ξ on x, t,and τ, we write
$$\xi ={{\chi }_{t}}(x,\tau ). $$
(4.1)
Keywords
Stress Tensor Constitutive Equation Contact Force Material Point Material Objectivity
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© Springer-Verlag · Berlin/Heidelberg 1966