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Theory of Incompressible Simple Fluids

  • Bernard D. Coleman
  • Hershel Markovitz
  • Walter Noll
Part of the Springer Tracts in Natural Philosophy book series (STPHI, volume 5)

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 of the material point X at time t, which we interpret as the present time. Suppose that at time τ, say τt, this same material point X occupied the position ξ in . 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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag · Berlin/Heidelberg 1966

Authors and Affiliations

  • Bernard D. Coleman
    • Hershel Markovitz
      • 1
    • Walter Noll
      • 2
    1. 1.Mellon InstituteUSA
    2. 2.Carnegie Institute of TechnologyUSA

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