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The derivation of the equations for fluids and structure

  • Miguel A. Fernández
  • Luca Formaggia
  • Jean-Frédéric Gerbeau
  • Alfio Quarteroni
Part of the MS&A book series (MS&A, volume 1)

Abstract

In this chapter we derive the equations governing the mechanics of the fluid (the blood) and the structure (the vessel wall). The derivation will be made in a rigorous way, yet trying to provide the reader a physical understanding. Reason of space obliged us to focus on the most important models for haemodynamic computations and to omit several details and the proofs of the propositions. For instance, all issues related to energy conservation principles have been ignored and we have eventually considered only incompressible fluids.

Keywords

Computational Domain Shell Model Deformation Gradient Cauchy Stress Cauchy Stress Tensor 
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 Italia, Milano 2009

Authors and Affiliations

  • Miguel A. Fernández
    • 1
  • Luca Formaggia
    • 2
  • Jean-Frédéric Gerbeau
    • 1
  • Alfio Quarteroni
    • 1
  1. 1.INRIA Paris-RocquencourtLe Chesnay CedexFrance
  2. 2.MOX, Department of MathematicsPolitecnico di MilanoItaly

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