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Classical Problems and Problems with Friction in Elasticity and Visco-Elasticity

  • Georges Duvaut
  • Jacques Louis Lions
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 219)

Abstract

In this chapter, we take up problems of elasticity and visco-elasticity. We recall (of course, this will be stated more precisely in what follows) that visco-elasticity differs from elasticity by the fact that the state of stress at present depends, in the visco-elastic case, on all the deformations undergone in the past (and does not depend on them in the elastic case).

Keywords

Variational Formulation Elastic Body Dynamic Problem Classical Problem Positive Measure 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1976

Authors and Affiliations

  • Georges Duvaut
    • 1
  • Jacques Louis Lions
    • 2
  1. 1.Mécanique ThéoretiqueUniversité de Paris VIParisFrance
  2. 2.Collège de FranceParisFrance

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