Small Scale and/or High Resolution Elasticity

  • I. Goldhirsch
  • C. Goldenberg
Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 13)


A general exact formulation of elasticity as a macroscopic theory with resolution that can be chosen, is presented. The theory is fully compatible with the classical theory of elasticity for coarse resolutions but exhibits differences at fine resolutions. For instance, a correction term to the classical expression for the elastic energy that stems from the work of the fluctuating displacements (in disordered systems) is obtained. Some applications and open problems are discussed.


Granular Material Coarse Graining Momentum Density Granular System Classical Expression 
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Copyright information

© Springer Science+Business Media, B.V. 2009

Authors and Affiliations

  • I. Goldhirsch
    • 1
  • C. Goldenberg
    • 2
  1. 1.School of Mechanical EngineeringTel-Aviv UniversityTel-AvivIsrael
  2. 2.Laboratoire de Physique et Mécanique des Milieux Hétérogènes (CNRS UMR 7636)ESPCIParis Cedex 05France

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