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Elements of Continuum Mechanics

  • Ralf Greve
  • Heinz Blatter
Chapter
Part of the Advances in Geophysical and Environmental Mechanics and Mathematics book series (AGEM)

Abstract

Continuum mechanics is concerned with the motion and deformation of continuous bodies (for instance, a glacier). A body consists of an infinite number of material elements, called particles. For any time t, each particle is identified by a position vector x (relative to a prescribed origin O) in the physical space ε, and the continuous set of position vectors for all particles of the body is called a configuration κ of the body. If t is the actual time, the corresponding configuration is called the present configuration κ t . In addition, we define a reference configuration κ r which refers to a fixed (or initial) time t 0.

Keywords

Deformation Gradient Momentum Balance Jump Condition Material Volume 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 Berlin Heidelberg 2009

Authors and Affiliations

  • Ralf Greve
    • 1
  • Heinz Blatter
    • 2
  1. 1.Inst. Low Temperature ScienceHokkaido UniversitySapporoJapan
  2. 2.Inst. Atmospheric & Climate ScienceETH ZürichZürichSwitzerland

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