Continuum Mechanics: Three Spatial Dimensions

  • Mark H. Holmes
Part of the Texts in Applied Mathematics book series (TAM, volume 56)

The water in the ocean, the air in the room, and a rubber ball have a common characteristic, they appear to completely occupy their respective domains. What this means is that the material occupies every point in the domain. This observation is the basis of the continuum approximation, and it was used in Section 5.2 to define continuum variables such as density and flux. These variables can be defined as long as the individual nature of the constituent particles are not apparent.


Stress Tensor Spatial Dimension Simple Shear Material Point Rigid Body Motion 
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Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Department of Mathematical SciencesRensselaer Polytechnic InstituteTroyUSA

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