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The Fundamental Equations of Continuum Mechanics

  • Wilhelm Flügge

Abstract

Continuum mechanics draws its equations from three sources of physical information. In Section 4.2 we have already discussed the constitutive equations, which describe the empirical properties of the material. The kinematic relations between the displacement vector and the strain tensor have been explained in Chapter 2, but the treatment given there had a preliminary character because we approached the subject before we had learned how to differentiate a vector. We shall have to come back to this subject. The equilibrium conditions and their dynamic counterpart, the equations of motion, have not yet been touched upon. All this will be done now, and then we shall see how one can condense all these equations to a single one for one surviving unknown.

Keywords

Porous Medium Volume Element Fundamental Equation Vortex Tube Kinematic Relation 
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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References

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Copyright information

© Springer-Verlag Berlin Heidelberg 1972

Authors and Affiliations

  • Wilhelm Flügge
    • 1
  1. 1.Stanford UniversityStanfordUSA

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