Release-Rebound Processes and Motions

  • Roman Teisseyre
  • Maria Teisseyre-Jeleńska
Part of the GeoPlanet: Earth and Planetary Sciences book series (GEPS)


Some important tensor relations, e.g., those related to the shear deviatoric strains and to rotation strains, may be presented as vector relations in a special coordinate system, e.g., in the diagonal or off-diagonal systems. However, these fields can be presented in the 4D invariant forms by means of the invariant Dirac tensors. Thus, we present the 4D relativistic relations for the invariantly presented deviatoric strain and rotation strain vectors in solids and the molecular strain and rotation vectors in fluids. We end this chapter with outlining a suggestion of K. P. Teisseyre (2012, private communication) that the molecular vorticity may be related to a gradient of pressure in the P-wave propagation; to this end we define the molecular vorticity in solids as based on the molecular transport.

Release-Rebound Processes and Motions

In our considerations some important relations for vectors and tensors were achieved only in a special coordinate system, e.g., in a...


Shear Strain Fracture Process Molecular Transport Molecular Rotation Deviatoric Strain 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Institute of GeophysicsPolish Academy of SciencesWarsawPoland

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