Physics of Asymmetric Continuum: Extreme and Fracture Processes

Earthquake Rotation and Soliton Waves

  • Roman Teisseyre
  • Hiroyuki Nagahama
  • Eugeniusz Majewski

Table of contents

  1. Front Matter
    Pages I-XVI
  2. Introduction to Asymmetric Continuum and Experimental Evidence of Rotation Motions

    1. Front Matter
      Pages 1-1
    2. Leszek R. Jaroszewicz, Jan Wiszniowski
      Pages 17-47
    3. Mihailo D. Trifunac
      Pages 49-66
    4. Vladimir Graizer
      Pages 67-76
  3. Continuum with Defect Densities and Asymmetry of Fields

    1. Front Matter
      Pages 83-83
    2. Jan Wiszniowski, Roman Teisseyre
      Pages 85-93
    3. Roman Teisseyre
      Pages 95-109
    4. Roman Teisseyre, Marek Górski, Krzysztof P. Teisseyre
      Pages 111-122
    5. Roman Teisseyre
      Pages 171-174
    6. Roman Teisseyre
      Pages 175-186
    7. Roman Teisseyre
      Pages 187-191
    8. Eugeniusz Majewski
      Pages 193-208
    9. Eugeniusz Majewski
      Pages 209-218
  4. Deformations in Riemannian Geometry

About this book


Our new monograph has been inspired by the former one, Earthquake Source Asymmetry, Structural Media, and Rotation Effects (R. Teisseyre, M. Takeo, and E. Majewski, eds, Springer 2006). Some problems, c- cerned primarily but not exclusively with the basic theoretical nature, have appeared to us as worthy of further analysis. Thus, in the present mo- graph we intend to develop new theoretical approaches to the theory of continua that go far beyond the traditional seismological applications. We also try to present the links between the experimental data, the observed rotational seismic waves, and their theoretical evaluation and description. In addition, we consider the basic point motions and deformations, and we intend to find the invariant forms to describe such point motions. We believe that there must exist the basic equations for all point motions and deformations, and we derive such relations within a frame of a continuum theory. Thus, in the considered standard asymmetric theory, we include relations not only for the displacement velocities but also for a spin motion and basic point deformations as well. We include here the axial point - formation and twist point deformation represented by the string-string and string-membrane motions. A twist vector is defined here as a vector p- pendicular to the string-string plane and representing its magnitude. It - comes an important counterpart to spin and a key to the presented theory. We show in the forthcoming chapters that the twist motion describes the oscillations of shear axes.


Soliton continuum mechanics digital elevation model dynamics earthquake fluid dynamics fluid mechanics fracture geometry geophysics mechanics seismic seismology thermodynamics waves

Editors and affiliations

  • Roman Teisseyre
    • 1
  • Hiroyuki Nagahama
    • 2
  • Eugeniusz Majewski
    • 1
  1. 1.Polish Academy of Sciences Institute of GeophysicsPoland
  2. 2.Graduate School of Science Inst. Geology & PaleontologyTohoku UniversityJapan

Bibliographic information