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Physics of Asymmetric Continuum: Extreme and Fracture Processes

Earthquake Rotation and Soliton Waves

  • Book
  • © 2008

Overview

Editors:
  1. Roman Teisseyre

    1. Polish Academy of Sciences Institute of Geophysics, Poland

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  2. Hiroyuki Nagahama

    1. Graduate School of Science Inst. Geology & Paleontology, Tohoku University, Japan

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  3. Eugeniusz Majewski

    1. Polish Academy of Sciences Institute of Geophysics, Poland

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  • Presents a system approach which combines the physics of asymmetric and degenerated continua with general relativity

  • Includes supplementary material: sn.pub/extras

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Table of contents (20 chapters)

  1. Front Matter

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

    1. Front Matter

      Pages 1-1
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    2. Introduction to Asymmetric Continuum: Fundamental Point Deformations

      • Roman Teisseyre, Marek Górski
      Pages 3-16

    3. Measurement of Short-Period Weak Rotation Signals

      • Leszek R. Jaroszewicz, Jan Wiszniowski
      Pages 17-47

    4. Buildings as Sources of Rotational Waves

      • Mihailo D. Trifunac
      Pages 49-66

    5. Two-Pendulum Systems for Measuring Rotations

      • Vladimir Graizer
      Pages 67-76

    6. Theory and Observations: Some Remarks on Rotational Motions

      • Roman Teisseyre
      Pages 77-82

  3. Continuum with Defect Densities and Asymmetry of Fields

    1. Front Matter

      Pages 83-83
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    2. Field Invariant Representation: Dirac Tensors

      • Jan Wiszniowski, Roman Teisseyre
      Pages 85-93

    3. Asymmetric Continuum: Standard Theory

      • Roman Teisseyre
      Pages 95-109

    4. Fracture Processes: Spin and Twist-Shear Coincidence

      • Roman Teisseyre, Marek Górski, Krzysztof P. Teisseyre
      Pages 111-122

    5. Inplane and Antiplane Fracturing in a Multimode Random Sequence

      • Wojciech BoratyÅ„ski
      Pages 123-136

    6. 10 Charged Dislocations and Various Sources of Electric Field Excitation

      • Krzysztof P. Teisseyre
      Pages 137-161

    7. Friction and Fracture Induced Anisotropy: Asymmetric Stresses

      • Roman Teisseyre
      Pages 163-169

    8. Asymmetric Fluid Dynamics: Extreme Phenomena

      • Roman Teisseyre
      Pages 171-174

    9. Fracture Band Thermodynamics

      • Roman Teisseyre
      Pages 175-186

    10. Interaction Asymmetric Continuum Theory

      • Roman Teisseyre
      Pages 187-191

    11. Fracture Physics Based on a Soliton Approach

      • Eugeniusz Majewski
      Pages 193-208

    12. Canonical Approach to Asymmetric Continua

      • Eugeniusz Majewski
      Pages 209-218

  4. Deformations in Riemannian Geometry

    1. Front Matter

      Pages 219-219
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Keywords

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.

Editors and Affiliations

  • Polish Academy of Sciences Institute of Geophysics, Poland

    Roman Teisseyre, Eugeniusz Majewski

  • Graduate School of Science Inst. Geology & Paleontology, Tohoku University, Japan

    Hiroyuki Nagahama

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