Physics of Asymmetric Continuum: Extreme and Fracture Processes (eBook)

Earthquake Rotation and Soliton Waves

Roman Teisseyre, Hiroyuki Nagahama, Eugeniusz Majewski (Herausgeber)

eBook Download: PDF

2008 | 2008
XVI, 293 Seiten
Springer Berlin (Verlag)
978-3-540-68360-5 (ISBN)

Infos

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.

Inhalt

Introduction 5
Contents 9
Contributors 15
PART I INTRODUCTION TO ASYMMETRIC CONTINUUM AND EXPERIMENTAL EVIDENCE OF ROTATION MOTIONS 17
1 Introduction to Asymmetric Continuum: Fundamental Point Deformations 18
2 Measurement of Short-Period Weak Rotation Signals 32
3 Buildings as Sources of Rotational Waves 63
4 Two-Pendulum Systems for Measuring Rotations 81
5 Theory and Observations: Some Remarks on Rotational Motions 91
PART II CONTINUUM WITH DEFECT DENSITIES AND ASYMMETRY OF FIELDS 97
6 Field Invariant Representation: Dirac Tensors 98
7 Asymmetric Continuum: Standard Theory 107
8 Fracture Processes: Spin and Twist-Shear Coincidence 122
9 Inplane and Antiplane Fracturing in a Multimode Random Sequence 134
10 Charged Dislocations and Various Sources of Electric Field Excitation 148
11 Friction and Fracture Induced Anisotropy: Asymmetric Stresses 173
12 Asymmetric Fluid Dynamics: Extreme Phenomena 180
13 Fracture Band Thermodynamics 184
14 Interaction Asymmetric Continuum Theory 196
15 Fracture Physics Based on a Soliton Approach 201
16 Canonical Approach to Asymmetric Continua 217
PART III DEFORMATIONS IN RIEMANNIAN GEOMETRY 227
17 Continuum Theory of Defects: Advanced Approaches 228
18 Spinors and Torsion in a Riemann-Cartan Approach to Elasticity with a Continuous Defect Distribution and Analogies to the Einstein- Cartan Theory of Gravitation 256
19 Twistors as Spin and Twist Solitons 280
20 Potentials in Asymmetric Continuum: Approach to Complex Relativity 292

Produkt-Details

• Erscheint lt. Verlag: 7.8.2008
• Zusatzinfo: XVI, 293 p. 62 illus.
• Verlagsort: Berlin
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Geowissenschaften ► Geologie
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• Themenwelt: Technik
• Schlagworte: Continuum Mechanics • Digital Elevation Model • Dynamics • Earthquake • fluid- and aerodynamics • Fluid Dynamics • fluid mechanics • Fracture • Geometry • Geophysics • Mechanics • microcontinuum mechanics • Physics • Seismic • Seismology • Soliton • thermodynamics • Waves
• ISBN-10: 3-540-68360-7 / 3540683607
• ISBN-13: 978-3-540-68360-5 / 9783540683605