Physics of Asymmetric Continuum: Extreme and Fracture Processes: Earthquake Rotation and Soliton Waves

ISBN-13: 9783642087950 / Angielski / Miękka / 2010 / 293 str.

Roman Teisseyre; Hiroyuki Nagahama; Eugeniusz Majewski

Opis

The monograph summarizes some fundamental theories of continua, in particular those with defect content, and develops asymmetric theory of continuum; the idea of spin and twist motions, the latter related to the shear axes oscillations, leads to the complex rotation field governed by the equations analogues to electromagnetic field.

Experimental evidence related to seismic rotation motions is discussed from the point of view of interactive processes in an earthquake source zone and for the near-ground effects.

Some synchronization effects between spin and twist motions discovered in a near-earthquake field are discussed and corroborated by theoretically derived solutions; this interaction appears as a correlated motion between rotation and strain, shifted in phase. The asymmetric theory includes such correlated solutions which had not been expected in the previous theories of continua. The new approach is extended also for the soliton wave theory with applications to fluid mechanics. Investigated space geometry approach to asymmetric and degenerated continua points to an analogy in the general relativity.

Spis treści

to Asymmetric Continuum and Experimental Evidence of Rotation Motions.- to Asymmetric Continuum: Fundamental Point Deformations.- Measurement of Short-Period Weak Rotation Signals.- Buildings as Sources of Rotational Waves.- Two-Pendulum Systems for Measuring Rotations.- Theory and Observations: Some Remarks on Rotational Motions.- Continuum with Defect Densities and Asymmetry of Fields.- Field Invariant Representation: Dirac Tensors.- Asymmetric Continuum: Standard Theory.- Fracture Processes: Spin and Twist-Shear Coincidence.- Inplane and Antiplane Fracturing in a Multimode Random Sequence.- 10 Charged Dislocations and Various Sources of Electric Field Excitation.- Friction and Fracture Induced Anisotropy: Asymmetric Stresses.- Asymmetric Fluid Dynamics: Extreme Phenomena.- Fracture Band Thermodynamics.- Interaction Asymmetric Continuum Theory.- Fracture Physics Based on a Soliton Approach.- Canonical Approach to Asymmetric Continua.- Deformations in Riemannian Geometry.- Continuum Theory of Defects: Advanced Approaches.- Spinors and Torsion in a Riemann-Cartan Approach to Elasticity with a Continuous Defect Distribution and Analogies to the Einstein-Cartan Theory of Gravitation.- Twistors as Spin and Twist Solitons.- Potentials in Asymmetric Continuum: Approach to Complex Relativity.