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

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

Part One Introduction to Asymmetric Continuum and Experimental Evidence of Rotation Motions
Chapter 1 Introduction to Asymmetric Continuum: Fundamental Point Deformations
Chapter 2 Measurement of Short-Period Weak Rotation Signals
Chapter 3 Buildings as Sources of Rotational Waves
Chapter 4 Two-Pendulum Systems for Measuring Rotations
Chapter 5 Theory and Observations: Some Remarks on Rotational Motions
Part Two Continuum with Defect Densities and Asymmetry of Fields
Chapter 6 Field Invariant Representation: Dirac Tensors
Chapter 7 Asymmetric Continuum: Standard Theory
Chapter 8 Fracture Processes: Spin and Twist-Shear Coincidedce
Chapter 9 Inplane and Antiplane Fracturing in a Multimode Random Sequence
Chapter 10 Charged Dislocations and Various Sources of Electric Field Excitation
Chapter 11 Friction and Fracture Induced Anisotropy: Asymmetric Stresses
Chapter 12 Asymmetric Fluid Dynamics: Extreme Phenomena
Chapter 13 Fracture Band Thermodynamics
Chapter 14 Interaction Asymmetric Continuum Theory
Chapter 15 Fracture Physics Based on a Soliton Approach
Chapter 16 Canonical Approach to Asymmetric Continua
Part Three Deformations in Riemannian Geometry
Chapter 17 Continuum Theory of Defects: Advanced Approaches
Chapter 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
Chapter 19 Twistors as Spin and Twist Solitons
Chapter 20 Potentials in Asymmetric Continuum: Approach to Complex Relativity