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Physics of Asymmetric Continuum: Extreme and Fracture Processes - Earthquake Rotation and Soliton Waves (Hardcover, 2008 ed.)
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Physics of Asymmetric Continuum: Extreme and Fracture Processes - Earthquake Rotation and Soliton Waves (Hardcover, 2008 ed.)
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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.
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