Asymmetric Continuum and Anisotropy

• Autorzy: Teisseyre R.
• Języki publikacji: EN

Abstrakty

EN

We present a relation between stress moments and antisymmetric part of stresses and the related constitutive law joining those stresses with the particle/point rotations. Correspondence of the asymmetric continuum theory to the micromorphic theory is considered. An extension of the asymmetric continuum theory for the case of 2D anisotropy for antisymmetric stresses leads us to the problems of friction ani-sotropy and fracture pattern.

Słowa kluczowe

EN

asymmetric stresses; spin and twist motion; friction anisotropy

• Wydawca: Instytut Geofizyki PAN ; Springer
• Czasopismo: Acta Geophysica
• Rocznik: 2006
• Tom: Vol. 54, no. 3
• Strony: 225--238

Twórcy

autor

Teisseyre R.

• Institute of Geophysics, Polish Academy of Sciences ul. Księcia Janusza 64, 01-452 Warszawa, Poland,

Bibliografia

• Boratyński, W., and R. Teisseyre, 2006, Continuum with rotation nuclei and defects: dislocation and disclination densities. In: R. Teisseyre, M. Takeo and E. Majewski (eds.), "Earthquake Source Asymmetry, Structural Media and Rotation Effects", 57-66, Springer, Berlin-Heidelberg-New York.
• Eringen, A.C., 1999, Microcontinuum Field Theories, Springer, Berlin. Jaroszewicz, L.R., Z. Krajewski and L. Solarz, 2006, Absolute rotation measurement based on the Sagnac effect. In: R. Teisseyre, M. Takeo and E. Majewski (eds.), "Earthquake Source Asymmetry, Structural Media and Rotation Effects", 413-438, Springer,
• Berlin-Heidelberg-New York.
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• Moriya, T., and R. Teisseyre, 2006, Design of rotation seismometer and non-linear behaviour of rotation components of earthquakes. In: R. Teisseyre, M. Takeo and E. Majewski (eds.), "Earthquake Source Asymmetry, Structural Media and Rotation Effects", 439-450, Springer, Berlin-Heidelberg-New York.
• Schreiber, K.U., G.E. Stedman, H. Igel and A. Flaws, 2006, Ring laser gyroscopes as rotation sensors for seismic wave studies. In: R. Teisseyre, M. Takeo and E. Majewski (eds.),"Earthquake Source Asymmetry, Structural Media and Rotation Effects", 377-390, Springer, Berlin-Heidelberg-New York.
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• Takeo, M., 2006, Ground rotational motions recorded in near-source region of earthquakes. In: R. Teisseyre, M. Takeo and E. Majewski (eds.), "Earthquake Source Asymmetry, Structural Media and Rotation Effects", 157-167, Springer, Berlin-Heidelberg-New York.
• Teisseyre, R., 1955, Optico-geometrical approximation for seismic waves in non-homogeneous media, Acta Geophys. Pol. 3, 161-166.
• Teisseyre, R., 2001, Evolution, propagation and diffusion of dislocation fields. In: R. Teisseyre and E. Majewski (eds.), "Earthquake thermodynamics and phase transformations in the earth's interior", 167-198, Academic Press, San Diego.
• Teisseyre, R., 2002, Continuum with defect and self-rotation nuclei, Acta Geophys. Pol. 50, 1, 51-68.
• Teisseyre, R., 2004, Spin and twist motions in a homogeneous elastic continuum and crossband geometry of fracturing, Acta Geophys. Pol. 52, 2, 173-183.
• Teisseyre, R., 2005, Asymmetric continuum mechanics: Deviations from elasticity and symmetry, Acta Geophys. Pol. 53, 2, 115-126.
• Teisseyre, R., and W. Boratyński, 2003, Continua with self-rotation nuclei: evolution of asymmetric fields, Mech. Res. Com. 30, 235-240.
• Teisseyre, R., and T. Yamashita, 1999, Splitting stress motion equation into seismic wave and fault-related fields, Acta Geophys. Pol. 47, 1, 135-147.
• Teisseyre, R., M. Białecki and M. Górski, 2005, Degenerated mechanics in homogeneous continuum: Potentials for spin and twist, Acta Geophys. Pol. 53, 3, 219-231.
• Teisseyre, R., M. Takeo and E. Majewski (eds.), 2006a, Earthquake Source Asymmetry, Structural Media and Rotation Effects, Springer, Berlin-Heidelberg-New York, 582 pp.
• Teisseyre, R., M. Górski and K.P. Teisseyre, 2006b, Fracture-band geometry and rotation energy relase. In: "Earthquake Source Asymmetry, Structural Media and Rotation Effects", 169-184, Springer, Berlin-Heidelberg-New York.
• Wiszniowski, J., 2006, Rotation and twist motion recording - couple pendulum and rigid seismometers system. In: R. Teisseyre, M. Takeo and E. Majewski (eds.), "Earthquake Source Asymmetry, Structural Media and Rotation Effects", 451-470, Springer, Berlin-Heidelberg-New York.
• Yajima, T., and H. Nagahama, 2006, Seismic ray theory for structural medium based on Kawaguchi and Finsler geometry. In: R. Teisseyre, M. Takeo and E. Majewski (eds.), "Earthquake Source Asymmetry, Structural Media and Rotation Effects", 329-336, Springer, Berlin-Heidelberg-New York.