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Physics of basic motions in asymmetric continuum

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Języki publikacji
EN
Abstrakty
EN
We consider the advantages of a formalism based on concept of the asymmetric continuum and we present some equivalence theorems relating it to the asymmetric elasticity and to micropolar and micromorphic theories as founded by Nowacki, Cosserats and Eringen. We consider the basic processes in an asymmetric continuum which could be reduced to the point basic motions/deformations. The coaction of spin and shear motions is assumed to play the main role in fracturing process, while the constitutive relation between the antisymmetric stresses and rotations replaces the friction constitutive law.
Czasopismo
Rocznik
Strony
119--132
Opis fizyczny
Twórcy
autor
autor
  • Institute of Geophysics, Polish Academy of Sciences ul. Księcia Janusza 64, 01-452 Warszawa, Poland, rt@igf.edu.pl
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", Springer, Berlin, 57-66.
  • Cosserat, E., and F. Cosserat, 1909, Theorie des Corps Déformables, A. Hermann, Paris. Eringen, A.C., 1999, Microcontinuum Field Theories, Springer, Berlin.
  • Ivanchin, A.G., 1994, Spherical asymmetric solution for point defect, J. Mater. Sci. Technol. 10, 386-388.
  • Ivanchin, A.G., 2007, Nonpotential vertical solution of the task about electron. In: E.E. Milanovsky (ed.), "Rotational Processes in Geology and Physics", KomKniga, Moscow, 211-218 (in Russian).
  • 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", Springer, Berlin, 413-438.
  • Kocks, U.F., A.S. Argon and M.F. Ashby, 1975, Thermodynamics and Kinetics of Slip, Pergamon Press, Oxford-New York, 288 pp.
  • Kossecka, E., and R. DeWitt, 1977, Disclination kinematics, Arch. Mech. 29, 633-651.
  • Kröner, E., 1981, Continuum theory of defects. In: R. Balian, M. Kléman and J.P. Poirer (eds.), "Les Houches, Session XXXV, 1980, Physics of defects", North Holland Pub. Comp., Amsterdam.
  • 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", Springer, Berlin, 439-450.
  • Nagahama, H., and R. Teisseyre, 2001, Seismic rotation waves: dislocations and disclinations in a micromorphic continuum, Acta Geophys. Pol. 49, 1, 120-129.
  • Nowacki, W., 1986, Theory of Asymmetric Elasticity, PWN-Warszawa and Pergamon Press-Oxford, 383 pp.
  • Schreiber, K.U., G.F. 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", Springer, Berlin, 377-390.
  • Shimbo, M., 1975, A geometrical formulation of asymmetric features in plasticity, Bull. Fac. Eng., Hokkaido Univ. 77, 155-159.
  • Shimbo, M., 1995, Non-Riemannian geometrical approach to deformation and friction. In: R. Teisseyre (ed.), "Theory of Earthquake Premonitory and Fracture Processes", PWN, Warszawa, 520-528.
  • Shimbo, M., and M. Kawaguchi, 1976, A note on the asymmetric fields, Bull. Fac. Eng., Hokkaido Univ. 80, 75-79 (in Japanese).
  • 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", Springer, Berlin, 157-167.
  • Teisseyre, R., 1974, Symmetric micromorphic continuum: wave propagation, point source solution and some applications to earthquake source processes. In: Thoft-Chritensen (ed.), "Continuum Mechanics Aspects of Geodynamics and Rock Fracture Mechanics", D. Reidel Publ. Comp., Dordrecht-Holland, 201-244.
  • Teisseyre, R., 2002, Continuum with defect and self-rotation nuclei, Acta Geophys. Pol. 50, 1, 51-68.
  • Teisseyre, R., 2003, Earthquake processes in a micromorphic continuum, Pure Appl. Geophys. 102, 15-28.
  • 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 W. Boratyński, 2006, Deviations from symmetry and elasticity: asymmetric continuum mechanics. In: R. Teisseyre, M. Takeo and E. Majewski (eds.), "Earthquake Source Asymmetry, Structural Media and Rotation Effects", Springer, Berlin, 29-42.
  • 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., J. Suchcicki, K.P. Teisseyre, J. Wiszniowski and P. Palangio, 2003, Seismic rotation waves: basic elements of the theory and recording, Annals of Geophysics 46, 671-685.
  • 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, 582 pp.
  • Teisseyre, R., M. Białecki and M. Górski, 2006b, Degenerated asymmetric continuum theory. In: R. Teisseyre, M. Takeo and E. Majewski (eds.), "Earthquake Source Asymmetry, Structural Media and Rotation Effects", Springer, Berlin, 43-56.
  • Teisseyre, R., M. Górski and K.P. Teisseyre, 2006c, Fracture-band geometry and rotation energy release. In: R. Teisseyre, M. Takeo and E. Majewski (eds.), "Earthquake Source Asymmetry, Structural Media and Rotation Effects", Springer, Berlin, 169-183.
  • Voigt, W., 1887, Theoretische Studien über die Elastizitätsverhältnisse der Krystalle. I, II. Abh. der Königl. Ges. der Wiss., Göttingen, 34.
  • 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", Springer, Berlin, 451-468.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSL7-0021-0013
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