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Thermodynamics with rotation motions: Fragmentation and slip

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Basing on the Asymmetric Continuum Theory, we develop the thermodynamics including fragmentation spin fracture processes; applications for the earthquake source processes are considered. The fracture band model is used to describe a dislocation and disclination superlattice. The Gibbs free energy of defect formation is specified. A dynamic spin fracture criterion was formulated. Consequently, a dynamic model of rock fracture employing dislocations, disclinations, and cracks was constructed to describe slip and fragmentation fracture processes in the earthquake sources.
Czasopismo
Rocznik
Strony
281--310
Opis fizyczny
Bibliogr. 42 poz.
Twórcy
autor
autor
  • Institute of Geophysics, Polish Academy of Sciences, Warszawa, Poland, emaj@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-Verlag, Heidelberg-Berlin, 57-66.
  • Kocks, U.F., A.S. Argon, and M.F. Ashby (1975), Thermodynamics and Kinetics of Slip, Pergamon Press, Oxford, 288 pp.
  • Kossecka, E., and R. DeWitt (1977), Disclination kinematic, Arch. Mech. 29, 633-651.
  • Kröner, E. (1981), Continuum theory of defects. In: R. Balian, M. Kléman, and J.P. Poirer (eds.), Physics of Defects (Les Houches, Session XXXV, 1980). North Holland, Amsterdam, 217-315.
  • Kuklińska, M. (1996), Thermodynamics of line defects: construction of a dislocation superlattice, Acta Geophys. Pol. 44, 237-249.
  • Majewski, E. (1986), Initiation of rock fracture at different strain rates: an attempt of modeling the mining tremor processes based on dynamic plasticity, Publs. Inst. Geophys. Pol. Acad. Sci., M-8 (191), 11-38 (in Polish).
  • Majewski, E. (1993), Thermodynamic approach to evolution. In: R. Teisseyre, L. Czechowski, and J. Leliwa-Kopystyński (eds.), Dynamics of Earth’s Evolution, Vol. 6, Ser. “Physics and Evolution of the Earth’s Interior”, PWN, Warszawa, Elsevier, Amsterdam.
  • Majewski, E. (1995), Thermal effects in earthquake processes. In: R. Teisseyre (ed.), Theory of Earthquake Premonitory and Fracture Processes, PWN, Warszawa, 591-604.
  • Majewski, E. (2001), Thermodynamics of fault slip. In: R. Teisseyre, and E. Majewski (eds.), Earthquake Thermodynamics and Phase Transformations in the Earth’s Interior, Vol. 76, Ser. “International Geophysics”, Academic Press, San Diego, 323-327, DOI: 10.1016/S0074-6142(01)80089-9.
  • Majewski, E., and R. Teisseyre (1997), Earthquake thermodynamics, Tectonophysics 277, 1-3, 219-233, DOI: 10.1016/S0040-1951(97)00088-7.
  • Majewski, E., and R. Teisseyre (1998), Anticrack-associated faulting in deep subduction zones, Phys. Chem. Earth 23, 1115-1122, DOI: 10.1016/S0079-1946(98)00138-4.
  • Majewski, E., and R. Teisseyre (2001), Anticrack-associated faulting and superplastic flow in deep subduction zones. In: R. Teisseyre, and E. Majewski (eds.), Earthquake Thermodynamics and Phase Transformations in the Earth’s Interior, Vol. 76, Ser. “International Geophysics”, Academic Press, San Diego, 379-397, DOI: 10.1016/S0074-6142(01)80092-9.
  • Mróz, Z., and M. Angellilo (1982), Rate-dependent degradation model for concrete and rock. In: R. Dungar (ed.), Proc. Int. Symp. on Numerical Models in Geomechanics, 13-17 September 1982, Zurich, Elsevier, Amsterdam, 208-217.
  • Mróz, Z., and E. Majewski (1989), Dynamic model of damage of coal and of some rocks for specification of rock burst mechanisms, Arch. Mining Sci. 34, 65-95 (in Polish).
  • Prigogine, I. (1976), Thermodynamics of Irreversible Processes, 3rd ed., John Wiley and Sons, New York.
  • Roux, S., and E. Guyon (1985), Mechanical percolation: a small beam lattice study, J. Phys. Lett. (Paris) 46, 21, 999-1004, DOI: 10.1051/jphyslet:019850046021099900.
  • Shimbo, M. (1975), A geometrical formulation of asymmetric features in plasticity, Bull. Fac. Eng. Hokkaido Univ. 77, 155-159.
  • Teisseyre, K. (2011), Spin and twist motions in the earthquake preparation processes: Analysis of records, Acta Geophys. 59, 1, 5-28, DOI: 10.2478/s11600-010-0011-z.
  • Teisseyre, R. (1969), Dislocational representation of thermal stresses, Acta Geophys. Pol. 16, 3-12.
  • Teisseyre, R. (1970), Crack formation and energy release caused by the concentration of dislocations along fault planes, Tectonophysics 9, 6, 547-557, DOI: 10.1016/0040-1951(70)90005-3.
  • Teisseyre, R. (1996), Shear band thermodynamical earthquake model, Acta Geophys. Pol. 44, 3, 219-236.
  • Teisseyre, R. (1997), Shear band thermodynamical model of fracturing with a compressional component. In: S. Gibowicz, and S. Lasocki (eds.), Rockburst and Seismicity in Mines, Balkema, Rotterdam, Brookfield, 17-21.
  • Teisseyre, R. (2001), Shear band thermodynamic model of fracturing. In: R. Teisseyre, and E. Majewski (eds.), Earthquake Thermodynamics and Phase Transformations in the Earth’s Interior, Academic Press, San Diego, 279-292.
  • Teisseyre, R. (2008a), Introduction to asymmetric continuum: dislocations in solids and extreme phenomena in fluids, Acta Geophys. 56, 2, 259-269, DOI: 10.2478/s11600-008-0010-5.
  • Teisseyre, R. (2008b), Asymmetric continuum: standard theory. In: R. Teisseyre, H. Nagahama, and E. Majewski (eds.), Physics of Asymmetric Continuum: Extreme and Fracture Processes: Earthquake Rotation and Soliton Waves, Springer-Verlag, Berlin-Heidelberg, 95-109.
  • Teisseyre, R. (2009), Tutorial on new developments in the physics of rotational motions, Bull. Seismol. Soc. Am. 99, 2B, 1028-1039, DOI: 10.1785/0120080089.
  • Teisseyre, R. (2010), Fluid theory with asymmetric molecular stresses: Difference between vorticity and spin equations, Acta Geophys. 58, 6, 1056-1071, DOI: 10.2478/s11600-010-0029-2.
  • Teisseyre, R., and W. Boratyński (2006), Deviations from symmetry and elasticity: asymmetric continuum mechanics. In: R. Teisseyre, M Takeo, and E. Majewski (eds.), Physics of Asymmetric Continuum: Extreme and Fracture Processes: Earthquake Rotation and Soliton Waves, Springer-Verlag, Berlin-Heidelberg, 31-41.
  • Teisseyre, R., and M. Górski (2009), Fundamental deformations in asymmetric continuum, Bull. Seismol. Soc. Am. 99, 2B, 1132-1136, DOI: 10.1785/0120080091.
  • Teisseyre, R., and M. Górski (2011), Earthquake fragmentation and slip processes: spin and shear-twist wave mosaic, Acta Geophys. 59, 3, 453-469, DOI: 10.2478/s11600-011-0001-9.
  • Teisseyre, R., and M. Górski (2012), Induced strains and defect continuum theory: internal reorganization of Load, Acta Geophys. 60, 1, 24-42, DOI: 10.2478/s11600-011-0046-9.
  • Teisseyre, R., and E. Majewski (1990), Thermodynamics of line defects and earthquake processes, Acta Geophys. Pol. 38, 4, 355-373.
  • Teisseyre, R., and E. Majewski (1995a), Thermodynamics of line defects. In: R. Teisseyre (ed.), Theory of Earthquake Premonitory and Fracture Processes, PWN, Warszawa, 324-332.
  • Teisseyre, R., and E. Majewski (1995b), Earthquake thermodynamics. In: R. Teisseyre (ed.), Theory of Earthquake Premonitory and Fracture Processes, PWN, Warszawa, 586-590.
  • Teisseyre, R., and E. Majewski (2001a), Thermodynamics of line defects and earthquake thermodynamics. In: R. Teisseyre, and E. Majewski (eds.), Earthquake Thermodynamics and Phase Transformations in the Earth’s Interior, Academic Press, San Diego, 261-278.
  • Teisseyre, R., and E. Majewski (2001b), Physics of earthquakes. In: W.H.K. Lee, H. Kanamori, and P.C. Jennings (eds.), International Handbook of Earthquake and Engineering Seismology, Academic Press, San Diego.
  • Teisseyre, R., M. Białecki, and M. Górski (2006a), Degenerated asymmetric continuum theory. In: R. Teisseyre, M. Takeo, and E. Majewski (eds.), Physics of Asymmetric Continuum: Extreme and Fracture Processes: Earthquake Rotation and Soliton Waves, Springer-Verlag, Berlin-Heidelberg, 43-55.
  • Teisseyre, R., M. Górski, and K.P. Teisseyre (2006b), Fracture-band geometry and rotation energy release. In: R. Teisseyre, M. Takeo, and E. Majewski (eds.), Physics of Asymmetric Continuum: Extreme and Fracture Processes: Earthquake Rotation and Soliton Waves, Springer-Verlag, Berlin-Heidelberg, 169-183.
  • Teisseyre, R., M. Górski, and K.P. Teisseyre (2008), Fracture processes: spin and twist-shear coincidence. In: R. Teisseyre, H. Nagahama, and E. Majewski (eds.), Physics of Asymmetric Continuum: Extreme and Fracture Processes: Earthquake Rotation and Soliton Waves, Springer-Verlag, Berlin-Heidelberg, 111-122.
  • Varotsos, P.A. (2007), Comparison of models that interconnect point defect parameters in solids with bulk properties, J. Appl. Phys. 101, Art Nr. 123503.
  • Varotsos, P.A., and K.D. Alexopoulos (1986), Thermodynamics of Point Defects and Their Relation with Bulk Properties, North-Holland, Amsterdam, 474 pp.
  • Varotsos, P., and M. Lazaridou (2001), Thermodynamics of point defects. In: R. Teisseyre, and E. Majewski (eds.), Earthquake Thermodynamics and Phase Transformations in the Earth’s Interior, Vol. 76, Ser. “International Geophysics”, Academic Press, San Diego, 231-259, DOI: 10.1016/S0074-6142(01)80084-X.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSL1-0025-0020
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