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Tytuł artykułu

Introduction to asymmetric continuum: dislocations in solids and extreme phenomena in fluids

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Wybrane pełne teksty z tego czasopisma
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Języki publikacji
EN
Abstrakty
EN
We present a new approach to the continuum theories: for solids, our version includes the asymmetric stresses, symmetric strains and antisymmetric rotations, while for fluids we take the similar assumptions but related to the respective time rates of these fields. We consider the constitutive relations and the balance laws: those related to the antisymmetric stresses are equivalent and substitute the required relations for the angular moment; a similar approach with rates of these fields is applied for fluids. The stress-dislocation relations are derived and the role of rotation motions in the fracture processes in solids is studied. A new theory of the extreme motion phenomena in fluids is developed.
Czasopismo
Rocznik
Strony
259--269
Opis fizyczny
Twórcy
autor
  • Instytut Geofizyki Polskiej Akademii Nauk ul. Ks. Janusza 64 01-452 Warszawa tel.: (0-22) 6915950, rt@igf.edu.pl
Bibliografia
  • Boratyński, W., and R. Teisseyre (2006), Continuum with rotation nuclei and defects: dislocations and disclination fields. In: R. Teisseyre, M. Takeo, and E. Majewski (eds.), Earthquake Source Asymmetry, Structural Media and Rotation Effect, Springer, Berlin, 57-66.
  • Cosserat, E., and F. Cosserat (1909), Theorie des Corps Deformables, Herman, Paris.
  • Eringen, A.C. (1999), Microcontinuum Field Theories, Springer, Berlin.
  • Eringen, A.C., and E.S. Suhubi (1964), Non-linear theory of simple micro-elastic solids - I, Int. J. Engng. Sci. 2, 189-203.
  • Kossecka, E., and R. DeWitt (1977), Disclination kinematic, Arch. Mech. 29, 633-651.
  • Kröner, E. (1982), Continuum theory of defects. In: Balian et al. (eds.), Les Houches, Session XXXV, 1980, Physique des Defaults / Physics of Defects, North Holland Publ. Comp., Dordrecht.
  • Nowacki, W. (1986), Theory of Asymmetric Elasticity, PWN - Warszawa, and Pergamon Press - Oxford, 383 pp.
  • 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.
  • Teisseyre, R., and W. Boratyński (2003), Continua with self-rotation nuclei: evolution of asymmetric fields, Mech. Res. Commun. 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, 31-42.
  • Teisseyre, R., and M. Górski (2007), Fundamental Deformations in Asymmetric Continuum: Motions and Fracturing; Lecture presented at the I Int. Workshop on Rotation Seismology, 15-17 Oct., Menlo Park, US (prepared for publication).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSL7-0025-0004
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