Defect Densities

  • Roman Teisseyre
  • Maria Teisseyre-Jeleńska
Part of the GeoPlanet: Earth and Planetary Sciences book series (GEPS)


In solids an important role in the fracture processes is played by the defect densities; the defects reorganize the applied stress load and may form a special kind of defect-related anisotropy. There appears an important influence of the defect densities on the formation of micro-fractures and fragmentation processes. From the solution for edge dislocations we learn about the necessity to account for an asymmetry of stresses and strains. The defects and the induced stresses appear also due to the human activity, e.g., in the mining regions and water dam areas. In the theory of dislocations and dislocation arrays there appear relations between the defect densities and strains. The defect densities relate to the derivatives of strain fields; we present the appropriate relations for the asymmetric effects introduced in the frame of our Asymmetric Theory. Due to an influence of the dislocation density distribution, related to processes appearing at the extrema of densities, we...


Defect Density Edge Dislocation Black Body Radiation Internal Defect Defect Distribution 
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  1. Boratyński W, Teisseyre R (2006) Continuum with rotation nuclei and defects: dislocations and disclination fields. In: Teisseyre R, Takeo M, Majewski E (eds) Earthquake source asymmetry, structural media and rotation effects. Springer, Berlin, pp 57–66CrossRefGoogle Scholar
  2. Chelidze T, Matcharashvili T, Lursmanashvili O, Varamashvili N, Zhukova E, Meparidze E (2010) Triggering and synchronization of stick-sip: experiments on spring-slider system. In: De Rubeis V, Czechowski Zb, Teisseyre R (eds) Synchronization and triggering: from fracture to earthquake processes. Springer, Berlin, pp 123–164CrossRefGoogle Scholar
  3. Eshelby JD, Frank FC, Nabarro FRN (1951) The equilibrium of linear arrays of dislocations. Philos Mag 42:351–364Google Scholar
  4. Holländer EF (1960) The basic equations of the continuous distribution of dislocations, I,II,III. Czech J Phys B 10:409–418 479–487, 551–558CrossRefGoogle Scholar
  5. Kossecka, E, DeWitt R (1977) Disclination kinematic. Arch Mech 29:633–651Google Scholar
  6. Rybicki K (1986) Dislocations and their geophysical applications. In: Teisseyre R (ed) Continuum theories in solid earth physics. Elsevier-PWN, Amsterdam-Warszawa, pp 18–186Google Scholar
  7. Teisseyre R (1980) Earthquake premonitory sequence – dislocation processes and fracturing. Boll Geofis Teor Appl 22:245–254Google Scholar
  8. Teisseyre R (1985) New earthquake rebound theory. Phys Earth Planet Inter 39:1–4CrossRefGoogle Scholar
  9. Teisseyre R (1990a) Earthquake rebound: energy release and defect density drop. Acta Geophys Pol XXXVIII(1):15–20Google Scholar
  10. Teisseyre R (1990b) Earthquake premonitory and rebound theory: synthesis and revision of principles. Acta Geophys Pol XXXVIII(3):269–278Google Scholar
  11. Teisseyre R (2008a) Introduction to asymmetric continuum: dislocations in solids and extreme phenomena in fluids. Acta Geophys 56:259–269CrossRefGoogle Scholar
  12. Teisseyre R (2008b) Asymmetric continuum: standard theory. In: Teisseyre R, Nagahama H, Majewski E (eds) Physics of asymmetric continua : extreme and fracture processes. Springer, Berlin, pp 95–109CrossRefGoogle Scholar
  13. Teisseyre R, Górski M (2012) Induced strains and defect continuum theory: internal reorganization of load. Acta Geophys 60(1):24–42CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Institute of GeophysicsPolish Academy of SciencesWarsawPoland

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