From non-local to asymmetric deformation field

Hiroyuki Nagahama, Roman Teisseyre

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)


Internal structures and discontinuities in the lithosphere have an essential influence on fracturing. Hence, it is reasonable to believe that the notion of continuum with microstructures can be a suitable tool in describing earthquake phenomena (Teisseyre 1973). Generalized micromorphic continuum is especially suitable for introducing microstructure (Suhubi and Eringen 1964). When the deformations imposed on a microstructural element favour its elongation rather than rotation during fracturing, the symmetric micromorphic continuum is suitable to our considerations on the role of microstructures in a seismic source zone (Teisseyre 1973, Nagahama and Teisseyre 2000, 2001). Takeo and Ito (1997) have discussed rotational effect by using continuous dislocation theories, which can be connected with the theory of micromorphic continuum (Teisseyre 1973, 1974). Moreover, when friction motion along precuts occurs during earthquakes, it is better to use the asymmetric micromorphic continuum (similar to the micropolar mechanics: Teisseyre 1973, Shimbo 1978, Iesan 1981, Pasternak et al. 2003, 2004). For earthquakes, however, these theories have not been considered or unified using the concept of non-locality, asymmetry and inner -rotation of deformation. In this chapter, we will reconsider the continuum with microstructures taking into account the concepts of non-locality, asymmetry and inner -rotation of deformation from the viewpoint of the differential geometry of high-order spaces. Then we will discuss relations between the earthquake phenomena and the continuum with microstructures, and between the characteristics of fractal patterns (faults or earthquakes) and the characteristic length of structure caused by macrodislocations and microdisclinations.

Original languageEnglish
Title of host publicationEarthquake Source Asymmetry, Structural Media and Rotation Effects
PublisherSpringer Berlin Heidelberg
Number of pages10
ISBN (Print)3540313362, 9783540313366
Publication statusPublished - 2006 Dec 1

ASJC Scopus subject areas

  • Environmental Science(all)
  • Earth and Planetary Sciences(all)


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