Micromorphic continuum and fractal fracturing in the lithosphere

H. Nagahama, R. Teisseyre

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)

Abstract

It seems that internal structures and discontinuities in the lithosphere essentially influence the lithospheric deformation such as faulting or earthquakes. The micromorphic continuum provides a good framework to study the continuum with microstructure, such as earthquake structures. Here we briefly introduce the relation between the theory of micromorphic continuum and the rotational effects related to the internal microstructure in epicenter zones. Thereafter the equilibrium equation, in terms of the displacements (the Navier equation) in the medium with microstructure, is derived from the theory of the micromorphic continuum. This equation is the generalization of the Laplace equation in terms of displacements and can lead to Laplace equations such as the local diffusion-like conservation equations for strains. These local balance/stationary state of strains under the steady non-equilibrium strain flux through the plate boundaries bear the scale-invariant properties of fracturing in the lithospheric plate with microstructure.

Original languageEnglish
Pages (from-to)559-574
Number of pages16
JournalPure and Applied Geophysics
Volume157
Issue number4
DOIs
Publication statusPublished - 2000

Keywords

  • Earthquakes
  • Faults
  • Fractals
  • Micromorphic continuum
  • Rotational wave

ASJC Scopus subject areas

  • Geophysics
  • Geochemistry and Petrology

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