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Modelling of Fracture Processes Occurring in the Focal Zone of a Tectonic Earthquake

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Book cover Computational Mechanics ’86

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Summary

The fracture processes in the focal zone of a tectonic earthquake are modelled by means of system of complex curvilinear ruptures, moving discontinuously in time and space. The method of functionally invariant solutions of wave equations and superposition principle are used in this paper to obtain the exact analytical solutions for the system of complex ruptures propagating with piecewise constant velocity along curved and branching paths. The limiting transition which enables to find from the solution obtained the solution for fracture propagation with variable velocities along smooth curved paths and detailed analysis of stress intensity factors are given. The paper presents the analysis of theoretical seismograms calculated for curvilinearly propagating and branching ruptures which consist of alternating elements with normal and tangent components of displacement vector at the rupture.

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References

  1. Bykovtsev, A.S.: Some problems of the dynamic theory of dislocation ruptures and their seismological application. Thesis of Master degree dissertation. Moscow (1979) 1–21.

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  2. Bykovtsev, A.S.; Cherepanov, G.P.: On one model of tectonic earthquake source. Dokl.Akad.Nauk.SSSR. 251 (1980) 1353–1356.

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  3. Bykovtsev, A.S.; Cherepanov, G.P.: On the earthquake source modelling. J. Appl. Math. Mech. 44 (1980) 557–564.

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  4. Bykovtsev, A.S.: On wave field created by propagating dislocation ruptures.”Experimental Seismology in Uzbekistan” Tashkent, Fan Publishers, (1983) 171–193.

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  5. Bykovtsev, A.S.; Cherepanov,G.P.: Dynamic growth of curvilinear ruptures at variable speed. In “Adv. Fract. Res. Proc. 6th Int. Conf. Fract. (ICF 6), New Delhi, 4–10 Dec. 1984, vol. 5”. Oxford e.a. 3159–3166.

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Authors and Affiliations

  1. Institute of Seismology, UzSSR Academy of Sciences, Khurshid St. 3, 700128, Tashkent, USSR

    A. S. Bykovtsev

Authors
  1. A. S. Bykovtsev
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Editors and Affiliations

  1. Department of Nuclear Engineering, The University of Tokyo, 3-1, Hongo 7-chome, Bunkyo-ku, Tokyo 113, Japan

    Genki Yagawa

  2. Center for the Advancement of Computational Mechanics, School of Civil Engineering, Georgia Institute of Technology, 225, North Avenue, Atlanta, GA, 30332, USA

    Satya N. Atluri

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© 1986 Springer Japan

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Bykovtsev, A.S. (1986). Modelling of Fracture Processes Occurring in the Focal Zone of a Tectonic Earthquake. In: Yagawa, G., Atluri, S.N. (eds) Computational Mechanics ’86. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68042-0_94

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  • DOI: https://doi.org/10.1007/978-4-431-68042-0_94

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-68044-4

  • Online ISBN: 978-4-431-68042-0

  • eBook Packages: Springer Book Archive

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