Modeling of fan formation in a shear rupture head on the basis of singular solutions of plane elasticity

B. G. Tarasov, V. M. Sadovskii

    Research output: Chapter in Book/Conference paperConference paper

    1 Citation (Scopus)

    Abstract

    Mathematical model of the equilibrium fan-structure formation between two elastic half-planes is constructed, simulating a shear rupture at stress conditions of seismogenic depths. The stress-strain state far from the fan-structure is analyzed with the help of solution of the problem on the Volterra edge dislocation resulted in estimation of the fan length. The model of formation of two differently directed fans due to the localized action of tangential stress, which pushes two edge dislocations with the antiparallel Burgers vectors, is proposed and analysed.

    Original languageEnglish
    Title of host publicationApplication of Mathematics in Technical and Natural Sciences: 8th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2016
    EditorsM.D Todorov
    PublisherAmerican Institute of Physics
    Pages080006 - 1 to 080006 - 7
    Number of pages160002
    Volume1773
    ISBN (Electronic)9780735414310, 1551-7616
    ISBN (Print)9780735414310
    DOIs
    Publication statusPublished - 13 Oct 2016
    Event8th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2016 - Albena, Bulgaria
    Duration: 22 Jun 201627 Jun 2016

    Conference

    Conference8th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2016
    CountryBulgaria
    CityAlbena
    Period22/06/1627/06/16

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  • Cite this

    Tarasov, B. G., & Sadovskii, V. M. (2016). Modeling of fan formation in a shear rupture head on the basis of singular solutions of plane elasticity. In M. D. Todorov (Ed.), Application of Mathematics in Technical and Natural Sciences: 8th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2016 (Vol. 1773, pp. 080006 - 1 to 080006 - 7). [080006] American Institute of Physics. https://doi.org/10.1063/1.4964990