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  • 05. General::05.09. Miscellaneous::05.09.99. General or miscellaneous  (1)
  • creep  (1)
  • infinite-dimensional systems  (1)
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  • 1
    Electronic Resource
    Electronic Resource
    Instability in a delay-PDE model of earthquake occurrence (1991)
    Springer
    Journal of nonlinear science 1 (1991), S. 279-288 
    Details
    ISSN: 1432-1467
    Keywords: creep ; time-delays ; infinite-dimensional systems ; earthquakes ; 45K05 ; 73N10 ; 62MXX ; 91.30.Px. 05.40.+j ; 02.50.+s
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Summary Ductile deformation prior to brittle fracture in rocks causes fracture to take place with a time delay after the critical stress for fracture is reached, in the presence of an increasing load stress. We discuss the stability of a stochastic model of interactive earthquake occurrence under the influence of time delays resulting from the ductile process. A threshold for oscillatory behavior is found for large enough coupling and discrete time delays. The system is stable if the time delays are spread over a broad time interval, even for large coupling.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01238815
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    Paper (German National Licenses)
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  • 2
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    Noncausality of numerical models of dynamic fracture growth (2006)
    Details
    Publication Date: 2019-11-04
    Description: Discretization of the wave operator for purposes of solving problems in the dynamics of crack growth numerically, introduces noncausality associated with the nonlinearity of the fracture criterion at the edge of the crack, i.e. with an imperfect formulation of the fracture criterion in the discretized case. The noncausality can be attributed to jumps from one inertial coordinate system to another as successive particles at the edge of a digitized crack are triggered into motion. It is shown that there is an equivalent explanation in terms of the incompatibility of the short-range edge conditions and the long-range correlations of slip on the crack in the discretized case. The noncausal effects can lead to supersonic crack growth, and in some cases to infinite crack growth velocities. A proposal for amelioration of the problem is offered.
    Description: JCR Journal
    Description: open
    Keywords: nonlinearity ; fracture ; noncausality ; 05. General::05.09. Miscellaneous::05.09.99. General or miscellaneous
    Repository Name: Istituto Nazionale di Geofisica e Vulcanologia (INGV)
    Type: article
    Format: 2071370 bytes
    Format: application/pdf
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    PAPER (OA)
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