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  • elastic waves  (1)
  • infinite-dimensional systems  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Predicting the overall properties of composite materials with small-scale inclusions or cracks (1989)
    Springer
    Pure and applied geophysics 131 (1989), S. 551-576 
    Details
    ISSN: 1420-9136
    Keywords: Composite materials ; elastic waves ; cracked materials
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract This paper will summarise the present state of knowledge concerning the elastic and dissipative properties of composite materials in the long wavelength or static approximation. In this case the material, although containing numerous inclusions or cracks or other types of microstructure, can be regarded as a continuum. Established results are listed for the elastic parameters following a review of approximate and exact methods of their derivation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00876264
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    Paper (German National Licenses)
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  • 2
    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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