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  • spectral method  (2)
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    International journal of fracture 93 (1998), S. 13-38 
    ISSN: 1573-2673
    Keywords: Dynamic fracture ; spectral method ; interface ; boundary integral method.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract We present a numerical scheme specially developed for 2D and 3D dynamic debonding problems. The method, referred to as spectral scheme, allows for a precise modeling of stationary and/or spontaneously expanding interfacial cracks of arbitrary shapes and subjected to an arbitrary combination of time- and space-dependent loading conditions. It is based on a spectral representation of the elastodynamic relations existing between the displacement components along the interface plane and the corresponding dynamic stresses. A general stress-based cohesive failure model is introduced to model the spontaneous progressive failure of the interface. The numerical scheme also allows for the introduction of a wide range of contact relations to model the possible interactions between the fracture surfaces. Simple 2D problems are used to investigate the accuracy and stability of the proposed scheme. Then, the spectral method is used in various 2D and 3D interfacial fracture problems, with special emphasis on the issue of the limiting speed for a spontaneously propagating debonding crack in the presence of frictional contact.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    International journal of fracture 85 (1997), S. 265-282 
    ISSN: 1573-2673
    Keywords: Dynamic fracture ; spectral method ; interface ; boundary integral method.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract We present an efficient numerical scheme specially developed to simulate a wide variety of dynamic debonding problems under anti-plane shear loading conditions. The algorithm is based on an exact spectral representation of the elastodynamic relations between the interface stresses and displacements. It involves an explicit time stepping scheme with, for each time step, the use of FFT to link the spatial and spectral domains, and the computation of a convolution over the past displacement or velocity history. Two versions of the spectral algorithm are presented: in the first one, the elastodynamic response of each half space is investigated separately before the two solutions are linked with the aid of the interface continuity conditions. In the second approach, the interface conditions and the modulus mismatch are combined in a single bimaterial elastodynamic relation. Various problems involving stationary or rapidly moving interfacial cracks are investigated and contrasted with existing analytical results.
    Type of Medium: Electronic Resource
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