Browsing Mathematical Modelling of Structures, Solids and Fluids by Author "Movchan, Alexander"

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Browsing Mathematical Modelling of Structures, Solids and Fluids by Author "Movchan, Alexander"

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  • Avila-Pozos, Orlando; Mishuris, Gennady; Movchan, Alexander (2010-09-01)
    A bi-material waveguide is assumed to have an array of sufficiently long cracks parallel to the boundaries. The Bloch–Floquet waves propagating along such a waveguide are dispersive, and the band gaps are clearly identified. ...
  • Movchan, Natasha; Movchan, Alexander; Mishuris, Gennady (2011-09-06)
    An interfacial crack is placed within a two-phase elastic strip subjected to an out-of-plane loading. In the unperturbed state, the crack propagates with a constant speed V along the interface. The Dirichlet boundary ...
  • Mishuris, Gennady; Movchan, Natasha; Movchan, Alexander; Piccolroaz, Andrea (2012-05-14)
    The interaction of an interfacial crack with small impurities is analysed on the basis of an asymptotic formula derived by the authors. The interaction between the main crack and the defects (e.g. small cracks or inclusions) ...
  • Piccolroaz, Andrea; Movchan, Natasha; Movchan, Alexander; Mishuris, Gennady (2012-10-31)
    We consider the quasi-static propagation of a Mode III crack along the interface in a bimaterial plane containing a finite array of small line defects (microcracks and rigid line inclusions). The microdefects are arranged ...
  • Mishuris, Gennady; Movchan, Natasha; Movchan, Alexander; Piccolroaz, Andrea (2012-01-14)
    The paper addresses the problem of a Mode III interfacial crack advancing quasi-statically in a heterogeneous composite material, that is a two-phase material containing elastic inclusions, both soft and stiff, and defects, ...
  • Piccolroaz, Andrea; Movchan, Alexander; Mishuris, Gennady (2011-09-06)
    We consider the perturbation problem of a Mode III interfacial crack. The perturbation is of geometrical type and can be both perturbation of the crack faces and perturbation of the interface, which can deviate from the ...

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