Browsing Mathematical Modelling of Structures, Solids and Fluids by Title

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Browsing Mathematical Modelling of Structures, Solids and Fluids by Title

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  • Contact Problem For Thin Biphasic Cartilage Layers: Perturbation Solution 
    Mishuris, Gennady; Argatov, Ivan (2012-05-21)
    A three-dimensional unilateral contact problem for articular cartilage layers is considered in the framework of the biphasic cartilage model. The articular cartilages bonded to subchondral bones are modelled as biphasic ...
  • Contraction/expansion flows: The pressure drop and related issues 
    Phillips, P. M.; Binding, David M.; Philips, T. N. (2006-08-30)
    This paper is concerned primarily with the numerical prediction of the pressure field associated with the flow of an Oldroyd-B fluid through 4:1 contractions, 1:4 expansions and combined 4:1:4 contraction/expansions. ...
  • The Couette shear of foams - a summary 
    Wyn, Aled (Unknown Publisher, 2008-02-11)
    Here we present a summary, in the form of a table, of the literature concerning the shearing of foams.
  • Coupled FEM-BEM approach for axisymetrical heat transfer problems 
    Mishuris, Gennady; Wrobel, M. (2009-10-26)
    This work deals with a stationary axisymmetrical heat transfer problem in a combined domain. This domain consists of half-space joined with a bounded cylinder. An important feature of the problem is the possible flux ...
  • Crack in a lattice waveguide 
    Movchan, Alexander B.; Mishuris, Gennady; Slepyan, Leonid I. (2009)
    We consider some structures where the harmonic ‘feeding’ wave localized at the crack faces can force the crack to grow. First, we present some results related to a lattice with a high-contrast layer, where the wave speed ...
  • Crack redirection with thermal secondary loading 
    Linkov, A. M.; Mishuris, Gennady; Fradkin, L.; Dobroskok, A. (2007-07)
    In the current paper crack redirection due to a strategic placing of a heat source in the vicinity of a crack tip is studied. Analysis suggests that for PMMA and considered temperature range the only factor responsible for ...
  • Curvature in conformal mappings of 2D lattices and foam structure, 
    Mughal, A.; Weaire, D. (2009-12-31)
  • Cyclic deformation of bidisperse two-dimensional foams 
    Vaz, M. Fátima; Cox, S. J.; Teixeira, P. I. C. (2011-11-01)
    In-plane deformation of foams was studied experimentally by subjecting bidisperse foams to cycles of traction and compression at a prescribed rate. Each foam contained bubbles of two sizes with given area ratio and one of ...
  • Deformation of a free interface pierced by a tilted cylinder 
    Cox, Simon; Celestini, F.; Raufaste, C.; Kirstetter, G. (2012-11-07)
    We investigate the interaction between an infinite cylinder and a free fluid-fluid interface governed only by its surface tension. We study the deformation of an initially flat interface when it is deformed by the presence ...
  • Delamination of a bi-material strip by a steady-state interfacial crack 
    Mishuris, Gennady; Movchan, N. V. (2008)
    Steady-state moving Mode-III infinite interfacial crack along the perfect interface in a dissimilar strip is investigated. The crack position is not generally speaking symmetrical with respect to the strip surfaces. Both ...
  • Discrete rearranging disordered patterns: Prediction of elastic and plastic behaviour, and application to two-dimensional foams 
    Raufaste, Christophe; Marmottant, Phillippe; Cox, Simon; Graner, François (2010)
    We study the elasto-plastic behaviour of materials made of individual (discrete) objects, such as a liquid foam made of bubbles. The evolution of positions and mutual arrangements of individual objects is taken into account ...
  • Drainage induced convection rolls in foams 
    Cox, Simon; Hutzler, Stefan; Weaire, Denis; Janiaud, Eric (2007-11)
    Forced drainage describes the procedure in which liquid is added to a column of foam at a constant flow rate. For sufficiently high flow rates this results in a convective bubble motion, the symmetry of which depends on ...
  • Dynamical extraction of a single chain from a discrete lattice 
    Mishuris, G.; Movchan, Alexander B.; Slepyan, Leonid I. (2008-02-01)
    We consider a nontrivial anti-plane shear fracture problem for a double-crack configuration where the remote external load is applied to the extracted mass-spring chain and the displacement field is symmetric with respect ...
  • Dynamic mode-III interface crack in a bi-material strip 
    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 ...
  • Dynamics of a bridged crack in a discrete lattice 
    Movchan, Alexander B.; Slepyan, Leonid I.; Mishuris, Gennady (2008-05)
    The paper addresses a problem of partial fracture of a lattice by a propagating fault modelling a crack bridged by elastic fibres. It is assumed that the strength of bonds within the lattice alternates periodically, so ...
  • DYNAMICS OF A FAULT STEADILY PROPAGATING WITHIN A STRUCTURAL INTERFACE 
    Mishuris, G. S.; Movchan, A. B.; Bigoni, D. (2012)
    Analysis of propagation of a fault driven by a steadily moving shearing force through a structural interface reveals a channeling effect for the energy release. This effect implies that a steady-state solution for propagation ...
  • The dynamics of a topological change in a system of soap films 
    van der Net, Antje; Cox, Simon; Hutzler, Stefan; Weaire, Denis; Saadatfar, M. (2008-06-20)
    The study of soap films spanning wire frames continues to provide insight into both static and dynamic properties of foams. Experiments show that sufficiently small triangular faces shrink spontaneously, with their area ...
  • Effect of dipolar interactions for domain wall dynamics in magnetic thin films 
    Mughal, A.; Laurson, L.; Durin, G.; Zapperi, S. (2010-12-31)
    We study the effect of long-range dipolar forces on the dynamics and morphology of domain walls in magnetic thin films by numerical simulations of the spin-1 random-field Ising model. By studying the size distribution of ...
  • Effect of the number of shells on the pressure and energy of two-dimensional free bubble clusters 
    Vaz, M. F.; Graner, François; Teixeira, P. I. T.; Cox, Simon (2009-07-20)
    We have performed Surface Evolver simulations of two-dimensional hexagonal bubble clusters consisting of a central bubble of area λ surrounded by s shells or layers of bubbles of unit area. Clusters of up to twenty layers ...
  • Efficient pseudo-spectral solvers for the PKN model of hydrofracturing 
    Wrobel, Michal; Mishuris, Gennady (2013)
    In the paper, a novel algorithm employing pseudo-spectral approach is developed for the PKN model of hydrofracturing. The respective solvers compute both the solution and its temporal derivative. In comparison with ...

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