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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  • Cox, Simon; Kafer, J.; Rabaud, D.; Quilliet, C.; Graner, François; Ataei Talebi, S. (2008)
    A 2D foam can be characterised by its distribution of bubble areas, and of number of sides. Both distributions have an average and a width (standard deviation). There are therefore at least two very different ways to ...
  • Jones, Sian Angharad; Cox, Simon (2011-08-31)
    A two-dimensional foam consists of a monolayer of bubbles. It can be created by squeezing the more familiar three-dimensional foam between two parallel glass plates. We describe and explain the minimum plate separation H ...
  • Mishuris, Gennady; Miszuris, Wiktoria; Öchsner, Andreas (2009-03)
    Imperfect transmission conditions modelling a thin reactive intermediate layer between two bonded materials in a dissimilar strip are derived in this paper in most general case extending results obtained previously. The ...
  • Jones, Sian; Dollet, B.; Slosse, N.; Jiang, Yi; Cox, Simon; Graner, François (2011-05-05)
    The flow of a quasi-two-dimensional foam through a constriction is described. The bubble velocity and elongation (texture) is compared between two sets of experiments and two different quasi-static simulations using Surface ...
  • Douglas, Robert J.; Burton, G. R. (2003-05)
    This paper proves some results concerning the polar factorisation of an integrable vector-valued function $u$ into the composition $u = u^{\#} \circ s$, where $u^{\#}$ is equal almost everywhere to the gradient of a convex ...
  • Mishuris, Gennady; Dronka, J.; Aslanyan, A. G.; Selsil, O. (2007)
    The objective of the paper is to study the vibrations of 1D-3D nondegenerate multistructures, which are partly damaged. Such an analysis is useful to quickly asses the condition of a structure which has been in use over a ...
  • Mishuris, Gennady; Alexandrov, Sergei (2007-01)
    Viscoplastic models including a saturation stress are considered. The existence of the saturation stress significantly changes the mathematical structure of solutions near maximum friction surfaces (surfaces where the ...
  • Cox, Simon (2005-08)
    An implementation of the recent viscous froth model of Kern et al. [N.Kern, D.Weaire, A. Martin, S. Hutzler, S.J. Cox, The two-dimensional viscous froth model for foam dynamics, Phys. Rev. E 70 (2004) 041411.] in the Surface ...
  • Cox, Simon John; Mishuris, Gennady; Weaire, Denis (2009-08-08)
    The steady-state solutions of the viscous froth model for foam dynamics are analysed and shown to be of finite extent or to asymptote to straight lines. In the high-velocity limit, the solutions consist of straight lines ...
  • Mishuris, Gennady; Movchan, A. B.; Slepyan, L. I. (2007)
    We analyze a crack propagating in an inhomogeneous rectangular lattice in the state of anti-plane shear. The filtering properties of such a lattice are linked to the energy dissipation due to waves initiated by the crack. ...
  • Raufaste, Christophe; Dollet, Benjamin; Cox, Simon; Jiang, Yi; Graner, François (2007-06)
    We study the two-dimensional flow of foams around a circular obstacle within a long channel. In experiments, we confine the foam between liquid and glass surfaces. In simulations, we use a deterministic software, the Surface ...

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