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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  • Steady drainage in emulsions: corrections for surface Plateau borders and a model for high aqueous volume fraction 
    Cox, Simon; Weaire, Denis; Hutzler, Stefan; Peron, N. (2007-04)
    We compare extensive experimental results for the gravity-driven steady drainage of oil-in-water emulsions with two theoretical predictions, both based on the assumption of Poiseuille flow. The first is from standard foam ...
  • Steady-state motion of a Mode-III crack on imperfect interfaces 
    Movchan, A. B.; Mishuris, Gennady; Movchan, N. V. (2006)
    The aim of the present paper is to analyse the behaviour of the stress and displacement fields in the vicinity of the tip of a crack moving along a bi-material interface. For simplicity, we consider a straight interface ...
  • Steady-state propagation of a Mode III crack in couple stress elastic materials 
    Mishuris, Gennady; Radi, Enrico; Piccolroaz, Andrea (2012-12)
    This paper is concerned with the problem of a semi-infinite crack steadily propagating in an elastic solid with microstructures subject to antiplane loading applied on the crack surfaces. The loading is moving with the ...
  • The Stokes experiment in a foam - a summary 
    Davies, Ioan Tudur (Unknown Publisher, 2008-02-01)
    One way in which the complex elastic, plastic and viscous properties of a liquid foam can be explored is through the interaction between the foam and an object moving relative to it. This variation on the classic 'Stokes' ...
  • Symmetric and skew-symmetric weight functions in 2D perturbation models for semi-infinite interfacial cracks 
    Movchan, A. B.; Mishuris, Gennady; Piccolroaz, A. (2009-09-01)
    In this paper we address the vector problem of a 2D half-plane interfacial crack loaded by a general asymmetric distribution of forces acting on its faces. It is shown that the general integral formula for the evaluation ...
  • Topological and geometrical disorder correlate robustly in two-dimensional foams 
    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 ...
  • The transition from three-dimensional to two-dimensional foam structures 
    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 ...
  • Transmission Conditions for Thin Reactive Heat-Conducting Interphases: General Case 
    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 ...
  • Two-dimensional constriction flows of foams 
    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 ...
  • Uniqueness of the polar factorisation and projection of a vector-valued mapping 
    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 ...
  • Vibrations of damaged 1D-3D multi-structures 
    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 ...
  • Viscoplasticity with a saturation stress: distinguishing features of the model 
    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 ...
  • A viscous froth model for dry foams in the Surface Evolver 
    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 ...
  • The Viscous Froth Model: steady states and the high-velocity limit 
    Weaire, Denis; Cox, Simon; Mishuris, Gennady (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 ...
  • Waves and fracture in an inhomogeneous lattice structure 
    Mishuris, Gennady; Slepyan, L. I.; Movchan, A. B. (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. ...
  • Yield drag in a two-dimensional foam flow around a circular obstacle: Effect of liquid fraction 
    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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