# Browsing Mathematical Modelling of Structures, Solids and Fluids by Title

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• (2010-07)
The sedimentation of an elliptical object in a dry two-dimensional, monodisperse foam is simulated. The calculations are quasi-static, allowing the identification and separation of the elastic, plastic and viscous response ...
• (Elsevier, 2009-06)
The sedimentation of circular discs in a dry two-dimensional, monodisperse foam is studied. This, a variation of the classical Stokes experiment, provides a prototype experiment to study a foam’s response. The interaction ...
• (2006)
We use the Surface Evolver to determine the shear modulus G of a dry 2D foam of 2500 bubbles, using both extensional and simple shear. We examine G for a range of monodisperse, bidisperse and polydisperse foams, and relate ...
• (2010-12-31)
Topological defects in a foam, either isolated (disclinations and dislocations) or in pairs, affect the energy and stress, and play an important role in foam deformation. Surface Evolver simulations were performed on large ...
• (2008-05)
Surface Evolver simulations of flowing two-dimensional foams are described. These are used for two purposes. Firstly, to extract the location of the T 1 s, the changes in bubble topology that occur during plastic flow. It ...
• (2007-08-13)
The flow of two-dimensional aqueous foams in the Couette geometry highlights the shear-response of this complex fluid. Quasistatic simulations using the Surface Evolver software are described which allow the calculation ...
• (2008)
The maximum friction requires that the friction stress is equal to the local shear yield stress of material. This law can be a source of singularities in rigid plastic solutions, including rigid viscoplastic solutions. For ...
• (Presses des Mines, 2008)
• (2012-04-04)
The effect of the interplay between surface tension and gravity on the sedimentation of objects in structured fluids is investigated by simulating the quasi-static motion of a spherical particle through an ordered foam. ...
• (2014-06-19)
Bubble monolayers are model systems for experiments and simulations of two-dimensional packing problems of deformable objects. We explore the relation between the distributions of the number of bubble sides (topology) and ...
• (2012-02-13)
We propose an analytical model for the statistical mechanics of shuffled two-dimensional foams with moderate bubble size polydispersity. It predicts without any adjustable parameters the correlations between the number of ...
• (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 ...
• (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 ...
• (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 ...
• (Engineering and Physical Sciences Research Council, 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' ...
• (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 ...
• (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 ...
• (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 ...
• (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 ...
• (2003-05-01)
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 ...