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

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• (Presses de L'ecole 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 ...
• (EPSRC, 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 ...
• (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 ...
• (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 ...
• (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 ...
• (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 ...
• (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 ...
• (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 ...
• (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. ...
• (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 ...