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

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• (2008)
Simulations of motion by mean curvature in bounded domains, with applications to bubble motionand grain growth, rely upon boundary conditions that are only approximately compatible with the equation of motion. Three closed ...
• (2008)
The 2007 Mid-winter meeting of the British Society of Rheology (BSR) was held at the Department of Earth Science & Engineering, in the Royal School of Mines, Imperial College London on the 10th and 11th of December. The ...
• (2007-06)
To study the location of poles for the acoustic scattering matrix for two strictly convex obstacles with smooth boundaries, one uses an approximation of the quantized billiard operator M along the trapped ray between the ...
• (2008)
Using the Surface Evolver software, we perform numerical simulations of point-like deformations in a two-dimensional foam. We study perturbations which are infinitesimal or finite, isotropic or anisotropic, and we either ...
• (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 ...