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

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• (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 ...
• (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 ...