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Browsing Mathematical Modelling of Structures, Solids and Fluids by Title

Browsing Mathematical Modelling of Structures, Solids and Fluids by Title

Now showing items 66-85 of 112

Necking in the tensile test. Correction formulae and related error estimation

Gromada, Magdalena; Oechsner, A.; Mishuris, Gennady (2007)

This paper deals with analytical modelling of the classical tensile test which is still considered as one of the main experimental procedures to determine the flow curve of elasto-plastic materials. Together with numerical ...
A new evaluation procedure for the butt-joint test of adhesive technology: Determination of the complete set of linear elastic constants

Gracio, J.; Mishuris, Gennady; Stasiek, M.; Oechsner, A. (2007-12)

Simple analytical formulae have been reported in literature to extract basic elastic material properties of adhesives subjected to tensile loading. The assumptions and simplifications of classical evaluation procedures may ...
A New Finite Element Formulation for Thin Non-Homogeneous Heat-Conducting Adhesive Layers

Oechsner, A.; Mishuris, Gennady (2008)

A thin heat-conducting adhesive layer is considered in a two-dimensional approach. The material of the adhesive layer exhibits an arbitrary non-homogeneous thermal conductivity which is a function of the spatial coordinate ...
Non-existence of polar factorisations and polar inclusion of a vector-valued mapping

Douglas, Robert J. (2007)

This paper proves some results concerning the polar factorisation of an integrable vector-valued function $u$ into the composition $u = u^{\#} \circ s$, where $u^{\#} = \nabla \psi$ almost everywhere for some convex function ...
Numerical method for solving joint thermo-diffusive problems in an infinite combined domain with thin resistant interphase.

Mishuris, Gennady; Wrobel, M. (2009-07)

This work deals with a class of Boundary Value Problems describing joint thermo-diffussive fields in an infinite combined domain, which consists of two subdomains, matched by a thin intermediate layer. The main problem is ...
Numerical Modelling of Mass Transfer Problems in Combined Domains with Non-linear Imperfect Transmission Conditions

Mishuris, Gennady; Wrobel, M. (2009-03)

This work deals with a nonlinear mass transfer problem in an infinite combined domain, consisting of half-space matched to a bounded part via a thin intermediate layer. The latter exhibits high contrast material properties, ...
On the effectiveness of a quasistatic bubble-scale simulation in predicting the constriction flow of a two-dimensional foam

Jones, Sian Angharad; Cox, Simon (2012-04-04)

A comprehensive set of experiments on a two-dimensional constriction flow of a foam are described. Image analysis of the flow is used to ascertain bubble shape and flow dynamics. The bubble velocity, elongation (texture), ...
On the evaluation of mechanical properties from the axisymmetric tensile test

Oechsner, Andreas; Gromada, Magdalena; Mishuris, Gennady (2011-09-06)

This paper deals with analytical modelling of the classical tensile test which is still considered as one of the main experimental procedures to determine the flow curve of elasto-plastic materials. Accurate numerical ...
On the positivity of the Jansen-Heß operator for arbitrary mass

Iantchenko, A.; Jakubaßa-Amundsen, D. H. (2003-12)

The Jansen-Heß operator is an approximate (pseudo-)relativistic no-pair Hamiltonian in the Furry picture which is used in the physics literature to describe heavy atoms. Within the single-particle Coulomb model we prove ...
On the structure of quasi-two-dimensional foams

Janiaud, Eric; Cox, Simon (2008-09-01)

Bubble monolayers are widely used to probe the rheology of aqueous foams, and liquid content plays an important role in the response. We analyse the liquid distribution within three different types of two-dimensional foam, ...
The Oscillatory Squeeze flow rheometer: Comprehensive theory and a new experimental facility

Walters, K.; Binding, David M.; Bell, D. (2006-10)

In this paper, we give detailed attention to a relatively recent method for the determination of the linear dynamic properties of viscoelastic systems, namely, the so-called oscillatory squeeze flow (OSF) technique. We ...
Perturbation analysis of Mode III interfacial cracks advancing in a dilute heterogeneous material

Mishuris, Gennady; Movchan, Natasha; Movchan, Alexander; Piccolroaz, Andrea (2012-01-14)

The paper addresses the problem of a Mode III interfacial crack advancing quasi-statically in a heterogeneous composite material, that is a two-phase material containing elastic inclusions, both soft and stiff, and defects, ...
Perturbation of mode III interfacial cracks

Piccolroaz, Andrea; Movchan, Alexander; Mishuris, Gennady (2011-09-06)

We consider the perturbation problem of a Mode III interfacial crack. The perturbation is of geometrical type and can be both perturbation of the crack faces and perturbation of the interface, which can deviate from the ...
Perturbing Paths of Slow Cracks in PMMA by Local Heating

Mishuris, Gennady; Mishakin, V.; Linkov, A. M.; Alford, N.; Fradkin, L.; Dobroskok, A. (2009)

Real-time control of the direction of a propagating crack is little explored area of management of structural integrity. We have examined it with experiments on quasi-static (slow) cracks in PMMA (Polymethyl-Methacrylate). ...
Phyllotactic description of hard sphere packing in cylindrical channels.

Mughal, A.; Chan, H. K.; Weaire, D. (2011-03-16)

We develop a simple analytical theory that relates dense sphere packings in a cylinder to corresponding disk packings on its surface. It applies for ratios R = D/d (where d and D are the diameters of the hard spheres and ...
Pre-empting Plateau: the nature of topological transitions in foam

Hutzler, Stefan; van der Net, Antje; Weaire, Denis; Cox, Simon; Janiaud, Eric (2007-01)

When the area of a face in a dry foam approaches zero in some quasistatic processes, Plateau's rules dictate that there must be an instability. This is more subtle than generally supposed. We argue that it is generally ...
Qualitative behaviour of viscoplastic solutions in the vicinity of maximum-friction surfaces

Alexandrov, Sergei; Mishuris, Gennady (2009-10)

The maximum-friction surface is a source of singular solution behaviour for several rate-independent plasticity models. Solutions based on conventional viscoplastic models do not show such behaviour. For a class of materials, ...
Remarks on the accuracy of algorithms for motion by mean curvature in bounded domains

Mishuris, Gennady; Cox, Simon (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 ...
Report on the British Society of Rheology mid-winter meeting on The Rheology of Foams and Emulsions, Royal School of Mines, Imperial College, London 10th - 11th December 2007

Wilson, H. J.; Cox, Simon; Neethling, S. (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 ...
Scattering poles near the real axis for two strictly convex obstacles

Iantchenko, A. (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 ...

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