The Mullins effect is a common name for family of intriguing inelastic responses various solid materials, in particular filled rubbers. Given the importance effect, there have been many attempts to develop mathematical models describing effect. However, most available focus exclusively on mechanical response and are restricted idealized isothermal setting. We lift restriction processes, we prop...

The von Neumann-Mullins law for the area evolution of a cell in the plane describes how a dry foam coarsens in time. Recent theory and experiment suggest that the dynamics are different on the surface of a three-dimensional object such as a sphere. This work considers the dynamics of dry foams on the surface of a sphere. Starting from first principles, we use computer simulation to show that cu...

Abstract. We consider a finite number of particles initially close to spherical but of varying size exhibiting the property of preserving the measure of each connected component. We show that under the assumptions i) particle size/interparticle distance 1 and ii) initial deviation from sphericity/particle size 1 the particles retain their almost spherical shape and the dynamics of the system is...

We introduce a parametric finite element approximation for the Stefan problem with the Gibbs–Thomson law and kinetic undercooling, which mimics the underlying energy structure of the problem. The proposed method is also applicable to certain quasi-stationary variants, such as the Mullins–Sekerka problem. In addition, fully anisotropic energies are easily handled. The approximation has good mesh...

Numerous iodide-containing compounds are used in radiographic contrast media. Severe, untoward reactions to these agents are of two types, cardiorespiratory collapse and, less commonly, anaphylactic reactions (Goodman and Gilman, 1965). This paper reports a case of severe laryngeal oedema which developed as an allergic reaction to sodium metrizoate 75 per cent (Triosil) administered during card...