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21.
Jean-Christophe Loudet Philippe Poulin 《Journal of Dispersion Science and Technology》2013,34(1-3):143-154
We review recent findings about the behavior of emulsions made of droplets suspended in liquid crystalline materials. By contrast to classical emulsions, which are usually made of isotropic oils and water, liquid crystal emulsions exhibit a variety of structures result in the ordering of the continuous phase. The droplets induce the formation of topological defects and distortions that lead to strong and anisotropic elastic forces between the particles. These elastic forces govern the stability and the ordering of the particles. This is observed in aqueous emulsions as well as in non-aqueous emulsions obtained from phase separation phenomena. It is shown that phase separations in liquid crystals can lead to the formation of highly ordered arrays of uniformly sized droplets. More generally, ordered structures seen in liquid crystal emulsions are of interest as examples of topologicallv-controlled organizations; they are also of potential practical importance as a novel way to control both the stability and the structures of colloidal particles. 相似文献
22.
Patrick L. Combettes Jean-Christophe Pesquet 《Set-Valued and Variational Analysis》2012,20(2):307-330
We propose a primal-dual splitting algorithm for solving monotone inclusions involving a mixture of sums, linear compositions,
and parallel sums of set-valued and Lipschitzian operators. An important feature of the algorithm is that the Lipschitzian
operators present in the formulation can be processed individually via explicit steps, while the set-valued operators are
processed individually via their resolvents. In addition, the algorithm is highly parallel in that most of its steps can be
executed simultaneously. This work brings together and notably extends various types of structured monotone inclusion problems
and their solution methods. The application to convex minimization problems is given special attention. 相似文献
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J. Antoni SellarÈs Godfried Toussaint 《International Journal of Mathematical Education in Science & Technology》2013,44(2):219-237
Computational geometry is a new (about 30 years) and rapidly growing branch of knowledge in computer science that deals with the analysis and design of algorithms for solving geometric problems. These problems typically arise in computer graphics, image processing, computer vision, robotics, manufacturing, knot theory, polymer physics and molecular biology. Since its inception many of the algorithms proposed for solving geometric problems, published in the literature, have been found to be incorrect. These incorrect algorithms rather than being ‘purely mathematical’ often contain a strong kinesthetic component. This paper explores the relationship between computational geometric thinking and kinesthetic thinking, the effect of the latter on the correctness and efficiency of the resulting algorithms, and their implications for education. 相似文献
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M. Jankov G. Løvoll H. A. Knudsen K. J. Måløy R. Planet R. Toussaint E. G. Flekkøy 《Transport in Porous Media》2010,84(3):569-585
The effects of seismic stimulation on the flow of two immiscible fluids in an elastic synthetic porous medium is experimentally
investigated. A wetting fluid is slowly evacuated from the medium, while a pressure oscillation is applied on the injected
non- wetting fluid. The amplitude and frequency of the pressure oscillations as well as the evacuation speed are kept constant
throughout an experiment. The resulting morphology of the invading structure is found to be strongly dependent on the interplay
between the amplitude and the frequency of the applied pressure oscillations and the elasticity of the porous medium. Different
combinations of these properties yield morphologically similar structures, allowing a classification of structures that is
found to depend on a proposed dimensionless number. 相似文献
30.
J.R. Samaca Martinez J.-B. Le Cam X. Balandraud E. Toussaint J. Caillard 《Polymer Testing》2013,32(5):835-841
This paper deals with the calorimetric analysis of deformation processes in filled styrene-butadiene rubbers. More especially, the study focuses on the effects of the addition of carbon black fillers on the calorimetric response of “demullinized” SBR. Temperature variations are measured by infrared thermography during cyclic uniaxial tensile tests at ambient temperature. Heat sources1 produced or absorbed by the material due to deformation processes are deduced from temperature fields by using the heat diffusion equation. First, the results show that no mechanical (intrinsic) dissipation is detected for weakly filled SBR, meaning that the heat produced and absorbed over one mechanical cycle is the same whatever the stretch ratio reached. Second, the mechanical dissipation in highly filled SBR is significant. The quantitative analysis carried out highlights the fact that it increases quasi-linearly with the stretch ratio. Finally, a simplified framework is proposed to discuss the identification of the heat sources, in particular the mechanical dissipation. 相似文献