Non-wetting drops at liquid interfaces: From liquid marbles to Leidenfrost drops

We consider the flotation of deformable, non-wetting drops on a liquid interface. We consider the deflection of both the liquid interface and the droplet itself in response to the buoyancy forces, density difference and the various surface tensions within the system. Our results suggest new insight into a range of phenomena in which such drops occur, including Leidenfrost droplets and floating liquid marbles. In particular, we show that the floating state of liquid marbles is very sensitive to the tension of the particle-covered interface and suggest that this sensitivity may make such experiments a useful assay of the properties of these complex interfaces.Comment: 21 pages, 9 figures. Minor typos correcte

Buckling Response of Thick Functionally Graded Plates

In this paper, the buckling of a functionally graded plate is studied by using first order shear deformation theory (FSDT). The material properties of the plate are assumed to be graded continuously in the direction of thickness. The variation of the material properties follows a simple power-law distribution in terms of the volume fractions of constituents. The von Karman strains are used to construct the equilibrium equations of the plates subjected to two types of thermal loading, linear temperature rise and gradient through the thickness are considered. The governing equations are reduced to linear differential equation with boundary conditions yielding a simple solution procedure. In addition, the effects of temperature field, volume fraction distributions, and system geometric parameters are investigated. The results are compared with the results of the no shear deformation theory (classic plate theory, CPT)

Far From Threshold Buckling Analysis of Thin Films

Thin films buckle easily and form wrinkled states in regions of well defined size. The extent of a wrinkled region is typically assumed to reflect the zone of in-plane compressive stresses prior to buckling, but recent experiments on ultrathin sheets have shown that wrinkling patterns are significantly longer and follow different scaling laws than those predicted by standard buckling theory. Here we focus on a simple setup to show the striking differences between near-threshold buckling and the analysis of wrinkle patterns in very thin films, which are typically far from threshold.Comment: 4 page

Transonic and supershear crack propagation driven by geometric nonlinearities

Linear elastic fracture mechanics theory predicts that the speed of crack growth is limited by the Rayleigh wave speed. Although many experimental observations and numerical simulations have supported this prediction, some exceptions have raised questions about its validity. The underlying reasons for these discrepancies and the precise limiting speed of dynamic cracks remain unknown. Here, we demonstrate that tensile (mode I) cracks can exceed the Rayleigh wave speed and propagate at supershear speeds. We show that taking into account geometric non-linearities, inherent in most materials, is sufficient to enable such propagation modes. These geometric non-linearities modify the crack-tip singularity, resulting in different crack-tip opening displacements, cohesive zone behavior, and energy flows towards the crack tip.Comment: 8 pages, 4 figure

Buckling Response of Thick Functionally Graded Plates

In this paper, the buckling of a functionally graded plate is studied by using first order shear deformation theory (FSDT). The material properties of the plate are assumed to be graded continuously in the direction of thickness. The variation of the material properties follows a simple power-law distribution in terms of the volume fractions of constituents. The von Karman strains are used to construct the equilibrium equations of the plates subjected to two types of thermal loading, linear temperature rise and gradient through the thickness are considered. The governing equations are reduced to linear differential equation with boundary conditions yielding a simple solution procedure. In addition, the effects of temperature field, volume fraction distributions, and system geometric parameters are investigated. The results are compared with the results of the no shear deformation theory (classic plate theory, CPT)

Buckling Analysis of Laminate Short Beams by High Order Theory

Le comportement  de cisaillement transversal des poutres composites peut être critique et doit donc être correctement représenté par les différents modèles des structures utilisées habituellement pour prévoir leur comportement ou pour identifier leurs propriétés. On propose dans ce travail, une analyse de gauchissement dans les poutres stratifiées courtes selon  une approche analytique simple basée sur des théories d’ordre élevé.The transverse shear behavior of the composite beams can be critical and must therefore be properly represented by the various models of structures normally used to predict their behavior or to identify their properties. We propose in this work, a warpage analysis in short laminated beams using a simple analytical approach based on the theories of higher order