Critically understanding the ‘standard candle’-like behavior of Type Ia supernovae requires understanding their explosion mechanism. One family of models for Type Ia Supernovae begins with a deflagration in a Carbon-Oxygen white dwarf which greatly accelerates through wrinkling and flame instabilities. While the planar speed and behavior of astrophysically-relevant flames is increasingly well u...

An 11-year-old boy was referred for right leg pain that had lasted for 3 months. No history of trauma was documented, and infectious, vascular, and neoplastic evaluation was unremarkable. Physical examination revealed atrophy of the right lower limb, and the right foot was cold and pale. He demonstrated allodynia with light tactile stimulation. He also complained of decreased heat and cold sens...

With the thickness of only a single atomic layer, graphene displays many interesting surface properties. A general observation is that wrinkles are formed on graphene oxide (GO) when it is dried in the presence of adsorbed inorganic nanoparticles. In this case, evaporation induced wrinkling is not an elastic deformation but is permanent. Understanding the nanoscale force of wrinkle formation is...

Geometric instabilities in living structures can be critical for healthy biological function, and abnormal buckling, folding, or wrinkling patterns are often important indicators of disease. Mathematical models typically attribute these instabilities to differential growth, and characterize them using the concept of fictitious configurations. This kinematic approach toward growth-induced instab...

A new modeling strategy is developed to introduce tabulated chemistry methods in LES of turbulent premixed combustion. The objective is to recover the correct laminar flame propagation speed of the filtered flame front when subgrid scale turbulence vanishes. The filtered flame structure is mapped by 1-D filtered laminar premixed flames. Closure of the filtered progress variable and the energy b...

If a body with a stiffer surface layer is loaded in compression, a surface wrinkling instability may be developed. A bifurcation analysis is presented for determining the critical load for the onset of wrinkling and the associated wavelength for materials in which the elastic modulus is an arbitrary function of depth. The analysis leads to an eigenvalue problem involving a pair of linear ordina...

The thin film used for the NASA Ultra Long Duration Balloons (ULDB) shows considerable time-dependent behaviour. Furthermore, experiments on scaled ULDB balloons have revealed that wrinkles are present over a wide range of pressures. A numerical model has been developed describing the nonlinear anisotropic viscoelastic material behaviour by means of a Schapery-type model and this model has been...

We report a crack-free controlled wrinkling method based on a bilayer film system. A liquid UV-curable film is solidified on a uniaxially pre-stretched PDMS elastic sheet by UV-exposure. Subsequently, the sheet is released back to its initial non-stretched state, which results in spontaneous formation of grating wrinkles perpendicular to the stretching direction. An interface of gradient interp...