We will consider boundary value problems of elastic systems presenting singular behavior in the bulk and on the boundary. Two types of constitutive equations of elastomers will be addressed: isotropic and nematic liquid crystals. In the former, we will study slender domains subject to large strain, that cause loss of hyperelasticity of the mater...
Creator:
Calderer, Carme (University of Minnesota, Twin Cities)
Created:
2008-07-24
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The difficulty of constructing ordered states onspheres was recognized by J. J. Thomson, who discovered theelectron and then attempted regular tilings of the sphere in anill-fated attempt to explain the periodic table. We firstdiscuss how protein packings in buckled virus shells solve arelated "Thomson problem". We then describe the grain bounda...
Creator:
Nelson, David R. (Harvard University)
Created:
2008-07-24
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We will discuss the packing and folding of a confined beadedchain vibrated in a flat circular container as a function of chainlength, and compare with random walk models from polymer physics. Timepermitting, we will briefly discuss crumpling and folding structuresobtained with paper and elastic sheets obtained with a laser-aidedtopography techni...
Creator:
Kudrolli, Arshad (Clark University)
Created:
2008-07-24
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
I will discuss different singular behaviors that arise when one consider the impact of drop on thin liquid films or solid surface.For instance, singularities can be observed for low velocity impacts on super-hydrophobic surface, related to classical surface singularities.I will then discuss in more details the condition of prompt splash when an ...
Creator:
Josserand, Christophe (Université de Paris VI (Pierre et Marie Curie))
Created:
2008-07-24
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Understanding of complicated spatial patterns emerging from wave interference, scattering and diffraction is frequently aided by insight from topology: the isolated places where some fundamental physical quantity -- such as optical phase in a complicated light field -- is undefined (or singular) organize the rest of the field. In scalar wave pat...
Creator:
Dennis, Mark (University of Bristol)
Created:
2008-07-24
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Low dimensional elastic manifolds (such as rods 1D or sheets2D) have been drawing a lot of attention lately. When confined intoenvironments smaller than their size at rest, elastic objects sustainlarge deformations involving many fascinating mechanisms such as energycondensation from large length-scales to small singular structures,topological s...
Creator:
Boué, Laurent (École Normale Supérieure)
Created:
2008-07-24
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
I will talk about a work in collaboration with G. During and C. Josserand on the long-time evolution of waves of a thin elastic plate in the limit of smalldeformation so that modes of oscillations interact weakly. According to thetheory of weak turbulence (successfully applied in the past to plasma, optics, and hydrodynamic waves), this nonlinea...
Creator:
Rica, Sergio (Centre National de la Recherche Scientifique (CNRS))
Created:
2008-07-24
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
