A principal stress contour for nonlinear elastic deformations

Generalized Nonlinear Equation and Solutions for Fluid Contour Deformations

We generalize the nonlinear one-dimensional equation for a fluid layer surface to any geometry and we introduce a new infinite order differential equation for its traveling solitary waves solutions. This equation can be written as a finite-difference expression, with a general solution that is a power series expansion with coefficients satisfying a nonlinear recursion relation. In the limit of ...

Tracking Contour Deformations

We consider the problem of tracking the boundary contour of a moving and deforming object from a sequence of images. If the motion of the “object” or region of interest is constrained (e.g. rigid or approximately rigid), the contour motion can be efficiently represented by a small number of parameters, e.g. the affine group. But if the “object” is arbitrarily deforming, each contour point can m...

Nonlinear axisymmetric deformations of an elastic tube under external pressure

Stress Concentration in an Elastic Cosserat Plate Undergoing Extensional Deformations

Nonlinear elastic stress response in granular packings.

We study the nonlinear elastic response of a two-dimensional material to a localized boundary force, with the particular goal of understanding the differences observed between isotropic granular materials and those with hexagonal anisotropy. Corrections to the classical Boussinesq result for the stresses in an infinite half space of a linear, isotropic material are developed in a power series i...