Jamming in soft disk packings

This thesis considers the mechanical properties of amorphous solids such as foams, emulsions, and granular media. Each of these systems consists of “particles” (bubbles, droplets, grains) in a dense, disordered structure. As a system is compressed, it eventually forms enough contacts between particles that it can support a load, including...

Analytic Solutions of Elastic Tunneling Problems

The complex variable method for solving two dimensional linearly elastic problems is used to obtain several fundamental analytical solutions of tunneling problems. The method is used to derive the general mathematical representation of problems involving resultant forces on holes in a half-plane. Such problems are encountered in geomechanics...

Stresses due to gravity in an elastic half-plane with notches of mounds