Event Detail

Event Type: 
Graduate Student Summer Seminar
Tuesday, June 29, 2021 - 14:30 to 15:30
Zoom. Please contact Elaine Cozzi for the link.

Speaker Info

Graduate Student

In this talk, I am planning to outline the well-posedness of an initial-boundary-value contact problem modeling deformations of a fully saturated poroelastic medium, which is confined by the sides of a cylinder, and the regions below and above the medium are filled with fluid at respective constant pressures. The poroelastic medium is fixed and sealed on the sides, free and in contact with the exterior fluid on the top and bottom, and displacement of the medium is unilaterally constrained on the top by a Signorini-type free boundary condition. The filtration flow of fluid through the poroelastic medium and the small deformations of the medium are described by a quasi-static Biot system of partial differential equations. Putting the constraint on the displacement, instead of the velocity, introduces additional challenges to the problem. In applications, this type of problems may arise from a variety of disciplines, including: consolidation problems in soil sciences, manufacture of composite materials by injection molding, and modeling articular cartilage in biomedical sciences.