PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Victor Nistor, Stephanie Zerby, Mark Levi, Jinchao Xu, Ludmil Zikatanov.

Title:Mathematical Analysis of linearized peridynamics
Seminar:CCMA Luncheon Seminar
Speaker:Tadele Mengesha, Mathematics PSU
Abstract:
We analyze the linearized bond-based peridynamic model of continuum mechanics. The focus is on models of isotropic elastic materials that allow an indefinite micromodulus kernel. Using standard variational techniques we prove the well posedness of the system of equilibrium equations, given as a nonlocal boundary value problem. We will also study the Cauchy problem of the time dependent equations of motion. In the event of vanishing nonlocality solutions of the nonlocal system are shown to converge to the Navier system of classical elasticity. Our analysis is based on some nonlocal Poincare-type inequalities and compactness of the corresponding nonlocal operators.

Room Reservation Information

Room Number:MB114
Date:11 / 16 / 2012
Time:12:20pm - 01:30pm