Abstract:
Peridynamics is a recently-developed reformulation of solid mechanics that is non-local and avoids spatial derivatives, using an integral approach instead. Thus, it is suitable for modeling phenomena involving discontinuities, including cracking and fracture. In this minisymposium, speakers will address analytical and computational issues pertinent to peridynamics or related non-local models.

9:45-10:15 AM   Well-posedness of the Linear Peridynamic Model of Continuum Mechanics Abstract

Tadele Mengesha, Penn State University, USA

10:15-10:45 PM   Finite Element Methods for Peridynamics: A Tale of Many Quadratures Abstract

Miroslav Stoyanov Oak Ridge National Laboratory, USA

10:45-11:15 PM   Numerical Methods for the Nonlocal Peridynamics Model Abstract

Xi Chen, Florida State University, USA

11:15-11:45 AM   Convergence and Scaling of a Peridynamic Diffusion Equation In Multiple Dimensions Abstract

Steven F. Henke, Florida State University, USA