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Peridynamics for multiscale materials modeling
Thu, Oct 01, 2009 @ 02:00 PM - 03:00 PM
Sonny Astani Department of Civil and Environmental Engineering
Conferences, Lectures, & Seminars
Speaker: Dr. Richard B. Lehoucq, Sandia National Labs, Albuquerque, NM Abstract:
My presentation provides an overview of peridynamics, a continuum theory that employs a nonlocal model of force interaction. Specifically, the internal force density is given by an integral operator that sums forces separated by a finite distance. This integral operator is not a function of the deformation gradient, allowing for a more general notion of deformation than in classical elasticity that is well aligned with the kinematic assumptions of molecular dynamics. I also demonstrate that the peridynamic internal force density represents the statisical coarse-graining of molecular force as an ensemble average in phase space. This provides a statistical mechanical basis for peridynamics. Peridynamics effectiveness has been demonstrated in several applications, including fracture and failure of composites, nanofiber networks, and polycrystal fracture. These suggest that peridynamics is a viable multiscale material model for length scales ranging from molecular dynamics to those of classical elasticity.
Audiences: Everyone Is Invited
Contact: Evangeline Reyes
