lecture image CCT Colloquium Series
Towards Multiscale Materials Modeling with Peridynamics
Michael Parks, Sandia National Laboratories
Johnston Hall 338
November 14, 2008 - 11:30 am
The peridynamic model is a reformulation of continuum mechanics based on integral equations. It is a nonlocal model, accounting for the effects of long-range forces. Unlike classical elasticity, peridynamics does not utilize stress/strain relationships and does not assume even weak differentability of the displacement field, although classical elasticity can be shown to be a special case of the peridynamic model. Further, a particular discretization of the peridynamic model has the same computational structure as molecular dynamics, prompting its investigation as a coarse-graining of molecular dynamics. In this talk, I survey the analytical, numerical, and computational connections between peridynamics, continuum mechanics and molecular dynamics.
Speaker's Bio:
Michael Parks is a senior member of the technical staff in the Computational Mathematics and Algorithms department in the Computer Science Research Institute at Sandia National Laboratories in Albuquerque, New Mexico. His research interests include numerical analysis, multiscale analysis, atomistic-to-continuum coupling, numerical linear algebra, iterative methods, and domain decomposition methods. He is an associate editor for Applied Mathematics and Computation. He holds bachelor's degrees in computer science and physics as well as a master's degree in computer science from Virginia Tech. After completing his Ph.D. in computer science at the University of Illinois, he joined the staff at Sandia in 2004.
Refreshments will be served.
This lecture has a reception.