# Stewart Silling

R&D S&E, Computer Science

## R&D S&E, Computer Science

(505) 844-3973

Sandia National Laboratories, New Mexico

P.O. Box 5800

Albuquerque, NM 87185-MS-1322

## My main research interest

Development of peridynamics and its applications.

## What is peridynamics?

Peridynamics is a mathematical theory of mechanics that extends classical continuum mechanics to include discrete particles and growing cracks. Its applications include:

- Unguided modeling of fracture in metals and composites.
- Transition from continuous damage to fracture.
- Modeling of long-range forces within a continuous body.
- Atomistic to continuum coupling in a consistent mathematical framework.

## Materials and articles on peridynamics

**Some background material **(presentation slides)

- General discussion of peridynamics: Unifying the Mechanics of Continua, Cracks, and Particles (2014)
- Fatigue model: Peridynamic Model for Fatigue Cracks (2014)
- Multiscale: Defects and Interfaces in Peridynamics: A Multiscale Approach (2014)
- J-integral: Energy Balance for a Moving Defect in a Peridynamic Solid (2010)
- Local-nonlocal coupling: Variable Length Scale in a Peridynamic Body (2013)

**Review article on peridynamics**

- Peridynamic theory of solid mechanics (with R. B. Lehoucq)
*Advances in Applied Mechanics*44 (2010) 73-166. Google books page here. Preprint available here.

**First article on peridynamics**

- Reformulation of elasticity theory for discontinuities and long-range forces,
*Journal of the Mechanics and Physics of Solids*48 (2000) 175-209. Paper.

**Tutorial on states **(including examples of Frechet derivatives)

- Peridynamic States (2010)

## My background

S.B., 1977, Massachusetts Institute of Technology, Physics and Nuclear Engineering

M.Eng., 1980, University of California, Berkeley, Nuclear Engineering

Ph.D. 1986, California Institute of Technology, Applied Mechanics

I have been a faculty member at Brown University, a visiting faculty member at the California Institute of Technology, and a Visiting Scholar at the Boeing Company.

I am currently a Distinguished Member of the Technical Staff at Sandia National Laboratories in Albuquerque, New Mexico, USA, in the Multiscale Science Department, Computing Research Center.