PIRE-CNA 2016 Summer School
New Frontiers in Nonlinear Analysis for Materials
Center for Nonlinear Analysis
Carnegie Mellon University, Pittsburgh, PA
June 2–10, 2016
Venue: Baker Hall - Giant Eagle Auditorium (A51)
Lecturers and Topics:
- Irene Fonseca, Carnegie Mellon University (USA)
Variational models for epitaxial growth and materials defects - Adriana Garroni, Sapienza University of Rome (Italy)
Variational methods for crystal defects and plasticity - Robert Kohn, New York University (USA)
A variational perspective on wrinkling patterns in thin elastic sheets - Roman Kotecký, University of Warwick (UK)
Gradient Gibbs measures: Statistical mechanics and nonlinear elasticity - Mitchell Luskin, University of Minnesota (USA)
Multiscale materials simulation at the atomic scale: A numerical analysis perspective
Right: A top view of a hexagonal pyramid simulated with a phasefield model of selective area epitaxy; color indicates the mean curvature. Larry K. Aagesen, Michael E. Coltrin, Jung Han, and Katsuyo Thornton, JOURNAL OF APPLIED PHYSICS 117, 194302 (2015). Courtesy of Katsuyo Thornton
The mini-courses will be complemented by one-hour talks by researchers in related fields. The list includes:
- Peter Bella, Max-Planck Institute, Leipzig (Germany) (abstract)
- Christoph Ortner, University of Warwick (UK) (abstract)
- Celia Reina, University of Pennsylvania (USA) (abstract)
- Katsuyo Thornton, University of Michigan (USA) (abstract)
Organizers:
Irene Fonseca, Carnegie Mellon University (USA), Giovanni Leoni, Carnegie Mellon University (USA), Stefan Müller, University of Bonn (Germany), Christoph Ortner, University of Warwick (UK)
Right: Dislocations emission during the formation of voids. Courtesy of M. Ortiz
Advanced graduate students and postdocs are invited to submit a title and an abstract for a poster. A cv will also be required. Each poster will be individually introduced with a five minute oral presentation. The deadline for submission of posters is April 15, 2016.
Advanced undergraduate students, graduate students, and postdoctoral fellows are encouraged to apply for financial support.The deadline for applications is April 15, 2016.
Left: A discrete edge dislocation in a cubic lattice.
Center for Nonlinear Analysis
Carnegie Mellon University
Department of Mathematical Sciences
Pittsburgh, PA 15213
Telephone: 412-268-2545
Fax: 412-268-6380
email: pirecna2016ss@math.cmu.edu
This conference is sponsored by the Department of Mathematical Sciences at Carnegie Mellon University and the National Science Foundation.
Right: Deformed configuration in atomic units of a BQCE solution for a microcrack. The color and size of the atom positions indicate the value of the blending function. From: Formulation and optimization of the energy-based blended quasicontinuum method, Mitchell Luskin, Christoph Ortner, and Brian Van Koten. Computer Methods in Applied Mechanics and Engineering, 253:160–168, 2013