|Dept. Fax:||(508) 831-5824|
|Office:||011 Stratton Hall
|US Mail:||Department of Mathematical Sciences
Worcester Polytechnic Institute
100 Institute Road
Worcester, MA 01609
Video of IPAM lecture (December, 2012)
Lecture Notes for SISSA mini-course, "Mathematical Issues in Quasi-static and Dynamic Fracture Evolution" (March, 2013)
The main focus of my research has been on the interplay between bulk and surface energies in variational problems, motivated largely by questions in Materials Science (e.g., optimal design of composite materials, fracture mechanics, debonding of thin films). My current emphasis is on the evolution of damage and fracture, and in particular, on formulating and analyzing models for predicting damage sets and crack paths. The analysis is based on tools from the Calculus of Variations, Partial Differential Equations, and Geometric Measure Theory. Current support: NSF 1009653. Additional support provided by ERC Advanced Grant 290888.
Below are recent papers with abstracts, by topic.