• Fracture mechanics of ductile materials and interfaces
• Nanoscale fracture mechanics
• Dynamic fragmentation modeling
• Discontinuites and shock waves in solids
• Nonlocal constitutive models of composite materials

Nonlinear fracture mechanics, plasticity theory, advanced materials, shock waves in solids, continuum mechanics, applied mathematics.

Fracture Mechanics of Ductile Materials & Interfaces
We develop analytical continuum mechanics solutions for material behavior near cracks in ductile single crystals (and compare with Prof. Crone’s experiments ) and on ductile/ductile and ductile/brittle interfaces

Analytical Modeling of Dynamic Fragmentation
Rapid energy input into a body (by impact, lasers, x-rays, etc.) can cause shattering. We develop fundamental mechanics models of this.

Nanoscale Fracture Mechanics of Layered Materials
Fracture properties change dramatically at small scales! The effects of individual dislocations become important!