Faculty Advisor

Larsen, Christopher J.

Faculty Advisor

Ram-Mohan, L.R.

Abstract

In this paper, the "crack derivatives", which de ned to be the limits of the blow-up sequences,are formulated and studied. Both quasi-static fracture evolution and dynamic fracture evolution are included. For quasi-static fracture evolution, the crack derivatives are proven to exist and globally minimize the energy functional on domain with arbitrary growing cracks. For dynamic fracture evolution, the crack derivatives are proven to be solutions of the wave equations on domain with arbitrary growing locally connected cracks.

Publisher

Worcester Polytechnic Institute

Date Accepted

April 2013

Major

Physics

Major

Mathematical Sciences

Project Type

Major Qualifying Project

Accessibility

Unrestricted

Advisor Department

Mathematical Sciences

Advisor Department

Physics

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