Dynamic Fracture in Temperature Sensitive Materials With Cohesive Zones: A Discontinuous Galerkin Approach

摘要

This project began July 1, 2002 and will expire on November 30, 2004. During the last two years, the primary focus of this effort has been the creation of a reliable computational capability for the solution of elasto- dynamic moving boundary problems. Specifically, the PI, along with a student: 1) has formulated a space-time discontinuous Galerkin finite element (DGFEM) formulation that has been shown to be unconditionally stable and capable of adaptive mesh refinement; 2) applied this formulation to the solution of various model problems in isothermal elasto-dynamics as well as isothermal elasto-dynamic phase transition; 3) begun the extension of the DGFEM formulation to fully coupled thermo-elastic problems along with preliminary numerical results; and 4) begun the creation of a numerical procedure for the solution of double integral equations deriving from the reformulation of fully transient Mode III dynamic fracture problems in thermoelastic media with cohesive zones.