Discontinuous Galerkin FEM Formulation for Linear Thermo-Elasto-Dynamic Problems
Abstract
The project's objective is to enhance the state of the art in the dynamic fracture modeling of thermo-elastic materials by studying the effects of temperature and rate dependence of the fracture properties on the resulting dynamic failure behavior. The project includes the development of (1) a discontinuous Galerkin space-time finite element method (DGFEM) for linear thermo-elasto-dynamic problems; (2) modeling the rate and temperature sensitive fracture properties via cohesive zone (CZ) models. The CZ modeling will include the study of fracture under two failure criteria, a critical crack opening displacement one and a maximum stress one. The project began December 1, 2004. Accomplishments to date are: (1) a DGFEM that is unconditionally stable; (2) a computer code implementation of such FEM scheme capable of adaptive self-refinement; (3) a new technique based on the immersed boundary method for the modeling of crack surfaces in FE calculations in which the crack representation is completely independent of the underlying FE grid. A paper reporting the formulation in question and companion calculations has been accepted pending reviews and three others are under development. The implementation of CZ models in FEM has yet to begin.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 2008
- Accession Number
- ADA480682
Entities
People
- Francesco Costanzo
Organizations
- Pennsylvania State University