Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 217, Issue -, Pages 77-95Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2012.01.008
Keywords
Phase field; Fracture mechanics; Isogeometric analysis; Adaptive refinement; T-splines
Funding
- Office of Naval Research [N00014-08-1-0992]
- Army Research Office [W911NF-10-1-0216]
- National Science Foundation [CMI-0700807]
- SINTEF [UTA10-000374]
- ICES CAM
- Sandia National Laboratories
- United States Department of Energy's National Nuclear Security Administration [DE-AC04-94AL85000]
Ask authors/readers for more resources
In contrast to discrete descriptions of fracture, phase-field descriptions do not require numerical tracking of discontinuities in the displacement field. This greatly reduces implementation complexity. In this work, we extend a phase-field model for quasi-static brittle fracture to the dynamic case. We introduce a phase-field approximation to the Lagrangian for discrete fracture problems and derive the coupled system of equations that govern the motion of the body and evolution of the phase-field. We study the behavior of the model in one dimension and show how it influences material properties. For the temporal discretization of the equations of motion, we present both a monolithic and staggered time integration scheme. We study the behavior of the dynamic model by performing a number of two and three dimensional numerical experiments. We also introduce a local adaptive refinement strategy and study its performance in the context of locally refined T-splines. We show that the combination of the phase-field model and local adaptive refinement provides an effective method for simulating fracture in three dimensions. (C) 2012 Elsevier B.V. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available