skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: A numerical study of crack initiation in a bcc iron system based on dynamic bifurcation theory

Journal Article · · Journal of Applied Physics
DOI:https://doi.org/10.1063/1.4900580· OSTI ID:22308188
 [1]
  1. Pennsylvania State University, University Park, Pennsylvania 16802 (United States)

Crack initiation under dynamic loading conditions is studied under the framework of dynamic bifurcation theory. An atomistic model for BCC iron is considered to explicitly take into account the detailed molecular interactions. To understand the strain-rate dependence of the crack initiation process, we first obtain the bifurcation diagram from a computational procedure using continuation methods. The stability transition associated with a crack initiation, as well as the connection to the bifurcation diagram, is studied by comparing direct numerical results to the dynamic bifurcation theory [R. Haberman, SIAM J. Appl. Math. 37, 69–106 (1979)].

OSTI ID:
22308188
Journal Information:
Journal of Applied Physics, Vol. 116, Issue 16; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-8979
Country of Publication:
United States
Language:
English

Similar Records

HOPF bifurcation of a model of solid fuel combustion
Technical Report · Sat Aug 01 00:00:00 EDT 1981 · OSTI ID:22308188

Atomistic Simulation of Interstitial Dislocation Loop Evolution under Applied Stresses in BCC Iron
Journal Article · Tue Nov 07 00:00:00 EST 2017 · Physica Status Solidi. A, Applications and Materials Science · OSTI ID:22308188

Blunting of a brittle crack at grain boundaries: An atomistic study in BCC Iron
Journal Article · Fri Apr 12 00:00:00 EDT 2013 · Materials Science and Engineering. A, Structural Materials: Properties, Microstructure and Processing · OSTI ID:22308188