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

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

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)].

Original languageEnglish (US)
Article number164314
JournalJournal of Applied Physics
Volume116
Issue number16
DOIs
StatePublished - Jan 1 2014

Fingerprint

crack initiation
iron
diagrams
molecular interactions
strain rate

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

@article{5c0ccb30af354e238b18fd3ea0a4a54d,
title = "A numerical study of crack initiation in a bcc iron system based on dynamic bifurcation theory",
abstract = "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)].",
author = "Xiantao Li",
year = "2014",
month = "1",
day = "1",
doi = "10.1063/1.4900580",
language = "English (US)",
volume = "116",
journal = "Journal of Applied Physics",
issn = "0021-8979",
publisher = "American Institute of Physics Publising LLC",
number = "16",

}

A numerical study of crack initiation in a bcc iron system based on dynamic bifurcation theory. / Li, Xiantao.

In: Journal of Applied Physics, Vol. 116, No. 16, 164314, 01.01.2014.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A numerical study of crack initiation in a bcc iron system based on dynamic bifurcation theory

AU - Li, Xiantao

PY - 2014/1/1

Y1 - 2014/1/1

N2 - 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)].

AB - 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)].

UR - http://www.scopus.com/inward/record.url?scp=84908424079&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84908424079&partnerID=8YFLogxK

U2 - 10.1063/1.4900580

DO - 10.1063/1.4900580

M3 - Article

VL - 116

JO - Journal of Applied Physics

JF - Journal of Applied Physics

SN - 0021-8979

IS - 16

M1 - 164314

ER -