Vol. 1, No. 7, 2006

Download this article
Download this article For screen
For printing
Recent Issues

Volume 12, 1 issue

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 8 issues

Volume 7, 10 issues

Volume 6, 9 issues

Volume 5, 6 issues

Volume 4, 10 issues

Volume 3, 10 issues

Volume 2, 10 issues

Volume 1, 8 issues

The Journal
Cover
Editorial Board
Editors’ Addresses
Research Statement
Scientific Advantage
Submission Guidelines
Submission Form
Subscriptions
Author Index
To Appear
 
ISSN: 1559-3959
Transient analysis of a suddenly-opening crack in a coupled thermoelastic solid with thermal relaxation

Louis Milton Brock and Mark Todd Hanson

Vol. 1 (2006), No. 7, 1257–1268
Abstract

For a semiinfinite crack that opens in an unbounded thermoelastic solid initially at rest under uniform plane-strain tension at uniform temperature, the governing equations contain as special cases the Fourier model, and two thermal relaxation models with, respectively, one and two relaxation times. Integral transforms reduce the initial/mixed boundary value problem to a Wiener–Hopf equation. Its solution produces analytical expressions for temporal transforms of normal stress and temperature change near the crack edge. For 4340 steel, numerical inversions allow comparisons of the crack edge stress for the three thermoelastic models with the isothermal result, and temperature change at the crack edge for the two thermal relaxation models with the Fourier model result. Calculations indicate that thermoelasticity has a mild relaxation effect on the stress, and that temperature changes for the thermal relaxation model are much larger than those that arise for the Fourier model just after the crack opens. After a time interval in the order of a nanosecond, however, the Fourier changes are larger, although the deviation is minuscule.

Keywords
transient analysis, thermoplastic crack, thermal relaxation, dynamic stress intensity
Milestones
Received: 5 March 2006
Accepted: 12 May 2006
Published: 1 November 2006
Authors
Louis Milton Brock
265 RGAN
Mechanical Engineering
University of Kentucky
Lexington, KY 40506-0503
United States
Mark Todd Hanson
286 RGAN
Mechanical Engineering
University of Kentucky
Lexington, KY 40506-0503
United States