Energy release rates for an edge delamination of a laminated beam subjected to through-thickness temperature gradient are analyzed on the basis of the classical beam theory. The decomposition of the energy release rate into mode I and mode II components is made by combining the analyses of the energy release rates by Toya (1992) and the two-dimensional elasticity solutions for a split-beam element by Suo and Hutchinson (1990). The energy release rate is a quadratic function of the temperatures of the top and bottom surfaces of the beam. The transition of the type of crack growth between pure mode II and mixed mode type occurs at the temperature difference corresponding to the minimum energy release rate. Numerical analyses based on finite-element method are also carried out, which show that the theory agrees well with numerical results when temperature jump across the delaminated surfaces is relatively small as compared with the temperature difference between the top and bottom surfaces of the layered beam.
Skip Nav Destination
e-mail: toyamasa@mech.kagoshima-u.ac.jp
Article navigation
September 2005
Technical Papers
Energy Release Rates for an Edge Delamination of a Laminated Beam Subjected to Thermal Gradient
M. Toya,
M. Toya
Professor
Department of Mechanical Engineering,
e-mail: toyamasa@mech.kagoshima-u.ac.jp
Kagoshima University
, 1-21-40 Korimoto, Kagoshima 890-0065, Japan
Search for other works by this author on:
M. Oda,
M. Oda
Research Assistant
ULSI Device Development Division,
NEC Corporation
, Kanagawa 229-1198, Japan
Search for other works by this author on:
A. Kado,
A. Kado
Graduate Student
ULSI Device Development Division,
NEC Corporation
, Kanagawa 229-1198, Japan
Search for other works by this author on:
T. Saitoh
T. Saitoh
Chief Research Engineer
ULSI Device Development Division,
NEC Corporation
, Kanagawa 229-1198, Japan
Search for other works by this author on:
M. Toya
Professor
Department of Mechanical Engineering,
Kagoshima University
, 1-21-40 Korimoto, Kagoshima 890-0065, Japane-mail: toyamasa@mech.kagoshima-u.ac.jp
M. Oda
Research Assistant
ULSI Device Development Division,
NEC Corporation
, Kanagawa 229-1198, Japan
A. Kado
Graduate Student
ULSI Device Development Division,
NEC Corporation
, Kanagawa 229-1198, Japan
T. Saitoh
Chief Research Engineer
ULSI Device Development Division,
NEC Corporation
, Kanagawa 229-1198, JapanJ. Appl. Mech. Sep 2005, 72(5): 658-665 (8 pages)
Published Online: November 4, 2004
Article history
Received:
June 28, 2001
Revised:
November 4, 2004
Citation
Toya, M., Oda, M., Kado, A., and Saitoh, T. (November 4, 2004). "Energy Release Rates for an Edge Delamination of a Laminated Beam Subjected to Thermal Gradient." ASME. J. Appl. Mech. September 2005; 72(5): 658–665. https://doi.org/10.1115/1.1978917
Download citation file:
Get Email Alerts
Cited By
Related Articles
Thermomechanical Stress Analysis of Multi-Layered Electronic Packaging
J. Electron. Packag (March,2003)
Effects of Thermal-Moisture Coupled Field on Delamination Behavior of Electronic Packaging
J. Electron. Packag (September,2024)
On Failure Mechanisms in Flip Chip Assembly—Part 1: Short-Time Scale Wave Motion
J. Electron. Packag (June,2008)
Laminate Delamination Due to Thermal Gradients
J. Eng. Mater. Technol (October,1995)
Related Proceedings Papers
Related Chapters
Subsection NB—Class 1 Components
Companion Guide to the ASME Boiler & Pressure Vessel Codes, Volume 1 Sixth Edition
Analysis of Components in VIII-2
Guidebook for the Design of ASME Section VIII Pressure Vessels, Third Edition
Flexibility Analysis
Process Piping: The Complete Guide to ASME B31.3, Third Edition