Vol. 6, No. 1-4, 2011

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ISSN: 1559-3959
Path-independent H-integral for interface corners under thermal loadings

Chyanbin Hwu, Tai-Liang Kuo and Chun-Chih Huang

Vol. 6 (2011), No. 1-4, 231–248
Abstract

It is well known that the path-independent H-integral is an appropriate tool for calculating the mixed mode stress intensity factors for the interface corners between dissimilar elastic materials. To extend the applicability of the H-integral from the mechanical loading condition to the thermal loading condition, a modified H-integral is proposed in this paper. This modified H-integral possesses an extra domain integral which needs the input of temperature field. Moreover, this domain integral contains singular functions that come from the strain components of the auxiliary system, and a special treatment should be made for the accurate computation of stress intensity factors. The near-tip solutions and auxiliary solutions of displacements, stresses, and temperature required in the calculation of H-integral are all provided in this paper. The validity and versatility of the proposed approach are then shown by carrying out several numerical examples such as cracks under mixed-mode thermal loadings, interface cracks/corners under uniform heat flow or uniform temperature change, and an electronic package, in which the chip has a heat generation rate, placed at a constant temperature ambiance.

Keywords
interface corner, order of stress singularity, order of heat flux singularity, stress intensity factor, Stroh formalism, thermoelasticity
Milestones
Received: 31 March 2010
Revised: 4 July 2010
Accepted: 6 July 2010
Published: 28 June 2011
Authors
Chyanbin Hwu
Institute of Aeronautics and Astronautics
National Cheng Kung University
No.1, University Road
Tainan 70101
Taiwan
Tai-Liang Kuo
Institute of Aeronautics and Astronautics
National Cheng Kung University
No.1, University Road
Tainan 70101
Taiwan
Chun-Chih Huang
Institute of Aeronautics and Astronautics
National Cheng Kung University
No.1, University Road
Tainan 70101
Taiwan