0
TECHNICAL PAPERS

Stress Behavior at the Interface Junction of an Elastic Inclusion

[+] Author and Article Information
Z. Q. Qian

School of Mechanical, Materials, Manufacturing Engineering and Management, University of Nottingham, University Park, Nottingham NG7 2RD, UK

A. R. Akisanya, D. S. Thompson

Department of Engineering, University of Aberdeen, Aberdeen AB24 3UE, UK

J. Appl. Mech 69(6), 844-852 (Oct 31, 2002) (9 pages) doi:10.1115/1.1507765 History: Received July 25, 2001; Revised July 04, 2002; Online October 31, 2002
Copyright © 2002 by ASME
Your Session has timed out. Please sign back in to continue.

References

Bogy,  D. B., and Wang,  K. C., 1971, “Stress Singularity at Interface Corners in Bonded Dissimilar Isotropic Elastic Materials,” Int. J. Solids Struct., 7, pp. 993–1005.
Reedy,  E. D., 1993, “Asymptotic Interface-Corner Solutions for Butt Tensile Joints,” Int. J. Solids Struct., 30, pp. 767–777.
Yang,  Y. Y., and Munz,  D., 1995, “Stress Intensity Factor and Stress Distribution in a Joint With an Interface Corner Under Thermal and Mechanical Loading,” Comput. Struct., 57, pp. 467–476.
Qian,  Z. Q., and Akisanya,  A. R., 1998, “Analysis of Free-Edge Stress and Displacement Fields in Scarf Joints Subjected to a Uniform Change in Temperature,” Fatigue Fract. Eng. Mater. Struct., 21, pp. 687–703.
Liu,  D., and Fleck,  N. A., 1999, “Scale Effects in the Initiation of Cracking of a Scarf Joint,” Int. J. Fract., 95, pp. 67–88.
Carpenter,  W. C., and Byers,  C., 1987, “A Path Independent Integral for Computing Stress Intensities for V-Notched Cracks in a Bi-material,” Int. J. Fract., 35, pp. 245–268.
Chen,  D. H., and Nisitani,  H., 1992, “Numerical Analysis of Singular Stress Around a Bonded Edge,” ASME J. Electron. Packag., 114, pp. 529–536.
Pahn,  L. O., and Earmme,  Y. Y., 2000, “Analysis of Short Interfacial Crack From the Corner of a Rectangular Inclusion” Int. J. Fract., 106, pp. 341–356.
Akisanya,  A. R., and Fleck,  N. A., 1997, “Interfacial Cracking From the Free-Edge of a Long Bi-material Strip,” Int. J. Solids Struct., 34, pp. 1645–1665.
Reedy,  E. D., and Guess,  T. R., 2001, “Rigid Square Inclusion Embedded Within an Epoxy Disk: Asymptotic Stress Analysis,” Int. J. Solids Struct., 38, pp. 1281–1293.
Sinclair,  G. B., Okajma,  M., and Griffin,  J. H., 1984, “Path Independent Integral for Computing Stress Intensity Factors at Sharp Notches in Elastic Strips,” Int. J. Numer. Methods Eng., 10, pp. 999–1008.
Dundurs, J., 1968, “Elastic Interaction of Dislocations With Inhomogeneities,” Mathematics Theory of Dislocations, ASME, New York, pp. 70–115.
Hattori,  T., Sakata,  S., and Murakami,  G., 1989, “A Stress Singularity Parameter for Evaluating the Interfacial Reliability of Plastic Encapsulated LSI Devices,” ASME J. Electron. Packag., 111, pp. 243–248.
Qian,  Z. Q., and Akisanya,  A. R., 1998, “An Experimental Investigation of Failure Initiation in Bonded Joints,” Acta Mater., 46, pp. 4895–4904.
ABAQUS/Standard, User’s Manual, Version 5.8, 2000, Hibbit, Karlsson & Sorensen, Inc, Pawtucket, RI.
Chen,  D. H., and Nisitani,  H., 1993, “Singular Stress Field Near the Corner of Jointed Dissimilar Materials,” ASME J. Appl. Mech., 60, pp. 607–613.

Figures

Grahic Jump Location
(a) A quadrilateral elastic inclusion embedded in a brittle matrix; (b) a magnified view of interface junction R, showing the local coordinates
Grahic Jump Location
A closed integration path Σ around interface junction R
Grahic Jump Location
(a) The full geometry of the square-shaped inclusion and (b) the quarter geometry considered in the finite element analysis. The two-phase material is subject to a remote tension σ and a uniform change in temperature ΔT.
Grahic Jump Location
(a) The full geometry of the diamond-shaped inclusion and (b) the half geometry considered in the finite element analysis. The two-phase material is subject to a remote tension σ and a uniform change in temperature ΔT.
Grahic Jump Location
The finite element mesh used for the two inclusion geometries
Grahic Jump Location
The eigenvalues for (a) the diamond-shaped inclusion, γ=60 deg and (b) the square-shaped inclusion, γ=90 deg; both for material elastic mismatch parameters α and β=α/4. The eigenvalues ωp(p=1,2) are associated with the symmetric stress field while δ1 is associated with the skew-symmetric stress field.
Grahic Jump Location
Comparison between the nondimensional constant Qω1 obtained in the present analysis using the integral method and that obtained by the body force method (7), for a diamond-shaped inclusion subjected to remote uniaxial tension. The material parameter β=α/4.
Grahic Jump Location
The comparison between the asymptotic solution (dashed-dashed line) and finite element prediction (solid line) of σθθ near interface junction R for the diamond-shaped inclusion subjected to a remote uniaxial tension σ. (a) r=0.003h and (b) r=0.06h; where r is the radial distance from the interface junction and h is half the major diagonal of the inclusion. The elastic mismatch parameters are α=0.5 and β=α/4.
Grahic Jump Location
The comparison between asymptotic solution (dashed-dashed line) and the finite element prediction (solid line) of σθθ near interface junction R for the diamond-shaped inclusion subject to a thermal load σo. (a) r=0.003h and (b) r=0.06h; where r is the radial distance from the interface corner and h is half the major diagonal of the inclusion. The elastic mismatch parameters are α=0.5 and β=α/4.

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In