Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-23T11:52:32.929Z Has data issue: false hasContentIssue false
  • English
  • Français

Elastic Green's function for a composite solid with a planar crack in the interface

Published online by Cambridge University Press:  31 January 2011

V. K. Tewary ,
R. H. Wagoner  and
J. P. Hirth
V. K. Tewary
Affiliation:
Department of Materials Science and Engineering, The Ohio State University, 116 West 19th Avenue, Columbus, Ohio 43210
R. H. Wagoner
Affiliation:
Department of Materials Science and Engineering, The Ohio State University, 116 West 19th Avenue, Columbus, Ohio 43210
J. P. Hirth
Affiliation:
Department of Materials Science and Engineering, The Ohio State University, 116 West 19th Avenue, Columbus, Ohio 43210
Get access

Abstract

The elastic Green's functions for displacements and stresses have been calculated for a composite solid containing a planar crack in a planar interface using the Green's function derived in a previous paper for a line load parallel to the composite interface. The resulting functions can be used to calculate the stress or displacement at any point in the composite for a variety of elastic singularities. As specific applications, the Mode I stress intensity factor of an interfacial crack was calculated as were the Green's functions for the semi-infinite antiplane strain case. The Mode I case shows the near-crack tip oscillations reported by other authors while the Mode III case does not. The newly devised Green's functions are shown to reproduce the results of other authors in the isotropic limit.

Type
Articles
Information
Journal of Materials Research , Volume 4 , Issue 1 , February 1989 , pp. 124 - 136
Copyright
Copyright © Materials Research Society 1989

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1Eshelby, J.D., Solid State Phys., edited by Seitz, F. and Turnbull, D. (Academic Press, New York, 1956), Vol. 3, p. 79.Google Scholar
2Hirth, J.P. and Lothe, J., Theory of Dislocations, 2nd ed. (Wiley Interscience, New York), 1982.Google Scholar
3Tewary, V.K., Adv. in Phys. 22, 757 (1973).CrossRefGoogle Scholar
4Hirth, J. P. and Wagoner, R. H., Int. J. Solids Struct. 12, 117 (1976).CrossRefGoogle Scholar
5Stroh, A.N., J. Math. Phys. 41, 77 (1962).Google Scholar
6Barnett, D.M., Phys. Stat. Sol. 49b, 741 (1972).Google Scholar
7Barnett, D. M. and Lothe, J., Phys. Norvegica 7, 13 (1973).Google Scholar
8Rice, J.R., Fracture (Academic Press, New York, 1968), Vol. II, p. 191.Google Scholar
9Thomson, R.M., Solid State Phys. 39, 1 (1986).Google Scholar
10England, A.H., J. Appl. Mech. 32, 400 (1965).CrossRefGoogle Scholar
11Rice, J.R. and Sih, G.C., J. Appl. Mech. 32, 418 (1965).Google Scholar
12Willis, J.R., J. Mech. Phys. Solids 19, 353 (1971).CrossRefGoogle Scholar
13Clements, D.L., Int. J. Enging. Sci. 9, 256 (1971).Google Scholar
14Sinclair, J. E. and Hirth, J. P., J. Phys. F (Metal Phys.) 5, 236 (1975).Google Scholar
15Tewary, V.K., Wagoner, R.H., and Hirth, J. P., J. Mater. Res. 4, 113 (1989).Google Scholar
16Muskhelishvili, N. I., Some Basic Problems of the Mathematical Theory of Elasticity (Noordhoff, Groningen, 1953).Google Scholar
17Muskhelishvili, N. I., Singular Integral Equations (Noordhoff, Groningen, 1977).CrossRefGoogle Scholar