0
TECHNICAL PAPERS

The Near-Tip Stress Intensity Factor for a Crack Partially Penetrating an Inclusion

[+] Author and Article Information
Zhonghua Li, Lihong Yang

School of Civil Engineering and Mechanics, Shanghai Jiaotong University, 200240 Shanghai Minhang, P.R. China

J. Appl. Mech 71(4), 465-469 (Sep 07, 2004) (5 pages) doi:10.1115/1.1651539 History: Received October 10, 2001; Revised September 19, 2003; Online September 07, 2004
Copyright © 2004 by ASME
Your Session has timed out. Please sign back in to continue.

References

Hutchinson,  J. C., 1987, “Crack Tip Shielding by Micro-Cracking in Brittle Solids,” Acta Metall., 35, pp. 1605–1619.
Steif,  P. S., 1987, “A Semi-Infinite Crack Partially Penetrating a Circular Inclusion,” ASME J. Appl. Mech., 54, pp. 87–92.
Erdogan,  F., and Gaupta,  G. D., 1975, “The Inclusion Problem With a Crack Crossing the Boundary,” Int. J. Fract., 11, pp. 13–27.
Li,  R., and Chudnovsky,  A., 1993, “Energy Analysis of Crack Interaction With an Elastic Inclusion,” Int. J. Fract., 63, pp. 247–261.
Evans,  A. G., and Faber,  K. T., 1981, “Toughening of Ceramics by Circumferential Microcracking,” J. Am. Ceram. Soc., 64, pp. 394–398.
McMeeking,  R. M., and Evans,  A. G., 1982, “Mechanics of Transformation Toughening in Bittle Materials,” J. Am. Ceram. Soc., 65, pp. 242–246.
Eshelby,  J. D., 1957, “The Determination of the Elastic Fields of an Ellipsoidal Inclusion, and Related Problems,” Proc. R. Soc. London, Ser. A, 241, pp. 376–396.
Withers,  D. J., Stobbs,  W. M., and Pedersen,  O. B., 1989, “The Application of the Eshelby Method of Internal Stress Determination to Short Fibre Metal Matrix Composites,” Acta Metall., 37, pp. 3061–3084.
Moschobidis,  Z. A., and Mura,  T., 1975, “Two Ellipsoidal Inhomegeneities by the Equivalent Inclusion Method,” ASME J. Appl. Mech., 42, pp. 847–852.
Taya,  M., and Chou,  T. W., 1981, “On Two Kinds Ellipsoidal Inhomegeneities in an Infinite Elastic Body: An Application to a Hybrid Composites,” Int. J. Solids Struct., 17, pp. 553–563.
Johnson,  W. C., Earmme,  Y. Y., and Lee,  J. K., 1980, “Approximation of the Strain Field Associated With an Inhomegeneous Pricipitate,” ASME J. Appl. Mech., 47, pp. 775–780.
Lambropoulos,  J. C., 1986, “Shear, Shape and Orientation Effects in Transformation Toughening in Ceramics,” Int. J. Solids Struct., 22, pp. 1083–1106.
Budiansky,  B., Hutchinson,  J. W., and Lambropoulos,  J. C., 1983, “Continuum Theory of Dilatant Transformation Toughening in Ceramics,” Int. J. Solids Struct., 19, pp. 337–355.
Mura, T., 1987, Micromechanics of Defects in Solids, Second Rev. Ed., Kluwer, Dordrecht, The Netherlands.

Figures

Grahic Jump Location
Definitions of auxiliary problems (b) and (c) and their use in construction of the solution to the primary problem (a)
Grahic Jump Location
Spherical geometry used to infer solution to auxiliary problem (c) shown in Fig. 1
Grahic Jump Location
A comparison of the selected results for a circular inclusion centered at the crack tip
Grahic Jump Location
A comparison of the results calculated from Eq. (3.12), the modified lowest-order solution and finite element analysis for a square inclusion
Grahic Jump Location
A comparison of the results calculated from the modified Eq. (3.16) and finite element analyses for a circular inclusion in which both elastic modulus and Poisson’s ratio differ from those of matrix material

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