0
TECHNICAL PAPERS

On the Mechanical Modeling of Functionally Graded Interfacial Zone With a Griffith Crack: Anti-Plane Deformation

[+] Author and Article Information
Y.-S. Wang

Institute of Engineering Mechanics, Northern Jiaotong University, Beijing, 100044, People’s Republic of Chinae-mail: yswang@center.njtu.edu.cn

G.-Y. Huang

Institute of Engineering Mechanics, Northern Jiaotong University, Beijing, 100044, People’s Republic of China

D. Dross

Institute of Mechanics, Technical University of Darmstadt, Hochschulstr 1, D-64289, Darmstadt, Germany

J. Appl. Mech 70(5), 676-680 (Oct 10, 2003) (5 pages) doi:10.1115/1.1598476 History: Received September 19, 2001; Revised April 02, 2003; Online October 10, 2003
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.

References

Erdogan,  F., 1995, “Fracture-Mechanics of Functionally Graded Materials,” Composites Eng., 5, pp. 753–770.
Jin,  Z.-H., and Noda,  N., 1994, “Crack-tip Singular Fields in Nonhomogeneous Materials,” ASME J. Appl. Mech., 61, pp. 738–740.
Jin,  Z. H., and Batra,  R. C., 1996, “Some Basic Fracture Mechanics Concepts in Functionally Graded Materials,” J. Mech. Phys. Solids, 44, pp. 1221–1235.
Delale,  F., and Erdogan,  F., 1988, “On the Mechanical Modeling of the Interfacial Region in Bonded Half-Plane,” ASME J. Appl. Mech., 55, pp. 317–324.
Erdogan,  F., Kaya,  A. C., and Joseph,  P. F., 1991, “The Mode-III Crack Problem in Bonded Materials With a Nonhomogeneous Interfacial Zone,” ASME J. Appl. Mech., 58, pp. 419–427.
Ozturk,  M., and Erdogan,  F., 1993, “Antiplane Shear Crack Problem in Bonded Materials With a Graded Interfacial Zone,” Int. J. Eng. Sci., 31, pp. 1641–1657.
Ozturk,  M., and Erdogan,  F., 1995, “An Axisymmetrical Crack in Bonded Materials With a Nonhomogeneous Interfacial Zone Under Torsion,” ASME J. Appl. Mech., 62, pp. 116–125.
Ozturk,  M., and Erdogan,  F., 1996, “Axisymmetric Crack Problem in Bonded Materials With a Graded Interfacial Region,” Int. J. Solids Struct., 33, pp. 193–219.
Fildis,  H., and Yahsi,  O. S., 1996, “The Axisymmetric Crack Problem in a Non-Homogeneous Interfacial Region Between Homogeneous Half-Spaces,” Int. J. Fract., 78, pp. 139–164.
Fildis,  H., and Yahsi,  O. S., 1997, “The Mode III Axisymmetric Crack Problem in a Non-Homogeneous Interfacial Region Between Homogeneous Half-Spaces,” Int. J. Fract., 85, pp. 35–45.
Choi,  H. J., Lee,  K. Y., and Jin,  T. E., 1998, “Collinear Cracks in a Layered Half-Plane With a Graded Nonhomogeneous Interfacial Zone-Part I: Mechanical Response,” Int. J. Fract., 94, pp. 103–122.
Choi,  H. J., Jin,  T. E., and Lee,  K. Y., 1998, “Collinear Cracks in a Layered Half-Plane With a Graded Nonhomogeneous Interfacial Zone-Part II: Thermal Shock Response,” Int. J. Fract., 94, pp. 123–135.
Shbeeb,  N. I., and Binienda,  W. K., 1999, “Analysis of an Interface Crack for a Functionally Graded Strip Sandwiched Between Two Homogeneous Layers of Finite Thickness,” Eng. Fract. Mech., 64, pp. 693–720.
Shbeeb,  N. I., Binienda,  W. K., and Kreider,  K., 2000, “Analysis of the Driving Force for a Generally Oriented Crack in a Functionally Graded Strip Sandwiched Between Two Homogeneous Half Planes,” Int. J. Fract., 104, pp. 23–50.
BaBaei,  R., and Lukasiewicz,  S. S., 1998, “Fracture in Functionally Gradient Materials Subjected to the Time-Dependent Anti-Plane Shear Load,” Z. Angew. Math. Mech., 78, pp. 383–390.
Noda,  N., and Jin,  Z. H., 1993, “Thermal Stress Intensity Factors for a Crack in a Strip of a Functionally Gradient Material,” Int. J. Solids Struct., 30, pp. 1039–1056.
Erdogan,  F., and Wu,  B. H., 1996, “Crack Problems in FGM Layers Under Thermal Stresses,” J. Therm. Stresses, 19, pp. 237–265.
Paulino,  G. H., and Jin,  Z. H., 2001, “Viscoelastic Functionally Graded Materials Subjected to Antiplane Shear Fracture,” ASME J. Appl. Mech., 68, pp. 284–293.
Craster,  R. V., and Atkinson,  C., 1994, “Mixed Boundary Value Problems in Non-Homogeneous Elastic Materials,” Q. J. Math., 47, pp. 183–206.
Wang,  X. Y., Wang,  D., and Zou,  Z. Z., 1996, “On the Griffith Crack in a Nonhomogeneous Interlayer of Adjoining Two Different Elastic Materials,” Int. J. Fract., 79, pp. R51–R56.
Dhaliwal,  R. S., Saxena,  H. S., and He,  W. H., 1992, “Stress Intensity Factor for the Cylindrical Interface Crack Between Nonhomogeneous Coaxial Finite Elastic Cylinders,” Eng. Fract. Mech., 43, pp. 1039–1051.
Han,  X. L., and Duo,  W., 1996, “The Crack Problem of a Fiber-Matrix Composite With a Nonhomogeneous Interfacial Zone Under Torsional Loading. 1. A Cylindrical Crack in the Interfacial Zone,” Eng. Fract. Mech., 54, pp. 63–69.
Wang,  B. L., Han,  J. C., and Du,  S. Y., 1999, “Dynamic Response for Functionally Graded Materials With Penny-Shaped Cracks,” Acta Mechanica Solida Sin., 12, pp. 106–113.
Itou,  S., and Shima,  Y., 1999, “Stress Intensity Factors Around a Cylindrical Crack in an Interfacial Zone in Composite Materials,” Int. J. Solids Struct., 36, pp. 697–709.
Ewing, W. M., Jardetzky, W. S., and Press, F., 1957, Elastic Waves in Layered Media, McGraw-Hill, New York.
Gao,  H., 1991, “Fracture Analysis of Non-Homogeneous Materials via a Moduli-Perturbation Approach,” Int. J. Solids Struct., 27, pp. 1663–1682.
Erguven,  M. E., and Gross,  D., 1999, “On the Penny-Shaped Crack in Inhomogeneous Elastic Materials Under Normal Extension,” Int. J. Solids Struct., 36, pp. 1869–1882.
Abramowitz, M., and Stegun, I. A., 1965, Handbook of Mathematical Functions, Dover, New York.
Erdogan,  F., and Gupta,  G. D., 1972, “On the Numerical Solution of Singular Integral Equations,” Quart. Appl. Math., 29, pp. 525–534.
Wang,  Y. S., and Wang,  D., 1996, “Scattering of Elastic Waves by a Rigid Cylindrical Inclusion Partially Debonded From its Surrounding Matrix-I. SH Case,” Int. J. Solids Struct., 33, pp. 2789–2815.
Nozaki,  H., and Shindo,  Y., 1998, “Effect of Interface Layers on Elastic Wave Propagation in a Fiber-Reinforced Metal-Matrix Composite,” Int. J. Eng. Sci., 36, pp. 383–394.

Figures

Grahic Jump Location
Two dissimilar half spaces bonded through a FGM interfacial zone with a Griffith crack (a) and the new multilayered model of the FGM interface layer (b)
Grahic Jump Location
Variation of SIF’s with c/h0 for μ* /μ=22, with comparison between Erdogan’s model, the PWML model, and the present new model, for exponential variation of the shear modulus of the FGM interface layer
Grahic Jump Location
Variation of SIF’s with c/h0 for μ* /μ=22, with comparison between the PWML model and the present new model, for cosine variation of the shear modulus of the FGM interface layer

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