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TECHNICAL PAPERS

Use of Graded Finite Elements to Model the Behavior of Nonhomogeneous Materials

[+] Author and Article Information
M. H. Santare, J. Lambros

Department of Mechanical Engineering, University of Delaware, Newark, NJ 19716

J. Appl. Mech 67(4), 819-822 (May 05, 2000) (4 pages) doi:10.1115/1.1328089 History: Received February 01, 2000; Revised May 05, 2000
Copyright © 2000 by ASME
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References

Erdogan,  F., 1995, “Fracture Mechanics of Functionally Graded Materials,” Composites Eng., 5, No. 7, pp. 753–770.
Delale,  F., and Erdogan,  F., 1993, The Crack Problem for a Nonhomogeneous Plane,” J. Appl. Mech., 50, pp. 609–614.
Konda,  N., and Erdogan,  F., 1994, “The Mixed Mode Crack Problem in a Nonhomogeneous Elastic Medium,” Eng. Fract. Mech., 47, No. 4, pp. 533–545.
Erdogan,  F., and Wu,  B. H., 1997, “The Surface Crack Problem for a Plate With Functionally Graded Properties,” ASME J. Appl. Mech., 64, pp. 449–456.
Gu,  P., and Asaro,  R. J., 1997, “Cracks in Functionally Graded Materials,” Int. J. Solids Struct., 34, pp. 1–7.
Gu,  P., and Asaro,  R. J., 1997, “Cracks Deflection in Functionally Graded Materials,” Int. J. Solids Struct., 34, pp. 3085–3098.
Gu,  P., Dao,  M., and Asaro,  R. J., 1999, “A Simplified Method for Calculating the Crack Tip Field of Functionally Graded Materials Using the Domain Integral,” ASME J. Appl. Mech., 66, pp. 101–108.
Anlas,  G., Santare,  M. H., and Lambros,  J., 2000, “Numerical Calculation of Stress Intensity Factors in Functionally Graded Materials,” Int. J. Fract., 104, No. 2, pp. 131–143.
Li,  H., Lambros,  J., Cheeseman,  B. A., and Santare,  M. H., 2000, “Experimental Investigation of the Quasi-Static Fracture of Functionally Graded Materials,” Int. J. Solids Struct., 37, No. 27, pp. 3715–3732.
Bathe, K.-J., and Wilson, E. L., 1976, Numerical Methods in Finite Element Analysis, Prentice-Hall, Englewood Cliffs, NJ.
Delale,  F., and Erdogan,  F., 1983, “The Crack Problem for a Nonhomogeneous Plane,” ASME J. Appl. Mech., 50, pp. 609–614.

Figures

Grahic Jump Location
Finite nonhomogeneous plate subjected to a uniform displacement or traction; (a) perpendicular to the material gradient direction, (b) parallel to the material gradient direction
Grahic Jump Location
Normalized stress component versus position in nonhomogeneous plate subjected to uniform displacement in the y-direction
Grahic Jump Location
Normalized stress component versus position in nonhomogeneous plate subjected to uniform traction in the y-direction
Grahic Jump Location
Normalized stress component versus position in nonhomogeneous plate subjected to uniform traction in the x-direction
Grahic Jump Location
Rescaling of the data from Fig. 4 for a single graded element

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