Correspondence Principle in Viscoelastic Functionally Graded Materials

[+] Author and Article Information
G. H. Paulino, Z.-H. Jin

Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801

J. Appl. Mech 68(1), 129-132 (Jun 14, 2000) (4 pages) doi:10.1115/1.1331286 History: Received January 18, 2000; Revised June 14, 2000
Copyright © 2001 by ASME
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Reiter,  T., Dvorak,  G. J., and Tvergaard,  V., 1997, “Micromechanical Models for Graded Composite Materials,” J. Mech. Phys. Solids, 45, pp. 1281–1302.
Cai,  H., and Bao,  G., 1998, “Crack Bridging in Functionally Graded Coatings,” Int. J. Solids Struct., 35, pp. 701–717.
Erdogan,  F., 1995, “Fracture Mechanics of Functionally Graded Materials,” Composites Eng., 5, pp. 753–770.
Jin,  Z.-H., and Batra,  R. C., 1998, “R-Curve and Strength Behavior of a Functionally Graded Material,” Mater. Sci. Eng., A, 242, pp. 70–76.
Kawasaki,  A., and Watanabe,  R., 1987, “Finite Element Analysis of Thermal Stress of the Metals/Ceramics Multi-Layer Composites with Controlled Compositional Gradients,” J. Jpn. Inst. Met., 51, pp. 525–529.
Noda,  N., 1999, “Thermal Stresses in Functionally Graded Materials,” J. Therm. Stresses,22, pp. 477–512.
Paulino,  G. H., Fannjiang,  A. C., and Chan,  Y. S., 1999, “Gradient Elasticity Theory for a Mode III Crack in a Functionally Graded Material,” Mater. Sci. Forum, 308–311, pp. 971–976.
Reddy,  J. N., and Chin,  C. D., 1998, “Thermomechanical Analysis of Functionally Graded Cylinders and Plates,” J. Therm. Stresses,21, pp. 593–626.
Aboudi,  J., Pindera,  M. J., and Arnold,  S. M., 1999, “Higher-Order Theory for Functionally Graded Materials,” Composites, Part B, 30B, pp. 777–832.
Hirai, T., 1996, “Functionally Gradient Materials,” Processing of Ceramics, Part 2 (Materials Science and Technology, Vol. 17B), R. J. Brook, ed., VCH Verlagsgesellschaft mbH, Weinheim, Germany, pp. 292–341.
Suresh, S., and Mortensen, A., 1998, Fundamentals of Functionally Graded Materials, The Institute of Materials, IOM Communications Ltd., London.
Christensen, R. M., 1971, Theory of Viscoelasticity, Academic Press, New York.
Rice,  J. R., 1968, “A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks,” ASME J. Appl. Mech., 35, pp. 379–386.
Honein,  T., and Herrmann,  G., 1997, “Conservation Laws in Nonhomogeneous Plane Elastostatics,” J. Mech. Phys. Solids, 45, pp. 789–805.
Landes, J. D., and Begley, J. A., 1976, “A Fracture Mechanics Approach to Creep Crack Growth,” ASTM STP 590, American Society for Testing and Materials, Philadelphia, PA, pp. 128–148.
Schapery,  R. A., 1984, “Correspondence Principles and a Generalized J Integral for Large Deformation and Fracture Analysis of Viscoelastic Media,” Int. J. Fract., 25, pp. 195–223.




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