0
TECHNICAL PAPERS

The Elastic-Viscoelastic Correspondence Principle for Functionally Graded Materials, Revisited

[+] Author and Article Information
S. Mukherjee

Department of Theoretical and Applied Mechanics, Cornell University, Kimball Hall, Ithaca, NY 14853   e-mail: sm85@cornell.edu

Glaucio H. Paulino

Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Newmark Laboratory, 205 North Mathews Avenue, Urbana, IL 61801e-mail: paulino@uiuc.edu

J. Appl. Mech 70(3), 359-363 (Jun 11, 2003) (5 pages) doi:10.1115/1.1533805 History: Received November 06, 2001; Revised June 07, 2002; Online June 11, 2003
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.

References

Paulino,  G. H., and Jin,  Z.-H., 2001, “Correspondence Principle in Viscoelastic Functionally Graded Materials,” ASME J. Appl. Mech., 68, pp. 129–132.
Reiter,  T., Dvorak,  G. J., and Tvergaard,  V., 1997, “Micromechanical Models for Graded Composite Materials,” J. Mech. Phys. Solids, 45, pp. 1281–1302.
Noda,  N., 1999, “Thermal Stresses in Functionally Graded Materials,” J. Therm. Stresses, 22, pp. 477–512.
Erdogan,  F., 1995, “Fracture Mechanics of Functionally Graded Materials,” Composites Eng., 5, pp. 753–770.
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.
Paulino,  G. H., and Jin,  Z.-H., 2001, “A Crack in a Viscoelastic Functionally Graded Material Layer Embedded Between Two Dissimilar Homogeneous Viscoelastic Layers—Antiplane Shear Analysis,” Int. J. Fract., 68, 283–303.
Jin,  Z.-H., and Paulino,  G. H., 2002, “A Viscoelastic Functionally Graded Strip Containing a Crack Subjected to In-Plane Loading,” Eng. Fract. Mech., 69, pp. 1769–1790.
Yang,  Y. Y., 2000, “Time-Dependent Stress Analysis in Functionally Graded Materials,” Int. J. Solids Struct., 37, pp. 7593–7608.
Paulino, G. H., Chan, Y. S., and Fannjiang, A. C., 2002, “Gradient Elasticity Theory for Mode III Fracture in Functionally Graded Materials—Part I. Crack Perpendicular to the Material Gradation,” ASME J. Appl. Mech., in press.
Reddy,  J. N., 2000, “Analysis of Functionally Graded Plates,” Int. J. Numer. Methods Eng., 47, pp. 663–684.
Aboudi,  J., Pindera,  M. J., and Arnold,  S. M., 1997, “Microstructural Optimization of Functionally Graded Composites Subjected to a Thermal Gradient via the Coupled Higher-Order Theory,” Composites, Part B, 28, pp. 93–108.
Hirai,  T., 1996, “Functionally Gradient Materials,” Mater. Sci. Technol., Vol. 17B Processing of Ceramics, Part 2, R. J. Brook, ed., VCH Verlagsgesellschaft mbH, Weinheim, Germany, pp. 292–341.
Paulino, G. H., Jin, Z.-H., and Dodds, R. H., 2002, “Failure of Functionally Graded Materials,” Comprehensive Structural Integrity, Vol. 2, B. Karihaloo and W. G. Knauss, eds., Elsevier, New York, Chapter 13.
Suresh, S., and Mortensen, A., 1998, Fundamentals of Functionally Graded Materials, Institute of Materials, London.
Alex,  R., and Schovanec,  L., 1996, “An Anti-Plane Crack in a Nonhomogeneous Viscoelastic Body,” Eng. Fract. Mech., 55, pp. 727–735.
Herrmann,  J. M., and Schovanec,  L., 1990, “Quasi-Static Mode III Fracture in a Nonhomogeneous Viscoelastic Body,” Acta Mech., 85, pp. 235–249.
Herrmann,  J. M., and Schovanec,  L., 1994, “Dynamic Steady-State Mode III Fracture in a Non-Homogeneous Viscoelastic Body,” Acta Mech., 106, pp. 41–54.
Schovanec,  L., and Walton,  J. R., 1987, “The Quasi-Static Propagation of a Plane Strain Crack in a Power-Law Inhomogeneous Linearly Viscoelastic Body,” Acta Mech., 67, pp. 61–77.
Schovanec,  L., and Walton,  J. R., 1987, “The Energy Release Rate for a Quasi-Static Mode I Crack in a Nonhomogeneous Linear Viscoelastic Body,” Eng. Fract. Mech., 28, pp. 445–454.
Hilton, H. H., and Clements, J. R., 1964, “Formulation and Evaluation of Approximate Analogies for Transient Temperature Dependent Linear Visco-Elastic Media,” Proceedings of the Conference on Thermal Loading and Creep, Paper 12, pp. 6-17–6-24.
Hashin,  Z., 1965, “Viscoelastic Behavior of Heterogeneous Media,” ASME J. Appl. Mech., 32, pp. 630–636.
Schapery,  R. A., 1978, “A Method for Predicting Crack Growth in Nonhomogeneous Viscoelastic Media,” Int. J. Fract., 14, pp. 293–309.
Christensen, R. M., 1971, Theory of Viscoelasticity, Academic Press, New York.

Figures

Grahic Jump Location
One-dimensional example; (a) nonhomogeneous Maxwell material; (b) bar under tensile loading

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