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TECHNICAL PAPERS

Linear Thermoelastic Higher-Order Theory for Periodic Multiphase Materials

[+] Author and Article Information
J. Aboudi

Tel-Aviv University, Ramat-Aviv 69978, Israel

M.-J. Pindera

Civil Engineering Department University of Virginia, Charlottesville, VA 22903

S. M. Arnold

NASA Glenn Research Center, Cleveland, OH 44135

J. Appl. Mech 68(5), 697-707 (Feb 12, 2001) (11 pages) doi:10.1115/1.1381005 History: Received August 21, 2000; Revised February 12, 2001
Copyright © 2001 by ASME
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References

Hill,  R., 1963, “Elastic Properties of Reinforced Solids: Some Theoretical Principles,” J. Mech. Phys. Solids, 11, pp. 357–372.
Walker,  K. P., Freed,  A. D., and Jordan,  E. H., 1991, “Microstress Analysis of Periodic Composites,” Composites Eng., 1, pp. 29–40.
Christensen, R. M., 1979, Mechanics of Composite Materials, John Wiley and Sons, New York.
Aboudi, J., 1991, Mechanics of Composite Materials: A Unified Micromechanical Approach, Elsevier, Amsterdam.
Hollister,  S. J., and Kikuchi,  N., 1992, “A Comparison of Homogenization and Standard Mechanics Analyses for Periodic Porous Composites,” Computational Mech., 10, pp. 73–95.
Nemat-Nasser, S., and Horii, M., 1993, Micromechanics: Overall Properties of Heterogeneous Materials, North-Holland, New York.
Parton, V. Z., and Kudryavtsev, B. A., 1993, Engineering Mechanics of Composite Structures, CRC Press, Boca Raton, FL.
Arnold,  S. M., Pindera,  M.-J., and Wilt,  T. E., 1996, “Influence of Fiber Architecture on the Inelastic Response of Metal Matrix Composites,” Int. J. Plast., 12, No. 4, pp. 507–545.
Kalamkarov, A. L., and Kolpakov, A. G., 1997, Analysis, Design and Optimization of Composite Structures, John Wiley and Sons, New York.
Banks-Sills,  L., Leiderman,  V., and Fang,  D., 1997, “On the Effect of Particle Shape and Orientation on Elastic Properties of Metal Matrix Composites,” Composites, Part B, 28, No. 4, pp. 465–481.
Aboudi,  J., Pindera,  M.-J., and Arnold,  S. M., 1999, “Higher-Order Theory for Functionally Graded Materials,” Composites, Part B, 30, No. 8, pp. 777–832.
Paley,  M., and Aboudi,  J., 1992, “Micromechanical Analysis of Composites by the Generalized Method of Cells,” Mech. Mater., 14, pp. 127–139.
Aboudi,  J., Pindera,  M.-J., and Arnold,  S. M., 1996, “Thermoelastic Theory for the Response of Materials Functionally Graded in Two Directions,” Int. J. Solids Struct., 33, No. 7, pp. 931–966.
Levin,  V. M., 1967, “On the Coefficients of Thermal Expansion of Heterogeneous Materials,” Mekh. Tverd. Tela, 1, pp. 88, in Russian.
Schapery,  R. A., 1968, “Thermal Expansion Coefficients of Composite Materials Based on Energy Principles,” J. Compos. Mater., 2, pp. 380.
Sun,  C. T., and Vaidya,  R. S., 1996, “Prediction of Composite Properties From a Representative Volume Element,” Compos. Sci. Technol., 56, pp. 171–179.
Tamma, K. K., and Avila, A. F., 1999, “An Integrated Micro/Macro Modeling and Computational Methodology for High Temperature Composites,” Thermal Stresses 5, R. B. Hetnarski, ed., Lastran Corporation, Rochester, NY, pp. 143–256.
Aboudi,  J., 1996, “Micromechanical Analysis of Composites by the Method of Cells—Update,” Appl. Mech. Rev., 49, No. 10, Part 2 pp. S83–S91.

Figures

Grahic Jump Location
A multiphase composite with a periodic microstructure in the x2–x3 plane characterized by a repeating unit cell (highlighted)
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(a) Volume discretization of the repeating unit cell employed in the present model, (b) generic cell within the repeating unit cell
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Volume discretization of the repeating unit cell employed in the analysis of a boron/aluminum unidirectional composite with a fiber volume fraction of 0.47
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Volume discretization of the repeating unit cell employed in the analysis of a glass/epoxy unidirectional composite with a fiber volume fraction of 0.05
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Comparison of the σ22 stress contours in the repeating unit cell of a glass/epoxy unidirectional composite generated by the present theory (a) and the exact analytical solution (b), (colorbar scale in MPa)
Grahic Jump Location
Comparison of the σ23 stress contours in the repeating unit cell of a glass/epoxy unidirectional composite generated by the present theory (a) and the exact analytical solution (b), (colorbar scale in MPa)
Grahic Jump Location
Comparison of the σ22 stress distributions in the y3=0.5 (a) and y2=0.5 (b) cross section of the repeating unit cell of a glass/epoxy unidirectional composite generated by the present theory and the exact analytical solution

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