Closed-form thermoelastic moduli of a periodic three-phase fiber-reinforced composite

Journal of Thermal Stresses

Volumn 28, Issue 10, 2005, Pages 1067-1093

  Guinovart Diaz R ^a   Rodriguez Ramos R ^a   Bravo Castillero, J ^a   Sabina, F J ^b   Maugin, G A ^c  

^a UNIVERSITY OF HAVANA   (Cuba)

^b IIMAS UNAM   (Mexico)

^c SORBONNE UNIVERSITÉ   (France)

Author keywords

Asymptotic homogenization; Effective properties; Fiber composites; Interphases; Thermoelasticity

Indexed keywords

COMPOSITE MATERIALS; ELASTIC MODULI; FIBER REINFORCED MATERIALS; INTERFACES (MATERIALS); MATHEMATICAL MODELS;

ASYMPTOTIC HOMOGENIZATION METHOD (AHM); BINARY FIBER COMPOSITE; INTERPHASE EFFECT; SCALE RATIO;

THERMOELASTICITY;

EID: 25444453547     PISSN: 01495739     EISSN: None     Source Type: Journal    
DOI: 10.1080/014957390967730     Document Type: Article

References (34)

1. P. S. Theocaris, The Unfolding Model for the Representation of the Mesophase Layer in Composites, J. Polym. Sci., vol. 30, pp. 621-645, 1985.
2. P. S. Theocaris, E. P. Sideridis, and A. G. Papanicolau, The Elastic Longitudinal Modulus and Poisson's Ratio of Fiber Composites, J. Reinfor. Plast. Compos., vol. 4, pp. 396-418, 1986.
3. P. S. Theocaris and A. G. Varias, The Influence of the Mesophase on the Tranverse and Longitudinal Moduli and the Major Poisson's Ratio in Fibrous Composites, Colloid Polym. Sci., vol. 264, pp. 561-569, 1986.
4. N. J. Pagano and G. P. Tandon, Elastic Response of Multidirectional Coated-Fiber Composites, Compos. Sci. Technol., vol. 31, pp. 273-293, 1988.
5. N. J. Pagano and G. P. Tandon, Thermo-elastic Model for Multidirectional Coated-Fiber Composites: Traction Formulation, Compos. Sci. Technol., vol. 38, pp. 247-269, 1990.
6. M. Sutcu, A Recursive Concentric Cylinder Model for Composites Containing Coated Fibers, Int. J. Solid Struct., vol. 29, pp. 197-213, 1992.
7. Z. Hashin, Analysis of Properties of Fiber Composites with Anisotropic Constituents, J. Appl. Mech., vol. 46, pp. 543-550, 1979.
8. R. M. Christensen, Mechanics of Composite Materials, p. 84-89, John Wiley, New York, 1979.
9. A. Dasgupta and S. M. Bhandarkar, A Generalized Self-Consistent Mori-Tanaka Scheme for Fiber-Composites with Multiple Interphases, Mech. Mater., vol. 14, pp. 67-82, 1992.
10. Y. Benveniste, G. J. Dvorak, and T. Chen, Stress Fields in Composites with Coated Inclusions, Mech. Mater., vol. 7, pp. 305-317, 1989.
11. Z. Hashin, Thermoelastic Properties of Fiber Composites with Imperfect Interface, Mech. Mater., vol. 8, pp. 333-348, 1990.
12. J. R. Yeh, The Effect of Interphase on the Transverse Properties of Composites, Int. J. Solid Stress., vol. 29, no. 20, pp. 2493-2502, 1992.
13. M. Lagache, A. Agbossou, and J. Pastor, Role of Interphase on Elastic Behavior of Composite Materials: Theoretical and Experimental Analysis, J. Compos. Mater., vol. 28, pp. 1141-1157, 1994.
14. Y. C. Chu and S. I. Rokhlin, Determination of Fiber-Matrix Interphase Moduli from Experimental Moduli of Composite with Multi-Layered Fibers, Mech. Mater., vol. 21, pp. 191-215, 1995.
15. C. S. Chouchaoui, and M. L. Benzeggagh, The Effect of Interphase on the Elastic Behavior of a Glass/Epoxy Bundle, Compos. Sci. Technol., vol. 57, pp. 617-622, 1997.
16. A. Agbossou and J. Pastor, Thermal Stresses and Thermal Expansion Coefficients of N-Layered Fiber-Reinforced Composites, Compos. Sci. Technol., vol. 57, pp. 249-260, 1997.
17. Y. J Liu, N. Xu, and J. F. Luo, Modeling of Interphases in Fiber-Reinforced Composites under Transverse Loading Using the Boundary Element Method, J. Appl. Mech., vol 67, pp. 41-49, 2000.
18. Z. Hashin, Thin Interphase/Imperfect Interface in Elasticity with Application to Coated Fiber Composites, J. Mech. Phys. Solids, vol. 50, pp. 2509-2537, 2002.
19. R. Rodríguez Ramos, F. J. Sabina, R. Guinovart Diaz, and J. Bravo Castillero, Closed-Form Expressions for the Effective Coefficients of Fiber-Reinforced Composite with Transversely Isotropic Constituents. I: Elastic and Square Symmetry, Mech. Mater., vol. 33, pp. 223-235, 2001.
20. R. Guinovart-Diaz, J. Bravo-Castilero, R. Rodriguez-Ramos, and F. J. Sabina, Closed-Form Expressions for the Effective Coefficients of a Fiber-Reinforced Composite with Transversely Isotropic Constituents-I Elastic and Hexagonal Symmetry, J. Mech. Phys. Solids, vol. 49, pp. 1445-1462, 2001.
21. D. Golanski, K. Terada, and N. Kikuchi, Macro and Micro Scale Modeling of Thermal Residual Stresses in Metal Matrix Composite Surface Layers by the Homogenization Method, Comput. Mech., vol. 19, no. 3, pp. 188-202, 1997.
22. K. Terada and N. Kikuchi, Global-Local Constitutive Modeling of Composite Materials by the Homogenization Method, Mater. Sci. Res. Int., vol.2, no. 2, pp. 73-80, 1996.
23. H. Berger, U. Gabbert, H. Köppe, R. Rodriguez-Ramos, J. Bravo-Castillero, R. Guinovart-Diaz, J. A. Otero, and G. A. Maugin, Finite Element and Asymptotic Homogenization Methods Applied to Smart Composite Materials, Comput. Mech., vol. 33, pp. 61-67, 2003.
24. G. Laschet, Homogenization of the Thermal Properties of Transpiration Cooled Multi-Layer Plates, Comput. Meth. Appl. Mech. Eng., vol. 191, pp. 4535-4554, 2002.
25. W. Nowacki, Dynamic Problems of Thermoelasticity, Polish Scientific Publishers, Warszawa, Poland, 1975.
26. B. E. Pobedrya, Mechanics of Composite Materials, Moscow State University Press, Moscow (in Russian), 1984.
27. V. Z. Parton and B. A. Kudryavtsev, Engineering Mechanics of Composite Structures, CRC Press, Boca Raton, Fl, 1993.
28. R. Hill, Theory of Mechanical Properties of Fibre-Strengthened Materials: I. Elastic Behavior, J. Mech. Phys. Solids, vol. 12, pp. 199-212, 1964.
29. C. N. Wen, Theoretical Approach to Coupled Thermal-Electrical-Mechanics Properties of Inhomogeneous Media, Phys. Rev. B., vol. 49, pp. 12619-12624, 1994.
30. T. Chen, Piezoelectric Properties of Multiphase Fibrous Composites: Some Theoretical Results, J. Mech. Phys. Solids, vol. 41, no. 11, pp 1781-1794, 1993.
31. J. B. Keller, A Theorem of Conductivity of a Composite Medium, J. Math. Phys., vol. 5, no. 4, pp. 548-549, 1964.
32. Z. Hashin and B. W. Rosen, The Elastic Moduli of Fiber-Reinforced Materials, J. Appl. Mech., vol. 31, pp. 223-232, 1964.
33. E. I. Grigolyuk and L. A. Fil'shtinskii, Perforated Plates and Shells, Nauka, Moscow (in Russian), 1970.
34. A. B. Movchan, N. A. Nicorovici, and R. C. McPhedran, Green's Tensor and Lattice Sums for Elastostatics and Elastodynamics, Proc. R. Soc. Lond. A, vol. 453, pp. 643-662, 1997.