On the thermo-elasto-statics of composites with coated randomly distributed inclusions

International Journal of Solids and Structures

Volumn 37, Issue 23, 2000, Pages 3177-3200

  Buryachenko, V A ^a   Rammerstorfer, F G ^b  

^a AIR FORCE RESEARCH LABORATORY   (United States)

^b VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

A. Microstructures; B. Elastic material; B. Inhomogeneous material; B. Thermal stress

Indexed keywords

COMPOSITE MICROMECHANICS; ELECTRIC FIELD EFFECTS; GREEN'S FUNCTION; MICROSTRUCTURE; STRESS ANALYSIS; THERMAL EXPANSION; THERMAL STRESS; THERMOELASTICITY;

INHOMOGENEOUS MATERIALS;

COMPOSITE MATERIALS;

EID: 0033888742     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(98)00304-7     Document Type: Article

References (82)

1. Benveniste, Y., 1987. A new approach to application of Mori-Tanaka's theory in composite materials. Mech. Mater 6, 147-157.
2. Benveniste, Y., Dvorak, G.J., 1990. On a correspondence between mechanical and thermal effects in two-phase composite. In: Weng, G.J., Taya, M., Abe, H. (Eds.), Micromechanics and Inhomogeneity, The Toshio Mura 65th Anniversary Volume. Springer-Verlag, New York, pp. 65-81.
3. Benveniste, Y., Dvorak, G.J., Chen, T., 1989. Stress fields in composites with coated inclusions. Mech. Mater 7, 305-317.
4. Benveniste, Y., Dvorak, G.J., Chen, T., 1991. On diagonal and elastic symmetry of the approximate effective stiffness tensor of heterogeneous media. J. Mech. Phys. Solids 39, 929-946.
5. Buryachenko, V.A., 1987. Correlation function of stress fields in matrix composites. Izv. AN SSSR, Mekh. Tverd. Tela (3), 69-76. (In Russian) Engl. Transl. Mech. Solids 22, 66-73.
6. Buryachenko, V.A., 1987. Correlation function of stress fields in matrix composites. Izv. AN SSSR, Mekh. Tverd. Tela (3), 69-76. (In Russian) Engl. Transl. Mech. Solids 22, 66-73.
7. Buryachenko, V.A., 1996. The overall elastoplastic behavior of multiphase materials. Acta Mech 119, 93-117.
8. Buryachenko, V.A., 1998. Some nonlocal effects in graded random structure composites. Mech. Res. Commun 25, 117-122.
9. Buryachenko, V.A., 1999a. Triply periodical particulate matrix composites in varying external stress fields. Int. J. Solids Structures 36, 3837-3859.
10. Buryachenko, V.A., 1999b. Effective thermoelastic properties of graded doubly periodic particulate matrix composites in varying external stress fields. Int. J. Solids Structures 36, 3861-3885.
11. Buryachenko, V.A., Kreher, W.S., 1995. Internal residual stresses in heterogeneous solids - a statistical theory for particulate composites. J. Mech. Phys. Solids 43, 1105-1125.
12. Buryachenko, V.A., Lipanov, A.M., 1986a. Stress concentration at ellipsoidal inclusions and effective thermoelastic properties of composite materials. Prikl. Mekh. (11), 105-111. (In Russian) Engl. Transl. Soviet Appl. Mech. 22 (11), 1103-1109.
13. Buryachenko, V.A., Lipanov, A.M., 1986a. Stress concentration at ellipsoidal inclusions and effective thermoelastic properties of composite materials. Prikl. Mekh. (11), 105-111. (In Russian) Engl. Transl. Soviet Appl. Mech. 22 (11), 1103-1109.
14. Buryachenko, V.A., Lipanov, A.M., 1986b. Equations of mechanics for gas-saturated porous media. Priklad. Mekh. Tekhn. Fiz. (4), 106-109. (In Russian) Engl. Trans. J. Appl. Mech. Phys. 27, 577-581.
15. Buryachenko, V.A., Lipanov, A.M., 1986b. Equations of mechanics for gas-saturated porous media. Priklad. Mekh. Tekhn. Fiz. (4), 106-109. (In Russian) Engl. Trans. J. Appl. Mech. Phys. 27, 577-581.
16. Buryachenko, V.A., Parton, V.Z., 1990a. Effective parameters of statistically inhomogeneous matrix composites. Izv. AN SSSR, Mekh. Tverd. Tela. (6), 24-29. (In Russian) Engl. Transl. Mech. Solids 25, 22-28.
17. Buryachenko, V.A., Parton, V.Z., 1990a. Effective parameters of statistically inhomogeneous matrix composites. Izv. AN SSSR, Mekh. Tverd. Tela. (6), 24-29. (In Russian) Engl. Transl. Mech. Solids 25, 22-28.
18. Buryachenko, V.A., Parton, V.Z., 1990b. One-particle approximation of the effective field method in the statics of composites. Mekh. Kompoz. Mater. (3), 420-425. (In Russian) Engl. Transl. Mech. Compos. Mater. (26) (3), 304-309.
19. Buryachenko, V.A., Parton, V.Z., 1990b. One-particle approximation of the effective field method in the statics of composites. Mekh. Kompoz. Mater. (3), 420-425. (In Russian) Engl. Transl. Mech. Compos. Mater. (26) (3), 304-309.
20. Buryachenko, V.A., Parton, V.Z., 1992a. Multi-particle differential methods in the statics of composites. Priklad. Mekh. Tekhn. Fix. (3), 148-156. (In Russian) Engl. Transl. J. Appl. Mech. Tech. Phys. 33, 455-464.
21. Buryachenko, V.A., Parton, V.Z., 1992a. Multi-particle differential methods in the statics of composites. Priklad. Mekh. Tekhn. Fix. (3), 148-156. (In Russian) Engl. Transl. J. Appl. Mech. Tech. Phys. 33, 455-464.
22. Buryachenko, V.A., Parton, V.Z., 1992b. Effective strength parameters of composites in coupled physicomechanical fields. Prilad. Mekh. Tekhn. Fiz. (4), 124-130. (In Russian) Engl. Transl. J. Appl. Mech. Tech. Phys. 33, 589-593.
23. Buryachenko, V.A., Parton, V.Z., 1992b. Effective strength parameters of composites in coupled physicomechanical fields. Prilad. Mekh. Tekhn. Fiz. (4), 124-130. (In Russian) Engl. Transl. J. Appl. Mech. Tech. Phys. 33, 589-593.
24. Buryachenko, V.A., Parton, V.Z., 1992c. Effective field method in the statics of composites. Priklad. Mekh. Tekhn. Fiz. (5), 129-140. (In Russian) Engl. Trans. J. Appl. Mech. Tech. Phys. 33, 735-745.
25. Buryachenko, V.A., Parton, V.Z., 1992c. Effective field method in the statics of composites. Priklad. Mekh. Tekhn. Fiz. (5), 129-140. (In Russian) Engl. Trans. J. Appl. Mech. Tech. Phys. 33, 735-745.
26. Buryachenko, V.A., Rammerstorfer, F.G., 1996. Thinly coated inclusion with stress free strains in an elastic medium. Mech. Res. Commun 23, 505-509.
27. Buryachenko, V.A., Rammerstorfer, F.G., 1997. Elastic stress fluctuations in random structure particulate composites. Europ. J. Mech. A/Solids 16, 79-102.
28. Buryachenko, V.A., Rammerstorfer, F.G., 1998a. Micromechanics and nonlocal effects in graded random structure matrix composites. In: Bahei-El-Din, Y.A., Dvorak, G.J. (Eds.), IUTAM Symp. on Transformation Problems in Composite and Active Materials. Kluwer Academic Publishers, Dordrecht, pp. 197-206.
29. Buryachenko, V.A., Rammerstorfer, F.G., 1998b. Thermoelastic stress fluctuations in random structure coated particulate composites. Europ. J. Mech. A/Solids 17, 763-788.
30. Buryachenko, V.A., Rammerstorfer, F.G., 1999. On the thermoelasticity of random structure particulate composites. Z. Angew. Mech. Phys. 50, 934-947.
31. Buryachenko, V.A., Rammerstorfer, F.G., Plankensteiner, A.F., 1997. A local theory of elastoplastic deformations of random structure composites. Z. Angew. Math. Mech 7 (S1), S61-S62.
32. Buryachenko, V.A., Shermergor, T.D., 1995. Material and field characteristics of piezoelectric rocks. Some exact results. Fiz. Zemli (8), 32-42. (In Russian) Engl. Transl. Phys. of the Solid Earth 31, 665-674.
33. Buryachenko, V.A., Shermergor, T.D., 1995. Material and field characteristics of piezoelectric rocks. Some exact results. Fiz. Zemli (8), 32-42. (In Russian) Engl. Transl. Phys. of the Solid Earth 31, 665-674.
34. Chang, J.S., Cheng, C.H., 1992. Thermoelastic properties of composites with short coated fibers. Int. J. Solids Structures 29, 2259-2279.
35. Chen, H.S., Acrivos, A., 1978. The effective elastic moduli of composite materials containing spherical inclusions at non-dilute concentrations. Int. J. Solids Structures 14, 349-364.
36. Cherkaoui, M., Sabar, H., Berveiller, M., 1995. Elastic composites with coated reinforcements: a micromechanical approach for non homothetic topology. Int. J. Engng Sci 33, 829-843.
37. Christensen, R.M., 1979. Mechanics of Composite materials. Wiley Interscience, New York.
38. Christensen, R.M., Lo, K.H., 1979. Solutions for effective shear properties in three phase sphere and cylinder models. J. Mech. Phys. Solids 27, 315-330.
39. Dvorak, G.J., Benveniste, Y., 1992a. On the thermomechanics of composites with imperfectly bonded interfaces and damage. Int. J. Solids Structures 29, 2907-2919.
40. Dvorak, G.J., Benveniste, Y., 1992b. On transformation strains and uniform fields in multiphase elastic media. Proc. Roy. Soc. London, Ser A 437, 291-310.
41. Eshelby, J.D., 1961. Elastic inclusions and inhomogeneities. In: Sneddon, I.N., Hill, R. (Eds.), Progress in Solid Mechanics, vol. 2. North-Holland, Amsterdam, pp. 89-140.
42. Gel'fand, I.M., Shilov, G.E., 1964. Generalized Functions, vol. 1. Academic Press, New York.
43. Hashin, Z., 1962. The elastic moduli of heterogeneous materials. ASME J. Appl. Mech 29, 143-150.
44. Hashin, Z., 1991. Thermoelastic properties of particular composites with imperfect interface. J. Mech. Phys. Solids 39, 745-762.
45. Hashin, Z., Rosen, B.W., 1964. The elastic moduli of fiber-reinforced materials. ASME J. Appl. Mech 31, 223-232.
46. Hatta, Y., Taya, M., 1987. Thermal stress in a coated short fiber composite. J. Engng Mater 109, 59-63.
47. Hill, R., 1963. Elastic properties of reinforced solids: some theoretical principles. J. Mech. Phys. Solids 11, 357-372.
48. Hill, R., 1965. A self-consistent mechanics of composite materials. J. Mech. Phys. Solids 13, 212-222.
49. Hill, R., 1983. Interfacial operators in the mechanics of composite media. J. Mech. Phys. Solids 31, 347-357.
50. Huang, J.H., Furuhashi, R., Mura, T., 1993. Frictional sliding inclusions. J. Mech. Phys. Solids 41, 247-265.
51. Jasiuk, I., Kouider, M.W., 1993. The effect of an inhomogeneous interphase on the elastic constants of transversely isotropic composites. Mech. Mater 15, 53-63.
52. Jasiuk, I., Mura, T., Tsuchida, E., 1988. Thermal stresses and thermal expansion coefficient of short fiber composites with sliding interfaces. ASME J. Engng Mat. Tech 110, 96-100.
53. Kreher, W., 1988. Internal stresses and relations between effective thermoelastic properties of stochastic solids - some exact solutions. Z. Angew. Math. Mech 68, 147-154.
54. Kreher, W., Pompe, W., 1989. Internal Stresses in Heterogeneous Solids. Akademie-Verlag, Berlin.
55. Kröner, E., 1961. Zur plastischen Verformung des Vielkristalls. Acta Metall 9, 155-161.
56. Kröner, E., 1977. Bounds for effective moduli of disordered materials. J. Mech. Phys. Solids 25, 137-155.
57. Kunin, I.A., 1983. Elastic Media with Microstructure, vol. 2. Springer-Verlag, Berlin.
58. Laws, N., 1973. On the thermostatics of composite materials. J. Mech. Phys. Solids 21, 9-17.
59. Lax, M., 1951. Multiple scattering of waves. Rev. Modern Phys 23, 287-310.
60. Levin, V.M., 1967. Thermal expansion coefficient of heterogeneous materials. Izv. AN SSSR, Mekh. Tverd. Tela (2), 88-94. (In Russian) Engl. Transl. Mech. Solids 2 (2), 58-61.
61. Levin, V.M., 1967. Thermal expansion coefficient of heterogeneous materials. Izv. AN SSSR, Mekh. Tverd. Tela (2), 88-94. (In Russian) Engl. Transl. Mech. Solids 2 (2), 58-61.
62. Levin, V.M., 1976. Determination of elastic and thermoelastic constants of composite material. Izv. AN SSSR, Mech. Tverd. Tela (6), 137-145. (In Russian) Engl. Transl. Mech. Solids 11 (6), 119-126.
63. Levin, V.M., 1976. Determination of elastic and thermoelastic constants of composite material. Izv. AN SSSR, Mech. Tverd. Tela (6), 137-145. (In Russian) Engl. Transl. Mech. Solids 11 (6), 119-126.
64. Luo, H.A., Weng, G.J., 1987. On Eshelby's inclusion problem in a three-phase spherically concentric solid and a modification of Mori-Tanka's method. Mech. Mater 6, 347-361.
65. Micata, Y., Taya, M., 1986. Thermal stress in a coated short fiber composite. ASME J. Appl. Mech 53, 681-689.
66. Mori, T., Tanaka, K., 1973. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall 21, 571-574.
67. Moschovidis, Z.A., Mura, T., 1975. Two-ellipsoidal inhomogeneities by the equivalent inclusion method. ASME J. Appl. Mech 42, 847-852.
68. Mura, T., 1987. Micromechanics of Defects in Solids. Martinus Nijhoff, Dordrecht.
69. Nemat-Nasser, S., Hori, M., 1993. Micromechanics: Overall Properties of Heterogeneous Materials. Elsevier, North-Holland.
70. Norris, A.N., 1989. An examination of the Mori-Tanaka effective medium approximation for multiphase composites. ASME J. Appl. Mech 56, 83-88.
71. Norris, A.N., Callegari, A.J., Sheng, P.A., 1985. A generalized differential effective medium theory. J. Mech. Phys. Solids 33, 525-543.
72. Ponte Castañeda, P., Willis, J.R., 1995. The effect of spatial distribution on the effective behavior of composite materials and cracked media. J. Mech. Phys. Solids 43, 1919-1951.
73. Qiu, Y.P., Weng, G.J., 1990. On the application of Mori-Tanaka's theory involving transversely isotropic spheroidal inclusions. J. Engng Sci 28, 1121-1137.
74. Qiu, Y.P., Weng, G.J., 1991. Elastic moduli of thickly coated particle and fiber-reinforced composites. ASME J. Appl. Mech 58, 388-398.
75. Qu, J., 1993. The effect of slightly weakened interfaces on the overall elastic properties of composite materials. Mech. Mater 14, 269-281.
76. Rosen, B.W., Hashin, Z., 1970. Effective thermal expansion coefficient and specific heats of composite materials. Int. J. Engng Sci 8, 157-173.
77. Sangani, A., Lu, W., 1987. Elastic coefficients of composites containing spherical inclusions in periodic array. J. Mech. Phys. Solids 35, 1-21.
78. Theocaris, P.S., 1987. The Concept of Mesophase in Composites. Springer-Verlag, Berlin.
79. Walpole, J., 1978. A coated inclusion in an elastic medium. Math. Proc. Camb 83, 495-506.
80. Willis, J.R., 1977. Bounds and self-consistent estimates for overall moduli of anisotropic composites. J. Mech. Phys. Solids 25, 185-202.
81. Willis, J.R., 1982. Elasticity theory of composites. In: Hopkins, H.G., Sewell, M.J. (Eds.), Mechanics of Solids, The Rodney Hill 60th Anniversary Volume. Pergamon Press, Oxford, pp. 653-686.
82. Willis, J.R., 1983. The overall elastic response of composite materials. ASME J. Appl. Mech 50, 1202-1209.