Abstract
A theoretical model for the determination of the elastic modulus and thermal expansion coefficient of particulate composites is presented in this work. This model takes into consideration the influence of neighboring spherical particles on the thermomechanical constants of the composite material consisting of matrix and filler. A microstructural dodecahedric composite model which represents the basic cell of the composite at a microscopic scale was transformed to a 4-phase spherical representative volume element (RVE) in order to apply the classical theory of elasticity to this.
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REFERENCES
L.E. Nielsen, Mechanical Properties of Polymers and Composites, 2, Marcel Dekker Inc., New York, 1974.
E.H. Kerner, Proc. Phys. Soc., B69, 808 (1956).
Z. Hashin and J. Shtrikman, J. Mech. Phys. Solids, 11, 127 (1963).
Z. Hojo, W. Toyoshima, M. Tamura and N. Kawamura, Polym. Eng. Sci., 14, 604 (1974).
H. Alter, J. Appl. Polym. Sci., 9, 1525 (1966).
W.M. Baldin, Acta Mech., 6, 141 (1958).
S.K. Bhattacharya, S. Basu and S.K. De, J. Mat. Sci., 13, 2109 (1978).
G. Landon, G. Lewis and G.F. Boden, J. Mat. Sci., 12, 1605 (1977).
Y. Benveniste, Mech. Mater., 4, 197 (1985).
Z. Hashin, Mech. Mater., 8, (1990).
A. Einstein, Über die von Molekularkinetischen theorie der Warme geförderten Bewegung von in Ruhenden, (1911). Flussigkeiten suspendten Teilchen, Ann Physic, 17,549 (1905). Eine neue Bestimmung der Molekuldimensionen, Ann Physic , 19, 289 (1906). Berichtigung zu meiner Arbeit: Eine neue Bestimmung der Molekuldimensionen, 34, 591 (1911).
B. Paul, Trans. Miner. Inst. Mech. Eng., 36, 218 (1960).
G. Guth, J.Appl. Phys., 16, 20 (1945).
H.M. Smallwood, J. Appl. Phys., 15, 758 (1944).
R. Counto, Mag. Concr. Res., 16, 129 (1964).
K. Takahashi, M. Ikenda, K. Harakawa and K. Tanaka, J. Pol. Phys. Ed., 16, 415 (1978).
R.A. Schapery, J. Comp. Mat., 2, 380 (1968).
W.D. Kingery, J. Amer. Ceram. Soc., 40, 351 (1957).
G. Arthur and J.A. Coulson, J. Nucl. Mater., 13, 242 (1964).
J.P. Thomas, General Dynamics, Fort Wporth, Tex., AD 287–826 (1960).
A.A. Fahmy and A.I. Ragai, J. Appl. Phys., 41, 5108 (1970).
T.T. Wang and T.K. Kwei, J. Pol. Sci., A-2, 7, 889 (1969).
A. Malliaris and D.T. Turner, J. Appl. Phys., 42, 614 (1971).
R.R. Tummala and A.L. Friedberg, J. Appl. Phys., 11(13), 5104 (1970).
L. Nicolais, Pol. Eng. Sci., 11, 194 (1971).
M. Schrager, J. Appl. Polym. Sci., 22, 2379 (1978).
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Sideridis, E., Papadopoulos, G., Kytopoulos, V., Sadowski, T. (2006). THE ELASTIC MODULUS AND THE THERMAL EXPANSION COEFFICIENT OF PARTICULATE COMPOSITES USING A DODECAHEDRIC MULTIVARIANT MODEL. In: Sadowski, T. (eds) IUTAM Symposium on Multiscale Modelling of Damage and Fracture Processes in Composite Materials. SOLID MECHANICS AND ITS APPLICATIONS, vol 135. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4566-2_12
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DOI: https://doi.org/10.1007/1-4020-4566-2_12
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