SOME EXACT RESULTS CONCERNING THERMOELASTIC PROPERTIES OF HOLLOW SPHERE COMPOSITES

Abstract

Abstract: Thermoelastic properties of hollow sphere coloposites are studied based on the uniform malrix-field concept proposed here. Some connections bewteen local thermal and mechanical fields produced by certain homogeneous boundary conditins arederived, and furthermore, exact relations are also obtained between the effectivethermoelastic properties of the compostites. For a macroscopically isotropic compositewith a certain ratio of the outer radius to the inner radius, it is found that the effectivebulk modules and the linear coefficient of thermal expansion can be exactlydetermined, if the thermal expansion coeffieient of the matrix and that of the sphereare the same.

Key words: composites, hollow spheres, thermoelastic properties

He Linghui;Cheng Zhenqiang;Liu Renhuai. SOME EXACT RESULTS CONCERNING THERMOELASTIC PROPERTIES OF HOLLOW SPHERE COMPOSITES. Applied Mathematics and Mechanics (English Edition), 1998, 19(5): 427-435.

TrendMD

References

[1] K. J. Lee and R. A. Westmann, Elastic properties of hollow-sphere-reinforcedcomposites, J. Compo. Mater., 4(1970), 242.
[2] Y. P. Qiu and G. J. Weng, Elastic moduli of thickly coated particle and fiber-reinforcedcomposites, J. Appl. Mech., 58(1991), 388.
[3] J. S. Huang and L. J. Gibson, Elastic moduli of a composite of hollow spheres in amatrix, J. Mech. Phys. Solids, 41(1993), 55.
[4] M. Cherkaoui, H. Sabar and M. Berveiller, Micromechanical approach of the coatedinclusion problem and applications to composite materials, J. Engn. Mater. Techn., 116(1994), 274.
[5] R. Hill, Theory of mechanical properties of fiber-strengthened materials-I. Elasticbehaviour, J. Mech. Phys. Solids, 12(1964), 199.
[6] V. M. Levin, Thermal expansion of heterogeneous materials, Mekh. Tverdoga Tela, 2(1967), 88.
[7] B. W. Rosin and Z, Hashin, Effective thermal expansion coefficients and specific heats ofcomposite materials, In t. J. Engng. Set., 8(1970), 157.
[8] G. J. Dvorak, Thermal expansion of elastic-plastic composite material, J. Appl. Mech., 53(1986), 737.
[9] G. J. Dvorak, On uniform fields in heterogeneous media, Proc. R. Soc. Loud., A431(1990), 89.
[10] K. Schulgasser, Environmentally-induced expansion of heterogeneous media, J. Appl.Mech., 56(1989), 546.
[11] G. J. Dvorak and T. Chen, Thermal expansion of three-phase composite materials, J.Appl Mech., 56(1989), 416.
[12] Y. Benveniste, Exact results in the micromechanics of fibrous piezoelectric compositesexhibiting pyroelectricity, Proc. R. Soc. Loud., A441(1993), 59.
[13] Y. Benveniste, Exact connections between polycrystal and crystal properties in twodimensional polycrystalline aggregates, Proc. R. Soc. Loud., A447(1994), 1.
[14] T. Chen, Piezoelectric properties of multiphase fibrous composites: some theoreticalresults, J. Mech. Phys. Solids, 41(1993), 1781.
[15] Z. Hashin, Analysis of composite materials-a survey, J. APPI. Mech., 50(1983), 481.