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Bulk modulus composition dependence

The results of the Eshelby inclusion model of Chow (1978) are summarized in Figs. 4.4 and 4.5 for a prominent application in which the heterogeneities are much stiffer than the matrix and the results are evaluated for the special system of glass fiber or disks in an epoxy-resin polymer matrix where the shear modulus and bulk modulus of the glass are 30.6 GPa and 44.4 GPa, respectively, and those of the epoxy-resin matrix are 1.30 GPa and 3.90 GPa, respectively. For this system the dependence on volume fraction (p of filler of the normalized shear modulus of the heterogeneous composite is given in Fig. 4.4, with p being either the transverse shear modulus p 2 axial-radial shear modulus of the com-... [Pg.107]

The mathematical formulation of the curve of the dimensionless bulk modulus of inclusions is the basis for the calculation of the deformation characteristics of composite materials containing nanoparticles. Bulk modulus and shear modulus of the composite depend on the size of the inclusions contained therein. For a composite material consisting of a polystyrene matrix and nanoinclusions cesium dependence of the dimensionless unit of the reduced diameter is shown in Fig. 4.13. [Pg.65]

Analysis of the chart shows that the deformation characteristics are largely dependent on the proportion of the concentration of nanoparticles in the formed composite. Small nanostructures d <0,3) increase the bulk modulus of the nanocomposite, large nanoparticles (j>o,3) lead to its weakening. [Pg.66]

The various predictions for the porosity dependence of the relative bulk modulus K of alumina and zirconia are compared in Fig. 8. Almnina-zirconia composite ceramics of any composition will show intermediate behavior. [Pg.87]

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Bulk modulus

Composition dependence

Moduli composites

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