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In materials science, a general rule of mi … In materials science, a general rule of mixtures is a weighted mean used to predict various properties of a composite material . It provides a theoretical upper- and lower-bound on properties such as the elastic modulus, mass density, ultimate tensile strength, thermal conductivity, and electrical conductivity. In general there are two models, one for axial loading (Voigt model), and one for transverse loading (Reuss model). In general, for some material property (often the elastic modulus), the rule of mixtures states that the overall property in the direction parallel to the fibers may be as high as where
* is the volume fraction of the fibers
* is the material property of the fibers
* is the material property of the matrix It is a common mistake to believe that this is the upper-bound modulus for Young's modulus. The real upper-bound Young's modulus is larger than given by this formula. Even if both constituents are isotropic, the real upper bound is plus a term in the order of square of the difference of the Poisson's ratios of the two constituents. The inverse rule of mixtures states that in the direction perpendicular to the fibers, the elastic modulus of a composite can be as low as If the property under study is the elastic modulus, this quantity is called the lower-bound modulus, and corresponds to a transverse loading., and corresponds to a transverse loading.
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| rdfs:comment |
In materials science, a general rule of mi … In materials science, a general rule of mixtures is a weighted mean used to predict various properties of a composite material . It provides a theoretical upper- and lower-bound on properties such as the elastic modulus, mass density, ultimate tensile strength, thermal conductivity, and electrical conductivity. In general there are two models, one for axial loading (Voigt model), and one for transverse loading (Reuss model). where
* is the volume fraction of the fibers
* is the material property of the fibers
* is the material property of the matrix
* is the material property of the matrix
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| rdfs:label |
Rule of mixtures
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