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In materials science, a general rule of mixtures is a weighted mean used to predict various properties of a composite material. [ 1 ] [ 2 ] [ 3 ] It provides a theoretical upper- and lower-bound on properties such as the elastic modulus , ultimate tensile strength , thermal conductivity , and electrical conductivity . [ 3 ]
One such complicating feature is the relation between the viscosity model for a pure fluid and the model for a fluid mixture which is called mixing rules. When scientists and engineers use new arguments or theories to develop a new viscosity model, instead of improving the reigning model, it may lead to the first model in a new class of models.
Voigt [4] (1887) - Strains constant in composite, rule of mixtures for stiffness components. Reuss (1929) [5] - Stresses constant in composite, rule of mixtures for compliance components. Strength of Materials (SOM) - Longitudinally: strains constant in composite, stresses volume-additive. Transversely: stresses constant in composite, strains ...
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Richmann's law, [1] [2] sometimes referred to as Richmann's rule, [3] Richmann's mixing rule, [4] Richmann's rule of mixture [5] or Richmann's law of mixture, [6] is a physical law for calculating the mixing temperature when pooling multiple bodies. [5]
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In crystallography, materials science and metallurgy, Vegard's law is an empirical finding (heuristic approach) resembling the rule of mixtures.In 1921, Lars Vegard discovered that the lattice parameter of a solid solution of two constituents is approximately a weighted mean of the two constituents' lattice parameters at the same temperature: [1] [2]