L7 composites - Materials Science and Engineering

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18 Intro Composite Applns. Properties Voigt, Reuss, Hill Anistrpy. CTE Cellular Matls. Wood Notation A, B, C phases A <strong>and</strong> B, Composite VA volume fraction of phase A PA property of phase A EA (Young’s) modulus of phase A εC (average) strain in composite σA stress in phase A K bulk modulus G shear modulus α coefficient of thermal expansion (CTE) ρs, ρcell cell wall density ρ* relative density (cellular material) l length (of a beam) t thickness b depth δ displacement KIC fracture toughness [plane strain] P load
19 Intro Composite Applns. Properties Voigt, Reuss, Hill Anistrpy. CTE Cellular Matls. Wood Simple Models: Rule of Mixtures • What is the simplest model that can be used to predict a material property in a composite? Answer: Rule of Mixtures • Define the volume fractions, V, of the various materials comprising the composite. The average property of the composite is then given by, P C = V A P A + V B P B + … = Σ V i P i • The Rule of Mixtures is an acceptable first approximation for estimating composite material properties. It is, however, often considerably in error <strong>and</strong> better methods are required.
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L7 composites - Materials Science and Engineering

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