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Notes on Homogenization of Periodic Mediums (I) #3
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Modelling mechanicals static action and reaction from solid materials point of view took linear tendency in what so called elastic region. Evaluate elastic constants is a topic of modelling and design evaluation. Topology homogenization Mixing rule Experimental Math- experimental relations
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Method of Stiffness Prediction Rule of Mixture special cases as Hart-Smith 10% Rule –Used in aerospace industry as a quick method of estimating stiffness Empirical Formulae –Based solely on test data Classical Laminate Analysis –LAP software
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Rule of Mixtures A composite is a mixture or combination of two (or more) materials The Rule of Mixtures formula can be used to calculate / predict… –Young’s Modulus (E) –Density –Poisson’s ratio –Strength (UTS) very optimistic prediction ; Strength very difficult to predict.
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Mechanical properties structurally dependent relations Regression based relations According to topological and experimental data Imperial relations that best fit Usually -Power law form;
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Topology of Periodic Structure media
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