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Based on RoM a composite property, Pc, can be estimated by: Pc = Pf Vf + PmVm = Pf Vf + Pm (1-Vf) where Pf & Pm = The property of fibre For example elastic modulus, E1, parallel to fibre direction can be calculated based on the Youngs modulus of each of the constituent materials: E1=EfVf +EmVm This equation is easily understood by considering the analogy of calculating the stiff- ness of 2 springs connected in parallel: Unit volume Stiffness representat ion Figure 8 – RoM model for longitudinal properties For the elastic modulus perpendicular to fibre direction the calculation becomes a lit- tle more sophisticated, dependant on the fibre shape and fibre content, but a a good estimate can be obtained using the model of two springs connected in series: Matrix - Fibre - Matrix Unit volume Stiffness representat ion Figure 9 – RoM model for transverse properties With this model, the total deformation at a point of load application in a direction per- pendicular to fibre direction is the sum of the deflections in the fibre and the matrix. The resulting expression for transverse modulus is : 1 =Vf +Vm E2 Ef Em GTC-6-0417 - 11PDF Image | GUIDE TO COMPOSITES
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