AbstractRandom glass mat reinforced composites have large variations in mechanical properties, requiring a statistical characterization of their elastic properties. The broad distribution of elastic moduli is modeled by a probability density function that determines the statistical characteristics of the material property data. This characterization is used to develop a framework for predicting the stiffness of parts made of these composites. The effective elastic modulus and the structural stiffness of parts have been defined in a statistical sense, and the main properties of the effective moduli have been discussed. The effective elastic modulus, if it exists, is shown to be a system property that must be considered in conjunction with the geometry of the part and the boundary conditions.
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