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Numerical evaluation of effective elastic properties of graphite fiber tow impregnated by polymer matrix. (English) Zbl 1010.74052

From the summary: Using the finite element method, homogenized elastic material properties are found for a fibrous graphite-epoxy composite system with fibers randomly distributed within a transverse plane section of the composite aggregate. To enhance efficiency of numerical analysis, the real microstructure is replaced by a material representative volume element, represented here by a periodic unit cell consisting of a small number of particles, which statistically resembles the actual composite. Such a unit cell is derived from a simple optimization procedure formulated in terms of various statistical descriptors characterizing the microstructure of random medium. We employ the two-point probability and the second-order intensity functions. The upper bound on the macroscopic elastic stiffness then follows from the principle of minimum potential energy.

MSC:

74Q15 Effective constitutive equations in solid mechanics
74E30 Composite and mixture properties
74S05 Finite element methods applied to problems in solid mechanics
74Q20 Bounds on effective properties in solid mechanics

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