EFFECTIVE ELASTIC RESPONSE OF 2-PHASE COMPOSITES
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We present finite element analyses of the overall elastic properties of two-phase composites as a function of the shape, concentration and spatial distribution of the reinforcement. The analyses of the geometrical effects of constituent phases on the overall elastic moduli have been carried out within the context of axisymmetric and plane strain unit cell formulations. In most calculations, the phases are taken to be isotropic and linear elastic, and the interface perfectly bonded. These finite element results are compared with available analytical results for a variety of geometrical arrangements of the constituent phases of the composites. Computations which predict the effective elastic properties for the limiting case where all the reinforcing particles fracture are carried out. The competition between stiffening due to reinforcement and increased compliance due to cracking of the reinforcement is evaluated for metallic, ceramic and intermetallic matrices with brittle reinforcements, and the numerical results are compared with analytical solutions. The paper also includes discussions of the role of thermal residual stresses in influencing apparent initial moduli and the effects of interfacial compliance on the stress distribution within the reinforcement. 1993.
