Abstract
In the present work a theoretical model for composite materials with a Poisson's ratio v = 0.5 is developed in order to evaluate the mechanical stresses around a single cylindrical elastic fibre inclusion. The model considers a gradual and continuous variation of the longitudinal elastic modulus EL in the area between matrix and fibre, the former being under hydrostatic pressure po · EL is expressed as a Fermi-Dirac distribution function of important parameters such as the rate of variation of EL, the extent of the interphase and the fibre volume fraction. Results indicate a strong effect of the above parameters on the stress state developed around the fibre.
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