MICROMECHANICS AND EFFECTIVE MODULI OF RANDOM, MULTIPHASE, FIBER-REINFORCED COMPOSITE MATERIALS WITH HOMOGENEOUSLY IMPERFECT INTERFACES

Abstract eng:
This paper presents a specialized boundary integral method to solve problems involving an infinite, isotropic elastic plane containing a large number of randomly distributed circular elastic inclusions with homogeneously imperfect interfaces. This model can be used to represent a suitably oriented plane section through a unidirectional fiber-reinforced composite material. The method is capable of representing thousands of inclusions with no restrictions on their locations (except that the inclusions may not overlap), sizes, and elastic properties. The tractions on the inclusion interfaces are assumed to be continuous and proportional to the corresponding displacement discontinuities between the inclusions and the material matrix. The analysis is based on a semi-analytical solution of a complex hypersingular integral equation with the unknown tractions and displacement discontinuities at each circular boundary approximated by a truncated complex Fourier series. The method allows one to assess both micro and macro-mechanical properties of the material. Numerical examples are included to demonstrate the effectiveness of the approach.

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