ULTRA-COMPOSITES: DESIGNING STOCHASTIC COMPOSITES WITH LARGE MICROSTRUCTURAL VARIABILITY
Journal Title: ROMANIAN JOURNAL OF TECHNICAL SCIENCES - APPLIED MECHANICS - Year 2016, Vol 61, Issue 1
Abstract
Regular composite materials are made from a small number of constituent phases, usually two, which are arranged spatially such to maximize the stiffness and strength of the material. In this article, we review results related to defining a new class of stochastic composite materials with large microstructural variability both in terms of the composition and spatial distribution of constituents. Further, new data on Green functions in stochastic continua is presented. The Green functions in random composites are stochastic and their mean is proportional to log(| |) x , where x is the distance to the point where the force acts, just like in the homogeneous case. However, the pre-logartihmic constant and hence the mean displacement field in the stochastic composite has larger values than the equivalent field in the homogeneous material having Young’s modulus equal to the mean of the distribution function of moduli of the stochastic composite. The difference increases with increasing variance of the moduli distribution.
Authors and Affiliations
CATALIN R. PICU, VINEET NEGI, JACOB MERSON
Keywords
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