On interactions between imperfections in cellular solids

摘要: A number of studies have indicated that imperfections in cellular solids can a very large influence on their mechanical behavior. Waviness cell walls drastically reduce elastic stiffnesses, and various irregularities the effective strengths by factors. These many instances been studied isolation, i.e., only singe type imperfection was at time. The goal present paper is to shed light how different kinds interact. There potential risk when multiple are present, properties solid worse than what would be predicted from each one isolation. study focused linear properties, although conclusions apply also for other properties. method employed based statistical averages Taylor expansion arguments. Such techniques previous papers applied single type. conclusion analysis that, up third order “small” parameters describing severity imperfections, there no interaction between types imperfections.