On overall properties of micro‐polar composites with interface effects

Size-dependence of mechanical property of composite materials has been well observed experimentally [1, 2]. Classical micro-mechanical models, however, fail to describe this phenomenon. There are two different ways to consider the sizedependency: (1) To include the nonlocal effect by idealizing the matrix material as a higher order continuum, e.g. micro-polar models [3] or strain gradient models. (2) To take into account the interface effect [4]. When the size of reinforced phase becomes small, both surface influence and nonlocal effect may become significant. In the present work, we combine these two approaches together by introducing the interface effect into micro-polar micro-mechanics.