Abstract: The wellknown Hill's averaging theorems for stresses and strains as well as the socalled Hill–Mandel condition are essential ingredients for the coupling and the consistency between the microand macroscales in multiscale ...

Abstract: As a sizedependent theory, flexoelectric effect is expected to be prominent at the small scale. In this paper, the band gap structure of elastic wave propagating in a periodically layered nanostructure is calculated by ...