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Band-structure calculation of SH-waves in 1D hypersonic nano-sized phononic crystals with deformable interfaces
, Article Mechanics of Materials ; Volume 171 , 2022 ; 01676636 (ISSN) ; Shodja, H. M ; Sanati, M ; Sharif University of Technology
Elsevier B.V
2022
Abstract
Nanoscopic interface deformations between the layers in a superlattice have a great impact on its phononic band-structure. This work aims to study the SH-wave band-structure in one-dimensional (1D) multilayer hypersonic nano-sized phononic crystals with consideration of local deformations at the interfaces of the layers. At this scale, the traditional theory of elasticity is unable to capture the realistic forbidden and permitted frequencies. Thus, in light of surface/interface elastodynamics theory for nanostructures with deformable interfaces, a mixed variational method which accounts for the notion of interface elasticity, deformability, and inertia is introduced in the present work. For...