Asymptotic approach to anti‐plane dynamic problem of asymmetric three‐layered composite plate. (26th April 2021)

• Record Type: Journal Article
• Authors: Ibrahim Nuruddeen, Rahmatullah; Nawaz, R.; Zaigham Zia, Q. M.
• Is Part Of: Mathematical methods in the applied sciences. Volume 44:Number 14(2021)
• Page Start: 10933
• Page End: 10947
• Publication Date: 2021-04-26
• Subjects: asymmetric plate -- asymptotic approach -- dispersion relation -- unification of parameters; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.7456
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this manuscript, the anti‐plane shear motion of an asymmetric three‐layered inhomogeneous elastic plate is examined. An asymptotic approach is employed for the present investigation. Both thgeneralized and unified dispersion relations within the long‐wave low‐frequency range have been successfully determined. The obtained unified dispersion relation is investigated taking into account the recently analyzed material contrast for layered plates with mixed stiff‐soft layers of different material properties. The asymptotic formulae for the respective fields in addition to the determination of approximate equations of motions have also been presented. A comparative study with the symmetric plate is made; being a special case of the asymmetric plate under consideration. In the end, we provide some deductions and concluding remarks.