Aydin, YE, Erbas, B, Kaplunov, J and Prikazchikova, L (2018) Asymptotic analysis of an anti-plane dynamic problem for a three-layered strongly inhomogeneous laminate. Mathematics and Mechanics of Solids. ISSN 1081-2865 (In Press)

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Abstract

Anti-plane dynamic shear of a strongly inhomogeneous dynamic laminate with traction-free faces is
analysed. Two types of contrast are considered, including those for composite structures with stiff thick
or thin outer layers. In both cases, the value of the cut-off frequency corresponding to the lowest
anti-symmetric vibration mode tends to zero. For this mode the shortened dispersion relations and the associated formulae for displacement and stresses are obtained. The latter motivate the choice of appropriate settings supporting the limiting forms of the original anti-plane problem. The asymptotic equation derived for a three-layered plate with thick faces is valid over the whole low-frequency range, whereas the range of validity of its counterpart for another type of contrast is restricted to a narrow vicinity of the cut-off frequency.

Item Type: Article
Additional Information: Yağmur, A.E., Erbas, B., Kaplunov, J. and Prikazchikova, L., Asymptotic analysis of an anti-plane dynamic problem for a three-layered strongly inhomogeneous laminate, Mathematics and Mechanics of Solids (Journal Volume Number and Issue Number) pp. xx-xx. Copyright © 2018. (Copyright Holder). Reprinted by permission of SAGE Publications.
Uncontrolled Keywords: asymptotic, contrast, laminate, cut-off, wave
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > T Technology (General)
T Technology > TK Electrical engineering. Electronics Nuclear engineering
Divisions: Faculty of Natural Sciences > School of Computing and Maths
Depositing User: Symplectic
Date Deposited: 18 Jul 2018 10:48
Last Modified: 18 Jul 2018 10:48
URI: http://eprints.keele.ac.uk/id/eprint/5065

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