nach oben

Erschienen in:

2024 | OriginalPaper | Buchkapitel

Anti-plane Waves in an Elastic Two-Layer Plate with Surface Effects

verfasst von : Gennadi Mikhasev, Bariş Erbaş, Fei Jia

Erschienen in: Proceedings of 2023 the 6th International Conference on Mechanical Engineering and Applied Composite Materials

Verlag: Springer Nature Singapore

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

We study the anti-plane shear waves in a domain consisting of two rigidly connected elastic layers, taking into account the surface effects on both faces. The elastic properties of both layers are different. Accounting for both the surface stresses and the surface inertia within the Gurtin–Murdoch surface elasticity, we derive the dispersion equation corresponding to the exponential decay of waves in the layers from the faces. The effects of surface stresses and inertia, the layer thickness as well as of the ratio of shear moduli of the layers on the dispersion curves are analyzed. The procedure for estimating the surface shear modulus and density is proposed.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Vorheriges Kapitel Noncontact Parallel Machining of Droplet Structure via Temperature Control

Nächstes Kapitel Underwater Explosion Damage Mechanisms and Protection of Double-Hull Under Shaped Charge

Bhushan, B.: Springer Handbook of Nanotechnology, 4th edn. Springer, Berlin (2017)CrossRef

Wang, J., Duan., H.L., Huang, Z.P., Karihaloo, B.L.: A scaling law for properties of nano-structured materials. Proc. Royal Soc. Ser. A. Math. Phys. Eng. Sci. 462(2069), 1355–1363 (2006)

Wang, J., Huang, Z., Duan, H., Yu, S., Feng, X., Wang, G., Zhang, W., Wang, T.: Surface stress effect in mechanics of nanostructured materials. Acta Mech. Solida Sin. 24(1), 52–82 (2011)CrossRef

Duan, H.L., Wang, J., Karihaloo, B.L.: Theory of elasticity at the nanoscale. Adv. Appl. Mech. 42, 1–68 (2008)

Gurtin, M.E., Murdoch. A.I.: A continuum theory of elastic material surfaces. Arch. Ration. Mech. Anal. 57(4), 291–323 (1975)

Gurtin, M.E., Murdoch. A.I.: Surface stress in solids. Int. J. Solids Struct. 14(6), 431–440 (1978)

Steigmann, D.J., Ogden, R.W.: Plane deformations of elastic solids with intrinsic boundary elasticity. Proc. Royal Soc. Lond. Ser. A. Math. Phys. Eng. Sci. 453(1959), 853–877 (1997)

Steigmann, D.J., Ogden, R.W.: Elastic surface-substrate interactions. Proc. Royal Soc. Lond. Ser. A. Math. Phys. Eng. Sci. 455(1982), 437–474 (1999)

Chen, W.Q., Wu, B., Zhang, C.L., Zhang, C.: On wave propagation in anisotropic elastic cylinders at nanoscale: surface elasticity and its effect. Acta Mech. 225(10), 2743–2760 (2014)MathSciNetCrossRef

10.

Xu, X., Wang, L., Fan, H.: Anti-plane waves near an interface between two piezoelectric half-spaces. Mech. Res. Commun. 67, 8–12 (2015)CrossRef

11.

Eremeyev, V.A., Rosi, G., Naili, S.: Surface/interfacial anti-plane waves in solids with surface energy. Mech. Res. Commun. 74, 8–13 (2016)CrossRef

12.

Mikhasev, G.I., Botogova, M.G., Eremeyev, V.A.: On the influence of a surface roughness on propagation of anti-plane short-length localized waves in a medium with surface coating. Int. J. Eng. Sci. 158, 103428 (2021)MathSciNetCrossRef

13.

Mikhasev, G.I., Botogova, M.G., Eremeyev, V.A.: Anti-plane waves in an elastic thin strip with surface energy. Philos. Trans. Royal Soc., Ser. A 380, 20210373–20210415 (2022)MathSciNetCrossRef

14.

Mikhasev, G., Erbas, B., Eremeyev, V.A.: Anti-plane shear waves in an elastic strip rigidly attached to an elastic half-space. Int. J. Eng. Sci. 184, 103809 (2023)MathSciNetCrossRef

15.

Jia, F., Zhang, Z., Zhang, H., Feng, X.Q., Gu, B.: Shear horizontal wave dispersion in nanolayers with surface effects and determination of surface elastic constants. Thin Solid Films 645(20), 134–138 (2018)CrossRef

16.

Wu, W., Zhang, H., Jia, F., Yan, X., Liu, H., Yuan, W., Feng, X.Q., Gu, B.: Surface effects on frequency dispersion characteristics of Lamb waves in a nanoplate. Thin Solid Films 697, 137831 (2020)CrossRef

Titel: Anti-plane Waves in an Elastic Two-Layer Plate with Surface Effects
verfasst von: Gennadi Mikhasev
Bariş Erbaş
Fei Jia
Verlag: Springer Nature Singapore
Buch: Proceedings of 2023 the 6th International Conference on Mechanical Engineering and Applied Composite Materials
Print ISBN: 978-981-9716-77-7

Electronic ISBN: 978-981-9716-78-4

Copyright-Jahr: 2024
DOI: https://doi.org/10.1007/978-981-97-1678-4_5

Premium Partner

Marktübersichten

Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.

Zur Marktübersicht