nach oben

Archive of Applied Mechanics

Erschienen in:

21.03.2024 | Original

Rayleigh-type waves in magneto-elastic half-space containing voids

verfasst von: Ashish Kumar, S. K. Tomar

Erschienen in: Archive of Applied Mechanics | Ausgabe 5/2024

Einloggen

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

search-config

KI-gestützte Suche

Aus

Abstract

Rayleigh-type surface waves propagating in a magneto-elastic half-space containing voids are studied. Dispersion equation is derived under suitably constructed boundary conditions, which involves elastic, electro-magnetic, void parameters and angular frequency, but contains radicals, making it difficult to solve analytically. However, under limiting frequencies, the dispersion equation is analyzed and discussed. The effect of various parameters on phase velocity of propagating Rayleigh-type surface waves is investigated and shown graphically for a particular model. The effect of induced electric field on considered surface waves is also studied and explained. It is shown that the particles near the boundary surface move in an elliptic manner. However, if there is no phase difference between the displacement components, then we have a degenerate case. Some special cases of dispersion relation are also deduced from the present formulation.

Vorheriger Artikel A nonlocal beam with nonsymmetrical boundary conditions: stability analysis and shape optimization

Nächster Artikel Elastic medium and torsional spring effects on the nonlocal dynamic of functionally graded porous nanotubes

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

Nur mit Berechtigung zugänglich

For the waves propagating in the negative direction of x-axis, the considerations will change accordingly, viz the factor \(\exp (-\gamma z)\) will remain unchanged, while the condition \(\Im (k)>0\) will change to \(\Im (k)<0\) when k is complex. However, there is no change in the analysis when k is a real quantity.

Rayleigh, L.: On waves propagating along the plane surface of an elastic solid. Proc. Lond. Math. Soc. 17, 4–11 (1885)MathSciNetCrossRef

Love, A.E.H.: A Treatise on Mathematical Theory of Elasticity. Dover Publication, New York (1944)

Eringen, A.C.: On Rayleigh surface waves with small wavelengths. Lett. Appl. Eng. Sci. 1, 11–17 (1973)

Abd-Alla, A.M.: Propagation of Rayleigh waves in an elastic half-space of orthotropic material. App. Math. Comp. 99(1), 61–69 (1999)MathSciNetCrossRef

Chirita, S., Danescu, A.: Surface waves problem in thermo-viscoelastic porous half-space. Wave Motion 54, 100–114 (2015)MathSciNetCrossRef

Rymarz, C.: Surface waves in nonlocal elastic medium. In: Parker DF, Maugin GA (eds) Recent Developments in Surface Acoustic Waves. Springer Series on Wave Phenomena. 7, 342–350 (1998)

Acharya, D.P., Mondal, A.: Propagation of Rayleigh surface waves with small wavelengths in nonlocal visco-elastic solids. Sadhana 27(6), 605–612 (2002)CrossRef

Kuznetsov, S.V.: Surface waves of non-Rayleigh type. Quart. Appl. Math. 61(3), 575–582 (2003)MathSciNetCrossRef

Nunziato, J.W., Cowin, S.C.: A non-linear theory of elastic materials with voids. Arch. Ration. Mech. Anal. 72(2), 175–201 (1979)CrossRef

10.

Cowin, S.C., Nunziato, J.W.: Linear elastic materials with voids. J. Elast. 13(2), 125–147 (1983)CrossRef

11.

Goodman, M.A., Cowin, S.C.: A continuum theory for granular materials. Arch. Ration. Mech. Anal. 44(4), 249–266 (1972)MathSciNetCrossRef

12.

Puri, P., Cowin, S.C.: Plane waves in linear elastic materials with voids. J. Elast. 15, 167–183 (1985)CrossRef

13.

Iesan, D.: A theory of thermoelastic materials with voids. Acta. Mech. 60(1), 67–89 (1986)MathSciNetCrossRef

14.

Singh, J., Tomar, S.K.: Plane waves in thermo-elastic material with voids. Mech. Mat. 39(10), 932–940 (2007)CrossRef

15.

Chandrasekharaiah, D.S.: Surface waves in elastic half-space with voids. Acta Mech. 62, 77–85 (1986)CrossRef

16.

Chandrasekharaiah, D.S.: Effects of surface stresses and voids on Rayleigh waves in an elastic solid. Int. J. Eng. Sci. 25(2), 205–2011 (1987)MathSciNetCrossRef

17.

Kaur, G., Singh, D., Tomar, S.K.: Rayleigh-type waves in a nonlocal elastic solid with voids. Eur. J. Mech. A Solids. 71, 134–150 (2018)

18.

Bucur, A.V., Passarella, F., Tibullo, V.: Rayleigh surface waves in the theory of thermoelastic materials with voids. Meccanica 49(9), 2069–2078 (2014)MathSciNetCrossRef

19.

Chiriţă, S.: Rayleigh waves on an exponentially graded poroelastic half-space. J. Elast. 110, 185–199 (2013)MathSciNetCrossRef

20.

Dunkin, J.W., Eringen, A.C.: On the propagation of waves in an electromagnetic elastic solid. Int. J. Eng. Sci. 1, 461–495 (1963)MathSciNetCrossRef

21.

Eringen, A.C.: Electromagnetic theory of microstretch elasticity and bone modeling. Int. J. Eng. Sci. 42, 231–242 (2004)MathSciNetCrossRef

22.

Matsumoto, E.: Solid mechanics under magnetic field. Mater. Sci. Res. Int. 5(1), 1–12 (1999)

23.

Tomar, S.K., Kumar, A.: Propagating waves in elastic material with voids subjected to electro-magnetic interactions. Appl. Math. Model. 78, 685–705 (2020)MathSciNetCrossRef

24.

Ericksen, J.L.: Electromagnetic effects in thermoelastic materials. Math. Mech. Solids. 7(2), 165–189 (2002)MathSciNetCrossRef

25.

Eringen, A.C., Maugin, G.A.: Electrodynamics of Continua I—Foundations and Solid Media. Springer-Verlag, New York (1990)CrossRef

26.

Kaliski, S., Rogula, D.: Rayleigh waves in a magnetic field in the case of perfect conductor. Proc. Vibr. Probl. 1(5), 63–80 (1960)MathSciNet

27.

Tomita, S., Shindo, Y.: Rayleigh waves in magneto-thermoelastic solids with thermal relaxation. Int. J. Eng. Sci. 17(2), 227–232 (1979)CrossRef

28.

Lee, J.S., Its, E.N.: Propagation of Rayleigh waves in magneto-elastic media. J. Appl. Mech. 59, 812–818 (1992)CrossRef

29.

Abd-Alla, A.M., Hammad, A.H., Abo-Dahab, S.M.: Rayleigh waves in a magneto-elastic half-space of orthotropic material under influence of initial stress and gravity field. Appl. Math. Comp. 154(2), 583–597 (2004)CrossRef

30.

Kumar, A., Tomar, S.K.: Coupled dilatational waves at a plane interface between two dissimilar magnetoelastic halfspaces containing voids. Acta Mech. 233, 5061–5087 (2022)MathSciNetCrossRef

31.

Borcherdt, R.D.: Viscoelastic Waves in Layered Media. Cambridge University Press, Cambridge (2009)CrossRef

Titel: Rayleigh-type waves in magneto-elastic half-space containing voids
verfasst von: Ashish Kumar
S. K. Tomar
Publikationsdatum: 21.03.2024
Verlag: Springer Berlin Heidelberg
Erschienen in: Archive of Applied Mechanics / Ausgabe 5/2024
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI: https://doi.org/10.1007/s00419-024-02575-9

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

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

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

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Weitere Artikel der Ausgabe 5/2024

Finite element formulation for higher-order shear deformation beams using two-phase local/nonlocal integral model

A large deformation gradient theory for glassy polymers by means of micromorphic regularization

Nonlocal stress-driven model for functionally graded Mindlin annular plate: bending and vibration analysis

Size-dependent thermoelastic damping analysis in functionally graded bi-layered microbeam resonators considering the nonlocal dual-phase-lag heat conduction model

Elastic medium and torsional spring effects on the nonlocal dynamic of functionally graded porous nanotubes

Bubble metamaterials for enhanced underwater acoustic sensing

Premium Partner

Marktübersichten