Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Acta Mechanica
Published in: Acta Mechanica 6/2024

03-04-2024 | Original Paper

Reflection and transmission of elastic waves through a sandwich structure with the microstructural effects and Lorentz force considered

Authors: Yueqiu Li, Tiantian Yue, Xinyu Bian, Zihao Guo, Changda Wang

Published in: Acta Mechanica | Issue 6/2024

Login to get access

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The reflection and transmission of a plane elastic wave through a microstructural slab sandwiched by two half-spaces with consideration of the microstructural effects and the Lorentz force simultaneously are investigated in the present work. The microstructural effects are reflected by the dipolar gradient elastic model, and the influences of the external magnetic field are incorporated by the Lorentz force as the volume force. The numerical results for incident P wave and SH wave are provided, respectively. Based on these numerical results, the effects of the external magnetic field and the microstructural effects on the reflection and transmission waves are discussed. It is found that the microstructural effect results in not only the dispersive feature but also the appearance of extra stationary wave mode. The external magnetic field does not contribute to the dispersion feature with only influence on the amplitude of speed. The reflection and transmission of surface waves which results from the extra stationary waves are more sensitive to microstructural effects compared with the bulk waves.
previous article A coupled hygro-thermo-mechanical Cosserat peridynamic modelling of fire-induced concrete fracture
next article Effect of crack on the dynamic response of bidirectional porous functionally graded beams on an elastic foundation based on finite element method
Literature
1.
Mindlin, R.D., Tieesten, H.F.: Effects of couple stress in linear elasticity. Arch. Ration. Mech. Anal. 11, 415–448 (1962)CrossRef
2.
3.
Mindlin, R.D., Eshel, N.N.: On first strain-gradient theories in linear elasticity. Int. J. Solids Struct. 4, 109–124 (1968)CrossRef
4.
5.
Eringen, A.C.: Linear theory of micropolar elasticity. J. Math. Mech. 15, 909–924 (1966)MathSciNet
6.
Eringen, A.C.: Nonlocal Continuum Field Theories. Springer-Verlag, Berlin, Heidelberg (2001)
7.
Gourgiotis, P.A., Georgiadis, H.G., Neocleous, I.: On the reflection of waves in half-spaces of microstructured materials governed by dipolar gradient elasticity. Wave Motion 50, 437–455 (2013)MathSciNetCrossRef
8.
Li, Y.Q., Wei, P.J.: Reflection and transmission of plane waves at the interface between two different dipolar gradient elastic half-spaces. Int. J. Solids Struct. 56–57, 194–208 (2015)CrossRef
9.
Li, Y.Q., Wei, P.J.: Band gaps of elastic waves in 1-D phononic crystal with dipolar gradient elasticity. Acta Mech. 227, 1005–1023 (2016)MathSciNetCrossRef
10.
Kalkal, K.K., Kumar, R., Gunghas, A., Deswal, S.: Wave propagation in an initially stressed magneto-thermoelastic medium with voids and microtemperatures. J. Therm. Stress. 43(8), 962–980 (2020)CrossRef
11.
Othman, M.I.A., Song, Y.Q.: Reflection of magneto-thermoelastic waves with two relaxation times and temperature dependent elastic moduli. Appl. Math. Model. 32, 483–500 (2008)MathSciNetCrossRef
12.
Kumar, S., Majhi, S., Pal, P.C.: Reflection and transmission of plane SH-waves in two semiinfinite anisotropic magnetoelastic media. Meccanica 50, 2431–2440 (2015)MathSciNetCrossRef
13.
Li, Y.Q., Wei, P.J.: Reflection and transmission through a microstructured slab sandwiched by two half-spaces. Eur. J. Mech. A/Solids 57, 1–17 (2016)MathSciNetCrossRef
14.
Wang, C.D., Chen, X.J., Wei, P.J., Li, Y.Q.: Reflection and transmission of elastic waves through a couple-stress elastic slab sandwiched between two half-spaces. Acta Mech. Sinica 33(6), 1022–1039 (2017)MathSciNetCrossRef
15.
Zhang, P., Wei, P.J., Li, Y.Q.: In-plane wave propagation through a microstretch slab sandwiched by two half-spaces. Eur. J. Mech. A/Solids 63, 136–148 (2017)MathSciNetCrossRef
16.
Liu, C.C., Yu, J.G., Zhang, B., Zhang, X.M.: Reflection and transmission of elastic waves in the multilayered orthotropic couple-stressed plates sandwiched between two elastic half-spaces. Appl. Math. Model. 75, 52–72 (2019)MathSciNetCrossRef
17.
Jiao, F.Y., Wei, P.J., Zhou, Y.H., Zhou, X.L.: Wave propagation through a piezoelectric semiconductor slab sandwiched by two piezoelectric half-spaces. Ultrasonics 75, 70–81 (2019)MathSciNet
18.
Kumar, S., Pal, P.C., Majhi, S.: Reflection and transmission of plane SH-waves through an anisotropic magnetoelastic layer sandwiched between two semi-infinite inhomogeneous viscoelastic half-spaces. Pure Appl. Geophys. 172, 2621–2634 (2015)CrossRef
19.
Chen, Z.X., Lei, F.M., Zhao, Y.G., Ma, L.S., Gu, C.L.: Effects of the external magnetic field on propagation of thickness-twist waves in inhomogeneous plates. Acta Mech. 234, 491–509 (2023)MathSciNetCrossRef
Metadata
Title
Reflection and transmission of elastic waves through a sandwich structure with the microstructural effects and Lorentz force considered
Authors
Yueqiu Li
Tiantian Yue
Xinyu Bian
Zihao Guo
Changda Wang
Publication date
03-04-2024
Publisher
Springer Vienna
Published in
Acta Mechanica / Issue 6/2024
Print ISSN: 0001-5970
Electronic ISSN: 1619-6937
DOI
https://doi.org/10.1007/s00707-024-03907-0

Other articles of this Issue 6/2024

Acta Mechanica 6/2024 Go to the issue

Original Paper

Nonlinear damping and forced vibration investigation of three-layered viscoelastic sandwich beams on nonlinear elastic foundation with interlaminar continuous shear stress Zig–Zag theories

Original Paper

Experimental design of a grounding metamaterial with a zero-frequency bandgap

Original Paper

Lamb waves in three-layered plates: crossing fundamental branches and wave bifurcation

Original Paper

Analysis on scattering characteristics of SH guided wave due to V-notch in a piezoelectric/piezomagnetic bi-material strip

Original Paper

Bifurcation and dynamic analysis of quasi-zero stiffness isolator with asymmetric stiffness and mismatched load based on X-shaped negative stiffness structure

Original Paper

The influences of the punch geometry on the contact behaviors of a finite-thickness strip with thermoelectric effects

Premium Partners

    Image Credits