Journal of Applied and Computational Mechanics
Lamb Wave Analysis in Anisotropic Multilayer Piezoelectric-piezomagnetic Material
Document Type : Research Paper
Authors
1 State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, 29 Yudao Jie, Nanjing, 210016, China
2 Laboratory of Physics of Materials, Faculty of Sciences of Sfax, Route de la Soukra km 3.5, Sfax, 1171 3000, Tunisia
3 State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, 29 Yudao Jie, Nanjing, 210016, China
4 Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, 87317-51167, Iran
5 Aerospace Engineering and Aviation, School of Engineering, RMIT University, Plenty Road, Victoria, 3082, Australia
Abstract
The dynamic response of an anisotropic multilayer magneto-electro-elastic (MEE) plate due to an external excitation is investigated in this work, using the stiffness matrix approach. A parametric study is performed by varying the stacking sequence, polarization direction, boundary conditions, and interlayer thickness. The proposed method yields the numerical estimation of the dispersion curve and the free vibration of the Lamb waves for different crystallographic orientations and magneto-electric boundary conditions. It is demonstrated that the anisotropy highly affects the dispersion curve and the non-dimensional frequency, and also decreases the interlayer thickness of the magneto-electro-elastic multilayer and raises the phase velocity of the fundamental symmetric Lamb mode vibration. The key outcomes of this research can serve as a reference in the design and analysis of new smart magneto-electro-elastic structures.
Keywords
- Lamb waves
- Anisotropic materials
- Multilayer piezoelectric/piezomagnetic material
- Natural frequency
- Dispersion curve
Main Subjects
Publisher’s Note Shahid Chamran University of Ahvaz remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
[2] Nan, C-W., Bichurin, M., Dong, S., Viehland, D., Srinivasan, G., Multiferroic magnetoelectric composites: historical perspective, status, and future directions, Journal of Applied Physics, 103, 2008, 031101.
[3] Vopsaroiu, M., Blackburn, J., Cain, M.G., Emerging Technologies and Opportunities Based on the Magneto-Electric Effect in Multiferroic Composites, Materials Research Society Symposium Proceedings, 1161, 2009.
[4] Van Suchtelen, J., Product properties: a new application of composite materials, Philips Research Reports, 27(1), 1972, 28–37.
[5] Ezzin, H., Ben Amor, M., Ben Ghozlen, M.H., Lamb waves propagation in layered piezoelectric/piezomagnetic plates, Ultrasonics, 76, 2017, 63–69.
[6] Zhang, X., Li, Z,, Yu, J., The Computation of Complex Dispersion and Properties of Evanescent Lamb Wave in Functionally Graded Piezoelectric-Piezomagnetic Plates, Materials, 11, 2018, 1186.
[7] Espinosa-Almeyda, Y., Camacho-Montes, H., Rodríguez-Ramos, R., R.Guinovart-Díaz J,C, López-Realpozo, J.Bravo-Castillero, Sabina, F.J., Influence of imperfect interface and fiber distribution on the antiplane effective magneto-electro-elastic properties for fiber reinforced composites, International Journal of Solids and Structures, 112, 2017, 155-168.
[8] Zhang, X., Zhang, C., Jiangong, Y., Jing, L., Full dispersion and characteristics of complex guided waves in functionally graded piezoelectric plates, Journal of intelligent Material Systems and Structures, 30(10), 2019, 1466-1480.
[9] Pan, E., Exact solution for simply supported and multilayered magneto-electro-elastic plates, Journal of Applied Mechanics, 68(4), 2001, 608–18.
[10] Pan, E., Heyliger, P., Exact solutions for magneto-electro-elastic laminates in cylindrical bending, International Journal of Solids and Structures, 40, 2003, 6859–76.
[11] Libo, X., Zhendong, H., Free vibration of layered magneto-electro-elastic beams by SS-DSC approach, Composite Structures, 125, 2015, 96-103.
[12] Alaimo, A., Benedetti, I., Milazzo A., A finite element formulation for large deflection of multilayered magneto-electro-elastic plates, Composite Structures, 107, 2014, 643–53.
[13] Jiangong, Y., Juncai, D., Zhijuan, M., On dispersion relations of waves in multilayered magneto-electro-elastic plates, Applied Mathematical Modelling, 36, 2012, 5780–5791.
[14] Yu, J.G., Lefebvre, E., Zhang, Ch., Guided wave in multilayered piezoelectric–piezomagnetic bars with rectangular cross-sections, Composite Structures, 116, 2014, 336-345.
[15] Shooshtari, A., Soheil R., Linear and nonlinear free vibration of a multilayered magneto-electro-elastic doubly-curved shell on elastic foundation, Composites Part B: Engineering, 78(1), 2015, 95-108.
[16] Ghorbanpour, A., Arania, H., Khani Arania Z, Khoddami M., Vibration analysis of sandwich composite micro-plate under electro-magneto-mechanical loadings, Applied Mathematical Modelling, 40, 2016, 10596-10615.
[17] Kumar, A., Chakraborty, D., Effective properties of thermo-electro-mechanically coupled piezoelectric fiber reinforced composites, Materials & Design, 30, 2009, 1216-1222.
[18] Pang, Y., Gao, J-S., Liu, J-X., SH wave propagation in magnetic–electric periodically layered plates, Ultrasonics, 54, 2014, 1341-1349.
[19] Benveniste, Y., Magnetoelectric effect in fibrous composites with piezoelectric and piezomagnetic phases, Physical Review B, 51, 1995, 16424.
[20] Kollár, L.P., Springer, G.S., Mechanics of composite structures, Cambridge University Press, New York, 2003.
[21] Pant, S., Laliberte, J., Martinez, M., Rocha, B., Derivation and experimental validation of Lamb wave equations for an n-layered anisotropic composite laminate, Composite Structures, 111, 2014, 566-579.
[22] Gornet L., Généralités sur les matériaux composites, Ph.D. Thesis, Ecole centrale de Nantes, Nantes, 2008.
[23] Quintanilla, F.H., Lowe, M.J.S., Craster, R.V., Modeling guided elastic waves in generally anisotropic media using a spectral collocation method, The Journal of the Acoustical Society of America, 137, 2015, 1180–1194.
[24] Ezzin, H., Mkaoir, M., Arefi, M., Qian, Z., Das, R., Analysis of guided wave propagation in functionally graded magneto-electro elastic composite, Waves in Random and Complex Media, 2021, DOI: 10.1080/17455030.2021.1968541.
[25] Rokhlin, S.I., Wang, L., Stable recursive algorithm for elastic wave propagation in layered anisotropic media: Stiffness matrix method, Journal of the Acoustic Society of America, 112, 2002, 822-34.
[26] Rokhlin, S.I., Wang, L., Ultrasonic waves in layered anisotropic media: characterization of multidirectional composites, International Journal of Solids and Structures, 39, 2002, 5529-45.
[27] Alshits, V.I., Darinskii, A.N., Lothe, J., On the existence of surface waves in half-infinite anisotropic elastic media with piezoelectric and piezomagnetic properties, Wave Motion, 16, 1992, 265-283.
[28] Ezzin, H., Wang, B., Qian, Z., Propagation behavior of ultrasonic Love waves in functionally graded piezoelectric-piezomagnetic materials with exponential variation, Mechanics of Materials, 148, 2020, 103492.
[29] Chen, J., Pan, E., Chen, H., Wave propagation in magneto-electro-elastic multilayered plates, International Journal of Solids and Structures, 44, 2007, 1073-1085.
)
