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Green's function approach to study the propagation of SH-wave in piezoelectric layer influenced by a point source

2017; Wiley; Linguagem: Inglês

10.1002/mma.4343

1099-1476

Abhishek Kumar Singh, Amrita Das, Kshitish Ch. Mistri, Amares Chattopadhyay,

Ferroelectric and Piezoelectric Materials

Mathematical Methods in the Applied SciencesVolume 40, Issue 13 p. 4771-4784 Research Article Green's function approach to study the propagation of SH-wave in piezoelectric layer influenced by a point source Abhishek Kumar Singh, Abhishek Kumar Singh Department of Applied Mathematics, IIT (ISM), Dhanbad, 826004 Jharkhand, IndiaSearch for more papers by this authorAmrita Das, Corresponding Author Amrita Das amritadas.ism@gmail.com Department of Applied Mathematics, IIT (ISM), Dhanbad, 826004 Jharkhand, India Correspondence to: Amrita Das, Department of Applied Mathematics, IIT (ISM), Dhanbad 826004, Jharkhand, India. amritadas.ism@gmail.comSearch for more papers by this authorKshitish Ch. Mistri, Kshitish Ch. Mistri Department of Applied Mathematics, IIT (ISM), Dhanbad, 826004 Jharkhand, IndiaSearch for more papers by this authorAmares Chattopadhyay, Amares Chattopadhyay Department of Applied Mathematics, IIT (ISM), Dhanbad, 826004 Jharkhand, IndiaSearch for more papers by this author Abhishek Kumar Singh, Abhishek Kumar Singh Department of Applied Mathematics, IIT (ISM), Dhanbad, 826004 Jharkhand, IndiaSearch for more papers by this authorAmrita Das, Corresponding Author Amrita Das amritadas.ism@gmail.com Department of Applied Mathematics, IIT (ISM), Dhanbad, 826004 Jharkhand, India Correspondence to: Amrita Das, Department of Applied Mathematics, IIT (ISM), Dhanbad 826004, Jharkhand, India. amritadas.ism@gmail.comSearch for more papers by this authorKshitish Ch. Mistri, Kshitish Ch. Mistri Department of Applied Mathematics, IIT (ISM), Dhanbad, 826004 Jharkhand, IndiaSearch for more papers by this authorAmares Chattopadhyay, Amares Chattopadhyay Department of Applied Mathematics, IIT (ISM), Dhanbad, 826004 Jharkhand, IndiaSearch for more papers by this author First published: 14 February 2017 https://doi.org/10.1002/mma.4343Citations: 6Read the full textAboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat Abstract Green's function technique serves as a powerful tool to find the particle displacements due to SH-wave propagation in layer of a shape different from the space between two parallel planes. Therefore, the present paper undertook to study the propagation of SH-wave in a transversely isotropic piezoelectric layer under the influence of a point source and overlying a heterogeneous substrate using Green's function technique. The coupled electromechanical field equations are solved with the aid of Green's function technique. Expression for displacements in both layer and substrate, scalar potential and finally the dispersion relation is obtained analytically for the case when wave propagates along the direction of layering. Numerical computations are carried out and demonstrated with the aid of graphs for six different piezoelectric materials namely PZT-5H ceramics, Barium titanate (BaTiO3) ceramics, Silicon dioxide (SiO2) glass, Borosilicate glass, Cobalt Iron Oxide (CoFe2O4), and Aluminum Nitride (AlN). The effects of heterogeneity, piezoelectric and dielectric constants on the dispersion curve are highlighted. Moreover, comparative study is carried out taking the phase velocity for different piezoelectric materials on one hand and isotropic case on the other. Dispersion relation is reduced to well-known classical Love wave equation with a view to illuminate the authenticity of problem. Copyright © 2017 John Wiley & Sons, Ltd. Citing Literature Volume40, Issue1315 September 2017Pages 4771-4784 RelatedInformation