Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Articles Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Modeling of the LiouvilleGreen method to approximate the mechanical waves in functionally graded and piezo material with a comparative study Subject The topic of the resource analytical modeling; approximation method; Liouville-Green; mechanical surface waves; smart materials Description An account of the resource The present research article studies and compares the surface waves transmission through the functionally graded piezoelectric material (FGPM) club between the piezomagnetic (PM) layer -and half-space, and for a comparative study, lower half-space is assumed to be piezoelectric material. The transmission of mechanical waves in a smart structure is analyzed by following the elastic wave theory of magneto-electro-elasticity. The Liouville-Green (LG) approximation technique is used to solve the differential equation in the FGPM stratum, where exponential variation is assumed in material gradients. It is noticed that the material gradients depend considerably on the angular frequency, which should be a crucial factor in regulating the dispersion characteristics of functionally graded materials (FGM) waveguides. In closed determinant form, the dispersion relation has been obtained for FGPM plate for electrically open and short cases. The profound effect of parameters, such as material gradient, a width of the layer on phase velocity, coupled electromechanical factor, and angular velocity, is observed and delineated graphically. Different parametric plots are sub-plotted into a single figure to increase the readability of the graphs. 2022 Informa UK Limited, trading as Taylor &amp; Francis Group. Creator An entity primarily responsible for making the resource Ansari A.Z.; Saeed A.M.; Singhal A.; Tiwari R.; Shujat F.; Kumar B. Source A related resource from which the described resource is derived Waves in Random and Complex Media Publisher An entity responsible for making the resource available Taylor and Francis Ltd. Date A point or period of time associated with an event in the lifecycle of the resource 2022-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1080/17455030.2022.2049921" target="_blank" rel="noreferrer noopener">https://doi.org/10.1080/17455030.2022.2049921</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85127197241&amp;doi=10.1080%2F17455030.2022.2049921&amp;partnerID=40&amp;md5=42e95b89def4ac15918c91040d9f69e6" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85127197241&amp;doi=10.1080%2f17455030.2022.2049921&amp;partnerID=40&amp;md5=42e95b89def4ac15918c91040d9f69e6</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 17455030 Format The file format, physical medium, or dimensions of the resource Online Language A language of the resource English Type The nature or genre of the resource Article Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Ansari A.Z., Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, Saudi Arabia; Saeed A.M., Department of Mathematics, College of Science, Qassim University, Buraydah, Saudi Arabia; Singhal A., School of Sciences, Christ (Deemed to be University), NCR, Delhi, India; Tiwari R., Nitishwar College, Babasaheb Bhimrao Ambedkar University, Muzzaffarpur, India; Shujat F., Department of Mathematics, Faculty of Science, Taibah University, Madinah, Saudi Arabia; Kumar B., School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, India