Modeling of the LiouvilleGreen method to approximate the mechanical waves in functionally graded and piezo material with a comparative study
- Title
- Modeling of the LiouvilleGreen method to approximate the mechanical waves in functionally graded and piezo material with a comparative study
- Creator
- Ansari A.Z.; Saeed A.M.; Singhal A.; Tiwari R.; Shujat F.; Kumar B.
- Description
- 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 & Francis Group.
- Source
- Waves in Random and Complex Media
- Date
- 2022-01-01
- Publisher
- Taylor and Francis Ltd.
- Subject
- analytical modeling; approximation method; Liouville-Green; mechanical surface waves; smart materials
- Coverage
- 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
- Rights
- Restricted Access
- Relation
- ISSN: 17455030
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Ansari A.Z.; Saeed A.M.; Singhal A.; Tiwari R.; Shujat F.; Kumar B., “Modeling of the LiouvilleGreen method to approximate the mechanical waves in functionally graded and piezo material with a comparative study,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 24, 2025, https://archives.christuniversity.in/items/show/15417.