Functionally Graded Piezoelectric Plates in Cylindrical Bending by Semi-analytical Approach
A simply supported (SS) functionally graded piezoelectric material (FGPM) plate in a 2D domain has been analyzed for stress and displacement by a Semi-analytical approach. In-plane variation in stresses and displacements is assumed to be trigonometric. The elasticity approach is used and no simplify...
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Semnan University
2022-11-01
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| Series: | Mechanics of Advanced Composite Structures |
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| Online Access: | https://macs.semnan.ac.ir/article_6991_6b84f23ddbbd10a8fd83fbb3c9d44f85.pdf |
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| author | Sameer Sawarkar Sandeep Pendhari |
| author_facet | Sameer Sawarkar Sandeep Pendhari |
| author_sort | Sameer Sawarkar |
| collection | DOAJ |
| description | A simply supported (SS) functionally graded piezoelectric material (FGPM) plate in a 2D domain has been analyzed for stress and displacement by a Semi-analytical approach. In-plane variation in stresses and displacements is assumed to be trigonometric. The elasticity approach is used and no simplifying assumption is made on the stress and displacement fields in the through-thickness direction. The FGPM plate is subjected to a transverse electro-mechanical load whose intensity remains constant in the out-of-plane direction. Thus, the plate is under plane stress and plane strain conditions of elasticity. Exponential law or power law has been considered for smooth gradation of material properties in the through-thickness direction. The formulation is a set of first-ordered ordinary differential equations (ODE), which has been solved using numerical integration. Exact outcomes in the literature have been used to correlate and validate the present model results. Additional investigation has been carried out on FGPM plates and beams and results are provided for future reference. |
| format | Article |
| id | doaj-art-934ea35239084ac980a89144cbff981e |
| institution | DOAJ |
| issn | 2423-4826 2423-7043 |
| language | English |
| publishDate | 2022-11-01 |
| publisher | Semnan University |
| record_format | Article |
| series | Mechanics of Advanced Composite Structures |
| spelling | doaj-art-934ea35239084ac980a89144cbff981e2025-08-20T02:49:16ZengSemnan UniversityMechanics of Advanced Composite Structures2423-48262423-70432022-11-019240942410.22075/macs.2022.25808.13766991Functionally Graded Piezoelectric Plates in Cylindrical Bending by Semi-analytical ApproachSameer Sawarkar0Sandeep Pendhari1Department of Civil Engineering, Pimpri Chinchwad College of Engineering & Research, Pune – 412101, IndiaDepartment of Structural Engineering, Veermata Jijabai Technological Institute, Mumbai – 400019, IndiaA simply supported (SS) functionally graded piezoelectric material (FGPM) plate in a 2D domain has been analyzed for stress and displacement by a Semi-analytical approach. In-plane variation in stresses and displacements is assumed to be trigonometric. The elasticity approach is used and no simplifying assumption is made on the stress and displacement fields in the through-thickness direction. The FGPM plate is subjected to a transverse electro-mechanical load whose intensity remains constant in the out-of-plane direction. Thus, the plate is under plane stress and plane strain conditions of elasticity. Exponential law or power law has been considered for smooth gradation of material properties in the through-thickness direction. The formulation is a set of first-ordered ordinary differential equations (ODE), which has been solved using numerical integration. Exact outcomes in the literature have been used to correlate and validate the present model results. Additional investigation has been carried out on FGPM plates and beams and results are provided for future reference.https://macs.semnan.ac.ir/article_6991_6b84f23ddbbd10a8fd83fbb3c9d44f85.pdfstatic analysissemi-analytical methodfunctionally graded piezoelectric material2-d domain |
| spellingShingle | Sameer Sawarkar Sandeep Pendhari Functionally Graded Piezoelectric Plates in Cylindrical Bending by Semi-analytical Approach Mechanics of Advanced Composite Structures static analysis semi-analytical method functionally graded piezoelectric material 2-d domain |
| title | Functionally Graded Piezoelectric Plates in Cylindrical Bending by Semi-analytical Approach |
| title_full | Functionally Graded Piezoelectric Plates in Cylindrical Bending by Semi-analytical Approach |
| title_fullStr | Functionally Graded Piezoelectric Plates in Cylindrical Bending by Semi-analytical Approach |
| title_full_unstemmed | Functionally Graded Piezoelectric Plates in Cylindrical Bending by Semi-analytical Approach |
| title_short | Functionally Graded Piezoelectric Plates in Cylindrical Bending by Semi-analytical Approach |
| title_sort | functionally graded piezoelectric plates in cylindrical bending by semi analytical approach |
| topic | static analysis semi-analytical method functionally graded piezoelectric material 2-d domain |
| url | https://macs.semnan.ac.ir/article_6991_6b84f23ddbbd10a8fd83fbb3c9d44f85.pdf |
| work_keys_str_mv | AT sameersawarkar functionallygradedpiezoelectricplatesincylindricalbendingbysemianalyticalapproach AT sandeeppendhari functionallygradedpiezoelectricplatesincylindricalbendingbysemianalyticalapproach |