Axisymmetic electro-elastic field in a heterogeneous graded annular plate with a uniform load
Source abstract
Abstract
Abstract Functional gradient piezoelectric structures have become an essential components in intelligent sensing applications due to their unique electromechanical coupling properties. However, the multifield coupling and material gradients present analytical challenges in determining the electromechanical response in these structures. Therefore, this paper presents an analytical model to analyze the electro-elastic field in a heterogeneous circular plate subjected to a uniformly distributed load on the lower boundary. Direct displacement method is employed to derive the coupling electro-elastic field so as to get the explicit expression of stress and displacement. Based on the proposed model, numerical calculations are performed to validate the present analysis and to investigate the influence of material heterogeneity, multifield coupling and boundary conditions. The proposed analytic model provides novel insights into efficient calculations for the design and optimization of intelligent sensors.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Composite Structure Analysis and Optimization · Composite Material Mechanics · Structural mechanics and materials
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (36)
Show source-provided references
1. A review on piezoelectric materials and their applications10.1002/crat.202200130 ↗
2. Properties and applications of flexible poly(vinylidene fluoride)-based piezoelectric materials10.3390/cryst11060644 ↗
3. A review of flexible lead-free piezoelectric energy harvester10.1016/j.jallcom.2022.165653 ↗
4. Recent progress in piezoelectric thin films as self-powered devices: material and application10.3389/fmats.2024.1373040 ↗
5. Electrostrictive properties of the lead zirconate titanate solid-solution system10.1111/j.1151-2916.1989.tb09697.x ↗
6. Thermodynamic theory of the lead zirconate-titanate solid solution system, part I: phenomenology10.1080/00150198908221436 ↗
7. Thermodynamic theory of the lead zirconate-titanate solid solution system, part III: curie constant and sixth-order polarization interaction dielectric stiffness coefficients10.1080/00150198908221438 ↗
8. Strain engineering of ferroelectric negative capacitance in PbZr (1−x)TixO3 thin films10.1016/j.actamat.2020.116607 ↗
9. Design of functionally graded piezocomposites using topology optimization and homogenization - toward effective energy harvesting materials10.1016/j.cma.2013.07.003 ↗
10. DEPP functionally graded piezoceramics via micro-fabrication by co-extrusion10.1007/s10853-007-1793-5 ↗
11. A review on additive manufacturing of functional gradient piezoceramic10.3390/mi13071129 ↗
12. Functionally graded piezoceramic ultrasonic transducers10.1088/0964-1726/15/6/014 ↗
13. Multilevel fully integrated electromechanical property modulation of functionally graded graphene-reinforced piezoelectric actuators: coupled effect of poling orientation10.1002/adts.202200756 ↗
14. A critical review of recent research on functionally graded plates10.1016/j.compstruct.2012.09.001 ↗
15. A review of theories for the modeling and analysis of functionally graded plates and shells10.1016/j.compstruct.2015.03.010 ↗
16. Stress, vibration and buckling analyses of FGM plates-a state-of-the-art review10.1016/j.compstruct.2014.09.070 ↗
17. A review of semi-analytical numerical methods for laminated composite and multilayered functionally graded elastic/piezoelectric plates and shells10.1016/j.compstruct.2016.03.031 ↗
18. Vibration analysis of FGPM beam: a review10.1016/j.matpr.2020.11.621 ↗
19. Flexoelectric effect on the bending and vibration responses of functionally graded piezoelectric nanobeams based on general modified strain gradient theory10.1016/j.compstruct.2017.10.083 ↗
20. An analysis of flexoelectric coupling associated electroelastic fields in functionally graded semiconductor nanobeams10.1063/5.0057702 ↗
21. Piezoelasticity solutions for functionally graded piezoelectric beams10.1088/0964-1726/16/3/015 ↗
22. Buckling analysis of higher order graded smart piezoelectric plates with porosities resting on elastic foundation10.1016/j.ijmecsci.2016.09.012 ↗
23. Vibration and dynamic response of functionally graded plates with piezoelectric actuators in thermal environments10.1016/j.jsv.2005.01.033 ↗
24. Free vibration of a functionally graded piezoelectric beam via state-space based differential quadrature10.1016/j.compstruct.2008.01.012 ↗
25. Bending and free vibration of functionally graded piezoelectric beam based on modified strain gradient theory10.1016/j.compstruct.2014.04.005 ↗
26. Propagation behavior of ultrasonic love waves in functionally graded piezoelectric-piezomagnetic materials with exponential variation10.1016/j.mechmat.2020.103492 ↗
27. Analytical stress analysis of annular FGM sandwich plates with non-uniform shear and normal tractions, employing a zigzag-elasticity plate theory10.1016/j.ast.2013.10.007 ↗
28. Asymmetric free vibration analysis of first-order shear deformable functionally graded magneto-electro-thermo-elastic circular plates10.1177/0954406219850598 ↗
29. Elasticity solutions for a transversely isotropic functionally graded circular plate subject to an axisymmetric transverse load qrk10.1016/j.ijsolstr.2007.07.023 ↗
30. Three-dimensional analytical solution for functionally graded magneto-electro-elastic circular plates subjected to uniform load10.1016/j.compstruct.2007.05.006 ↗
31. Axisymmetric thermo-magneto-electro-elastic field in a heterogeneous circular plate subjected to a uniform thermal load10.1016/j.ijmecsci.2014.07.010 ↗
32. Axisymmetric thermo-elastic field in an annular plate of functionally graded multiferroic composites subjected to uniform thermal loadings10.1088/0964-1726/25/3/035029 ↗
33. Three-dimensional solution of axisymmetric bending of functionally graded circular plates10.1016/j.compstruct.2009.12.002 ↗
34. Ding · 2001
35. Timoshenko · 2012
36. Electromechanical response of 1-3 piezoelectric composites: Effect of poling characteristics10.1063/1.2014933 ↗