Elasticity Solutions for Cylindrical Bending of Functionally Graded Piezoelectric Plates

SHEN Lulu; CAI Fangyuan; YANG Bo

doi:10.21656/1000-0887.430224

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SHEN Lulu, CAI Fangyuan, YANG Bo. Elasticity Solutions for Cylindrical Bending of Functionally Graded Piezoelectric Plates[J]. Applied Mathematics and Mechanics. doi: 10.21656/1000-0887.430224

Citation:

SHEN Lulu, CAI Fangyuan, YANG Bo. Elasticity Solutions for Cylindrical Bending of Functionally Graded Piezoelectric Plates[J]. Applied Mathematics and Mechanics. doi: 10.21656/1000-0887.430224

Citation:

SHEN Lulu, CAI Fangyuan, YANG Bo. Elasticity Solutions for Cylindrical Bending of Functionally Graded Piezoelectric Plates[J]. Applied Mathematics and Mechanics. doi: 10.21656/1000-0887.430224

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Elasticity Solutions for Cylindrical Bending of Functionally Graded Piezoelectric Plates

doi: 10.21656/1000-0887.430224

School of Civil Engineering, Zhejiang Sci-Tech University, Hangzhou 310018, P.R.China

Received Date: 2022-07-06
Accepted Date: 2022-09-29
Rev Recd Date: 2022-09-29

Available Online: 2022-10-21

Abstract

Abstract

Functionally graded piezoelectric materials (FGPMs), combining the properties of functionally graded materials and piezoelectric materials, provides a new idea for multi-functional and intelligent lightweight components, and it has broad application prospects in electronic devices. Based on the elasticity and electric equilibrium equations, the Mian and Spencer functionally graded plate theory is extended from elastic materials to piezoelectric materials to study the cylindrical bending of FGPM plates, where the material elastic constants, piezoelectric and dielectric parameters are assumed to vary continuously and arbitrarily along thickness direction. Accordingly, the elasticity solutions for cylindrical bending of FGPMs plates under the uniform transverse loading are obtained. Numerical examples are given to demonstrate the influence of piezoelectric effects on the static responses of the presented FGPMs plates.
- piezoelectric effect,
- Mian and Spencer plate theory,
- cylindrical bending,
- elasticity solution

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References(23)

References

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