Abstract
A long thick-walled hollow cylinder of piezothermoelastic materials was studied in this work. The gradient property of the piezoelectric parameter g31 was taken into account. The theory of elasticity was applied to obtain the exact solutions of the cylinder subjected simultaneously to thermal and electric loadings. As an application, these solutions have been success-fully used to study the inverse problems of the material. For comparison, numerical results have been carried out for both graded and double-layered cylinders.
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References
Ding, H.J., Wang, H.M., Chen, W.Q., 2003. Analytical solution for the electroelastic dynamics of a nonhomogeneous spherically isotropic piezoelectric hollow sphere.Archives of Applied Mechanics,73(1–2):49–62.
Hauke, T., Kouvatov, A., Steinhausen, R., Seifert, W., Beige, H., Langhammer, H.T., Abicht, H.P., 2000. Bending behavior of functionally gradient materials.Ferroelectrics,238:195–202.
Olesiak, Z.S., Pyryev, Y.U.A., 1995. A coupled quasi-stationary problem of thermodiffusion for an elastic cylinder.International Journal of Engineering Science,33(6):773–780.
Kapuria, S., Dumir, P.C., Sengupta, S., 1996. Exact piezothermoelastic axisymmetric solution of a finite transversely isotropic cylindrical shell.Computer and Structures,61(6):1085–1099.
Shi, Z.F., 2002. General solution of a density functionally gradient piezoelectric cantilever and its applications.Smart Materials and Structures,11:122–129.
Shi, Z.F., Chen, Y., 2004. Functionally graded piezoelectric cantilever beam under load.Archives of Applied Mechanics,74(3–4):237–247.
Tian, X.G., Shen, Y.P., 2003. Finite element analysis of thermo-mechanical behaviour of piezoelectric structures under finite deformation.Acta Mechanica Solida Sinica,24:169–178.
Birman, V., 1996. Thermal effects on measurements of dynamic processes in composite structures using piezoelectric sensors.Smart Materials and Structures,5:379–385.
Fang, W., 1999. Determination of the elastic modulus of thin film materials using self-deformed micromachined cantilevers.Journal of Micromechanics and Microengineering,9:230–235.
Wu, X.H., Shen, Y.P., Chen, C.Q., 2003. An exact solution for functionally graded piezothermoelastic cylindrical shell as sensors or actuators.Materials Letters,57(22–23):3532–3542.
Zhu, X.H., Wang, Q., Meng, Z.Y., 1995. A functionally gradient piezoelectric actuator prepared by powder metallurgical process in PNN-PZ-PT system.Journal of Materials Science Letters,14:516–518.
Zhong, Z., Shang, E.T., 2003. Three dimensional exact analysis of functionally gradient piezothermoelectric material rectangular plate.Acta Mechanica Sinica,35(5):542–552.
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Project supported by the National Natural Science Foundation of China (No. 50272003) and the Teaching and Research Award Fund for Outstanding Young Teachers in Higher Education Institutions of MOE, China
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Ying, C., Zhi-fei, S. Analysis of a functionally graded piezothermoelastic hollow cylinder. J Zheijang Univ Sci A 6, 956–961 (2005). https://doi.org/10.1631/jzus.2005.A0956
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DOI: https://doi.org/10.1631/jzus.2005.A0956
Key words
- FGM
- Piezothermoelastic materials
- Thick-walled hollow cylinder
- Elastic analysis
- Inverse problem
- Parameter identification