Skip to main content

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
Cancel
×
×
Home
  • Home
Article
  • Cited by 4
  • Cited by
    Crossref Citations
    Crossref logo
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.
    Autay, R. Koubaa, S. Wali, M. and Dammak, F. 2017. Numerical Implementation of Coupled Anisotropic Plasticity-Ductile Damage in Sheet Metal Forming Process. Journal of Mechanics, p. 1.
    Hsu, Ming-Hung 2008. Dynamic behaviour of wind turbine blades. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 222, Issue. 8, p. 1453.
    Yang, X. H. Zeng, G. W. and Chen, C. Y. 2007. Determination of Mechanical and Electrical Damages of Piezoelectric Material with Periodically Distributed Microvoids. Journal of Mechanics, Vol. 23, Issue. 03, p. 239.
    Huang, K.-Y. and Lee, C.-J. 2007. Design and Development of a Piezoelectric Actuator for the Scanning Probe Microscope Used in Ultrahigh Vacuum. Journal of Mechanics, Vol. 23, Issue. 02, p. 117.
    ×
  • Get access
    Add to cart USD35.00
    Check if you have access via personal or institutional login
    Log in Register Recommend to librarian

Continuum Damage Mechanics for Thermo-Piezoelectric Materials

  • X.-H. Yang (a1), Y. Zhang (a1), Y.-T. Hu (a1) and C.-Y. Chen (a1)
Abstract

With rapidly increasing use of piezoelectric materials in high-temperature environment, it is becoming increasingly important for reliable design of piezoelectric devices to study thermo-electroelastic damage and fracture mechanism. As the first step, a thermo-piezoelectric damage constitutive model is presented from continuum damage mechanics and effective properties of a damaged material are connected with both damages and the initial coefficients according to the theorem of energy equivalence in this paper. Then the finite element equations for a thermo-electroelastic damage problem are given by use of the virtual work principle. Finally, as a numerical illustration example, damage fields around a crack-tip in a three-point bending PZT-5H beam subjected to different thermal loads are calculated and analyzed. It is shown from both the damage curves and contours that influence of environmental temperature on the mechanical damage distribution is great but slight on the electrical damage.

Copyright
COPYRIGHT: © The Society of Theoretical and Applied Mechanics, R.O.C. 2006
Corresponding author
*Associate Professor
**Graduate student
***Professor
References
Hide All
1.Sih, G. c. and Zuo, J. Z., “Multiscale Behavior of Crack Initiation and Growth in Piezoelectric Ceramics,” J. Theoretical Appi. Fract. Mech., 34, pp. 123–141 (2000).
2.Shang, F. L., “Thermal Stress around a Penny-Shaped Crack in a Thermopiezoelectric Solid,” Computational Materials Science, 26, pp. 197–201 (2003).
3.Wang, B. L. and Li, J., “Thermal Stress and Intensity Release in Ferroelectric Materials by Multiple Cracking,” ActaMaterialia, 53, pp. 785–799 (2005).
4.Shang, F., Kuna, M. and Kitamura, T., “Theoretical Investigation of an Elliptical Crack in Thermopiezoelectric Material,” Part I: Analytical Development, J. Theoretical Appl. Fract. Mech., 40, pp. 237–246 (2003).
5.Park, S. B. and Sun, C. T., “Fracture Criteria of Piezoelectric Ceramics,” J. Am. Ceram. Soc., 78, pp. 1475–1480 (1995).
6.Heyer, V., Schneider, G. A., Balke, H., Drescher, J. and Bahr, H. A., “A Fracture Criterion for Conducting Cracks in Homogeneously Poled Piezoelectric PZT-PIC 151 Ceramics,” Acta Mater., 46, pp. 6615–6622 (1998).
7.Gao, H., Zhang, T. Y. and Tong, P., “Local and Global Energy Release Rates for an Electrically Yielded Crack in a Piezoelectric Ceramic,” J. Mech. Phys. Solids, 45, pp. 491–510 (1997).
8.Sze, K. Y. and Pan, Y. S., “Nonlinear Fracture Analysis of Piezoelectric Ceramics by Finite Element Method,” Engng. Fracture Mech., 68, pp. 1335–1351 (2001).
9.Yang, X. H., Chen, C. Y. and Hu, Y. T., “Analysis of Damage near a Conducting Crack in a Piezoelectric Cerami,” Acta Mechanica Solida Sinica, 16, pp. 147–154 (2003).
10.Yang, X. H., Dong, L., Wang, C., Chen, C. Y. and Hu, Y. T., “Transversely Isotropic Damage around Conducting Crack-Tips in a Four-Point Bending Piezoelectric Beam,” Applied Mathematics and Mechanics, 26, pp. 431–440 (2005).
11.Yang, X. H., Dong, L., Chen, C. Y., Wang, C. and Hu, Y. T., “Damage Extension Forces and Piezoelectric Fracture Criteria,” Journal of Mechanics, 20, pp. 277–283 (2004).
12.Yang, X. H., Chen, C. Y., Hu, Y. T. and Wang, C., “Combined Damage Fracture Criteria for Piezoelectric Ceramics,” Acta Mechanica Solida Sinica, 18(1), pp. 21–27 (2005).
13.Yu, S. W. and Qin, Q. H., “Damage Analysis of Thermopiezoelectric Properties: Part I —Crack Tip Singularities,” J. Theoretical Appl. Fract. Mech., 25, pp. 263–277 (1996).
14.Yu, S. W. and Qin, Q. H., “Damage Analysis of Thermopiezoelectric Properties: Part II — Effective Crack Model,” J. Theoretical Appl. Fract. Mech., 25, pp. 279–288 (1996).
15.Huang, J. H., “Micromechanics Determinations of Thermoelectroelastic Fields and Effective Thermoelectroelastic Moduli of Piezoelectric Composites,” Matrials Science and Engineering, 39, pp. 163–172 (1996).
16.Qm, Q. H., Mai, Y. W. and Yu, S. W., “Effective Moduli for Thermopiezoelectric Materials with Microcracks,” International Journal of Fracture, 91, pp. 359–371 (1998).
17.Yang, X. H. and Shen, W., “An Advanced Dynamic Three-Dimensional Finite Element Method to Simulate Deformation-Damage Process of Laminates under Impact,” Engng. Fracture Mech., 49, pp. 631–638 (1994).
18.Altay, G. A. and Dökmeci, M. C., “Fundamental Varialtional Equations of Discontinuous Thermopiezoelectric Fields,” Int. J. Engng. Sci., 34, pp. 769–782 (1996).
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Mechanics
  • ISSN: 1727-7191
  • EISSN: 1811-8216
  • URL: /core/journals/journal-of-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *

CAPTCHA *

Skip to the audio challenge
×

Keywords:

Metrics

Abstract views

Total abstract views: 98 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 13th June 2018. This data will be updated every 24 hours.

Cancel
Confirm
×