Abstract
A static damage constitutive model was proposed on basis of the electrical enthalpy density, and then some characteristics of transversely isotropic damage were discussed. Finally, the effects of both crack depth and applied loads on damage distributions were investigated through numerically analyzing transversely isotropic damage in a four-point bending PZT-PIC151 beam with a central conducting crack. Some conclusions were given: 1) Crack depth and mechanical loading have great influence on both mechanical and electrical damages. With their increment, the damages at crack-tip obviously increase and their region sizes also expand. 2) Effects of electrical loading on the two kinds of damages are obviously different. Electrical loading monotonously changes magnitude but region size of mechanical damage, whose effect on electrical damage is very complex.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Pak Y E. Linear electro-elastic fracture mechanics of piezoelectric materials[J].International J Fracture, 1992,54(1): 79–100.
Sosa H. On the fracture mechanics of piezoelectric solids[J].International J Solids Struct, 1992,29(21): 2613–2622.
Suo Z, Kuo C M, Barnett D M,et al. Fracture mechanics for piezoelectric ceramics[J].J Mech Phys Solids 1992,40(4): 739–765.
Park S B, Sun C T. Fracture criteria of piezoelectric ceramics[J].J Am Ceram Soc, 1995,78(6): 1475–1480.
Heyer V, Schneider G A, Balke H,et al. A fracture criterion for conducting cracks in homogeneously poled piezoelectric PZT-PIC 151 ceramics[J].Acta Mater, 1998,46(18): 6615–6622.
Gao H, Zhang T Y, Tong P. Local and global energy release rates for an electrically yielded crack in a piezoelectric ceramic[J].J Mech Phys Solids, 1997,45(4): 491–510.
Krajcinovic D. Continuum damage mechanics[J].Appl Mech Rev, 1984,37(1): 1–16.
Yang Xinhua, Chen Chuanyao, Hu Yuantai. A static damage constitutive model for piezoelectric materials[A]. In: Yang J S, Maugin G A (eds)The Mechanics of Electromagnetic Materials[C]. Kluwer Academic Publishers, Norwell, 2003, 259–272.
Yang Xinhua, Chen Chuanyao, Hu Yuantai. Analysis of damage near a conducting crack in a piezoelectric ceramic[J].Acta Mechanica Solida Sinica, 2003,16(2): 147–154.
Yang Xinhua, Shen W. An advanced dynamic three-dimensional finite element method to simulate deformation-damage process of laminates under impact[J].Engng Fracture Mech, 1994,49(4): 631–638.
Author information
Authors and Affiliations
Corresponding author
Additional information
Contributed by WANG Cheng
Project supported by the National Natural Science Foundation of China (No. 10172036 and 50378041)
Rights and permissions
About this article
Cite this article
Xin-hua, Y., Liang, D., Cheng, W. et al. Transversely isotropic damage around conducting crack-tip in four-point bending piezoelectric beam. Appl Math Mech 26, 431–440 (2005). https://doi.org/10.1007/BF02465381
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02465381