Transversely Isotropic Damage Around Conducting Crack-Tip in Four-Point Bending Piezoelectric Beam
-
摘要: 根据电焓密度函数建立了压电材料静态损伤本构模型，详细讨论了横观各向同性力电损伤的一些特征，最后通过对四点弯曲PZT-PIC151梁跨中导电裂纹附近横观各向同性损伤的数值分析，研究了裂纹深度和外加力、电载荷对损伤分布的影响规律．结果表明：裂纹深度和力载荷对力电损伤都有非常明显相似的影响，随着裂纹深度和力载荷的增大，裂纹尖端的力电损伤明显增大，范围也相应扩大；电载荷对力损伤完全不同于对电损伤的影响，电载荷单调地改变裂纹尖端力损伤的大小，不改变力损伤的区域尺寸，但是对电损伤的影响则比较复杂．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.
-
[1] Pak Y E. Linear electro-elastic fracture mechanics of piezoelectric materials[J].Internat J Fracture,1992,54(1):79—100. doi: 10.1007/BF00040857 [2] Sosa H. On the fracture mechanics of piezoelectric solids[J].Internat J Solids Struct,1992,29(21):2613—2622. doi: 10.1016/0020-7683(92)90225-I [3] 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. doi: 10.1016/0022-5096(92)90002-J [4] Park S B, Sun C T. Fracture criteria of piezoelectric ceramics[J].J Am Ceram Soc,1995,78(6):1475—1480. doi: 10.1111/j.1151-2916.1995.tb08840.x [5] 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. doi: 10.1016/S1359-6454(98)00272-9 [6] 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. [7] Krajcinovic D.Continuum damage mechanics[J].Appl Mech Rev,1984,37(1):1—16. [8] YANG Xin-hua,CHEN Chuan-yao,HU Yuan-tai.A static damage constitutive model for piezoelectric materials[A].In:Yang J S,Maugin G A Eds.The Mechanics of Electromagnetic Materials[C].Norwell: Kluwer Academic Publishers, 2003, 259—272. [9] YANG Xin-hua,CHEN Chuan-yao,HU Yuan-tai.Analysis of damage near a conducting crack in a piezoelectric ceramic[J].Acta Mechanica Solida Sinica,2003,16(2):147—154. [10] YANG Xin-hua, 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. doi: 10.1016/0013-7944(94)90055-8 -
点击查看大图
计量
- 文章访问数: 2118
- HTML全文浏览量: 82
- PDF下载量: 545
- 被引次数: 0
下载:
