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。
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.
出处
《应用数学和力学》
EI
CSCD
北大核心
2005年第4期394-402,共9页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10172036
50378041)
关键词
横观各向同性损伤
导电裂纹
压电陶瓷
四点弯曲梁
transversely isotropic damage
conducting crack
piezoelectric ceramic
four_point bending beam