摘要
针对沿z轴极化的BaTiO_3铁电陶瓷在xoy平面内发生平行开裂的问题,建立了断裂力学理论模型。综合运用积分变换法、位错模拟法和格林函数法,推导了该裂纹问题的Cauchy型奇异积分方程组,并采用配点法将其转化为代数方程组。通过对代数方程组进行数值求解,得到了裂纹尖端应力场的强度因子。以2条平行裂纹为例,基于数值计算结果进行了参数分析,讨论了它们的纵向间距与横向间距对应力强度因子的影响规律,并定量揭示了平行裂纹相互"屏蔽"和"干涉"的基本现象,为铁电陶瓷结构的防断裂优化设计提供了理论参考。
The fracture mechanics theoretical model is established for the problem of parallel cracking in the xoy plane of transversely isotropic BaTiO 3 ferroelectric ceramics that is polarized along the z-axis.The methods of integral transform , dislocation simulation and Green's functions are employed to derive the Cauchy-type singular integral equations for the cracks , which are further transformed into algebraic equa-tions by the collocation method .The intensity factors of the crack tip stress field are determined by nu-merically solving the algebraic equations .Finally, a simple example that only involves two parallel cracks is taken to make parametric studies .The effects of the longitudinal space and transverse space between the two cracks on the stress intensity factors are discussed in detail , and then the shielding and interference phe-nomena between the two parallel cracks are quantitatively revealed .The obtained results can serve as theoreti-cal references for the anti-fracture optimal design of structures that are made of ferroelectric ceramics .
出处
《装甲兵工程学院学报》
2016年第4期98-104,共7页
Journal of Academy of Armored Force Engineering
基金
国家自然科学基金资助项目(11372358)
关键词
铁电陶瓷
平行裂纹
屏蔽效应
干涉效应
ferroelectric ceramics
parallel cracks
shielding effect
interference effect
