CAJ | 학술논문

在非线性电弹性理论构架内,采用电饱和条带模型和复变函数方法,探讨了远场均匀载荷作用下无限大压电介质中裂尖附近的应力场,主要关注裂尖附近的应力场.所得解表明.裂尖附近任意一点处的各规格化应力分量均仅由这一点的角度决定,而与该点到坐标原点的距离无关.最后,基于PZT-5H的数值结果对其裂尖附近各面内的应力分量进行了分析,与相关研究结果比较,本文方法得到的解是有效的.
재비선성전탄성이론구가내,채용전포화조대모형화복변함수방법,탐토료원장균균재하작용하무한대압전개질중렬첨부근적응력장,주요관주렬첨부근적응력장.소득해표명.렬첨부근임의일점처적각규격화응력분량균부유저일점적각도결정,이여해점도좌표원점적거리무관.최후,기우PZT-5H적수치결과대기렬첨부근각면내적응력분량진행료분석,여상관연구결과비교,본문방법득도적해시유효적.
Within the framework of nonlinear electroelasticity,the stress field near to the crack tip in an infinite piezoelectric media subject to a far field uniform loading is studied by using an electrical strip saturation model and the complex variable method.And the emphasis is placed on the stress field near to the crack tip.The obtained solutions show that the normalized stress components at an arbitrary point near to the crack tip are determined by the angle of the point.Moreover,the stress components are independent of the distance from the point to the origin of the coordinate.The distributions of in-plane stress components near to the crack tip are analyzed based on numerical results for PZT-5H.Compared with some related solutions,results show that the solutions are valid.