摘要
给出一种针对含椭圆孔的导电薄板在电磁力作用下的分析方法。其研究重心是定量计算椭圆孔对电流密度以及板内应力分布在椭圆长轴端点处的集中效应。分析引入椭圆坐标,以助于处理问题的边界条件,并最终给出直角坐标下各分量的对应结果,以便于实际应用。首先求出薄板内电流密度分布,然后考虑一类简化的计算模型,把应力求解确定为反平面剪切问题,进而推出应力在板内分布的解析解。并利用所获得的椭圆孔洞结果推断出Ⅲ型裂纹的应力强度因子。
Stress distribution is determfined in a thin conductive plate containing an elliptic hole under the external electromagnetic loads. The aim of this study is to explore the concentrating effects of both the electric current density and the stresses in the plate due to the existence of the elliptic hole. Use is made of the elliptic coordinates for the ease of treating ellipse shaped boundary, while the analyrical results for the components in the Cartesian coordinates are provided for convenience of application. After the distribution of the current density is derived, an anti-plane shear problem is formulated whose solution is obtained in closed form. The mode Ⅲ stress intensity factor is deduced by considering the ease in which the minor axis vanishes when the ellipse degenerates to a Griffith crack.
出处
《机械强度》
CAS
CSCD
北大核心
2007年第3期492-495,共4页
Journal of Mechanical Strength
关键词
电磁力
电流场
应力计算
Electromagnetic loads
Electric current field
Stress analysis
