带裂纹的椭圆孔口问题的应力分析  

STRESS ANALYSIS OF AN ELLIPSE HOLE WITH A STRAIGHT EDGE-CRACK BY COMPLEX VARIABLE METHOD

作　　者：郭怀民[1] 刘官厅[1] 皮建东[1] 

机构地区：[1]内蒙古师范大学数学科学学院,呼和浩特010022

出　　处：《固体力学学报》2007年第3期308-312,共5页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金(10372016);内蒙古自然科学基金(200607010104)资助

摘　　要：断裂现象与材料和结构中的孔洞、缺口或裂纹等缺陷密切相关,这是因为缺陷附近的应力集中明显.该文利用复变方法,通过保角映射研究了带裂纹的椭圆孔洞的平面弹性问题,给出了应力强度因子的解析解.并由此计算了两互相垂直的裂纹问题.The fracture phenomenon is always in close relation to defects, such as holes, notches or cracks in materials and structures because of the strong stress concentration there. By means of complex variable method together with conformal mapping, this paper analyzes the elastic problem of a plate with a elliptic hole wtih a straight edge-crack. The SIFs at the crack tip are obtained. Moreover, the analytical solutions of an elastic plane including two perpendicur cracks are able to be solved out by degenerating the semi-major axis in the crack direction to zero.

关 键 词：带裂纹的椭圆孔洞 应力强度因子 复变方法 保角映射 

分 类 号：O346.1[理学—固体力学]