内蒙古大学学报（自然科学版）
內矇古大學學報（自然科學版）
내몽고대학학보（자연과학판）
ACTA SCIENTIARUM NATURALIUM UNIVERSITATIS NEIMONGOL
2010年
2期
186-190
,共5页
保角变换%带不对称双裂纹的椭圆孔口%反平面剪切%复变函数方法%应力强度因子
保角變換%帶不對稱雙裂紋的橢圓孔口%反平麵剪切%複變函數方法%應力彊度因子
보각변환%대불대칭쌍렬문적타원공구%반평면전절%복변함수방법%응력강도인자
conformal mapping%circular hole with asymmetry cracks%anti-plane problem%the complex variable function method%SIF
利用复变函数方法,通过构造保角映射,研究了带不对称裂纹的圆形孔口的反平面剪切问题,给出了Ⅲ型裂纹问题的应力强度因子.在极限情形下,不仅可以还原为已有的结果,而且求得带对称双裂纹的圆形孔口问题、带单裂纹的圆形孔口问题在裂纹尖端处的Ⅲ型应力强度因子.
利用複變函數方法,通過構造保角映射,研究瞭帶不對稱裂紋的圓形孔口的反平麵剪切問題,給齣瞭Ⅲ型裂紋問題的應力彊度因子.在極限情形下,不僅可以還原為已有的結果,而且求得帶對稱雙裂紋的圓形孔口問題、帶單裂紋的圓形孔口問題在裂紋尖耑處的Ⅲ型應力彊度因子.
이용복변함수방법,통과구조보각영사,연구료대불대칭렬문적원형공구적반평면전절문제,급출료Ⅲ형렬문문제적응력강도인자.재겁한정형하,불부가이환원위이유적결과,이차구득대대칭쌍렬문적원형공구문제、대단렬문적원형공구문제재렬문첨단처적Ⅲ형응력강도인자.
By means of the complex variable function method and using the technique of conformal mapping, the anti-plane shear problem about a circular hole with asymmetry cracks is investigated and the solution of the stress intensity factor (SIFs) of mode Ⅲ is found out. Under the condition of limitation, not only the known result can be obtained but also the solutions of the mode Ⅲ SIFs at the crack tip to a circular hole with two straight cracks and a circular hole with a straight crack are found out.
