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带裂纹的椭圆孔口问题的应力分析 被引量:33

STRESS ANALYSIS OF AN ELLIPSE HOLE WITH A STRAIGHT EDGE-CRACK BY COMPLEX VARIABLE METHOD
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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.
出处 《固体力学学报》 EI CAS CSCD 北大核心 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
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 ellipse hole, SIFs, complex variable method, conformal mapping
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参考文献8

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二级参考文献5

  • 1Sih G C,Liebowitz H. Mathematical theories of brittle fracture, in H Liebowitz (Ed),Fracture New York: Academic Press, 1968,2:67 - 190.
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引证文献33

二级引证文献90

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