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郝天护, 张晓堤, 黄克智. 一种弹性损伤材料的Ⅲ型裂纹解[J]. 力学学报, 1991, 23(5): 571-580. DOI:10.6052/0459-1879-1991-5-1995-878
引用本文: 郝天护, 张晓堤, 黄克智. 一种弹性损伤材料的Ⅲ型裂纹解[J]. 力学学报, 1991, 23(5): 571-580.DOI:10.6052/0459-1879-1991-5-1995-878
THE ANTI-PLANE SHEAR FIELD FOR CRACK IN INFINITE SLAB OF AN ELASTO-DAMAGED MATERIAL[J]. Chinese Journal of Theoretical and Applied Mechanics, 1991, 23(5): 571-580. DOI:10.6052/0459-1879-1991-5-1995-878
Citation: THE ANTI-PLANE SHEAR FIELD FOR CRACK IN INFINITE SLAB OF AN ELASTO-DAMAGED MATERIAL[J].Chinese Journal of Theoretical and Applied Mechanics, 1991, 23(5): 571-580.DOI:10.6052/0459-1879-1991-5-1995-878

一种弹性损伤材料的Ⅲ型裂纹解

THE ANTI-PLANE SHEAR FIELD FOR CRACK IN INFINITE SLAB OF AN ELASTO-DAMAGED MATERIAL

  • 摘要:本文用复变函数中保角映射的方法求得了一种弹性损伤材料的 Ⅲ 型裂纹在小范围损伤条件下的全场解。给出了损伤区形状、损伤耗散能、裂纹表面剪开位移及损伤区前方应力分布等数值结果。为校核小范围损伤条件,还计算了距裂纹尖端不同远处本文解与k_Ⅲ 场之差。

    Abstract:This paper is concerned with an infinite slab containing a semi-infinite crack, which is subjected to the anti-plane shear km field at infinity. The slab is made of elasto-damaged material. The analytical solution is obtained by use of conformal mapping. The shape of damage zone, damage dissipative enetgy, shear opening displacements on crack surface and some stress distribution curves are shown. The far field condition is checked. The asymptotic behavior near the tip of the crack is given.

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