On the plastic zone size and CTOD study for a Zener–Stroh crack interacting with a circular inclusion
On the plastic zone size and CTOD study for a Zener–Stroh crack interacting with a circular inclusion
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DOI：
10.1007/s00707-011-0466-2
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发表时间：
2011-03
期刊：
影响因子：
2.7
通讯作者：
H. Hoh;Z. Xiao;J. Luo
中科院分区：
文献类型：
--
作者：
H. Hoh;Z. Xiao;J. Luo
给出了嵌套在无限矩阵中的圆形夹杂附近的齐纳-斯特罗裂纹塑性屈服的解析解。裂纹沿夹杂物的径向取向。在求解过程中，将裂纹模拟为边缘位错的连续分布。采用Dugdale小尺度屈服模型，在裂纹尖端引入塑性区。利用圆形夹杂的解，与单个位错相互作用作为格林函数，将物理问题表述为一组奇异积分方程。利用埃尔多安法和迭代数值方法，对塑性区尺寸和裂纹尖端开度位移的奇异积分方程进行了数值求解。通过对Dugdale模型的简化，验证了本文所得到的结果。对距离、剪切模量比、泊松比、加载条件等参数进行了研究。
An analytical solution is given for plastic yielding of a Zener–Stroh crack near a circular inclusion embedded in an infinite matrix. The crack is orientated along the radial direction of the inclusion. In the solution procedure, the crack is simulated as a continuous distribution of edge dislocations. Using the Dugdale model of small-scale yielding, plastic zones are introduced at both crack tips. Using the solution of a circular inclusion, interacting with a single dislocation as the Green’s function, the physical problem is formulated into a set of singular integral equations. With the aid of Erdogan’s method and iterative numerical procedures, the singular integral equations are solved numerically for the plastic zone sizes and crack tip opening displacement. The results obtained in the current work are verified by reduction to simpler cases of the Dugdale model. Various parameters such as the distance, shear modulus ratio, Poisson’s ratio, and loading condition are studied.