Plastic zone size and crack tip opening displacement of a Dugdale crack interacting with a coated circular inclusion

Plastic zone size and crack tip opening displacement of a Dugdale crack interacting with a coated circular inclusion
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与涂层圆形夹杂物相互作用的杜格代尔裂纹的塑性区尺寸和裂纹尖端开口位移

DOI:
10.1080/14786435.2010.491806
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发表时间:
2010-06
影响因子:
1.6
通讯作者:
Xiao, Z. M.
Xiao, Z. M.
中科院分区:
材料科学3区
文献类型:
--
作者:
Hoh, H. J.;Luo, J.;Xiao, Z. M.

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在单轴拉伸、均匀拉伸和纯剪切三种不同加载条件下,对涂层圆形夹杂附近裂纹的塑性区尺寸进行了分析研究。裂纹和涂层圆形夹杂物都嵌入无限大的矩阵中,裂纹沿夹杂物的径向定向。在求解过程中,裂纹被模拟为边缘位错的连续分布。用小规模产出的Dugdale模型[J.Mech.太棒了。Solids 8(1960)第100页],在两个裂纹尖端都引入了两条薄薄的屈服塑性区。利用涂覆圆形夹杂与单个位错相互作用的解作为格林函数,将物理问题表示为一组奇异积分方程组。使用埃尔多安和古普塔的方法[Q.J.Appl.数学课。29(1972)p.525]和迭代数值方法,数值求解了塑性区尺寸和裂纹尖端张开位移的奇异积分方程组。
An analytical investigation on the plastic zone size of a crack near a coated circular inclusion under three different loading conditions of uniaxial tension, uniform tension and pure shear was carried out. Both the crack and coated circular inclusion are embedded in an infinite matrix, with the crack oriented along the radial direction of the inclusion. In the solution procedure, the crack is simulated as a continuous distribution of edge dislocations. With the Dugdale model of small-scale yielding [J. Mech. Phys. Solids 8 (1960) p. 100], two thin strips of yielded plastic zones are introduced at both crack tips. Using the solution for a coated circular inclusion interacting with a single dislocation as the Green's function, the physical problem is formulated into a set of singular integral equations. Using the method of Erdogan and Gupta [Q. J. Appl. Math. 29 (1972) p. 525] and iterative numerical procedures, the singular integral equations are solved numerically for the plastic zone sizes and crack tip opening displacement.
DOI: 10.1023/a:1011066521439
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