Crack opening displacement for two unequal straight cracks with coalesced plastic zones – A modified Dugdale model
Crack opening displacement for two unequal straight cracks with coalesced plastic zones – A modified Dugdale model
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DOI：
10.1016/j.apm.2011.02.018
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发表时间：
2011-08
影响因子：
5
通讯作者：
R. Bhargava;S. Hasan
中科院分区：
文献类型：
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作者：
R. Bhargava;S. Hasan
研究的问题是由两条共线不等发丝直准静态裂纹弱化的无限板。在垂直于裂纹边缘的方向上施加无穷大的均匀恒定张力。因此，裂纹的边缘在模式 I 型变形中打开。无穷大处的张力增加到极限，使得在裂纹的两个相邻内部尖端处形成的塑性区域合并。为了阻止裂纹进一步张开，在塑性区域的边缘施加法向内聚可变应力分布。获得了承载能力和裂纹张开位移（COD）的封闭式解析表达式。讨论了一个说明性案例，以研究承载能力和裂纹张开位移相对于影响参数（即）的行为。裂纹长度、塑性区长度和两条裂纹之间的裂纹间距。获得的结果以图形方式报告并进行分析。
The problem investigated is of an infinite plate weakened by two collinear unequal hairline straight quasi-static cracks. Uniform constant tension is applied at infinity in a direction perpendicular to the rims of the cracks. Consequently the rims of the cracks open in Mode I type deformation. The tension at infinity is increased to the limit such that the plastic zones developed at the two adjacent interior tips of cracks get coalesced. To arrest the crack from further opening normal cohesive variable stress distribution is applied on the rims of the plastic zones. Closed form analytic expressions are obtained for load bearing capacity and crack opening displacement (COD). An illustrative case is discussed to study the behavior of load bearing capacity and crack opening displacement with respect to affecting parameters viz. crack length, plastic zone length and inter crack distance between the two cracks. Results obtained are reported graphically and analyzed.