On the Evaluation of Path Independent Integral for Circular ARC Crack#
On the Evaluation of Path Independent Integral for Circular ARC Crack#
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DOI：
10.1080/15397731003727103
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发表时间：
2010-07
影响因子：
3.9
通讯作者：
D. Khan;K. Biswas
中科院分区：
文献类型：
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作者：
D. Khan;K. Biswas
考虑适当的能量平衡定律，导出了二维静止圆弧裂纹在多重载荷作用下的新的守恒积分，包括路径形式和面积形式。作为我们以前的工作的续集，我们在这里提出了进一步的数值结果在有限元上下文中，并检查几个轮廓上计算的各种几何形状的积分的不变性质。调查的第一部分是指增量弹塑性分析下的机械载荷，而在第二部分，分析下进行了热载荷。在计算精度的范围内，本有限元结果表明，路径独立性是很好地保存在两种类型的负载的积分轮廓。
Considering appropriate energy balance laws, new conservation integrals consisting of path and area forms, have been derived by the authors for a two-dimensional stationary circular arc crack subjected to multiple loads. As a sequel to our previous work, we present here further numerical results in the finite element context and examine the invariant property of the integrals computed on several contours for various geometries. The first part of the investigation refers to the incremental elastic–plastic analyses under mechanical loads whereas in the second part; analyses have been carried out under thermal loads. Within the limits of computational accuracy, the present finite element results demonstrate that the path independence is well preserved over the integration contours for both types of loads.