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Elastic-plastic analysis of off-center cracks in cylindrical structures

机译：圆柱结构偏心裂纹的弹塑性分析

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摘要

This paper presents new elastic and elastic-plastic finite element solutions of the J-integral for a pipe containing off-center through-wall cracks under pure bending. The analysis is based on a three-dimensional nonlinear finite clement method and small-strain theory. One hundred and five analyses were performed using the ABAQUS commercial code for a wide variety of crack sizes, off-center crack angles, and material hardening exponents. The results from these analyses show that the J-integral values at the two crack fronts of an off-center crack are unequal due to the loss of symmetry with respect to the bending plane of the pipe. In addition, the J-integral is larger, and hence, critical at the crack front which is farther away from the bending axis of the pipe. This is because, at that crack front, the tensile stress is larger and the component of the applied bending moment about the crack centerline has a further crack-opening effect. Also at this crack front, the J values can be lower or slightly higher than those of a symmetrically centered crack, depending on the crack size and off-centered angle. For the crack front that is closer to the bending axis, the J values are always lower than those of a symmetrically centered crack. This implies that the load-carrying capacity of a pipe is usually larger for an off-center crack than that for a symmetrically centered crack. Finally, based on these finite element solutions, new analytical expressions of J-integral were developed for fracture analysis of pipes containing off-center cracks.
机译：本文提出了纯弯曲下含偏心贯穿壁裂纹的管道的J积分的新的弹性和弹塑性有限元解决方案。该分析基于三维非线性有限元方法和小应变理论。使用ABAQUS商业代码进行了155次分析，分析了各种裂纹尺寸，偏心裂纹角度和材料硬化指数。这些分析的结果表明，由于相对于管道弯曲面的对称性损失，偏心裂纹的两个裂纹前沿的J积分值不相等。此外，J积分较大，因此在远离管道弯曲轴的裂纹前沿处很关键。这是因为，在该裂纹前沿，拉伸应力较大，并且围绕裂纹中心线施加的弯矩的分量具有进一步的裂纹张开效果。同样在该裂纹前沿，取决于裂纹尺寸和偏心角度，J值可以低于或略高于对称居中的裂纹。对于靠近弯曲轴的裂纹前沿，J值始终低于对称居中裂纹的J值。这意味着，对于偏心裂纹，管道的承载能力通常大于对称中心裂纹的承载能力。最后，基于这些有限元解，开发了J积分的新解析表达式，用于包含偏心裂纹的管道的断裂分析。

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