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首页> 外文期刊>International Journal of Solids and Structures >T-stress evaluation for slightly curved crack using perturbation method
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T-stress evaluation for slightly curved crack using perturbation method

机译：摄动法评价微弯曲裂纹的T应力

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摘要

A general formulation for evaluating the T-stress at crack tips in a curved crack is introduced. In the formulation, a singular integral equation with the distribution of dislocation along the curve is suggested. For a slightly curved crack, a small parameter is generally assumed for the crack configuration. By using the assumption for the small parameter, the perturbation method is suggested and it reduces the singular integral equation into many successive singular integral equations. If the cracked plate has a remote loading and the curve configuration is a quadratic function, the mentioned successive singular integral equations can be solved in a closed form. Therefore, the solution for the T-stress in a closed form is obtained. The obtained results for T-stress are shown by figures. It is found that if the involved parameter is not too small, the influence of the curve configuration is significant. Comparison for T-stresses obtained from a quadratic-shaped curved crack and an arc crack is presented. (C) 2007 Elsevier Ltd. All rights reserved.
机译：介绍了用于评估弯曲裂纹中裂纹尖端的T应力的一般公式。在公式中，提出了具有沿曲线的位错分布的奇异积分方程。对于轻微弯曲的裂纹，通常假定裂纹配置的参数较小。通过使用小参数的假设，提出了摄动法，并将奇异积分方程简化为许多连续的奇异积分方程。如果开裂的板具有较远的载荷，并且曲线构型是二次函数，则可以封闭的形式求解上述连续奇异积分方程。因此，获得了封闭形式的T应力的解决方案。图中显示了获得的T应力结果。已经发现，如果所涉及的参数不太小，则曲线配置的影响是显着的。给出了从二次曲线弯曲裂纹和弧形裂纹获得的T应力的比较。 （C）2007 Elsevier Ltd.保留所有权利。

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