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ANALYTICAL SOLUTIONS OF CRACK TIP PLASTICITY ZONE SHAPE FOR A SEMI-INFINITE CRACK

机译:半无限裂纹的裂纹尖端塑性区形状的解析解

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摘要

In this work, closed-form analytical solutions for the plasticity zone shape at the tip of a semi-infinite crack are developed. The material is assumed isotropic with a linear elastic-perfectly plastic constitutioa The solutions have been developed for the cases of plane stress and plane strain. The three crack modes, mode Ⅰ, Ⅱ and Ⅲ, have been considered. Finally, prediction of the plasticity zone extent has been performed for both the Von Mises and Tresca yield criterion. Significant differences have been found between the plane stress and plane strain conditions, as well as between the three crack modes' solutions. Also, significant differences have been found when compared to classical plasticity zone calculations using the Irwin approach.
机译:在这项工作中,开发了半无限裂纹尖端塑性区形状的封闭形式解析解。假定该材料是具有线性弹性完美塑性成分的各向同性材料。已经针对平面应力和平面应变的情况开发了解决方案。已经考虑了三种裂纹模式,即模式Ⅰ,Ⅱ和Ⅲ。最后,对冯·米塞斯(Von Mises)和特雷斯卡(Tresca)屈服准则均进行了可塑性区范围的预测。在平面应力和平面应变条件之间,以及在三种裂纹模式的解决方案之间,发现了显着差异。此外,与使用Irwin方法的经典可塑性区计算相比,已经发现了显着差异。

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