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Brittle fracture in plane elements with sharp notches under mixed-mode loading

机译:混合模式载荷下带有尖锐缺口的平面元件的脆性断裂

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摘要

Plane structural elements with sharp wedge-shaped notches are considered and the conditions for crack initiation are discussed. The use of the Griffith energy condition would require the assumption of preexistence of a plane crack emanating from the notch vertex at specified direction. To avoid this assumption, a nonlocal crack initiation and propagation condition proposed by Seweryn and Mr6z is applied to study crack initiation. This condition is expressed in terms of normal and tangential traction components acting on a physical plane segment of specified dimension. Mixed-mode conditions are considered for which both critical load value and crack orientation are predicted. The generalized stress intensity factors at the notch tip are determined by applying finite elements accounting for stress singularity. A special device was constructed in order to generate mixed-mode loading conditions in a tensile machine. The experimental program was executed in order to verify predictions of critical load variation and crack orientation for plane notched specimens of polymethyl metacrylate. Experimental data provide satisfactory agreement with model predictions.
机译:考虑具有尖锐楔形凹口的平面结构元件,并讨论了裂纹萌生的条件。格里菲斯能量条件的使用将要求假设在指定方向上从缺口顶点发出的平面裂纹已经存在。为了避免这个假设,将Seweryn和Mr6z提出的非局部裂纹萌生和扩展条件用于研究裂纹萌生。此条件表示为作用在指定尺寸的物理平面段上的法向和切向牵引分量。考虑了混合模式条件,可以预测临界载荷值和裂纹取向。缺口尖端处的广义应力强度因子是通过应用考虑应力奇异性的有限元确定的。为了在拉伸机中产生混合模式加载条件,构造了一种特殊的设备。执行该实验程序是为了验证聚甲基丙烯酸甲酯平面缺口样品的临界载荷变化和裂纹取向的预测。实验数据与模型预测提供了令人满意的一致性。

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