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T-stresses solution and out-of-plane constraint for central cracked plate (CCP) with I-II mixed mode crack under uniaxial compression
Theoretical and Applied Fracture Mechanics ( IF 5.3 ) Pub Date : 2021-07-08 , DOI: 10.1016/j.tafmec.2021.103040
Li-Zhu Jin 1, 2, 3 , Qi Pei 1, 3 , Chen-Yang Yu 1, 3 , Le Chang 1, 3 , Xiao-Hua He 1, 3 , Chang-Yu Zhou 1, 3
Affiliation  

The crack tip constraint effect should be considered in the fracture assessment of structures with cracks, and the in-plane constraint and out-of-plane constraint should be illustrated simultaneously for the three-dimensional cracks in practical engineering structures. The constraint effect of central cracked plate (CCP) specimens with I-II mixed mode crack under uniaxial compression has been investigated quantitatively in present work. The relationship between T-stress components (Tx, Ty, Txy) and in-plane constraint parameter T11 has been established. The effects of a wide range of in-plane and out-of-plane geometrical configurations (including relative crack length a/W and thickness to width ratio t/W), material parameters (including elastic modulus E and Poisson's ratio ν), crack inclination angle β and friction coefficient μ corresponding to stress intensity factors (K), in-plane constraint parameter T11 and out-of-plane constraint parameters T33 and Tz at the crack tip have been calculated and discussed theoretically and numerically. It demonstrates that the constraint parameters can effectively express the stress-strain field at the crack tip. The relative crack length a/W has an influence on the in-plane and out-of-plane constraint parameters, and the thickness to width ratio t/W mainly affects the out-of-plane constraint parameters T33 and Tz. The out-of-plane constraint parameters should be considered for long cracks. There is a loss of out-of-plane constraint under compression when t/W less than or equal to 0.9, which can be much more directly and evidently investigated through the analysis of Tz than T33. The empirical equations for KII, T11 and Tz have been obtained according to theoretical analysis and simulation results, which are convenient and effective for application.



中文翻译:

单轴受压下具有 I-II 混合模式裂纹的中央裂纹板 (CCP) 的T应力解和面外约束

有裂纹结构的断裂评价应考虑裂纹尖端约束效应,对实际工程结构中的三维裂纹应同时说明面内约束和面外约束。目前的工作已经定量研究了单轴压缩下具有 I-II 混合模式裂纹的中央裂纹板 (CCP) 试样的约束效果。之间的关系Ť -stress组分(Ť XŤ ÿŤ XY)和面内约束参数Ť 11已经建立。各种平面内和平面外几何配置(包括相对裂纹长度a / W和厚宽比t / W)、材料参数(包括弹性模量E和泊松比ν)、裂纹的影响倾角β和摩擦系数μ对应于应力强度因子(K),面内约束参数T 11和面外约束参数T 33T z在裂纹尖端处进行了理论和数值计算和讨论。表明约束参数可以有效地表达裂纹尖端的应力应变场。相对裂纹长度a / W 对面内和面外约束参数有影响,厚宽比t / W主要影响面外约束参数T 33T z。对于长裂纹,应考虑面外约束参数。当t / W时,压缩下的面外约束丢失小于或等于0.9,这可以通过T z的分析比T 33更直接和明显地研究。根据理论分析和仿真结果得到了K IIT 11T z的经验方程,便于应用。

更新日期:2021-07-14
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