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Creep Analysis and Constraint Effect in a Center-Cracked Plate under Biaxial Loading

机译:双向裂纹作用下中心裂纹板的蠕变分析和约束效应

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Typical pressure vessels are subject to biaxial loading. Creep analysis was conducted with two-dimensional finite element method for a center-cracked plate under a range of biaxial loading ratios (λ= -1,0, and 0.5). The effects of crack size and the biaxial loading ratio on the crack tip field are reported. In addition, based on a two-parameter fracture theory, C(t)-A_2(t), where C is a contour integral and is path-independent when the steady state creep is reached (denoted by C~*), and A_2 is a time dependent crack tip constraint parameter. The crack tip stress field calculated from the C(t)-A_2(t) theory is shown to be more accurate than the Hutchinson-Rice-Rosengren (HRR) singularity solution, especially in the case of λ= 0.5. The loading level appears to have little effects on the constraint parameter A_2(t). As creep time increases, the creep zone (based on the equivalent creep strain) increases rapidly but the yield zone (with respect to a reference stress) decreases. Meanwhile, the crack tip constraint is increasing with creep time, particularly for the small cracks. It was also found that the normalized relationship between the contour integral C(t)/C~* and the creep time t/t_T (where t_T is the characteristic time for transition from small-scale creep to extensive creep) is insensitive to the biaxial loading. Therefore, the relationship previously provided for uniaxial loading can be used for biaxial loading.
机译:典型的压力容器承受双轴载荷。在一定范围的双轴载荷比(λ= -1,0和0.5)下,用二维有限元方法对中心开裂的板进行了蠕变分析。报道了裂纹尺寸和双轴载荷比对裂纹尖端场的影响。此外,基于两参数断裂理论C(t)-A_2(t),其中C是轮廓积分,并且在达到稳态蠕变时(与C〜*表示)与路径无关,而A_2是随时间变化的裂纹尖端约束参数。结果表明,从C(t)-A_2(t)理论计算出的裂纹尖端应力场比Hutchinson-Rice-Rosengren(HRR)奇异解更准确,尤其是在λ= 0.5的情况下。加载水平似乎对约束参数A_2(t)几乎没有影响。随着蠕变时间的增加,蠕变区(基于等效蠕变应变)迅速增加,而屈服区(相对于参考应力)减小。同时,裂纹尖端约束随着蠕变时间的增加而增加,特别是对于小裂纹。还发现轮廓积分C(t)/ C〜*与蠕变时间t / t_T(其中t_T是从小尺度蠕变过渡到大蠕变的特征时间)之间的归一化关系对双轴不敏感加载中。因此,先前为单轴加载提供的关系可以用于双轴加载。

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