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Dominance zone for J-A_2 characterization of crack-tip fields and size requirements for fracture testing

机译:J-A_2裂纹尖端场表征的主导区和断裂测试的尺寸要求

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Using trhe J_2 flow theory o f plasticity and within the small-strain framework, full-field finite element solutions are obtained for both dep and shallow crack geometries of single edge notch bar under pure bending [SEN(B)] and central cracked panel in uniform tension [CC(TS)]. These crack-tip stresses are compared with those in the HRR singularity fields and the J-A_2 three-term asymptotic solutions at the same level of applied J. The comparison indicates that the size of the region dominated by the J-A_2 three-term solution is much larger than that of the HRR field around the crack tip. Except for deep crack SEN(B) in low hardening material (e.g. n chemical bounds 10) under fully plastic conditions, the numerical results near the crack tip in both SEN(B) and CC(T) mathc very well with the J-A_2 three-term solutions in the area of interest 1
机译:利用可塑性J_2流动理论并在小应变框架内,获得了单边槽口梁在纯弯曲[SEN(B)]和均匀开裂的中心开裂板的深部和浅部裂纹几何形状的全场有限元解张力[CC(TS)]。将这些裂纹尖端应力与HRR奇异性场中的应力和J-A_2三次渐近解在相同的J施加水平下进行比较。该比较表明,由J-A_2三次项主导的区域的大小解远大于裂纹尖端附近的HRR场。除了在完全塑性条件下低硬化材料中的深裂纹SEN(B)(例如n个化学界10)外,J-A_2的SEN(B)和CC(T)数学中裂纹尖端附近的数值结果都非常好从良好的可塑性到大规模可塑性,在感兴趣区域1

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