Evaluation of Validity Criteria for Subsize Compact Tension Specimens Using a Bending Modified J-A2 Solution

K. Bagnoli, G. Thorwald, R. Holloman, Y. Hioe
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Abstract

Many existing pieces of plant equipment do not have original impact test data or suffer from a loss in toughness over time. As a result, the ability to remove material for testing can be of significant value. Often, extraction of sufficient material for conducting fracture toughness testing necessitates weld repair to fill in the sample location. Some equipment may also require stress relief. Use of subsize test specimens that minimizes the amount of material removed can permit local thin area acceptance criteria to be met and avoids weld repair in most cases. However, for subsize specimens that are substantially smaller than conventional geometries, it is important to examine the limits within which a valid J integral can be measured when tests display significant amount of ductility. Standards like ASTM E1820-20 provide restrictions on the maximum J integral (Jmax) based on specimen thickness (B), uncracked ligament length (bo) as well as maximum crack growth Δa. These limits ensure the stress-strain fields at the crack tip are well described by J, a condition referred to as J dominance. In the first phase of this project, detailed 3D FEA analyses of subsize compact tension C(T) specimens (commonly called mini-CT) have been performed to explore the criteria necessary to obtain a valid measurement of J. This is generally considered to be a function of the materials hardening exponent, mode of loading, and the specimen dimensions. One methodology to examine if J controlled crack growth exists is to evaluate the crack tip stress field, and compare this to the theoretical HRR solution. In the case of the mini-CT, due to limitations associated with the small specimen size and extent of yielding across the uncracked ligament, the two parameter J-A2 solution was used to extend the range of J dominance. Additional modification of J-A2 is made by accounting for the effect of global bending on crack tip opening stress (J-A2-M) following the procedures developed by Zhu et al. [1] and Chao et al. [2] for SEN(B) specimens. The results of this study indicate that Jmax for the mini-CT may be given as Jmax<(Bn,bo)σo5 for typical pressure vessel steels. Where Bn is the specimen net thickness, bo is the ligament length and σo is the yield stress. However, test results as well as consideration for plastic collapse suggest that while a valid measurement of initiation J (Ji) may be possible, the extent of J controlled crack growth is more restrictive than the ASTM E 1820-20 limit of Δa = 0.25bo, and may be closer to 0.08 bo.
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使用弯曲修正J-A2解决方案评估亚尺寸致密拉伸试样的有效性标准
许多现有的工厂设备没有原始的冲击试验数据,或者随着时间的推移而遭受韧性损失。因此,去除用于测试的材料的能力可能具有重要的价值。通常,为了提取足够的材料进行断裂韧性测试,需要进行焊缝修复以填充样品位置。有些设备可能还需要减压。使用小尺寸试样可以最大限度地减少材料的去除量,从而满足局部薄区域的验收标准,并在大多数情况下避免焊接修复。然而,对于比传统几何形状小得多的亚尺寸试样,当试验显示大量延性时,检查有效J积分可以测量的极限是很重要的。ASTM E1820-20等标准根据试样厚度(B)、未开裂韧带长度(bo)以及最大裂纹扩展Δa对最大J积分(Jmax)进行了限制。这些极限确保了裂纹尖端的应力-应变场被J很好地描述,这种情况被称为J优势。在这个项目的第一阶段,详细的三维有限元分析的亚尺寸致密拉伸C(T)试样(通常称为迷你ct)已经执行,以探索必要的标准,以获得有效的测量J.这通常被认为是一个函数的材料硬化指数,加载模式和试样尺寸。检验J控制裂纹扩展是否存在的一种方法是评估裂纹尖端应力场,并将其与理论HRR解进行比较。在mini-CT的情况下,由于与小样本尺寸和未裂韧带屈服程度相关的限制,使用两参数J- a2溶液来扩大J优势的范围。根据Zhu et al.[1]和Chao et al.[2]为SEN(B)试样开发的程序,通过考虑整体弯曲对裂纹尖端开启应力(J-A2- m)的影响,对J-A2进行了额外的修改。研究结果表明,对于典型的压力容器钢,微型ct的Jmax可取为Jmax<(Bn,bo)σo5。式中,Bn为试样净厚度,bo为韧带长度,σo为屈服应力。然而,试验结果以及对塑性破坏的考虑表明,虽然可以有效地测量起裂J (Ji),但J控制裂纹扩展的程度比ASTM E 1820-20的极限Δa = 0.25bo更为严格,可能更接近0.08 bo。
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