镍基超级合金准静态断裂的弹塑性相场模型

IF 3.5 3区 工程技术 Q1 MATHEMATICS, APPLIED
L.G. Wu, Q. Shen
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引用次数: 0

摘要

本研究在各向同性硬化的 J2 塑性变量框架内提出了韧性材料准静态断裂的弹塑性相场模型,该模型适用于描述已进行实验中研究的金属准静态行为。这些贡献包括(1) 建立了耦合弹性响应、塑性屈服和损伤演化的自由能函数。(2)构建了新的弹性和塑性能量退化函数,以定量描述弹塑性材料的能量释放和相场演化之间的关系。(3) 推导了损伤演化和塑性屈服准则。(4) 从数值的角度,我们导出了控制方程和相应的弱形式,并通过使用返回映射算法给出了相场模型的整体求解过程。在 Inconel 718 镍基超级合金标准试样上进行的一系列拉伸实验验证了该相场模型。为了更全面地将模拟结果与实验结果进行比较,应用数字图像相关(DIC)技术对试样变形信息进行了实验研究。此外,为了验证模型捕捉复杂裂纹的潜力,我们还进行了 Nooru-Mohamed 试验。数值模拟结果与之前的实验结果非常吻合。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
An elastoplastic phase-field model for quasi-static fracture of nickel-based super-alloys

In the present study, an elastoplastic phase-field model of quasi-static fracture in ductile materials is proposed in the variational framework for J2 plasticity with isotropic hardening, which is suitable to describe the quasi-static behavior of metals as investigated in the performed experiments. These contributions include: (1) the free energy functions for coupling elastic response, plastic yielding and damage evolution are established. (2) The new elastic and plastic energy degradation functions are constructed to quantitatively describe the relationship between energy release and phase-field evolution of elastoplastic materials. (3) Damage evolution and plastic yielding criteria are derived. (4) From a numerical point of view, we derive the governing equations and the corresponding weak forms and the overall solution procedure for the phase-field model is given via the use of a return-mapping algorithm. This phase-field model was validated by a series of tensile experiments on Inconel 718 nickel-based super-alloys standard specimens. In order to compare the simulation results with the experimental results more comprehensively, the digital image correlation (DIC) technique is applied to experimentally investigate the specimen deformation information. In addition, to verify the potential of the model to capture complex cracks, we performed Nooru-Mohamed tests. The numerical simulation results are in good agreements with the results of previous experimental work.

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来源期刊
CiteScore
4.80
自引率
3.20%
发文量
92
审稿时长
27 days
期刊介绍: The aim of this journal is to provide ideas and information involving the use of the finite element method and its variants, both in scientific inquiry and in professional practice. The scope is intentionally broad, encompassing use of the finite element method in engineering as well as the pure and applied sciences. The emphasis of the journal will be the development and use of numerical procedures to solve practical problems, although contributions relating to the mathematical and theoretical foundations and computer implementation of numerical methods are likewise welcomed. Review articles presenting unbiased and comprehensive reviews of state-of-the-art topics will also be accommodated.
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