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International Journal of Fracture最新文献

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Experimental analysis of the extension to shear fracture transition in a rock analogue material using digital image correlation method 应用数字图像相关方法对岩石模拟材料中延伸至剪切断裂过渡进行实验分析
IF 2.5 3区 工程技术 Q1 Engineering Pub Date : 2023-08-09 DOI: 10.1007/s10704-023-00734-7
Huyen Thi Phuong Tran, Hung Sy Nguyen, Stéphane Bouissou

This paper presents the results of axi-symmetric extension tests on a Rock Analogue Material that showed a continuous transition from extension fracture to shear fracture with an increase in compressive stress. The analysis used non destructive full-field experimental methods—digital image correlation (DIC), as well as the post-mortem specimens observation. When the mean stress was small, the fractures formed through the mode I cracking at tensile equal to the material tensile strength with smooth surfaces. These surfaces became rougher or delicate plumose patterns as the mean stress increased. Fracture angles also increased progressively from extension fractures to shear fractures. Hybrid fractures formed under mixed tensile and compressive stress states and presented plumose patterns on the rupture surface. DIC results showed the localisation of tensile deformation and the acceleration of deformation at the zone that induced the fracture. The fracture caused a reduction of deformation in the surrounding areas, which showed a release of elastic energy stored in the material during the propagation of fracture.

本文介绍了一种岩石模拟材料的轴对称拉伸试验结果,该试验表明,随着压应力的增加,岩石模拟材料从拉伸断裂向剪切断裂连续过渡。分析采用非破坏性的全场实验方法-数字图像相关(DIC),以及死后标本观察。当平均应力较小时,拉伸时通过I型裂纹形成的断裂等于光滑表面材料的抗拉强度。随着平均应力的增加,这些表面变得粗糙或精致。从伸展裂缝到剪切裂缝,裂缝角度逐渐增大。混合裂缝在拉压混合应力状态下形成,并在破裂面上呈现羽状图案。DIC结果显示拉伸变形局部化,变形加速发生在诱发断裂的区域。断裂使周围区域的变形减小,表明在断裂扩展过程中材料中储存的弹性能得到释放。
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引用次数: 1
Transient heat conduction in the cracked medium by Guyer–Krumhansl model Guyer–Krumhansl模型在裂纹介质中的瞬态热传导
IF 2.5 3区 工程技术 Q1 Engineering Pub Date : 2023-08-01 DOI: 10.1007/s10704-023-00727-6
Wen‐Jei Yang, Ruchao Gao, Zhijun Liu, Yi Cui, A. Pourasghar, Zengtao Chen
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引用次数: 0
Effect of atomistic modeling parameters on the simulation of fracture in graphene 原子建模参数对石墨烯断裂模拟的影响
IF 2.5 3区 工程技术 Q1 Engineering Pub Date : 2023-07-31 DOI: 10.1007/s10704-023-00728-5
M. A. Torkaman-Asadi, M. A. Kouchakzadeh
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引用次数: 0
Variational approach to viscoelastic fracture: comparison of a phase-field and a lip-field approach 粘弹性断裂的变分方法:相场和唇场方法的比较
3区 工程技术 Q1 Engineering Pub Date : 2023-07-28 DOI: 10.1007/s10704-023-00725-8
Rajasekar Gopalsamy, Nicolas Chevaugeon, Olivier Chupin, Ferhat Hammoum
Fracture of viscoelastic materials is considered to be a complex phenomenon due to their highly rate sensitive behavior. In this context, we are interested in the quasi-static response of a viscoelastic solid subjected to damage. This paper outlines a new incremental variational based approach and its computational implementation to model damage in viscoelastic solids. The variational formalism allows us to embed the local constitutive equations into a global incremental potential, the minimization of which provides the solution to the mechanical problem. Softening damage models in their local form are known to result in spurious mesh-sensitive results, and hence, non-locality (or regularization) has to be introduced to preserve the mathematical relevance of the problem. In the present paper, we consider two different regularization techniques for the viscoelastic damage model: a particular phase-field and a lip-field approach. The model parameters are calibrated to obtain some equivalence between both these approaches. Numerical results are then presented for the bidimensional case and both these approaches compare well. Numerical results also demonstrate the ability of the model to qualitatively represent the typical rate-dependent behaviour of the viscoelastic materials. Besides, the novelty of the present work also lies in the use of lip-field approach for the first time in a viscoelastic context.
粘弹性材料具有高度的速率敏感性,因此被认为是一种复杂的断裂现象。在这种情况下,我们感兴趣的准静态响应的粘弹性固体受到损伤。本文概述了一种新的基于增量变分的粘弹性固体损伤建模方法及其计算实现。变分形式允许我们将局部本构方程嵌入到全局增量势中,其最小化提供了力学问题的解决方案。已知局部形式的软化损伤模型会导致虚假的网格敏感结果,因此,必须引入非局域性(或正则化)来保持问题的数学相关性。本文考虑了粘弹性损伤模型的两种正则化方法:特定相场法和唇场法。对模型参数进行了校正,以获得两种方法之间的等效性。然后给出了二维情况下的数值结果,两种方法都比较好。数值结果也证明了该模型定性表征粘弹性材料典型速率依赖行为的能力。此外,本研究的新颖之处还在于首次在粘弹性背景下使用唇场方法。
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引用次数: 0
Identifying crack tip position and stress intensity factors from displacement data 从位移数据中识别裂纹尖端位置和应力强度因子
IF 2.5 3区 工程技术 Q1 Engineering Pub Date : 2023-07-28 DOI: 10.1007/s10704-023-00729-4
Swati Gupta, Grant West, Mark A. Wilson, Scott J. Grutzik, Derek H. Warner

Fracture prognosis and characterization efforts require knowledge of crack tip position and the Stress Intensity Factors (SIFs) acting in the vicinity of the crack. Here, we present an efficient numerical approach to infer both of these characteristics under a consistent theoretical framework from noisy, unstructured displacement data. The novel approach utilizes the separability of the asymptotic linear elastic fracture mechanics fields to expedite the search for crack tip position and is particularly useful for noisy displacement data. The manuscript begins with an assessment of the importance of accurately locating crack tip position when quantifying the SIFs from displacement data. Next, the proposed separability approach for quickly inferring crack tip position is introduced. Comparing to the widely used displacement correlation approach, the performance of the separability approach is assessed. Cases involving both noisy data and systematic deviation from the asymptotic linear elastic fracture mechanics model are considered, e.g. inelastic material behavior and finite geometries. An open source python implementation of the proposed approach is available for use by those doing field and laboratory work involving digital image correlation and simulations, e.g. finite element, discrete element, molecular dynamics and peridynamics, where the crack tip position is not explicitly defined.

断裂预测和表征工作需要了解裂纹尖端位置和作用于裂纹附近的应力强度因子(SIFs)。在这里,我们提出了一种有效的数值方法,可以在一致的理论框架下从噪声非结构化位移数据中推断出这两种特征。该方法利用渐近线弹性断裂力学场的可分性,加快了对裂纹尖端位置的搜索,对有噪声的位移数据特别有用。手稿开始的重要性评估准确定位裂纹尖端的位置时,量化SIFs从位移数据。其次,提出了一种快速推断裂纹尖端位置的可分性方法。与目前广泛应用的位移相关方法进行比较,评价了可分性方法的性能。考虑了涉及噪声数据和系统偏离渐近线弹性断裂力学模型的情况,例如非弹性材料行为和有限几何。所提出的方法的开源python实现可用于涉及数字图像相关和模拟的现场和实验室工作,例如有限元,离散元,分子动力学和周动力学,其中裂纹尖端位置没有明确定义。
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引用次数: 1
On crack nucleation and propagation in elastomers: I. In situ optical and X-ray experimental observations 弹性体裂纹形核和扩展:1 .原位光学和x射线实验观察
IF 2.5 3区 工程技术 Q1 Engineering Pub Date : 2023-07-27 DOI: 10.1007/s10704-023-00714-x
Jinlong Guo, Krishnaswamy Ravi-Chandar

This article presents the results of an investigation of crack nucleation and propagation in a transparent polydimenthylsiloxane (PDMS) elastomer. The main objective of the investigation is to characterize quantitatively the evolution of crack nucleation and propagation behavior not just through the usual macroscopic load and displacement data, but with synchronized optical images at high spatial and adequate temporal resolution that will resolve the evolution of the failure processes. This is augmented with X-ray computed tomography (CT) scans to characterize the three-dimensional geometry of the cracks nucleated in the interior of the elastomer. Towards this goal, we reproduce the classical poker-chip experiment of Gent and Lindley (Proc R Soc Lond A 249(1257):195–205, 1959) in which the specimen’s diameter-to-thickness ratio is varied over a broad range to cover crack nucleation, propagation, and their coalescence. These experiments are performed on transparent PDMS with different compositions, first in a specially built loading machine that is fitted with a high magnification microscopic camera that permits the measurement of the load while simultaneously providing images of the specimen configuration and subsequently in an apparatus built for in situ observations using an X-ray CT scanning system. These experiments reveal that nucleation of multiple microcracks dominates when the diameter-to-thickness aspect ratio (alpha ) is sufficiently large, because the incompressibility of the material induces substantial, nearly uniform hydrostatic tension in the specimen. In contrast, specimens with smaller aspect ratio tend to nucleate fewer cracks, and are dominated by the growth of these cracks. At even smaller (alpha ), the hydrostatic stress is significantly lowered and failure is dominated by surface flaws. The three-dimensional geometry, and the spatial distribution of the nucleated cracks were evaluated using optical microscopy and X-ray CT scans. This revealed cracks of three different shapes, one of which was confined in a layer near to the upper or bottom boundary of the poker-chip, another was across the thickness, but with a tilt relative to the axis of the specimen, and the last was propagating along the radial direction.

本文介绍了透明聚硅氧烷(PDMS)弹性体裂纹形核和扩展的研究结果。研究的主要目的是定量表征裂纹形核和扩展行为的演变,而不仅仅是通过通常的宏观载荷和位移数据,而是通过高空间和足够的时间分辨率的同步光学图像来解决破坏过程的演变。通过x射线计算机断层扫描(CT),可以对弹性体内部裂缝的三维几何形状进行表征。为了实现这一目标,我们重现了Gent和Lindley的经典扑克片实验(Proc R Soc load A 249(1257):195 - 205,1959),其中试样的直径与厚度比在很宽的范围内变化,以覆盖裂纹的成核、扩展和合并。这些实验是在不同成分的透明PDMS上进行的,首先在一个专门建造的装载机器中进行,该机器配备了一个高放大显微镜相机,可以在测量负载的同时提供样品结构的图像,然后在一个使用x射线CT扫描系统进行现场观察的设备中进行。这些实验表明,当径厚比(alpha )足够大时,多个微裂纹的成核占主导地位,因为材料的不可压缩性在试样中引起了大量的、几乎均匀的静水张力。而纵横比越小的试样,裂纹的形核越少,且以裂纹的扩展为主导。在更小的(alpha ),静水应力显著降低,破坏主要是表面缺陷。利用光学显微镜和x射线CT扫描评估了成核裂纹的三维几何形状和空间分布。这揭示了三种不同形状的裂缝,其中一种被限制在靠近扑克片的上或下边界的一层,另一种跨越厚度,但相对于试样的轴线有倾斜,最后一种沿着径向传播。
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引用次数: 0
Continuum-kinematics-based peridynamics and phase-field approximation of non-local dynamic fracture 基于连续运动学的非局部动态断裂周动力学与相场逼近
IF 2.5 3区 工程技术 Q1 Engineering Pub Date : 2023-07-22 DOI: 10.1007/s10704-023-00726-7
Kai Partmann, C. Wieners, K. Weinberg
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引用次数: 1
The essential work of fracture in peridynamics 周动力学中断裂的基本工作
IF 2.5 3区 工程技术 Q1 Engineering Pub Date : 2023-07-10 DOI: 10.1007/s10704-023-00705-y
Christer Stenström, Kjell Eriksson, Florin Bobaru, Stefan Golling, Pär Jonsén

In this work, the essential work of fracture (EWF) method is introduced for a peridynamic (PD) material model to characterize fracture toughness of ductile materials. First, an analytical derivation for the path-independence of the PD J-integral is provided. Thereafter, the classical J-integral and PD J-integral are computed on a number of analytical crack problems, for subsequent investigation on how it performs under large scale yielding of thin sheets. To represent a highly nonlinear elastic behavior, a new adaptive bond stiffness calibration and a modified bond-damage model with gradual softening are proposed. The model is employed for two different materials: a lower-ductility bainitic-martensitic steel and a higher-ductility bainitic steel. Up to the start of the softening phase, the PD model recovers the experimentally obtained stress–strain response of both materials. Due to the high failure sensitivity on the presence of defects for the lower-ductility material, the PD model could not recover the experimentally obtained EWF values. For the higher-ductility bainitic material, the PD model was able to match very well the experimentally obtained EWF values. Moreover, the J-integral value obtained from the PD model, at the absolute maximum specimen load, matched the corresponding EWF value.

本文介绍了一种用于表征延性材料断裂韧性的周动力(PD)材料模型的断裂基本工作(EWF)方法。首先,给出了PD - j积分路径无关性的解析推导。在此基础上,计算了若干解析裂纹问题的经典j积分和PD j积分,研究了其在薄板大规模屈服条件下的表现。为了表示高度非线性的弹性行为,提出了一种新的自适应粘结刚度标定方法和一种改进的逐渐软化粘结损伤模型。该模型适用于两种不同的材料:低延展性贝氏体-马氏体钢和高延展性贝氏体钢。直到软化阶段开始,PD模型恢复了实验得到的两种材料的应力应变响应。由于低延性材料对缺陷存在的破坏敏感性高,PD模型无法恢复实验得到的EWF值。对于高延展性贝氏体材料,PD模型能很好地匹配实验得到的EWF值。PD模型得到的j积分值在绝对最大试件荷载下与相应的EWF值相匹配。
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引用次数: 0
Improved cohesive zone model: integrating strain rate, plastic strain, variable damping, and enhanced constitutive law for fracture propagation 改进的内聚区模型:整合应变率、塑性应变、变阻尼和增强的断裂扩展本构律
IF 2.5 3区 工程技术 Q1 Engineering Pub Date : 2023-07-06 DOI: 10.1007/s10704-023-00723-w
A. Tabiei, Li Meng
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引用次数: 0
Experimental investigation of the alternate recurrence of quasi-static and dynamic crack propagation in PMMA PMMA准静态与动态裂纹扩展交替再现的实验研究
IF 2.5 3区 工程技术 Q1 Engineering Pub Date : 2023-07-05 DOI: 10.1007/s10704-023-00717-8
Raphael Heinzmann, Rian Seghir, Syed Yasir Alam, Julien Réthoré

The alternate (stick-slip) cracking phenomenon in Poly(methyl methacrylate) (PMMA) was investigated using high-speed imaging and digital image correlation (DIC). PMMA is known to show a great variety of fracture behaviors by even small changes in loading conditions. With TDCB-shaped samples and under a range of constant extension rates, the phenomenon of alternate cracking is observed. Here, loops of successive quasi-static and dynamic crack propagation are found within a single fracture experiment suggesting a ‘forbidden’ velocity regime. For the first time, such material/structural cyclic fracture behavior is examined through the lens of linear elastic fracture mechanics (LEFM) by using in-situ High-Speed (HS) DIC. Energy release rates and crack velocities during fracture experiments are derived from full-field measurements using Williams’ series expansion. Fracture surfaces of post-mortem samples have been systematically analyzed using optical microscopy. The investigation of the actual limits of the ‘forbidden’ velocity regime in terms of critical velocity and energy release rate in relation to post-mortem crack length features is achieved by holistic experimental data on alternate cracking. This work provides key experimental data regarding the improved understanding of a unified theoretical framework of crack instabilities.

采用高速成像和数字图像相关(DIC)技术研究了聚甲基丙烯酸甲酯(PMMA)的交替(粘滑)开裂现象。已知PMMA即使在加载条件下发生很小的变化,也会表现出多种断裂行为。采用tdcb型试样,在一定拉伸速率范围内,观察到交替开裂现象。在这里,在单个断裂实验中发现了连续准静态和动态裂纹扩展的循环,这表明存在“禁止”速度状态。利用原位高速(HS) DIC技术,首次从线弹性断裂力学(LEFM)的角度研究了这种材料/结构的循环断裂行为。在断裂实验中,能量释放率和裂纹速度由Williams级数展开得到。用光学显微镜系统地分析了死后样品的断裂面。根据临界速度和能量释放率与死后裂纹长度特征的关系,对“禁止”速度范围的实际限制进行了调查,这是通过交替裂纹的整体实验数据实现的。这项工作提供了关键的实验数据,提高了对裂纹不稳定性统一理论框架的理解。
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引用次数: 0
期刊
International Journal of Fracture
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