Theoretical and Applied Fracture Mechanics最新文献_第6页

Determination and evolution of mode-I dynamic fracture toughness in granite under coupled water pressure and static stress 水压与静应力耦合作用下花岗岩i型动态断裂韧性的测定与演化

IF 5.6 2区工程技术 Q1 ENGINEERING, MECHANICAL

Theoretical and Applied Fracture Mechanics

Pub Date : 2026-04-01 Epub Date: 2026-01-12 DOI: 10.1016/j.tafmec.2026.105459

Jiefang Jin, Xiaowang Peng, Daoxue Yang, Youfeng Xiao, Huiying Xiong, Shuang Hao, Lixing Fang, Wei Yuan

Disasters such as water inrush induced by blasting and excavation frequently occur in deep rock engineering. These are closely associated with microcrack formation and expansion in rock. Their prevention requires a thorough understanding of the dynamic fracture behavior of rocks under coupled static stress and water pressure conditions. To address this issue, a testing method for determining the mode-I dynamic fracture toughness of rocks under such coupled conditions was developed using a self-designed rock dynamics system capable of applying static stress and water pressure. Dynamic fracture experiments were conducted on granite specimens to investigate the effects of dynamic loading rate and water pressure on mode-I dynamic fracture toughness. An evolution model was then established. The evolution mechanism was further elucidated through combined macroscopic and microscopic fracture analyses. Results indicate that, under a constant water pressure, the mode-I dynamic fracture toughness follows a power-function increase with increasing loading rate, although the enhancement becomes less pronounced at high loading rates. Under a fixed loading rate, the toughness rises linearly with water pressure. Macroscopically, higher water pressure and loading rate reduce both fracture expansion contour roughness and fractal dimension. Microscopically, the fracture mechanism transitions from intergranular to transgranular failure. These findings provide theoretical guidance for preventing water inrush disasters induced by blasting and excavation.

在深部岩体工程中，爆破开挖引起突水等灾害是常见的灾害。它们与岩石微裂纹的形成和扩展密切相关。预防这些问题需要彻底了解岩石在静应力和水压耦合条件下的动态破裂行为。为了解决这一问题，利用自行设计的能够施加静应力和水压的岩石动力学系统，开发了在这种耦合条件下确定岩石i型动态断裂韧性的测试方法。通过对花岗岩试件进行动态断裂试验，研究动加载速率和水压对花岗岩ⅰ型动态断裂韧性的影响。然后建立了进化模型。通过宏观与微观相结合的断裂分析进一步阐明了其演化机制。结果表明，在恒定水压条件下，随着加载速率的增加，ⅰ型动态断裂韧性呈幂函数增长，但在高加载速率下，这种增强不明显；在一定加载速率下，韧性随水压线性上升。宏观上，较高的水压和加载速率降低了裂缝扩展轮廓粗糙度和分形维数。微观上，断裂机制由晶间断裂向穿晶断裂转变。研究结果对防治爆破开挖突水灾害具有一定的理论指导意义。

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引用次数: 0

Fracture mechanical properties of ultra-high performance concrete under mode I/II mixed fracture: A study on the coupling effect of steel Fiber content and crack-to-depth ratio I/II型混合断裂下超高性能混凝土的断裂力学性能——钢纤维掺量与裂缝深度比耦合效应研究

IF 5.6 2区工程技术 Q1 ENGINEERING, MECHANICAL

Theoretical and Applied Fracture Mechanics

Pub Date : 2026-04-01 Epub Date: 2026-01-12 DOI: 10.1016/j.tafmec.2026.105451

Zhiqing Zhao, Xiangfei Cheng, Guoqing Li, Xingqing Gu, Chen Wu, Peiwei Gao

Ultra-high performance concrete (UHPC) is a widely used material in long-span structures, and its service performance and failure process are often governed by Mode I/II mixed fracture. To reveal the mixed-mode fracture mechanism of UHPC beams under the coupling effect of steel fiber content (referring to volume fraction V_f) and Crack-to-depth Ratio (CDR), a three-point bending experiment for UHPC specimens with inclined prefabricated cracks was designed in this study by considering the V_f range of 0%–3% and the CDR range of 0.15–0.80. Specifically, the data of load, displacement, and crack propagation path evolution throughout the entire fracture process were obtained via the load-crack mouth opening displacement (P-CMOD) curves by employing the digital image correlation (DIC) technology. The Mode I/II components of the crack initiation toughness and unstable fracture toughness were derived using the single-specimen η-method combined with linear elastic finite element analysis. The results indicate that increasing the steel fiber content can significantly enhance the unstable load, whereas a higher CDR weakens the fiber strengthening efficacy and reduces the unstable load of the material. Both Mode I and Mode II components of the crack initiation toughness reached their threshold values at a CDR of 0.45. As the fiber content and CDR increased further, the unstable fracture gradually transitioned from being Mode I-dominated to Mode II-dominated. DIC analysis shows that when CDR < 0.60, steel fibers primarily retarded crack propagation by inhibiting the equivalent crack opening displacement (COD_eff); when CDR ranged from 0.60 to 0.80, steel fibers achieved energy dissipation at the crack tip by restricting the equivalent crack sliding displacement (CSD_eff). By revealing the coupling mechanism between geometric constraints and fiber bridging, this study quantified the dynamic correlations among displacement, load, and crack propagation under Mode I/II mixed fracture, providing important theoretical support for the crack resistance design and performance evaluation of UHPC structures.

超高性能混凝土（UHPC）是大跨度结构中广泛应用的材料，其使用性能和破坏过程往往受I/II型混合断裂的支配。为了揭示钢纤维含量（指体积分数Vf）和裂纹深度比（CDR）耦合作用下UHPC梁的混合模式断裂机理，本研究设计了具有倾斜预制裂缝的UHPC试件三点弯曲试验，Vf范围为0% ~ 3%，CDR范围为0.15 ~ 0.80。具体而言，采用数字图像相关（DIC）技术，通过载荷-裂纹开口位移（P-CMOD）曲线获得整个断裂过程中的载荷、位移和裂纹扩展路径演化数据。采用单试样η法结合线弹性有限元分析，推导了裂纹起裂韧性和不稳定断裂韧性的I/II型分量。结果表明：增加钢纤维含量可显著增强材料的不稳定载荷，而较高的CDR会减弱纤维增强效果，降低材料的不稳定载荷。裂纹起裂韧性的模式I和模式II分量均在CDR为0.45时达到阈值。随着纤维含量和CDR的进一步增加，不稳定断裂逐渐由i型为主过渡到ii型为主。DIC分析表明，当CDR <； 0.60时，钢纤维主要通过抑制等效裂纹张开位移（CODeff）来延缓裂纹扩展；当CDR在0.60 ~ 0.80范围内时，钢纤维通过限制等效裂纹滑动位移（CSDeff）来实现裂纹尖端的能量耗散。通过揭示几何约束与纤维桥接之间的耦合机制，量化了I/II型混合断裂下位移、荷载与裂纹扩展之间的动态关联，为UHPC结构的抗裂设计和性能评价提供了重要的理论支持。

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引用次数: 0

Automating the Hartman-Schijve methodology for predicting interlaminar fatigue crack growth in fibre composites 自动预测纤维复合材料层间疲劳裂纹扩展的Hartman-Schijve方法

IF 5.6 2区工程技术 Q1 ENGINEERING, MECHANICAL

Theoretical and Applied Fracture Mechanics

Pub Date : 2026-04-01 Epub Date: 2026-01-29 DOI: 10.1016/j.tafmec.2026.105487

Ramesh Chandwani , Chris Timbrell , B.R.K. Blackman , Rhys Jones , Anthony J. Kinloch

The Hartman-Schijve methodology offers a direct route to calculating various fatigue crack growth (FCG) rate curves that are associated with delaminations growing in fibre polymer-matrix composites. However, up to the present, only a ‘manual’ method has been described to deduce the values of the Hartman-Schijve constants that are needed for such calculations. Whilst this manual method may give reasonably acceptable results for calculating the Hartman-Schijve constants, it is a difficult and tedious implementation route. Thus, it may, if the operator is inexperienced, give relatively large errors in the values of the key constants that are needed to calculate the FCG rate curves. Furthermore, for very large data sets there is great difficulty incurred in manipulating such a large amount of data using the ‘manual method’.

Therefore, the main aim of the present paper has been to introduce a novel computer model and the associated software, ‘Zencrack: Material Curve Fitting Utility’ from Zentech International Limited, UK, to obtain automatically the Hartman-Schijve constants. The aim has been to deduce the ‘worst-case upper-bound’ FCG curve for small, naturally-occurring, delaminations in the composite material, or component. To achieve such an ‘automatic’ method, the current work (a) has taken previously-published algorithms that employ a ‘Total Least Squares’ method for the fitting process of the experimental input data to the Hartman-Schijve equation and (b) has investigated the effect of a normalising scaling factor. It is shown that an automatic calculation that includes all the input data gives the best representation of the Hartman-Schijve constants and is the recommended approach.

Hartman-Schijve方法为计算纤维聚合物基复合材料中与分层生长相关的各种疲劳裂纹扩展（FCG）速率曲线提供了一种直接途径。然而，到目前为止，只有一种“手工”方法被描述为推导出这种计算所需的哈特曼-希耶夫常数的值。虽然这种手工方法可以给出合理的可接受的计算Hartman-Schijve常数的结果，但它是一个困难和繁琐的实现路线。因此，如果操作人员缺乏经验，计算FCG速率曲线所需的关键常数值可能会出现较大的误差。此外，对于非常大的数据集，使用“手动方法”操作如此大量的数据会产生很大的困难。因此，本文的主要目的是引入一种新的计算机模型和相关软件，“Zencrack: Material Curve Fitting Utility”（来自英国Zentech International Limited），以自动获得Hartman-Schijve常数。目的是推导出复合材料或部件中自然发生的小分层的“最坏情况上限”FCG曲线。为了实现这种“自动”方法，目前的工作(a)采用了先前发表的算法，该算法采用“总最小二乘”方法将实验输入数据拟合到Hartman-Schijve方程，(b)研究了归一化比例因子的影响。结果表明，包含所有输入数据的自动计算是Hartman-Schijve常数的最佳表示，是推荐的方法。

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引用次数: 0

Can the family of equivalent material concept successfully estimate the critical stress of nonlinear materials provided by the theory of critical distances? 由临界距离理论提供的非线性材料的临界应力，等效材料族概念能否成功估计？

IF 5.6 2区工程技术 Q1 ENGINEERING, MECHANICAL

Theoretical and Applied Fracture Mechanics

Pub Date : 2026-04-01 Epub Date: 2026-02-11 DOI: 10.1016/j.tafmec.2026.105500

A.R. Torabi , Sahel Shahbaz , Sobhan Mohammadi

The theory of critical distances (TCD) is one of the most successful and well-accepted approaches in fracture mechanics, which has been applied to diverse category of fracture problems to predict the load-bearing capacity of notched components. This theory needs determining the critical stress of material, which is normally done by means of an experimental calibration performed on at least two distinct notched specimens with different levels of stress concentration. Such a determination also requires the finite element stress analysis of the notched specimens. Overcoming these limitations is the motivation of the present research that aims to show the capability of the equivalent material concept (EMC) family in capturing the critical stress provided by TCD for nonlinear materials, which can be significantly greater than the tensile/compressive strength. In this regard, extensive experimental results already published in open literature are first collected, based on which the equivalent material strength and the critical stress values are numerically calculated using the EMC family and TCD, respectively. Then, the results obtained are systematically compared to evaluate the accuracy and generality of the method. It is revealed that the EMC family can successfully estimate the critical stress for a variety of quasi-brittle and ductile materials using solely the tensile/compressive stress-strain curve without the need to perform finite element simulations and fracture experiments on notched specimens.

临界距离理论（TCD）是断裂力学中最成功和最被广泛接受的方法之一，它已被应用于各种类型的断裂问题，以预测缺口构件的承载能力。该理论需要确定材料的临界应力，这通常是通过在至少两个具有不同应力集中水平的不同缺口试样上进行实验校准来完成的。这样的确定还需要对缺口试件进行有限元应力分析。克服这些限制是本研究的动机，旨在展示等效材料概念（EMC）家族在捕获TCD为非线性材料提供的临界应力方面的能力，该应力可能显著大于拉伸/抗压强度。在这方面，首先收集已经在公开文献中发表的大量实验结果，并在此基础上分别使用EMC族和TCD数值计算等效材料强度和临界应力值。然后，对得到的结果进行了系统的比较，以评价该方法的准确性和通用性。结果表明，EMC家族可以仅使用拉/压应力-应变曲线成功估计各种准脆性和延性材料的临界应力，而无需对缺口试样进行有限元模拟和断裂实验。

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引用次数: 0

An interaction integral for dynamic crack growth analysis in Mindlin-Reissner plates and shells Mindlin-Reissner板壳动态裂纹扩展分析的相互作用积分

IF 5.6 2区工程技术 Q1 ENGINEERING, MECHANICAL

Theoretical and Applied Fracture Mechanics

Pub Date : 2026-04-01 Epub Date: 2026-01-29 DOI: 10.1016/j.tafmec.2026.105458

Seyed Hadi Bayat, Mohammad Bagher Nazari, Masoud Mahdizadeh Rokhi

In this paper, numerical tools needed to dynamic crack growth analysis in Mindlin-Reissner plate and shell structures are developed in the eXtended Finite Element Method (XFEM) framework. An interaction integral with proper auxiliary fields is introduced to extract mixed-mode Stress Intensity Factors (SIFs) for in-plane (membrane) and out-of-plane (bending) loadings for a dynamically moving crack. Besides, some relations are derived to relate the interaction integral and dynamic SIFs. These SIFs are employed to predict the crack growth direction using the maximum circumferential tensile stress criterion. An alternative relation for the crack growth speed in plates and shells is presented. Several numerical examples are presented to evaluate the accuracy of the results in modeling both quasi-static and dynamic crack growth in plates and shells, with comparisons made to available analytical and experimental data.

本文在扩展有限元框架下开发了Mindlin-Reissner板壳结构动态裂纹扩展分析所需的数值工具。引入带适当辅助场的相互作用积分法，提取动态裂纹面内（膜）和面外（弯曲）载荷的混合模态应力强度因子。此外，还推导了相互作用积分与动态SIFs之间的关系。利用最大周向拉应力准则预测裂纹扩展方向。提出了板壳裂纹扩展速度的另一种关系式。给出了几个数值算例，以评估模拟板壳准静态和动态裂纹扩展的结果的准确性，并与现有的分析和实验数据进行了比较。

引用次数: 0

Phase field modeling of combustion-gas induced pressurized fracture within viscoelastic solid propellant grain 黏弹性固体推进剂颗粒内燃气致加压断裂的相场模拟

IF 5.6 2区工程技术 Q1 ENGINEERING, MECHANICAL

Theoretical and Applied Fracture Mechanics

Pub Date : 2026-04-01 Epub Date: 2026-01-15 DOI: 10.1016/j.tafmec.2026.105464

Jiatong Tan , Qun Li , Zhihong Wang , Xianghua Chen , Yingxuan Dong

Solid propellant grain is a vital part of solid rocket motor (SRM), which provides the combustion product gas and serves as the main energy source. However, the defects like voids and cracks could be formed within grain during the manufacture, transportation, and storage. After ignition, combustion gas might penetrate these cracks, causing rapid pressurization and significant pressure buildup within the cavities. Subsequently, the crack evolution not only produces extra burning areas, but also compromises the structural integrity. This work has developed a phase field model of pressurized fracture for the viscoelastic solid propellant crack. Governing equations of physical model together with the discretization were derived firstly. Constitutive equation and phase field model were verified subsequently. Finally, the crack behaviors and failure mechanisms at different pressurization rates and relaxation times have been analyzed. Simulation results revealed that crack propagated along the initial direction with the minimum pressurization rate, and crack tip experienced significant tensile stress. As the pressurization rate increased, crack propagation was initiated and followed by crack branching, while the failure mechanism was tension-controlled. Crack branching occurred earlier with a further increasing of pressurization rate, and crack evolution became dominated by shear failure. Furthermore, decreasing relaxation time advanced the onset of crack propagation and diminished the stress at crack tip. These crack behaviors are consistent with experimental conclusions in the literature, making it possible to implement this model for the engineering analysis.

固体推进剂颗粒是固体火箭发动机的重要组成部分，提供燃烧产物气体，是发动机的主要能量来源。然而，在制造、运输和储存过程中，晶粒内部容易形成空洞和裂纹等缺陷。点火后，燃烧气体可能会穿透这些裂缝，导致腔内快速加压和显著的压力积聚。随后，裂纹的演化不仅会产生额外的燃烧区域，而且会损害结构的完整性。本文建立了粘弹性固体推进剂裂纹受压断裂的相场模型。首先推导了物理模型的控制方程，并进行了离散化处理。随后对本构方程和相场模型进行了验证。最后，分析了不同加压速率和松弛时间下的裂纹行为和破坏机制。模拟结果表明，在最小增压速率下，裂纹沿初始方向扩展，裂纹尖端承受较大的拉应力。随着加压速率的增加，裂纹扩展开始，随后出现裂纹分支，破坏机制为张力控制。随着加压速率的进一步增大，裂纹分支发生的时间提前，裂纹演化以剪切破坏为主。同时，减小弛豫时间有利于裂纹扩展的开始和裂纹尖端应力的减小。这些裂纹行为与文献中的实验结论相吻合，为该模型在工程分析中的应用提供了可能。

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引用次数: 0

Assessing fracture characteristics of high-performance fiber-reinforced concrete using notched flexural specimens 用缺口弯曲试件评估高性能纤维增强混凝土的断裂特性

IF 5.6 2区工程技术 Q1 ENGINEERING, MECHANICAL

Theoretical and Applied Fracture Mechanics

Pub Date : 2026-04-01 Epub Date: 2025-12-31 DOI: 10.1016/j.tafmec.2025.105427

Duy-Liem Nguyen , Tan-Khoa Nguyen , Kha-Ky Lam , Duc-Kien Thai , Ngoc-Thanh Tran

The fracture characteristics of high-performance fiber-reinforced concrete (HPFRC) using notched flexural specimens were assessed under both static and repeated loads. There were three HPFRC mixtures examined: HPFRC0 (without fibers), HPFRC1 (containing 1.0 vol% hooked and 0.5 vol% smooth steel fibers), and HPFRC2 (with 0.5 vol% hooked and 1.0 vol% short steel fibers). All test specimens were rectangular prisms measuring 40 × 40 × 160 mm³. Four notch depths, including 0, 5, 10, and 15 mm, were applied to each mix design. All flexural specimens were rectangular prisms with dimensions of 40 × 40 × 160 mm³. The specimens were evaluated under a three-point bending (3 PB) configuration with a span length of 120 mm. The results indicate that the hardening fracture energy of all HPFRCs decreased with notch depth under static flexural loading. The total fracture energy and length of cohesive zone were greatest at a notch depth of 0 mm for HPFRC0, and at a notch depth of 10 mm for both HPFRC1 and HPFRC2. When subjected to repeated loading, specimens with a 5-mm notch exhibited the highest fatigue energy per cycle across all HPFRC types. Additionally, at a constant fatigue energy per cycle, increasing the notch depth led to a longer fatigue life.

采用缺口抗弯试件对高性能纤维混凝土（HPFRC）在静载荷和重复载荷作用下的断裂特性进行了研究。研究了三种HPFRC混合物：HPFRC0（不含纤维）、HPFRC1（含1.0卷%钩状钢纤维和0.5卷%光滑钢纤维）和HPFRC2（含0.5卷%钩状钢纤维和1.0卷%短钢纤维）。所有试件均为矩形棱镜，尺寸为40 × 40 × 160 mm3。每种混合设计采用4种缺口深度，包括0、5、10和15 mm。所有试件均为矩形棱镜，尺寸为40 × 40 × 160 mm3。试件在跨度为120 mm的三点弯曲（3pb）配置下进行了评估。结果表明：在静态弯曲载荷作用下，所有HPFRCs的硬化断裂能随缺口深度的增加而减小；缺口深度为0 mm时，HPFRC0的总断裂能和黏结区长度最大，缺口深度为10 mm时，HPFRC1和HPFRC2的断裂能和黏结区长度最大。当重复加载时，在所有HPFRC类型中，具有5mm缺口的试件每循环表现出最高的疲劳能量。此外，在一定的循环疲劳能量下，增加缺口深度可以延长疲劳寿命。

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引用次数: 0

Failure modes and energy evolution of jointed rock mass with holes under high temperature and fatigue loading 高温疲劳载荷下节理岩体孔洞破坏模式及能量演化

IF 5.6 2区工程技术 Q1 ENGINEERING, MECHANICAL

Theoretical and Applied Fracture Mechanics

Pub Date : 2026-04-01 Epub Date: 2026-01-02 DOI: 10.1016/j.tafmec.2025.105434

Piaopiao Tan , Fenghua Nie, Zeyue Wang , Yi Tang , Hang Lin

Deep-buried tunnel construction is greatly influenced by high ground stress, temperature, and inevitable joint defects in the surrounding geology. This study investigates the effects of high temperature on the mechanical behavior and failure characteristics of red sandstone with combined far-field joints and horseshoe-shaped holes, simulating deep-buried tunnel conditions. Samples were heat-treated at various high temperature ranges and subjected to uniaxial compression and cyclic loading tests, with simultaneous acoustic emission (AE) and digital image correlation (DIC) monitoring. Results show that peak stress and fatigue failure stress increase then decrease with temperature, peaking at 600 °C, while elastic modulus sharply declines above this temperature. Thermal damage promotes microcrack development and alters deformation stages, increasing compaction and residual strain during fatigue loading, but does not significantly change failure modes. However, thermal damage had little effect on the failure mode of the specimens. The penetration of the rectangular side rock bridge of the hole precedes that of the circular side rock bridge, and both penetrations are located at the arch waist of the hole. Failure is dominated by shear cracks extending from joint tips, guided by far-field joints. Analyzing the energy evolution under fatigue loading, a novel quadratic model is proposed to predict the elastic energy density at failure, outperforming traditional linear models, especially under complex loading cycles. This study offers new insights into the damage evolution of rock masses under high ground stress and temperature conditions, contributing to the improved design and safety of deep-buried tunnel construction.

深埋隧道施工受高地应力、高温度和周围地质中不可避免的节理缺陷的影响较大。模拟深埋隧道条件，研究了高温对远场节理与马蹄形孔洞组合红砂岩力学行为及破坏特征的影响。在不同的高温范围内对样品进行热处理，并进行单轴压缩和循环加载试验，同时进行声发射（AE）和数字图像相关（DIC）监测。结果表明，峰值应力和疲劳破坏应力随温度的升高先增大后减小，在600℃达到峰值，而弹性模量在600℃以上急剧下降。热损伤促进微裂纹发展，改变变形阶段，增加疲劳加载过程中的压实和残余应变，但不显著改变破坏模式。热损伤对试件的破坏模式影响不大。孔内矩形侧岩桥的贯通先于圆形侧岩桥，且均位于孔拱腰处。破坏主要是由远场节理引导的从节理尖端延伸的剪切裂纹。分析了疲劳载荷下的能量演化，提出了一种新的二次模型来预测失效时的弹性能量密度，优于传统的线性模型，特别是在复杂载荷循环下。该研究为高地应力和高温度条件下岩体的损伤演化提供了新的认识，有助于改进深埋隧道施工的设计和安全性。

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引用次数: 0

A peridynamic physics-informed U-net transfer learning framework for progressive crack prediction of fiber reinforced composites 基于动态物理的纤维增强复合材料渐进裂纹预测U-net迁移学习框架

IF 5.6 2区工程技术 Q1 ENGINEERING, MECHANICAL

Theoretical and Applied Fracture Mechanics

Pub Date : 2026-04-01 Epub Date: 2026-01-07 DOI: 10.1016/j.tafmec.2026.105448

Xihong Zhang , Kunpang Kou , Chichiu Lam , Yang Yang

In this paper, a peridynamic physics-informed U-net transfer learning framework is specifically designed for predicting the progressive crack in fiber reinforced composites (FRC). This framework addresses the challenges associated with undefined differentiation at displacement discontinuities that are often encountered in traditional physics-informed neural networks (PINNs). It also tackles the stiffness ill-conditioning that arises from significant differences in material properties between the fiber and the matrix. In the U-net-PINN model, a non-local convolution kernel has been developed based on the non-local characteristics of peridynamics. The introduction of a wavelet activation function further improves the network's convergence efficiency. A specially designed loss function combines the current boundary conditions and the minimum potential energy increment for FRC and fiber bonds derived from bond-based peridynamic with stretch and rotation. By applying the transfer learning technique, the U-net-PINN models are enhanced to predict the crack propagation in the FRC for various fiber directions. Several numerical results demonstrate that the nonlocal U-net-PINN can more accurately identify the crack initiation and propagation in FRC with high accuracy, efficiency, and ease of implementation. Its data-free characteristic enables the nonlocal U-net-PINN framework to predict the crack propagation in FRC, where the traditional numerical method may fall short.

本文针对纤维增强复合材料（FRC）的渐进裂纹预测，设计了一个基于动态物理的U-net迁移学习框架。该框架解决了传统物理信息神经网络（pinn）在位移不连续处经常遇到的未定义微分所带来的挑战。它还解决了由于纤维和基体之间材料特性的显著差异而产生的刚度失调。在U-net-PINN模型中，基于周期动力学的非局部特性，提出了一种非局部卷积核。小波激活函数的引入进一步提高了网络的收敛效率。一个特别设计的损失函数结合了当前边界条件和纤维纤维键的最小势能增量，由基于键的周动力学与拉伸和旋转导出。通过应用迁移学习技术，对U-net-PINN模型进行了改进，以预测纤维纤维纤维中不同方向的裂纹扩展。数值结果表明，非局部U-net-PINN方法能较准确地识别FRC裂纹的萌生和扩展，具有较高的精度、效率和易于实现的特点。它的无数据特性使得非局部U-net-PINN框架能够较好地预测FRC中裂纹的扩展，这是传统数值方法难以实现的。

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引用次数: 0

Modeling crack behavior with a state-based peridynamics approach: a fatigue damage framework incorporating elasto-plastic deformation fields 基于状态动力学方法的裂纹行为建模：含弹塑性变形场的疲劳损伤框架

IF 5.6 2区工程技术 Q1 ENGINEERING, MECHANICAL

Theoretical and Applied Fracture Mechanics

Pub Date : 2026-04-01 Epub Date: 2026-01-15 DOI: 10.1016/j.tafmec.2026.105465

D. Bang , A. Ince

Fatigue crack growth in metallic alloys is strongly influenced by elastic–plastic deformation at the crack tip, which is not fully captured by traditional linear elastic fracture mechanics (LEFM) and existing peridynamics (PD) fatigue models. This study introduces a novel peridynamics (PD) elastic-plastic fatigue damage framework that directly computes crack-tip elastic–plastic stress–strain fields and couples them with a Smith–Watson–Topper (SWT) strain-energy-density driving force. Hencky's plasticity equations, the multiaxial Neuber rule, and a stress-redistribution factor are integrated within the ordinary state-based PD formulation to obtain nonlocal elastic–plastic fields under cyclic loading. The SWT parameter is evaluated at the bond level using these fields to determine the number of cycles to bond failure and to drive crack growth. The proposed framework is verified by comparing PD elastic–plastic stress distributions against finite element (FE) solutions for SAE 1070 steel, and it is validated against experimental crack growth data for 6061-T6, A356-T6, and 7075-T6 aluminum alloys. Across all materials, the model correlates well with the crack growth responses and stress field data near the crack tip with good accuracy by demonstrating that incorporating elastic–plastic strain energy within a state-based PD framework provides a physically consistent and predictive tool for fatigue crack growth analysis. The study shows that incorporating elastic–plastic strain energy within a state-based PD framework provides a physically consistent and predictive tool for fatigue crack growth analysis.

金属合金的疲劳裂纹扩展受裂纹尖端的弹塑性变形的强烈影响，传统的线弹性断裂力学（LEFM）和现有的周动力学（PD）疲劳模型不能完全反映这种影响。本研究提出了一种新的周动力学弹塑性疲劳损伤框架，该框架直接计算裂纹尖端弹塑性应力-应变场，并将其与Smith-Watson-Topper （SWT）应变-能量密度驱动力耦合。将Hencky塑性方程、多轴Neuber规则和应力重分布因子整合到普通的基于状态的PD公式中，得到循环加载下的非局部弹塑性场。SWT参数使用这些字段在键合水平上进行评估，以确定键合失效的循环次数并驱动裂纹扩展。通过将PD弹塑性应力分布与SAE 1070钢的有限元解进行比较，并与6061-T6、A356-T6和7075-T6铝合金的裂纹扩展实验数据进行了验证。在所有材料中，该模型都能很好地与裂纹扩展响应和裂纹尖端附近的应力场数据相关联，并具有很高的准确性，证明了在基于状态的PD框架内结合弹塑性应变能，为疲劳裂纹扩展分析提供了物理上一致的预测工具。研究表明，在基于状态的PD框架中结合弹塑性应变能，为疲劳裂纹扩展分析提供了一种物理上一致的预测工具。

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引用次数: 0