Engineering Fracture Mechanics最新文献_第5页

Estimating the fracture properties of Martian rocks based on microscale rock mechanical experiments and probability model 基于微尺度岩石力学实验和概率模型的火星岩石断裂特性估计

IF 5.3 2区工程技术 Q1 MECHANICS

Engineering Fracture Mechanics

Pub Date : 2026-01-10 DOI: 10.1016/j.engfracmech.2026.111850

Shuohui Yin , Yingjie Wang , Yiheng Zhang , Linling Li , Jinggang Liu , Shuitao Gu

The human space exploration activities on Mars, such as space observation stations and scientific research, etc., need the support of planetary geotechnical theory. Due to the rarity and arbitrary shapes of Martian rock samples, it is difficult to obtain their probability distribution of mechanical properties through the macroscale rock mechanics experiments (macro-RME) with standard samples. In this work, a novel and effective probabilistic method was proposed to estimate the probability distribution of mechanical and fracture properties of Martian rocks through the microscale rock mechanical experiments (micro-RME), probability model and energy-based method combined with the mechanical property correlation. Firstly, the minerals of the NWA12564 Martian meteorite were analyzed through the TESCAN Integrated Mineral Analyzer (TIMA) and grid nanoindentation tests. The optimal probability distribution of fracture toughness (

K_{C}

) was obtained through the Kolmogorov-Smirnov (K-S) test and an energy method. Secondly, the probability distribution of macroscale fracture toughness (

K_{IC}

) was derived by an upscaling method and Monte Carlo simulations (MCS). Thirdly, the probability distributions of tensile strength (

TS

) and unconfined compressive strength (

UCS

) were estimated by the mechanical property correlations with the macroscale fracture toughness

K_{IC}

. The research also indicated that, while the macroscale mechanical and fracture properties of Martian rocks follow a lognormal distribution, the microscopic fracture toughness of the five minerals may follow distinct probability distributions. The proposed method enables the estimation of the probability distribution of mechanical and fracture properties with arbitrarily shaped and sized Martian rocks, and the obtained properties provide support to the future Mars exploration.

人类在火星上的空间探索活动，如空间观测站和科学研究等，都需要行星岩土理论的支持。由于火星岩石样品的稀有性和任意形状，用标准样品进行宏观岩石力学实验（macro-RME），很难获得其力学性质的概率分布。通过微观岩石力学实验（micro-RME）、概率模型和基于能量的方法，结合力学性质相关性，提出了一种估算火星岩石力学和断裂性质概率分布的新颖有效的概率方法。首先，通过TESCAN集成矿物分析仪（TIMA）和网格纳米压痕测试对NWA12564火星陨石的矿物进行了分析。通过Kolmogorov-Smirnov （K-S）试验和能量法得到断裂韧性（KC）的最佳概率分布。其次，采用上标方法和蒙特卡罗模拟（MCS），推导了宏观断裂韧性（KIC）的概率分布。第三，通过力学性能与宏观断裂韧性KIC的相关关系，估计了抗拉强度和无侧限抗压强度的概率分布。研究还表明，火星岩石的宏观力学和断裂性质服从对数正态分布，而五种矿物的微观断裂韧性可能服从不同的概率分布。该方法能够估计任意形状和大小的火星岩石的力学和断裂性质的概率分布，为未来的火星探测提供支持。

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引用次数: 0

Enhanced cellulose paper interfaces with MWCNT/Graphene for improved structural health monitoring and mechanical performance in CARALL 增强纤维素纸与MWCNT/石墨烯的界面，以改善CARALL的结构健康监测和机械性能

IF 5.3 2区工程技术 Q1 MECHANICS

Engineering Fracture Mechanics

Pub Date : 2026-01-10 DOI: 10.1016/j.engfracmech.2026.111857

Tugay Üstün , Ebru Saraloğlu Güler , Volkan Eskizeybek

Carbon fiber reinforced aluminum laminates (CARALL) suffer from weak metal–composite interfaces and the lack of built-in damage sensing. Here, cellulose paper interleaves loaded with hybrid multi-walled carbon nanotubes (CNTs) and graphene (5–9 wt% at 160 or 210 g/m²) are fabricated by conventional papermaking and inserted at the Al/CFRP interface. CARALL panels were produced via hand lay-up and vacuum bagging and evaluated under tensile, three-point flexural, and Mode-I fracture tests, with damage events monitored in situ through piezoresistive electrical resistance measurements (ΔR/R). The 210 g/m² paper with 9 wt% hybrid nanofiller maintains baseline tensile strength and yields up to ∼ 20 % higher flexural strength versus unreinforced CARALL, while interlaminar fracture toughness increases during both initiation and propagation. Microscopic observations reveal fiber bridging/pull-out and crack deflection within the paper interlayer, while the formation of a percolated CNT/graphene network enables clear piezoresistive responses. Abrupt ΔR/R jumps were observed at final failure under tensile loading (approximately twofold), whereas event-correlated ΔR/R fluctuations were recorded during flexural and Mode-I fracture tests (typically in the range of ∼ 0.25–2 during flexure and − 0.5 to + 0.5 during double cantilever beam tests). The results demonstrate that lightweight, low-cost cellulose-nanocarbon interleaves simultaneously toughen CARALL and provide integrated structural health monitoring capability.

碳纤维增强铝层压板（CARALL）存在金属复合界面薄弱和缺乏内置损伤传感的问题。通过传统的造纸工艺，将纤维素纸与混合多壁碳纳米管（CNTs）和石墨烯（5-9 wt%， 160或210 g/m2）交织在一起，并插入Al/CFRP界面。CARALL面板通过手工铺层和真空装袋生产，并在拉伸、三点弯曲和i型断裂测试下进行评估，并通过压阻电阻测量（ΔR/R）现场监测损伤事件。210 g/m2的混合纳米填料与未增强的CARALL相比，可保持基线抗拉强度，并产生高达20%的抗弯强度，而在起始和扩展过程中，层间断裂韧性均有所增加。微观观察显示，纸张夹层内的纤维桥接/拉出和裂纹偏转，而碳纳米管/石墨烯网络的渗透形成实现了清晰的压阻响应。在拉伸载荷下的最终破坏时，观察到突然的ΔR/R跳变（大约两倍），而在弯曲和i型断裂试验期间，记录到事件相关的ΔR/R波动（通常在弯曲期间为- 0.25-2范围内，在双悬臂梁试验期间为- 0.5至+ 0.5）。结果表明，轻质、低成本的纤维素-纳米碳交织材料同时增强了CARALL的韧性，并提供了集成的结构健康监测能力。

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引用次数: 0

A novel boundary displacement decomposition method for stress intensity factor calculation in 2D inclined crack 一种计算二维倾斜裂纹应力强度因子的边界位移分解方法

IF 5.3 2区工程技术 Q1 MECHANICS

Engineering Fracture Mechanics

Pub Date : 2026-01-10 DOI: 10.1016/j.engfracmech.2026.111859

Sanshao Zhuang , Tao Hu , Junfeng Zhang , Wenqing Zheng , Miaolin Feng

For a 2D inclined crack, a novel boundary displacement decomposition method based on the submodel technique and using circular harmonic (CH) as basis functions is proposed to calculate the stress intensity factor (SIF). This method computes the SIF by linearly superimposing the precomputed SIF values of the basis functions and the decomposition coefficients of the submodel boundary displacement, which are obtained from finite element analysis (FEA). The approach circumvents the computationally intensive task of generating crack meshes in the global model during analysis. Specifically, CH functions are employed as the basis functions for submodel boundary displacement decomposition. A dimensionless stress intensity factor (s-SIF) is derived, and a workflow based on FEA is established for the precomputation of the s-SIFs of the basis functions. The s-SIFs for the first eight orders of the CH basis functions are precomputed. Finally, the relationship between the SIF prediction accuracy and the submodel domain size is examined, and a numerical example from NASGRO is used to validate the proposed method.

针对二维倾斜裂纹，提出了一种基于子模型技术、以圆谐波为基函数的边界位移分解方法来计算应力强度因子。该方法通过将有限元分析得到的基函数和子模型边界位移分解系数的预先计算的SIF值线性叠加来计算SIF。该方法避免了在分析过程中在全局模型中生成裂纹网格的计算量大的任务。具体而言，采用CH函数作为子模型边界位移分解的基函数。推导了无量纲应力强度因子，建立了基于有限元分析的无量纲应力强度因子预计算流程。CH基函数的前八阶s- sif是预先计算的。最后，分析了SIF预测精度与子模型域大小之间的关系，并用NASGRO的一个数值算例验证了该方法的有效性。

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引用次数: 0

Dynamic compressive behavior and constitutive parameters of chemically strengthened aluminosilicate glass 化学强化铝硅酸盐玻璃的动态压缩性能及本构参数

IF 5.3 2区工程技术 Q1 MECHANICS

Engineering Fracture Mechanics

Pub Date : 2026-01-10 DOI: 10.1016/j.engfracmech.2026.111844

Ruimin Yang, Jing Ling, Xingya Su, Lin Jing

Quasi-static and dynamic compressive mechanical experiments of chemically strengthened aluminosilicate glass (CSAG) were conducted, using an electronic universal testing machine and a split Hopkinson pressure bar (SHPB) apparatus over a wide strain rate range of 0.0001 s⁻¹ to 1700 s⁻¹. Parallel to these, plate impact experiments were performed using a single-stage light gas gun to determine the material’s Equation of State (EOS) under high-pressure shock compression. For the quasi-static and SHPB tests, the failure processes were captured using high-speed photography to understand macroscopic failure mechanisms; additionally, post-test fragments were analyzed via scanning electron microscopy (SEM) and statistical methods to characterize fragment size distribution and micro-crack morphology under various strain rates. Finally, the Johnson-Holmquist (JH-2) constitutive parameters of the CSAG were then calibrated by integrating the EOS derived from plate impact data with the strength and damage characteristics obtained from the compressive tests. Numerical simulations were conducted to validate the accuracy of determined model parameters. The experimental results show that CSAG exhibits significant brittle fracture characteristics with strain-rate sensitivity in compressive strength. The fracture mechanism transforms from the flaw-dominated single-crack growth under quasi-static loading to a multiple-cracking phenomenon under dynamic loading. In both regimes, cracks propagate along the loading direction, with final explosive fragmentation caused by their coalescence under transverse tensile stresses. The distribution of fragment sizes provides a quantitative characterization of this shift in fracture mechanisms: a non-linear relationship between mass ratio and fragment size is observed under quasi-static loading, whereas dynamic loading (1100 s⁻¹ and 1700 s⁻¹) yields a distinctly linear correlation, where the mass ratio increases as fragment size decreases. This transition reflects the intensified fragmentation and rapid energy dissipation induced by high strain rates. The plate impact experimental data provides the essential pressure–volume relationship for the JH-2 model. The numerical simulations show good agreement with experimental observations, confirming that the calibrated model accurately.

在0.0001 s−1 ~ 1700 s−1的应变速率范围内，利用电子万能试验机和霍普金森压杆（SHPB）装置对化学强化铝硅酸盐玻璃（CSAG）进行了准静态和动态压缩力学实验。与此同时，使用单级光气枪进行板冲击实验，以确定高压冲击压缩下材料的状态方程（EOS）。在准静态和SHPB试验中，采用高速摄影捕捉破坏过程，了解宏观破坏机制；此外，通过扫描电子显微镜（SEM）和统计学方法对测试后的碎片进行分析，表征不同应变速率下的碎片尺寸分布和微裂纹形貌。最后，通过整合从板冲击数据中获得的EOS与从压缩试验中获得的强度和损伤特征，对CSAG的Johnson-Holmquist （JH-2）本构参数进行校准。通过数值模拟验证了模型参数的准确性。试验结果表明，CSAG具有明显的脆性断裂特征，对抗压强度具有应变率敏感性。断裂机制由准静态加载下以缺陷为主的单裂纹扩展转变为动态加载下的多裂纹扩展。在这两种情况下，裂纹沿加载方向扩展，在横向拉应力作用下，裂纹聚并导致最终爆炸破碎。碎片大小的分布为这种断裂机制的转变提供了定量表征：准静态加载下，质量比和碎片大小之间呈非线性关系，而动态加载（1100 s−1和1700 s−1）产生明显的线性相关性，其中质量比随着碎片大小的减小而增加。这种转变反映了高应变率引起的破碎加剧和能量快速耗散。平板撞击实验数据为JH-2模型提供了必要的压力-体积关系。数值模拟结果与实验结果吻合较好，证实了标定模型的准确性。

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引用次数: 0

Mechanical properties and damage evolution of fissured sandstone under cyclic gradient loading with an increasing lower stress limit 应力下限值增大的循环梯度加载下裂隙砂岩力学性能及损伤演化

IF 5.3 2区工程技术 Q1 MECHANICS

Engineering Fracture Mechanics

Pub Date : 2026-01-07 DOI: 10.1016/j.engfracmech.2026.111839

Yunqiang Wang , Kang Peng , Zhenyu Wang , Yushuai Zhang , Yang Wu , Chunhai Li

Rock masses subjected to repeated geological processes commonly contain structural planes, such as joints and cracks. Under disturbance loads such as blasting excavation or mechanical drilling, the mechanical properties of fissured rock degrade to varying degrees, ultimately leading to instability and failure of the engineering. Based on this, cyclic gradient loading tests with an increasing lower stress limit were conducted on sandstone samples with cracks at different angles using the MTS 815 rock mechanics testing system and the PCI-2 acoustic emission (AE) instrument. The study investigated the mechanical properties, acoustic emission characteristics, and the evolution of damage variables in fissured sandstone under complex stress conditions. The results show that, during cyclic gradient loading with an increasing lower stress limit, the stress–strain behavior of fissured sandstone is closely related to its deformation characteristics and exhibits a distinct step-like pattern. In the loading stages near failure, internal microcracks rapidly propagate, leading to significant deformation of the fissured sandstone. The stress–strain curve displays a clear “sparse-intensive-sparse” characteristic. The crack angle has a significant influence on the peak stress, exhibiting a clear linear relationship between the two. With an increase in the crack angle, the failure mode of fissured sandstone shifts from predominantly tensile-shear cracking to shear cracking, and eventually to interlayer shear failure. AE count rate and AE energy rate effectively reflect the development of internal damage in fissured rock. Both parameters show a significant increase during the first cycle of each loading stage and in the cycles approaching failure. Analysis of the RA-AF characteristic parameters indicates that, with increasing crack angle, the proportion of shear cracks in the failure mode of fissured sandstone increases. This trend is generally consistent with the macroscopic crack coalescence patterns observed in the samples. A damage variable was defined based on dissipated energy density, and its evolution law was established. The service life of fissured sandstone was also predicted, with all prediction results showing a confidence level above 93%, providing a valuable reference for the life prediction of fissured sandstone under cyclic gradient loading.

经过反复地质作用的岩体通常包含结构面，如节理和裂缝。在爆破开挖或机械钻孔等扰动荷载作用下，裂隙岩体的力学性能会发生不同程度的退化，最终导致工程失稳和破坏。在此基础上，利用MTS 815岩石力学测试系统和PCI-2声发射（AE）仪，对不同角度裂缝的砂岩试样进行了应力下限递增的循环梯度加载试验。研究了复杂应力条件下裂隙砂岩的力学特性、声发射特征及损伤变量演化规律。结果表明：在应力下限不断增大的循环梯度加载过程中，裂隙砂岩的应力-应变行为与其变形特征密切相关，呈现出明显的阶梯状模式；在接近破坏的加载阶段，内部微裂纹迅速扩展，导致裂隙砂岩发生显著变形。应力-应变曲线表现出明显的“稀疏-密集-稀疏”特征。裂纹角度对峰值应力有显著影响，两者呈明显的线性关系。随着裂隙角度的增大，裂隙砂岩的破坏模式由主要的拉剪破坏向剪切破坏转变，最终向层间剪切破坏转变。声发射计数率和声发射能率能有效反映裂隙岩石内部损伤的发展情况。在每个加载阶段的第一个循环和接近破坏的循环中，这两个参数都有显著的增加。对RA-AF特征参数的分析表明，随着裂缝角度的增大，剪切裂缝在裂隙砂岩破坏模式中所占比例增大。这一趋势与试样中观察到的宏观裂纹合并模式基本一致。定义了基于耗散能量密度的损伤变量，并建立了其演化规律。对裂隙砂岩的寿命进行了预测，预测结果置信度均在93%以上，为循环梯度荷载作用下裂隙砂岩的寿命预测提供了有价值的参考。

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引用次数: 0

A symplectic analytical method for fracture analysis of hydrogels under chemo-mechanical coupled loading 化学-力学耦合载荷作用下水凝胶断裂分析的辛分析方法

IF 5.3 2区工程技术 Q1 MECHANICS

Engineering Fracture Mechanics

Pub Date : 2026-01-07 DOI: 10.1016/j.engfracmech.2026.111847

Chenghui Xu , Tianle Meng , Zichen Deng , Tao Wu

This study presents a Hamiltonian-based symplectic methodology for investigating swelling-induced fracture in hydrogels caused by water absorption. A constitutive model for hydrogels, incorporating chemical coupling effects, is established through perturbation analysis rooted in a physically rigorous theoretical framework. Within the Hamiltonian system, the dual equation governing plane fracture in hydrogels is directly solved using the method of separation of variables. Analytical expressions for the generalized stress/displacement fields are explicitly derived based on eigenvalues and eigensolutions, thereby obviating the need for trial functions. Moreover, critical fracture parameters (including stress intensity factors (SIFs) and J-integral), as well as the crack initiation angle are accurately quantified. Finally, the influence of chemical potential on these fracture parameters and initiation angle is systematically examined. These findings offer a robust theoretical basis for the practical engineering applications of hydrogel materials.

本研究提出了一种基于哈密顿的辛方法，用于研究水凝胶中由吸水引起的膨胀性裂缝。基于严谨的物理理论框架，通过微扰分析，建立了考虑化学偶联效应的水凝胶本构模型。在哈密顿系统中，采用分离变量法直接求解了控制水凝胶平面破裂的对偶方程。广义应力场/位移场的解析表达式是基于特征值和特征解明确导出的，从而避免了对试函数的需要。对临界断裂参数（包括应力强度因子（SIFs）和j积分）以及裂纹起裂角进行了精确量化。最后，系统考察了化学势对这些裂缝参数和起裂角的影响。这些发现为水凝胶材料的实际工程应用提供了坚实的理论基础。

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引用次数: 0

An analytic interpretation of the new EN1993-1-10 standard 新EN1993-1-10标准的解析解释

IF 5.3 2区工程技术 Q1 MECHANICS

Engineering Fracture Mechanics

Pub Date : 2026-01-06 DOI: 10.1016/j.engfracmech.2025.111822

Kim Wallin

The second-generation Eurocode EN1993-1-10 which covers design of steel structures with respect to brittle fracture includes two tables giving the maximum allowable thickness depending on design temperature, level of stress and steel grade and class. Table 4.2 is developed for fatigue loaded details whereas Table 4.3 is developed for statically loaded details and Here, the tables in EN1993-1-10 are expressed in a simple analytical form which simplifies and enhances the use of the tables. Furthermore, a new fatigue cycle adjustment to the tables is developed. This extends the use of EN1993-1-10 to a large variety of loading cases, without conflicting with the safety level built into the standard.

第二代欧洲规范EN1993-1-10涵盖了钢结构的脆性断裂设计，包括两个表，根据设计温度，应力水平和钢等级和等级给出了最大允许厚度。表4.2是针对疲劳载荷细节制定的，而表4.3是针对静载荷细节制定的。在这里，EN1993-1-10中的表格以简单的解析形式表示，从而简化和增强了表格的使用。此外，还提出了一种新的疲劳周期调整方法。这将EN1993-1-10的使用扩展到各种各样的加载情况，而不会与标准中内置的安全级别相冲突。

引用次数: 0

Numerical simulation of sulfate-eroded concrete structure based on a coupled chemical-transport-mechanical phase-field model 基于化学-输运-力学相场耦合模型的硫酸盐侵蚀混凝土结构数值模拟

IF 5.3 2区工程技术 Q1 MECHANICS

Engineering Fracture Mechanics

Pub Date : 2026-01-06 DOI: 10.1016/j.engfracmech.2026.111843

Jie Luo , Qiao Wang , Wei Zhou , Xiaolin Chang , Qiang Yue , Zhangzhen Peng , Chuqiao Feng , Anli Wang

Sulfate-induced cracking shortens the service life of concrete structures. Numerical modeling is a valuable tool for investigating the degradation process. Most previous models can assess the damage extent, but struggle to predict cracking induced by erosion. This study proposes a coupled chemical-transport-mechanical phase-field model to effectively simulate the cracking process of sulfate-eroded concrete. The diffusion–reaction process is modeled based on transport law and reaction kinetics. A simplified kinetic equation is employed to describe the calcium leaching phenomenon. By employing the phase-field model, discrete erosion cracks are converted into regularized cracks, enabling easy coupling of the cracking process with the diffusion–reaction process. The cracking driving force in the phase-field model is calculated by the expansion strain, which is derived by solving the diffusion–reaction model. A new piecewise function is used to describe the influence of cracks and pores on ion transport, achieving bidirectional coupling between the cracking and transport processes. By solving the phase-field equations, complex erosion cracks can be automatically predicted. The calculation results align well with experimental data and can reproduce the transverse cracks observed in the erosion-expansion experiment. Compared to other models, the proposed model achieves more accurate results with a larger residual error. Furthermore, the deterioration of concrete column corners under various factors is simulated, and the significance of different factors and their interactions is analyzed, providing new insights for enhancing the durability of concrete structures in sulfate environments.

硫酸盐引起的裂缝缩短了混凝土结构的使用寿命。数值模拟是研究退化过程的一种有价值的工具。大多数以前的模型可以评估损伤程度，但很难预测由侵蚀引起的开裂。为了有效地模拟硫酸盐侵蚀混凝土的开裂过程，提出了化学-输运-力学相场耦合模型。根据输运定律和反应动力学对扩散反应过程进行了建模。采用简化的动力学方程来描述钙浸出现象。采用相场模型将离散侵蚀裂纹转化为正则化裂纹，使裂纹过程与扩散反应过程容易耦合。在相场模型中，裂纹驱动力是通过求解扩散反应模型得到的膨胀应变来计算的。采用一种新的分段函数来描述裂纹和孔隙对离子输运的影响，实现了裂纹和输运过程的双向耦合。通过求解相场方程，可以实现复杂侵蚀裂纹的自动预测。计算结果与试验数据吻合较好，能较好地再现侵蚀膨胀试验中观察到的横向裂纹。与其他模型相比，该模型在残差较大的情况下获得了更准确的结果。模拟了不同因素下混凝土柱角的劣化过程，分析了不同因素及其相互作用的意义，为提高硫酸盐环境下混凝土结构的耐久性提供了新的见解。

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引用次数: 0

Phase-field fracture modeling of piezoelectric solids with a novel crack driving force incorporating an intrinsic material parameter 基于材料本征参数的新型裂纹驱动力的压电固体相场断裂建模

IF 5.3 2区工程技术 Q1 MECHANICS

Engineering Fracture Mechanics

Pub Date : 2026-01-05 DOI: 10.1016/j.engfracmech.2026.111842

Xin Li , Shihao Lv , Chuwei Zhou , Chen Xing , Umberto Perego

Fracture failure is an essential concern on the design, manufacture and utilization of piezoelectric functional materials. Both traditional piezoelectric ceramics and new flexible piezoelectric materials demand objective modeling of fracture under the coupled action of electric and mechanical fields. Currently, the widely developed electromechanical fracture phase-field model (EM-PFM), which employs the mechanical energy release rate as the crack driving force, cannot sensibly predict some of the classical experimental reports. In this work, the necessity of the mechanical energy release rate as the fracture criterion is revised based on a semi-analytical demonstration on the EM-PFM, and a new crack driving force formulation is proposed. More specifically, the new crack driving force consists of the mechanical energy release rate contributed from the effective stress and a part of the electro-mechanical coupled energy release rate, where the transformation rate of the latter is controlled by an intrinsic material parameter. The proposed EM-PFM is numerically implemented in a multi-field finite element framework in the commercial software ABAQUS via a user element subroutine. A representative one-dimensional ideal numerical test demonstrates the rationality of the present model. Most importantly, for the first time, we achieved numerical reproduction of Park and Sun’s classical experiments in the EM-PFM without changing any piezoelectric coefficients. The present work contributes to a better understanding of piezoelectric materials and is beneficial in predicting the fracture of piezoelectric materials realistically.

断裂破坏是压电功能材料设计、制造和使用中必须关注的问题。传统的压电陶瓷和新型柔性压电材料都需要对电场和机械耦合作用下的断裂进行客观的建模。目前，广泛发展的机电断裂相场模型（EM-PFM），以机械能释放率作为裂纹驱动力，不能很好地预测一些经典的实验报告。本文在EM-PFM半解析论证的基础上，修正了以机械能释放率作为断裂判据的必要性，提出了新的裂纹驱动力公式。更具体地说，新的裂纹驱动力由有效应力贡献的机械能释放率和一部分机电耦合能释放率组成，其中机电耦合能释放率的转化速率由材料的固有参数控制。在商业软件ABAQUS的多域有限元框架中，通过用户单元子程序对所提出的EM-PFM进行了数值实现。一个具有代表性的一维理想数值试验验证了该模型的合理性。最重要的是，我们首次在不改变任何压电系数的情况下，在EM-PFM中实现了Park和Sun的经典实验的数值再现。本文的工作有助于加深对压电材料的认识，有助于对压电材料的断裂进行现实的预测。

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引用次数: 0

Dynamic response behavior and damage evolution mechanism of additively manufactured porous structures of composites under high strain rates 高应变率下复合材料增材多孔结构的动态响应行为及损伤演化机制

IF 5.3 2区工程技术 Q1 MECHANICS

Engineering Fracture Mechanics

Pub Date : 2026-01-05 DOI: 10.1016/j.engfracmech.2026.111840

Xuanming Cai , Penglei Wang , Yang Hou , Zhiyong Wang , Wei Zhang , Zhongcheng Mu , Anxiao Guo , Linzhuang Han , Yunhao Yang , Yalin He , Bin Liu , Wenbo Xie

Short fiber-reinforced polymer-matrix composites (SFRPC), renowned for high specific strength, are widely employed in high strain-rate structures. Elucidating their dynamic response and failure mechanisms under high strain-rate loading is crucial for safety design and performance optimization. A three-dimensional multiscale constitutive model and failure criterion for SFRPC were developed using micro–macro mechanics, whose validity was verified by comparing quasi-static uniaxial tensile simulations of representative volume element (RVE) cells with experimental results at the macroscopic level. The RVE model extracted effective elastic constants under various loadings, acting as key dynamic parameters for high strain-rate simulations. Three types of SFRPC porous structures with different volume fractions were designed via triply periodic minimal surface (TPMS) equations and fabricated into specimens by 3D printing. Multiscale simulations and high strain-rate impact experiments investigated the dynamic response and damage evolution. Results show that the SFRPC structures exhibit strain-rate sensitivity under dynamic loading, with dynamic strength rising as strain rate increases. At similar strain rates, peak stress, specific energy absorption (SEA), and energy absorption efficiency (EAE) rise with higher volume fractions. SEA and EAE both increase with the strain rate, with EAE of higher volume fraction structures more influenced by strain rate effects. Microscopic damage analysis showed volume fraction strongly affects shear failure: 25 % and 35 % fractions show dominant fiber pull-out, while 45 % shows brittle fracture and plastic deformation. Multiscale simulations reproduced experimental damage patterns, and their multi-directional modes clarify internal damage evolution under high strain rate conditions.

短纤维增强聚合物基复合材料（SFRPC）以其高比强度而闻名，广泛应用于高应变率结构。阐明其在高应变率载荷下的动态响应和破坏机制对其安全设计和性能优化至关重要。采用微宏观力学方法建立了SFRPC的三维多尺度本构模型和破坏准则，并通过比较具有代表性的体积单元（RVE）单元的准静态单轴拉伸模拟与宏观水平的试验结果，验证了其有效性。RVE模型提取了不同载荷下的有效弹性常数，作为高应变率模拟的关键动力学参数。利用三周期最小表面（TPMS）方程设计了三种不同体积分数的SFRPC多孔结构，并通过3D打印将其制作成试样。多尺度模拟和高应变率冲击试验研究了其动态响应和损伤演化规律。结果表明：钢纤维混凝土结构在动荷载作用下表现出应变率敏感性，动强度随应变率的增大而增大；在相同应变速率下，峰值应力、比能吸收（SEA）和能量吸收效率（EAE）随体积分数的增加而增加。SEA和EAE均随应变速率的增大而增大，且体积分数越高的EAE受应变速率效应的影响越大。细观损伤分析表明，体积分数对剪切破坏影响较大，25%和35%的体积分数以纤维拔出为主，45%的体积分数以脆性断裂和塑性变形为主。多尺度模拟再现了实验损伤模式，其多向模式阐明了高应变速率条件下内部损伤的演化规律。

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