今日更新:International Journal of Solids and Structures 1 篇,Journal of the Mechanics and Physics of Solids 1 篇,Mechanics of Materials 1 篇,Thin-Walled Structures 3 篇
Ductile damage analysis under extreme low-cycle biaxial shear loadings: Experiments and simulations
Zhichao Wei, Marleen Harting, Steffen Gerke, Michael Brünig
doi:10.1016/j.ijsolstr.2025.113292
极低循环双轴剪切载荷下的延性损伤分析:实验与模拟
This paper addresses the experimental and numerical analysis of ductile damage under extremely low-cycle loading conditions with a large strain range. Shear cyclic loading stress states with stress triaxiality of approximately zero are generated using the biaxially loaded cruciform X0-specimen, with equal positive and negative forces applied to different loading axes. Monotonic and various symmetric cyclic loading patterns are designed to investigate the influence of loading histories on the material response at both macro- and micro-levels. The numerical calculations are performed using a novel anisotropic continuum damage model. For plasticity, the hydrostatic sensitivity Drucker–Prager yield condition with combined hardening is used to characterize the isotropic plastic behavior. Additionally, an anisotropic damage strain tensor that considers stress state influences is used to predict the occurrence and development of damage. Digital image correlation (DIC) technique and scanning electron microscopy (SEM) technique enable comparison of experimental and numerical results in different aspects. The numerical results for load–displacement curves, total strain field, and damage strains agree well with the experimental data, as confirmed by quantitative error analysis in load–displacement curves and statistical analysis of SEM images.
本文对大应变范围下极低周次加载条件下的延性损伤进行了试验和数值分析。利用双轴加载的十字形x0试样,在不同的加载轴上施加相等的正负力,产生应力三轴性近似为零的剪切循环加载应力状态。设计了单调和各种对称循环加载模式,以研究加载历史在宏观和微观水平上对材料响应的影响。采用一种新颖的各向异性连续损伤模型进行了数值计算。塑性方面,采用复合硬化的流体静力敏感性Drucker-Prager屈服条件来表征各向同性塑性行为。此外,采用考虑应力状态影响的各向异性损伤应变张量来预测损伤的发生和发展。数字图像相关(DIC)技术和扫描电子显微镜(SEM)技术可以在不同方面对实验结果和数值结果进行比较。载荷-位移曲线的定量误差分析和SEM图像的统计分析证实了载荷-位移曲线、总应变场和损伤应变的数值计算结果与实验数据吻合较好。
Accretion and ablation in deformable solids using an Eulerian formulation: A finite deformation numerical method
S. Kiana Naghibzadeh, Anthony Rollett, Noel Walkington, Kaushik Dayal
doi:10.1016/j.jmps.2025.106076
用欧拉公式计算可变形固体中的吸积和烧蚀:一种有限变形数值方法
Surface growth, i.e., the addition or removal of mass from the boundary of a solid body, occurs in a wide range of processes, including the growth of biological tissues, solidification and melting, and additive manufacturing. To understand nonlinear phenomena such as failure and morphological instabilities in these systems, accurate numerical models are required to study the interaction between mass addition and stress in complex geometrical and physical settings. Despite recent progress in the formulation of models of surface growth of deformable solids, current numerical approaches require several simplifying assumptions. This work formulates a method that couples an Eulerian surface growth description to a phase-field approach. It further develops a finite element implementation to solve the model numerically using a fixed computational domain with a fixed discretization. This approach bypasses the challenges that arise in a Lagrangian approach, such as having to construct a four-dimensional reference configuration, remeshing, and/or changing the computational domain over the course of the numerical solution. It also enables the modeling of several settings — such as non-normal growth of biological tissues and stress-induced growth — which can be challenging for available methods. The numerical approach is demonstrated on a model problem that shows non-normal growth, wherein growth occurs by the motion of the surface in a direction that is not parallel to the normal of the surface, that can occur in hard biological tissues such as nails, horns, etc. Next, a thermomechanical model is formulated and used to investigate the kinetics of freezing and melting in ice under complex stress states, particularly to capture regelation which is a key process in frost heave and basal slip in glaciers.
表面生长,即从固体边界增加或减少质量,发生在广泛的过程中,包括生物组织的生长,凝固和熔化,以及增材制造。为了理解这些系统中的非线性现象,如破坏和形态不稳定,需要精确的数值模型来研究复杂几何和物理环境下质量添加和应力之间的相互作用。尽管最近在可变形固体表面生长模型的制定方面取得了进展,但目前的数值方法需要几个简化的假设。本文提出了一种将欧拉表面生长描述与相场方法相结合的方法。进一步发展了一种有限元实现方法,利用固定的计算域和固定的离散化对模型进行数值求解。这种方法绕过了拉格朗日方法中出现的挑战,例如必须构建四维参考配置,重新划分网格和/或在数值解决过程中改变计算域。它还可以对几种环境进行建模——例如生物组织的非正常生长和应力诱导生长——这对于现有的方法来说是具有挑战性的。数值方法在一个显示非正常生长的模型问题上得到了证明,其中生长是通过表面在与表面法线不平行的方向上的运动而发生的,这种情况可能发生在坚硬的生物组织中,如指甲、角等。其次,建立了一个热力学模型,并用于研究复杂应力状态下冰的冻结和融化动力学,特别是捕捉冰川冻胀和基底滑动的关键过程。
Predicting multiple fatigue properties of twinning-induced plasticity steels by black-box and white-box machine learning
Ronghai Wu, Yuxin Zhang, Zichao Peng, Di Song, Heng Li
doi:10.1016/j.mechmat.2025.105307
利用黑盒和白盒机器学习预测孪生诱发塑性钢的多重疲劳性能
Predicting multiple fatigue properties of metals under a wide range of conditions is still a challenge, as massive high-dimension inputs and multiple outputs are involved. We systematically conduct fatigue experiments on TWIP steel under various conditions, including different preloading methods, temperatures, strain amplitudes and mean strains. Using experimental data, we propose both black-box and white-box machine learning models to predict the fatigue performance of TWIP steel. The black-box model employs dimensionality reduction, clustering and regression techniques to achieve simultaneous predictions for fatigue life and maximum stress amplitude. The predicted fatigue lives are 100% within 3✕ error band and 88.31% within 2✕ error band. The predicted maximum stress amplitudes are all within 1.51✕ error band. The white-box model utilizes symbolic regression and matching analysis to automatically discover several predictive formulas for fatigue life and maximum stress amplitude, without any predefined equations. The three optimal fatigue life prediction formulas yield 100% predicted values within 3✕ error band and 98% within 2✕ error band. The two optimal maximum stress amplitude prediction formulas yield predicted values all within 1.09✕ error band. Based on the results, we discuss the applicability of our models and propose suggestions for future developments in machine learning fatigue performance predictions.
由于涉及大量的高维输入和多个输出,预测金属在大范围条件下的多重疲劳特性仍然是一个挑战。系统地对TWIP钢进行了不同预紧方式、温度、应变幅值、平均应变等条件下的疲劳试验。利用实验数据,我们提出了黑盒和白盒机器学习模型来预测TWIP钢的疲劳性能。黑盒模型采用降维、聚类和回归技术来实现对疲劳寿命和最大应力幅的同时预测。预测的疲劳寿命在3✕误差范围内为100%,在2✕误差范围内为88.31%。预测的最大应力幅值都在1.51✕误差范围内。白盒模型利用符号回归和匹配分析,自动发现疲劳寿命和最大应力幅的预测公式,不需要任何预定义方程。三个最佳疲劳寿命预测公式在3✕误差范围内产生100%的预测值,在2✕误差范围内产生98%的预测值。两个最优最大应力幅预测公式产生的预测值都在1.09✕误差范围内。基于结果,我们讨论了模型的适用性,并对机器学习疲劳性能预测的未来发展提出了建议。
Similarity studies of acoustic radiation in different media induced by mechanical excitations inside a single-layer cylindrical shell
Yiming Zhang, Qiuchen Ma, Zhaodong Lin, Yu Xia, Wei Yu, Mangong Zhang, Zhigao Zhao, Hong Chen, Lili Wu, Aiguo Zhao
doi:10.1016/j.tws.2025.113102
单层圆柱壳内机械激励下不同介质声辐射的相似性研究
This paper investigated the similarities in vibration and acoustic radiation characteristics of single-layer cylindrical shells subjected to mechanical excitations in different media. Based on acoustic similarity principle, the dimensionless coefficients under the condition of equal similarity numbers were derived using the dimensional theory, and the acoustic similarity conditions of cylindrical shells in water and air were given. In addition, the similarity of vibration and acoustic radiation in different media was verified through numerical simulations. The results show that the predictions of vibration and acoustic radiation from the results obtained in air were in good agreement with the results in water. Notably, in the low frequency bands, the predicted radiated sound power level and sound pressure level directivity curves exhibited significant overlap with the results in water. Although deviations were observed at higher frequencies due to the effects of acoustic wave fluctuations and fluid medium properties, these discrepancies were minor, and the numerical results remained consistent with the established similarity relationships. Furthermore, an examination of stiffened cylindrical shells confirmed the applicability of the proposed similarity theory to more complex thin shell structures. Experimental validations indicate that this method has certain applicability. However, the experimental results and numerical prediction results have discrepancies in some frequency bands.
本文研究了单层圆柱壳在不同介质中受机械激励时振动和声辐射特性的相似性。基于声学相似原理,利用量纲理论推导了相似数相等条件下的无量纲系数,给出了圆柱壳在水中和空气中的声学相似条件。此外,通过数值模拟验证了振动和声辐射在不同介质中的相似性。结果表明,空气中的振动和声辐射预报结果与水中的结果吻合较好。值得注意的是,在低频段,预测的辐射声功率级和声压级指向性曲线与水中的结果有明显的重叠。虽然由于声波波动和流体介质性质的影响,在较高频率处观察到偏差,但这些差异很小,数值结果与建立的相似关系保持一致。此外,对加筋圆柱壳的研究证实了所提出的相似理论对更复杂的薄壳结构的适用性。实验验证表明,该方法具有一定的适用性。然而,实验结果与数值预测结果在某些频段存在差异。
Tearing behavior of PVC-coated fabric with double initial cracks
Lingyu SHENG, Yingying ZHANG, Junhao XU, Xiaocheng LI, Yushuai ZHAO
doi:10.1016/j.tws.2025.113103
双初裂pvc涂层织物的撕裂行为
The interaction between double cracks in the membrane structure can significantly influence tearing behavior and structural stability. To elucidate the mechanism of this interaction, the tearing test of the coated fabric with double cracks were carried out. Firstly, the effects of crack length, spacing and angle on the tearing behavior of coated fabric with double cracks were analyzed. Subsequently, a predictive model for the tearing strength of coated fabric with double cracks was proposed. Finally, the impact of crack length, location and spacing on the tearing performance of plane tensioned membrane was studied by test and extended finite element method (XFEM). The results indicate that the PVC-coated fabric with double cracks exhibit two distinct failure modes, influenced primarily by crack length, spacing and angle. Notably, the crack with the larger effective size consistently initiates propagation before the smaller crack. The proposed model for double-crack tearing closely aligns with experimental results, with a mean error of 2.15% and a variance of 2.94%. Additionally, the critical tearing load of the plane-tensioned membrane is governed by the interplay between crack length and offset distance. Specifically, shorter cracks exert a positive influence by enhancing tearing strength, while greater offset distances further contribute to an increase in the critical tearing resistance. Finally, an increased crack length accelerates the propagation rate and diminishes the structural capacity, whereas a larger crack spacing enhances the overall resistance of the structure. Asymmetrical cracks lead to uneven stress distribution, further weakening tearing resistance. The findings of this study serve as a theoretical foundation for the design of membrane structures with enhanced tearing resistance.
膜结构中双裂纹之间的相互作用对膜的撕裂行为和结构稳定性有显著影响。为了阐明这种相互作用的机理,对双裂纹涂层织物进行了撕裂试验。首先,分析了裂纹长度、间距和角度对双裂纹涂层织物撕裂行为的影响。随后,提出了双裂纹涂层织物撕裂强度的预测模型。最后,通过试验和扩展有限元法(XFEM)研究了裂纹长度、位置和间距对平面拉伸膜撕裂性能的影响。结果表明:双裂纹涂层织物具有两种不同的破坏模式,主要受裂纹长度、间距和角度的影响;值得注意的是,有效尺寸较大的裂纹始终先于较小的裂纹开始扩展。该双裂纹撕裂模型与实验结果吻合较好,平均误差为2.15%,方差为2.94%。此外,平面张拉膜的临界撕裂载荷受裂纹长度和偏置距离的相互作用支配。具体而言,较短的裂纹通过提高撕裂强度产生积极影响,而较大的偏移距离进一步有助于增加临界撕裂阻力。裂缝长度的增加会加速结构的扩展速度,降低结构的承载力,而裂缝间距的增大则会提高结构的整体阻力。不对称裂纹导致应力分布不均匀,进一步削弱抗撕裂性。研究结果可为抗撕裂膜结构的设计提供理论依据。
Low-velocity impact and compression-after-impact behaviors of carbon/glass fiber hybrid composite laminates based on thin-ply carbon fiber prepreg and unidirectionally arrayed chopped strand
Yinyuan Huang, Ya Liu, Haohao Liu, Siqi Zhang, Junfeng Hu, Jianping Zhao
doi:10.1016/j.tws.2025.113075
基于薄层碳纤维预浸料和单向排列短切链的碳/玻璃纤维混杂复合材料层合板的低速冲击和冲击后压缩行为
The impact resistance is one of the most important mechanical properties of lightweight fiber-reinforced polymer composites (FRPs), which directly affects its application in engineering fields. However, due to the inherent brittleness of fibers, the mutual exclusion of strength and toughness has become one of the bottlenecks in FRP design. Considering the effect of hybrid structure and short fiber on improving the pseudo-ductility of FRP laminates, in this study, short fiber structures were prepared by introducing discontinuous slits into the thin-ply carbon fiber prepregs and mixing with glass fiber prepregs to fabricate carbon/glass fiber hybrid laminates (C/G). Low-velocity impact (LVI) tests and compression-after-impact (CAI) tests were carried out at energy levels of 15 J, 20 J, 25 J, and 30 J. The full-field displacement of specimens during CAI was captured by three-dimensional digital image correlation (3D-DIC). In addition, how the damage morphology varies spatially due to the different deformation and damage modes is learned from X-ray micro-computed tomography (Micro-CT) techniques. The experimental results indicate that the S2-UACS specimen exhibits the most outstanding impact resistance. Based on the visualization characteristics of C/G hybrid laminates, it is observed that the delamination on the backside of the C/G hybrid laminates is improved by introducing discontinuous slits. The degree of LVI damage significantly affects the CAI damage tolerance of the laminates. After impact at energies from 15 to 30 J, the CAI strengths of the C/G hybrid laminates with the discontinuous fiber structure are 9.94%, 25.61%, 10.29%, and 11.69% higher, respectively, than those of the continuous carbon fiber laminates. Furthermore, micro-CT revealed that the introduction of slits restrains the occurrence of fiber buckling and delamination propagation in C/G hybrid laminates during the CAI test.
抗冲击性能是轻质纤维增强聚合物复合材料最重要的力学性能之一,直接影响其在工程领域的应用。然而,由于纤维固有的脆性,强度与韧性的互斥成为玻璃钢设计的瓶颈之一。考虑到混杂结构和短纤维对提高玻璃钢复合材料伪延性的影响,本研究采用在薄层碳纤维预浸料中引入不连续裂缝制备短纤维结构,并与玻璃纤维预浸料混合制备碳/玻璃纤维混杂复合材料(C/G)。在15 J、20 J、25 J和30 J的能量水平下进行低速冲击(LVI)试验和冲击后压缩(CAI)试验,采用三维数字图像相关(3D-DIC)技术捕获试件在冲击后压缩过程中的全场位移。此外,通过x射线微计算机断层扫描(Micro-CT)技术了解了不同变形和损伤模式下损伤形态的空间变化规律。实验结果表明,S2-UACS试件的抗冲击性能最为突出。基于C/G杂化层合板的可视化特性,观察到通过引入不连续狭缝改善了C/G杂化层合板背面的分层现象。LVI损伤程度显著影响复合材料的CAI损伤容限。在能量为15 ~ 30 J的冲击下,纤维结构不连续的C/G混杂层合板的CAI强度分别比连续碳纤维层合板高9.94%、25.61%、10.29%和11.69%。此外,微ct显示,在CAI测试过程中,裂缝的引入抑制了C/G混杂层合板中纤维屈曲和分层扩展的发生。