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【新文速递】2023年11月18日复合材料SCI期刊最新文章

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今日更新:Composite Structures 1 篇,Composites Part A: Applied Science and Manufacturing 1 篇,Composites Part B: Engineering 1 篇,Composites Science and Technology 1 篇

Composite Structures

Modeling on the effect of automated fiber placement induced gaps in curved composite laminates

Chen Qisen, Ye Yaoyao, Qian Shimeng, Xu Qiang, Qu Weiwei, Song Xiaowen, Ke Yinglin

doi:10.1016/j.compstruct.2023.117721

 

曲面复合材料层压板中自动纤维铺放诱导间隙效应的建模

Automated placement technology has been widely used due to its excellent processing adaptability for large composite components with complex geometric structures. Whereas, it still poses challenges to study the effect of manufactured gaps induced by automated placement on curved composite parts. This study proposes a new geometric reconstruction approach based on consolidation and sweeping formation to model manufactured gaps. Additionally, a mechanical model incorporating the reconstructed geometry and the cohesive layer method is established to predict the physical behaviors of curved laminates. The micrograph of automated placement-induced gaps with 90° orientation was used to verify the rationality of the geometric reconstruction approach of gaps forming in the preparation process of composite materials. According to predictions of the proposed mechanical model, the effect of −45° oriented gap defects on curved laminates was validated via four-point bending tests that confirmed alignment between predictions and experimental results for peak load, crack propagation, and failure patterns. Experimental results show that due to the differences in spatial local geometric features, orientations of gap defects would reduce the bending strength to different degrees and significantly affect the failure pattern of curved laminates. Furthermore, curved laminates with wider gaps experience a more considerable reduction in load-bearing capacity.

自动贴装技术因其出色的加工适应性而被广泛应用于具有复杂几何结构的大型复合材料部件。然而,研究自动贴装技术对曲面复合材料部件产生的加工间隙的影响仍是一项挑战。本研究提出了一种基于固结和扫掠形成的新几何重构方法,以模拟制造间隙。此外,还建立了一个包含重建几何形状和内聚层方法的力学模型,以预测曲面层压板的物理行为。利用自动贴片引起的 90° 方向缝隙的显微照片来验证复合材料制备过程中形成缝隙的几何重构方法的合理性。根据提出的力学模型的预测,通过四点弯曲试验验证了-45°取向间隙缺陷对曲面层压板的影响,证实了峰值载荷、裂纹扩展和破坏模式的预测与实验结果之间的一致性。实验结果表明,由于空间局部几何特征的差异,间隙缺陷的取向会在不同程度上降低弯曲强度,并显著影响曲面层压板的破坏模式。此外,间隙较宽的曲面层压板的承载能力下降幅度更大。


Composites Part A: Applied Science and Manufacturing

Effect of atomic oxygen exposure on polybenzoxazine/POSS nanocomposites for space applications

He Yanjun, Suliga Agnieszka, Brinkmeyer Alex, Schenk Mark, Hamerton Ian

doi:10.1016/j.compositesa.2023.107898

原子氧暴露对用于太空应用的聚苯并恶嗪/POSS 纳米复合材料的影响

A new thermoset resin system, based on a polybenzoxazine blend, has been subjected to high ATOX fluence (2.69 ×1021 atom/cm2), equating to a period of 300 days in low Earth orbit. Several baseline tests were carried out on the resin and the addition of POSS decreased ATOX erosion yield by 69% compared with unmodified resin system. SEM and FTIR results confirm that the protection mechanism involves the formation of a silicon-rich surface layer in response to ATOX exposure, shielding the resin below from further erosion and principal components analysis was used to elucidate the degradation mechanism. Carbon fibre reinforced polymer (CFRP) laminates based on the new resin systems were tested for their mechanical properties. The addition of 6 wt% POSS leads to a 50% increase in the energy required to initiate fracture and 41% increase in the energy required to propagate a crack. Mode II fracture toughness is also improved by the addition of POSS (61.5% increase in energy required to initiate a crack and 35.7% increase in energy required to propagate it).

一种基于聚苯并恶嗪混合物的新型热固性树脂系统经受了相当于在低地球轨道上运行 300 天的高 ATOX 通量(2.69 ×1021 原子/平方厘米)的考验。对该树脂进行了多次基线测试,与未改性的树脂系统相比,添加 POSS 后 ATOX 侵蚀率降低了 69%。扫描电子显微镜和傅立叶变换红外光谱结果证实,保护机制包括在暴露于 ATOX 时形成富含硅的表层,从而保护下面的树脂免受进一步侵蚀,并利用主成分分析阐明了降解机制。对基于新树脂体系的碳纤维增强聚合物(CFRP)层压板进行了机械性能测试。添加 6 wt% POSS 后,引发断裂所需的能量增加了 50%,裂纹扩展所需的能量增加了 41%。加入 POSS 后,模态 II 断裂韧性也得到了改善(引发裂纹所需的能量增加了 61.5%,裂纹扩展所需的能量增加了 35.7%)。


Composites Part B: Engineering

Optimization of mechanical properties of multiscale hybrid polymer nanocomposites: A combination of experimental and machine learning techniques

Champa-Bujaico Elizabeth, Díez-Pascual Ana M., Lomas Redondo Alba, Garcia-Diaz Pilar

doi:10.1016/j.compositesb.2023.111099

优化多尺度杂化聚合物纳米复合材料的机械性能:实验与机器学习技术的结合

Machine learning (ML) models provide fast and accurate predictions of material properties at a low computational cost. Herein, the mechanical properties of multiscale poly(3-hydroxybutyrate) (P3HB)-based nanocomposites reinforced with different concentrations of multiwalled carbon nanotubes (MWCNTs), WS2 nanosheets and sepiolite (SEP) nanoclay have been predicted. The nanocomposites were prepared via solution casting. SEM images revealed that the three nanofillers were homogenously and randomly dispersed into the matrix. A synergistic reinforcement effect was attained, resulting in an unprecedented stiffness improvement of 132% upon addition of 1:2:2 wt% SEP:MWCNTs:WS2. Conversely, the increments in strength were only moderates (up to 13.4%). A beneficial effect in the matrix ductility was also found due to the presence of both nanofillers. Four ML approaches, Recurrent Neural Network (RNN), RNN with Levenberg's algorithm (RNN-LV), decision tree (DT) and Random Forest (RF), were applied. The correlation coefficient (R2), mean absolute error (MAE) and mean square error (MSE) were used as statistical indicators to compare their performance. The best-performing model for the Young's modulus was RNN-LV with 3 hidden layers and 50 neurons in each layer, while for the tensile strength was the RF model using a combination of 100 estimators and a maximum depth of 100. An RNN model with 3 hidden layers was the most suitable to predict the elongation at break and impact strength, with 90 and 50 neurons in each layer, respectively. The highest correlation (R2 of 1 and 0.9203 for the training and test set, respectively) and the smallest errors (MSE of 0.13 and MAE of 0.31) were obtained for the prediction of the elongation at break. The developed models represent a powerful tool for the optimization of the mechanical properties in multiscale hybrid polymer nanocomposites, saving time and resources in the experimental characterization process.

机器学习(ML)模型能以较低的计算成本快速准确地预测材料特性。本文预测了不同浓度的多壁碳纳米管(MWCNTs)、WS2 纳米片和海泡石(SEP)纳米粘土增强的多尺度聚(3-羟基丁酸酯)(P3HB)基纳米复合材料的力学性能。纳米复合材料是通过溶液浇注法制备的。扫描电镜图像显示,三种纳米填料均匀、随机地分散在基体中。在添加 1:2:2 wt% 的 SEP:MWCNTs:WS2 后,增强效果达到了前所未有的 132%。相反,强度仅有适度提高(最多 13.4%)。由于两种纳米填料的存在,基体延展性也得到了改善。应用了四种 ML 方法:循环神经网络 (RNN)、RNN 与莱文伯格算法 (RNN-LV)、决策树 (DT) 和随机森林 (RF)。相关系数(R2)、平均绝对误差(MAE)和平均平方误差(MSE)被用作比较它们性能的统计指标。对于杨氏模量,表现最好的模型是具有 3 个隐藏层、每层有 50 个神经元的 RNN-LV,而对于拉伸强度,则是使用 100 个估计器组合和最大深度为 100 的 RF 模型。具有 3 个隐藏层的 RNN 模型最适合预测断裂伸长率和冲击强度,每层分别有 90 个和 50 个神经元。在预测断裂伸长率时,相关性最高(训练集和测试集的 R2 分别为 1 和 0.9203),误差最小(MSE 为 0.13,MAE 为 0.31)。所开发的模型是优化多尺度杂化聚合物纳米复合材料机械性能的有力工具,节省了实验表征过程中的时间和资源。


Composites Science and Technology

Prediction of mechanical properties of 3D tubular braided composites at different temperatures using a multi-scale modeling framework based on micro-CT

Zhang Yuyang, Li Huimin, Liu Xin, Chen Yanhong, Qin Chengwei, Fang Daining

doi:10.1016/j.compscitech.2023.110349

 

利用基于微计算机断层扫描的多尺度建模框架预测三维管状编织复合材料在不同温度下的力学性能

It is of great significance to establish a real three-dimensional (3D) tubular braided composites mechanical properties prediction model at different temperatures. In this paper, a multi-scale modeling framework based on micro-computed tomography (micro-CT) is adopted to consider the characteristics of the real yarn cross section, fiber shape deviation and internal defects within the matrix after composite formation, and a realistic trans-scale finite element model for 3D tubular braided composite is established. The micro-scale and macro-scale mechanical properties of 3D tubular braided composites at different temperatures are sequentially simulated by using the elastic-plastic damage model considering temperature and the tractor-separation constitutive model. Comparison with experiments shows that temperature significantly affects the mechanical properties. With the increase of temperature, the overall failure degree of the 3D tubular braided composite under axial compressive load increases significantly, its axial compressive strength and modulus decrease significantly, and the post-peak response of the stress-strain curve gradually flattens. The proposed trans-scale model demonstrates high predictive accuracy.

建立真实的三维(3D)管状编织复合材料在不同温度下的力学性能预测模型具有重要意义。本文采用基于微计算机断层扫描(micro-CT)的多尺度建模框架,考虑了复合材料形成后真实纱线截面、纤维形状偏差和基体内部缺陷等特征,建立了真实的三维管状编织复合材料跨尺度有限元模型。利用考虑温度的弹塑性损伤模型和牵引分离构成模型,依次模拟了三维管状编织复合材料在不同温度下的微观尺度和宏观尺度力学性能。与实验的比较表明,温度对力学性能有显著影响。随着温度的升高,三维管状编织复合材料在轴向压缩载荷作用下的整体破坏程度显著增加,其轴向压缩强度和模量显著降低,应力-应变曲线的峰后响应逐渐趋于平缓。所提出的跨尺度模型具有很高的预测精度。



来源:复合材料力学仿真Composites FEM
ACTMechanicalSystem断裂复合材料电子ADSUG裂纹材料多尺度试验曲面
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首次发布时间:2024-11-03
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【新文速递】2023年11月4日固体力学SCI期刊最新文章

今日更新:Journal of the Mechanics and Physics of Solids 1 篇,Mechanics of Materials 2 篇,Thin-Walled Structures 2 篇Journal of the Mechanics and Physics of SolidsCoexistence of five domains at single propagating interface in single-crystal Ni-Mn-Ga Shape Memory AlloyZhang Chengguan, Balandraud Xavier, He Yongjundoi:10.1016/j.jmps.2023.105481单晶 Ni-Mn-Ga 形状记忆合金中单个传播界面上的五个畴共存Coexistence of both austenite and martensite during phase transformation is a common feature of all Shape Memory Alloys (SMAs). The martensite has different variants featuring characteristic deformations rotationally linked to each other due to the symmetries of the austenite parent phase, and the martensite variants can form twins with different mean characteristic deformations. Multiple-domain microstructures (consisting of austenite, martensite twins and individual martensite variants) evolve collectively within an SMA sample during the phase transformation, contributing thus to the material's macroscopic response (e.g., its global deformation). Particularly, the multiple domains can exist at the diffuse austenite-martensite interface nucleating and propagating in a single crystal in certain conditions. This implies an energy barrier for this interfacial structure, influencing the interface kinetics and the driving force (energy dissipation) of the phase transformation. In this paper, we report an experimentally observed interface consisting of five domains (austenite, one martensite variant and three twins) in a Ni-Mn-Ga single-crystal initially consisting of one martensite variant and subjected to a uniaxial thermal gradient. The compatibility analysis (performed from the characteristic strains of the three martensite variants having approximately a tetragonal symmetry) reveals that the five-domain interface is not a perfectly compatible pattern like the basic habit plane (consisting of only one twin compatible with austenite). However, its level of non-compatibility is similar to that of the quite common X-interface (four-domain coexistence) which is observed in many SMAs. Further, the significant effects of the thermal loading path and the material initial state (the initial martensite variant) on the domain pattern formation are demonstrated and analyzed. The experimental observation and the theoretical analysis of the domain patterns can provide hints to better understand diffuse interface kinetics and phase transformation hysteresis.相变过程中奥氏体和马氏体共存是所有形状记忆合金(SMA)的共同特征。由于奥氏体母相的对称性,马氏体具有不同的变体,这些变体具有相互关联的旋转变形特征,而马氏体变体可以形成具有不同平均特征变形的孪晶。在相变过程中,多域微结构(由奥氏体、马氏体孪晶和单个马氏体变体组成)在 SMA 样品中共同演化,从而对材料的宏观响应(如整体变形)做出贡献。特别是,在某些条件下,多晶畴可能存在于弥散奥氏体-马氏体界面,并在单晶中成核和传播。这意味着这种界面结构存在能量障碍,影响界面动力学和相变的驱动力(能量耗散)。在本文中,我们报告了实验观察到的一个界面,该界面由五个畴(奥氏体、一个马氏体变体和三个孪晶)组成,最初由一个马氏体变体组成的镍锰镓单晶受到单轴热梯度作用。相容性分析(根据近似四方对称的三个马氏体变体的特征应变进行)显示,五域界面并不像基本习性面(仅由一个与奥氏体相容的孪晶组成)那样是一个完全相容的模式。不过,其不相容程度与许多 SMA 中常见的 X 接口(四域共存)相似。此外,还证明并分析了热加载路径和材料初始状态(初始马氏体变体)对畴型形成的重要影响。畴型的实验观察和理论分析为更好地理解扩散界面动力学和相变滞后提供了提示。Mechanics of MaterialsAtomistic and continuum study of interactions between super-screw dislocations and coherent twin boundaries in L12-structured Ni3AIWang Peng, Xu Fei, Wang Yiding, Song Jun, Chen Chengdoi:10.1016/j.mechmat.2023.104848 L12结构Ni3AI中超螺位错与相干孪晶边界之间相互作用的原子论和连续统研究Informed by previous experimental observations, this study employed a combination of molecular dynamics simulations and dislocation continuum theory to investigate the interplay of super-screw dislocations and coherent twin boundary (CTB) in Ni3Al. The results reveal multiple interaction mechanisms depending on both the applied stress and the pathway for dislocation gliding. A continuum model framework has been developed to quantitatively evaluate the critical shear stress necessary for the CTB to accommodate dislocations along different pathway with the effects of anti-phase boundary (APB) and Complex Stacking fault (CSF) considered. The critical shear stress exhibits a significant inverse dependence on the quantity of dislocations, rendering it unsuitable as a measure of twin boundary strength. Instead, the resistant force of the CTB against all gliding dislocations is suggested as a more appropriate metric for quantifying its strength. This enables a direct comparison of the twin boundary strength between Ni and Ni3Al containing different amounts of Shockley dislocations, thereby extending its applicability to a wider range of materials. Our work offers new mechanistic insights critical for understanding and quantitative analysis of the interplay of super-dislocations and micro twining in nickel-based superalloys.根据先前的实验观察结果,本研究结合分子动力学模拟和位错连续理论,研究了镍3Al中超级螺钉位错和相干孪晶边界(CTB)的相互作用。研究结果揭示了取决于外加应力和位错滑行路径的多种相互作用机制。在考虑了反相边界(APB)和复杂堆积断层(CSF)的影响后,建立了一个连续模型框架,用于定量评估 CTB 沿不同路径容纳差排所需的临界剪切应力。临界剪应力与位错数量呈显著的反向依赖关系,因此不适合用来衡量孪晶边界强度。相反,CTB 对所有滑动位错的抵抗力被认为是量化其强度的更合适指标。这样就能直接比较含有不同数量肖克利位错的镍和镍3Al之间的孪晶边界强度,从而将其适用范围扩展到更广泛的材料。我们的研究为理解和定量分析镍基超合金中超位错和微孪晶的相互作用提供了新的机理见解。Effect of shell thickness on mechanical behavior of Al/Ti core-shell nanowires during three-point bending and unloadingDing Yi, Gao Tinghong, Liu Yutao, Song Han, Chen Qian, Xiao Qingquan, Xie Quandoi:10.1016/j.mechmat.2023.104853壳厚度对铝/钛核壳纳米线在三点弯曲和卸载过程中机械行为的影响The molecular dynamics models of Al and Al/Ti core-shell nanowires (NWs) are established using the large-scale atomic/molecular massively parallel simulator (LAMMPS) to simulate the loading and unloading of the three-point bending of NWs and to investigate the effect of Ti shell thickness on the mechanical behavior of core-shell NWs during loading and unloading. The results show that the Ti shell thickness considerably affects the mechanical properties of the NWs during the bending process. As the shell thickness of the NWs increases from 0 Å to 10 and 20 Å, their Young's moduli and yield strength first decreases and then increases; this is attributed to the unique evolution of the core-shell structure during the bending process. When the shell thickness is 0 Å, the yielding mechanism of the Al NWs involves the slip of the face-centered cubic (FCC) lattice plane to generate the hexagonal close-packed (HCP) stacking fault. During the subsequent plastic deformation, the FCC lattice plane continues to slip, resulting in the generation and annihilation of Shockley dislocations and HCP stacking faults. Finally, the Al NWs become completely amorphous at the cross section at the midpoint. The yielding mechanism of core-shell NWs involves the plastic deformation of the Ti shell at the bottom of the NW, followed by the continuous outward expansion of the plastic deformation region with increasing loading; this leads to the formation of a fan-shaped region at the bottom of the NW. Finally, the NWs are divided into different components according to their structure and atomic energy, and the driving force for each component during NW unloading is determined. Moreover, the strengthening effect of the shell thickness on the recovery performance of the NWs is investigated. The results show that Body Al provides the main driving force for the shape recovery of Al NW during the unloading process, and Surface Ti and Body Ti provide the main driving force for the shape recovery of the core-shell NWs. Larger the shell thickness, stronger the NW recovery performance during unloading. This study may facilitate the understanding of the unique mechanical behavior of the core-shell NWs.利用大规模原子/分子大规模并行模拟器(LAMMPS)建立了Al和Al/Ti核壳纳米线(NWs)的分子动力学模型,模拟了NWs三点弯曲的加载和卸载过程,并研究了Ti壳厚度对核壳NWs在加载和卸载过程中力学行为的影响。结果表明,在弯曲过程中,Ti 壳厚度对 NWs 的力学性能有很大影响。当 NWs 的壳厚度从 0 Å 增加到 10 Å 和 20 Å 时,其杨氏模量和屈服强度先减小后增大;这归因于弯曲过程中核壳结构的独特演变。当壳厚度为 0 Å 时,Al NWs 的屈服机制涉及面心立方(FCC)晶格面的滑移,从而产生六方紧密堆积(HCP)堆积断层。在随后的塑性变形过程中,FCC 晶格面继续滑移,导致肖克利位错和 HCP 堆积断层的产生和湮灭。最后,Al NWs 在中点的横截面上完全非晶化。核壳氮氧化物的屈服机制是氮氧化物底部的钛壳发生塑性变形,然后塑性变形区域随着载荷的增加不断向外扩展,这导致氮氧化物底部形成扇形区域。最后,根据 NW 的结构和原子能量将其分为不同的成分,并确定了 NW 卸载过程中各成分的驱动力。此外,还研究了外壳厚度对 NW 恢复性能的强化作用。结果表明,在卸载过程中,主体 Al 为 Al NW 的形状恢复提供了主要驱动力,而表面 Ti 和主体 Ti 则为核壳 NW 的形状恢复提供了主要驱动力。壳的厚度越大,NW 在卸载过程中的恢复性能越强。这项研究有助于理解核壳 NW 的独特力学行为。Thin-Walled StructuresElastic Local Buckling Coefficients of I-shaped Beams considering Flange–Web InteractionLee Jeonghwa, Kang Young Jongdoi:10.1016/j.tws.2023.111325考虑翼缘-腹板相互作用的工字形梁的弹性局部屈曲系数Since using high–strength and high–performance steels has become a more common structural design practice in building and bridge construction, there is an increased potential for designing extremely thin-walled I-shaped beam members to enhance the efficiency of the steel beam design. For a more accurate design approach for these thin-walled I-beam members, particularly when they are near noncompact limits, it is necessary to explore more rational methods for determining the elastic local buckling strength of I-beams. This study aimed to investigate the local buckling behavior and strength of I-shape structural sections by considering flange-web interactions through three-dimensional finite element analysis. The goal was to provide a more reasonable estimation of local buckling strength under uniform bending. To evaluate the local buckling behavior of flange and web panels and explain it reasonably, this study adopted the ratio of flange-web slenderness (λf/λw) and height-to-width ratio (H/bf) of I-shaped beams which can affect buckling mode shapes and local buckling strength of I-shaped beams induced by flange local and web bend bucklings. Finally, this study presented design equations for both flange local and web-bend buckling coefficients considering λf/λw and H/bf. It was expected that the presented local buckling coefficients (kf) for flanges and webs could lead to a more reasonable design, as compared to the existing AISC design provisions.由于在建筑和桥梁施工中使用高强度和高性能钢材已成为一种更为普遍的结构设计做法,因此设计极薄壁工字钢构件以提高钢梁设计效率的可能性越来越大。为了更准确地设计这些薄壁工字梁构件,特别是当它们接近非紧凑极限时,有必要探索更合理的方法来确定工字梁的弹性局部屈曲强度。本研究旨在通过三维有限元分析,考虑翼缘-腹板相互作用,研究工字形结构截面的局部屈曲行为和强度。目的是更合理地估算均匀弯曲下的局部屈曲强度。为了评估翼缘板和腹板的局部屈曲行为并对其进行合理解释,本研究采用了工字形梁的翼缘-腹板细长比 (λf/λw) 和高宽比 (H/bf),它们会影响由翼缘局部屈曲和腹板弯曲屈曲引起的工字形梁的屈曲模态形状和局部屈曲强度。最后,本研究提出了考虑到 λf/λw 和 H/bf 的翼缘局部屈曲系数和腹板弯曲屈曲系数的设计方程。与现有的 AISC 设计规定相比,所提出的法兰和腹板局部屈曲系数 (kf) 预计能带来更合理的设计。On strain rate effect and high-velocity impact behavior of carbon fiber reinforced laminated compositesZhang Nan, Qian Xueguang, Zhang Qi, Zhou Guangming, Xuan Shanyong, Wang Xiaopei, Cai Deng'andoi:10.1016/j.tws.2023.111328碳纤维增强层压复合材料的应变率效应和高速冲击行为In this paper, the tensile and in-plane shear behaviors of carbon fiber reinforced laminated composites (CFRLCs) under high strain rate loading were experimentally investigated. The strain and damage processes of the specimens were obtained using the Digital Image Correlation (DIC) method and a high-velocity camera. Quasi-static test results were used as the control group for obtaining the dynamic correction factors of the material system under high strain rate conditions. In addition, high-velocity impact (HVI) tests with different impact velocities and angles were conducted on CFRLCs. The dynamic correction factors were used in HVI simulations to consider the effect of strain rate. The energy absorption mechanisms and failure modes of laminates under different impact conditions were analyzed using testing and simulated results. It is found that during the HVI, matrix tension and fiber tension failures are the main failure modes. The energy absorbed by the laminate in oblique impact is larger than the one in normal impact. The possible reason is that the increase rate of the damage area with the four failure modes in oblique impact is larger than the one in normal impact.本文通过实验研究了碳纤维增强层状复合材料(CFRLC)在高应变速率加载下的拉伸和平面剪切行为。采用数字图像相关(DIC)方法和高速相机获取了试样的应变和损伤过程。准静态试验结果作为对照组,用于获得高应变速率条件下材料系统的动态修正系数。此外,还对 CFRLC 进行了不同冲击速度和角度的高速冲击(HVI)试验。在 HVI 模拟中使用了动态修正系数,以考虑应变率的影响。利用试验和模拟结果分析了不同冲击条件下层压板的能量吸收机制和破坏模式。结果发现,在高冲击强度下,基体拉伸和纤维拉伸破坏是主要的破坏模式。层压板在斜面冲击下吸收的能量大于正常冲击下吸收的能量。可能的原因是斜向冲击中四种破坏模式的破坏面积增加率大于正常冲击中的破坏面积增加率。来源:复合材料力学仿真Composites FEM

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