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Analyzing the back-face deformation of curved UHMWPE composite laminate under high-speed impact 分析曲面超高分子量聚乙烯复合材料层压板在高速冲击下的背面变形
IF 6.3 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Pub Date : 2024-09-16 DOI: 10.1016/j.compstruct.2024.118567

Ballistic protection extensively employs curved ultra-high-molecular-weight polyethylene (UHMWPE) laminates to conform to protective targets. However, ballistic tests have indicated that the curvature of laminates increases back-face deformation, diminishing ballistic performance, while the mechanism behind this curvature effect on back-face deformation remains unclear. In this paper, the back-face deformation of curved UHMWPE laminates, including apex displacement and the boundary of the deformation region, are systematically studied through numerical simulation and theoretical analysis. Firstly, a numerical model of curved UHMWPE laminates under the high-speed impact is established. The numerical results indicate that as the curvature increases, the deformation region becomes more concentrated, resulting in a larger apex displacement. Secondly, as the curvature increases from zero, the deformation mode of curved laminates changes from membrane stretching dominated to a combination of membrane stretching and bending. Finally, considering the change in the deformation mode, a theoretical analysis for the propagation of bending waves in an orthotropic curved plate is conducted to reveal the relationship between curvature and back-face deformation. The theoretical analysis shows that increasing curvature slows bending wave speed, reducing in-plane deformation region movement, thus increasing apex displacement. This study is expected to help design curved UHMWPE laminates with better ballistic performance.

弹道防护广泛采用弯曲的超高分子量聚乙烯(UHMWPE)层压板来贴合防护目标。然而,弹道测试表明,层压板的弧度会增加背面变形,从而降低弹道性能,而弧度对背面变形的影响机制尚不清楚。本文通过数值模拟和理论分析,系统研究了曲面超高分子量聚乙烯层压板的背面变形,包括顶点位移和变形区域的边界。首先,建立了高速冲击下曲面超高分子量聚乙烯层压板的数值模型。数值结果表明,随着曲率的增加,变形区域变得更加集中,导致顶点位移增大。其次,随着曲率从零开始增大,曲面层压板的变形模式从膜拉伸为主变为膜拉伸和弯曲相结合。最后,考虑到变形模式的变化,对弯曲波在正交曲线板中的传播进行了理论分析,以揭示曲率与背面变形之间的关系。理论分析表明,曲率的增加会减慢弯曲波的速度,减少平面内变形区域的移动,从而增加顶点位移。这项研究有望帮助设计出具有更好弹道性能的曲面超高分子量聚乙烯层压板。
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引用次数: 0
Plasticity analysis and a homogenized constitutive model of compressible multi-layer structure of battery 电池可压缩多层结构的塑性分析和均质结构模型
IF 6.3 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Pub Date : 2024-09-16 DOI: 10.1016/j.compstruct.2024.118586

A homogenized constitutive model for the compressible multi-layer structure of battery (CMLSB) under external loading is essential for optimizing the structural design of electric assemblies. Currently, there is no specific constitutive model that is both mechanically explanatory and operationally applicable to CMLSB under varied loading conditions. In this study, due to limited understanding of the in-plane behavior of CMLSB, an analytical model was developed to investigate plasticity in this specific direction using the strain probing method. The observed plastic characteristics inspired the formulation of a novel two-dimensional constitutive framework for CMLSB in the in-plane direction.

By integrating this new constitutive framework with one-dimensional plastic descriptions, a hybrid constitutive model was introduced and implemented in finite element software. Calibration and validation of the model were performed using a commercial pouch cell battery and its segments under various loading conditions. Finite element simulations with the hybrid model demonstrated remarkable accuracy in predicting the mechanical behavior of the cell under various in-plane and out-of-plane compression scenarios. Additionally, simulations were carried out to analyze the impact of cell packaging and air pressure. The new hybrid battery model is considered a user-friendly, physically interpretable, and high-fidelity tool, poised to significantly facilitate the comprehensive design of electric devices.

可压缩多层电池结构(CMLSB)在外部载荷作用下的均质结构模型对于优化电动组件的结构设计至关重要。目前,还没有一个既能解释力学原理,又能适用于不同加载条件下 CMLSB 的具体构造模型。在本研究中,由于对 CMLSB 面内行为的了解有限,我们开发了一个分析模型,使用应变探测方法研究这一特定方向的塑性。观察到的塑性特征启发我们为 CMLSB 在面内方向制定了一个新的二维构成框架。通过将这个新的构成框架与一维塑性描述相结合,引入了一个混合构成模型,并在有限元软件中实现了该模型。在各种加载条件下,使用商用袋装电池及其片段对模型进行了校准和验证。使用混合模型进行的有限元模拟显示,在预测电池在各种面内和面外压缩情况下的机械行为时,其准确性非常高。此外,模拟还分析了电池包装和气压的影响。新型混合电池模型被认为是一种用户友好型、物理可解释型和高保真型工具,将极大地促进电动设备的综合设计。
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引用次数: 0
Reduced order homogenization of composites with strength difference effects in elastoplasticity coupled to damage 具有弹塑性强度差效应的复合材料的降阶均质化与损伤耦合
IF 6.3 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Pub Date : 2024-09-16 DOI: 10.1016/j.compstruct.2024.118564

This paper addresses reduced order homogenization of composites with strength difference (SD) effects in elastoplasticity coupled to damage, while containing several well-known plasticity criteria as special cases. We extend two approaches for this purpose: 1. nonuniform transformation field analysis (NTFA by Michel and Suquet, 2003) and 2. a recent variant called cluster-based NTFA (CNTFA by Ri et al., 2021), and conduct a comparative study on them. For the NTFA approach, a space–time decomposition is done separately for volumetric and deviatoric inelastic strain fields. A coupled model is derived for the present case to govern the evolution of resulting reduced variables. For the CNTFA approach, a clustering analysis is additionally performed for a spatial decomposition of the micro-domain. Unlike the NTFA, the online analysis is formulated as a unified minimization problem, which does not require a major adaptation for the present case. For both approaches, localization rules are deduced from the superposition principle and then homogenized to obtain the effective responses. FE-based implementation is presented in detail for both approaches. Numerical results show that both approaches provide a striking acceleration rate against conventional FE computations. The CNTFA predictions are more accurate than the NTFA ones by involving clustered microscopic fields in the online analysis, thus resulting into a slightly increased memory requirement.

本文针对复合材料的降阶均质化问题,在弹塑性与损伤耦合的情况下具有强度差(SD)效应,同时将几种著名的塑性标准作为特例。为此,我们扩展了两种方法:1.非均匀变换场分析法(NTFA,Michel 和 Suquet,2003 年)和 2.一种最新的变体,称为基于集群的 NTFA(CNTFA,Ri 等人,2021 年),并对它们进行了比较研究。在 NTFA 方法中,对体积应变场和偏离非弹性应变场分别进行了时空分解。针对目前的情况推导出了一个耦合模型,用于控制由此产生的简化变量的演变。对于 CNTFA 方法,还对微域的空间分解进行了聚类分析。与 NTFA 方法不同的是,在线分析被表述为一个统一的最小化问题,不需要对本例进行重大调整。对于这两种方法,都是从叠加原理中推导出定位规则,然后进行同质化处理,从而获得有效响应。两种方法都详细介绍了基于 FE 的实现方法。数值结果表明,与传统的 FE 计算相比,这两种方法都提供了惊人的加速度。CNTFA 预测比 NTFA 预测更准确,因为在线分析中涉及了集群微观场,从而导致内存需求略有增加。
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引用次数: 0
Dielectric behavior and breakdown strength of glass fiber reinforced epoxy composites under dynamic mechanical fatigue 玻璃纤维增强环氧树脂复合材料在动态机械疲劳下的介电行为和击穿强度
IF 6.3 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Pub Date : 2024-09-15 DOI: 10.1016/j.compstruct.2024.118569
Glass fiber reinforced polymer (GFRP), used in insulating components like insulation rods, needs to withstand both high voltage and large dynamic mechanical fatigue during operation. In this paper, the effects of tension–compression fatigue loads on the dielectric properties of GFRP under various fatigue cycles and stress levels are investigated. The results show that DC conductivity has a strong negative correlation with stiffness, while breakdown strength is showing a positive correlation. Fatigue-induced internal damage could cause continuous charge accumulation and enhanced interfacial polarization, leading to the increase of dielectric constant by 46.89% and the reduction of breakdown strength by 15.05%, when the fatigue span ratio reaches 80% under 40% stress level. Understanding the evolution of dielectric properties of GFRP under dynamic mechanical fatigue conditions is helpful for ensuring the safe and stable operation of electrical power equipment subjected to both high voltage and fatigue loads.
用于绝缘棒等绝缘部件的玻璃纤维增强聚合物(GFRP)需要在运行过程中承受高电压和大动态机械疲劳。本文研究了在不同疲劳循环和应力水平下,拉伸-压缩疲劳载荷对 GFRP 介电特性的影响。结果表明,直流电导与刚度呈强烈的负相关,而击穿强度则呈正相关。疲劳引起的内部损伤会导致电荷持续积累和界面极化增强,从而导致介电常数增加 46.89%,击穿强度降低 15.05%,在 40% 的应力水平下,当疲劳跨度比达到 80% 时,介电常数增加 46.89%,击穿强度降低 15.05%。了解动态机械疲劳条件下 GFRP 介电特性的演变有助于确保承受高压和疲劳载荷的电力设备安全稳定运行。
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引用次数: 0
Improved creep resistance of short carbon fiber reinforced polyetherimide composite by solution mixing method 用溶液混合法提高短碳纤维增强聚醚酰亚胺复合材料的抗蠕变性
IF 6.3 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Pub Date : 2024-09-15 DOI: 10.1016/j.compstruct.2024.118575

Creep resistance is critical for ensuring the dimensional stability and safe operation of composite components. However, the creep resistance of short fiber reinforced thermoplastic composites has been rarely reported and that of the composites manufactured by conventional extrusion compounding combined with injection molding is kind of low. In this work, in order to address this issue, two short carbon fiber-reinforced polyetherimide (SCF/PEI) composites named respectively as SCF/PEIE and SCF/PEIS are prepared by both conventional extrusion compounding and our newly developed solution mixing method combined with injection molding. The solution mixing method involves the dispersion and mixing of carbon fibers within a PEI solution and allows for the retention of longer fiber lengths. Experimentally, the creep behaviors of the SCF/PEI composites were examined through tensile and flexural creep testing at various stress levels in a wide temperature range. Theoretically, the creep behaviors were characterized by employing the Schapery model and the time–temperature superposition principle (TTSP), and the impact of fiber length retention on creep resistance was quantitatively analyzed using the Fu-Lauke model. The results demonstrate that compared to the SCF/PEIE composite, the SCF/PEIS composite exhibits a higher creep fracture stress level (175 MPa) and a more extensive linear viscoelastic region (0–85 MPa) at room temperature. Furthermore, the SCF/PEIS composite was observed to have a significantly longer secondary creep stage at an elevated temperature of 210 °C. Overall, the creep resistance of the newly manufactured SCF/PEIS is significantly superior to that of the SCF/PEIE, which effectively extends the service life and operational capacity of injection-molded SCF/PEI composites.

抗蠕变性对于确保复合材料部件的尺寸稳定性和安全运行至关重要。然而,短纤维增强热塑性复合材料的抗蠕变性却鲜有报道,而采用传统挤出复合和注塑成型工艺制造的复合材料的抗蠕变性更是低得可怜。针对这一问题,本研究采用传统挤出复合法和新开发的溶液混合法结合注塑成型法制备了两种短碳纤维增强聚醚酰亚胺(SCF/PEI)复合材料,分别命名为 SCF/PEIE 和 SCF/PEIS。溶液混合法涉及碳纤维在 PEI 溶液中的分散和混合,可保留较长的纤维长度。在实验中,我们通过拉伸和弯曲蠕变测试,在不同应力水平和较宽的温度范围内检验了 SCF/PEI 复合材料的蠕变行为。理论上,采用 Schapery 模型和时间-温度叠加原理(TTSP)对蠕变行为进行了表征,并利用 Fu-Lauke 模型定量分析了纤维长度保留对抗蠕变性的影响。结果表明,与 SCF/PEIE 复合材料相比,SCF/PEIS 复合材料在室温下表现出更高的蠕变断裂应力水平(175 兆帕)和更广泛的线性粘弹性区域(0-85 兆帕)。此外,在 210 °C 高温下,SCF/PEIS 复合材料的二次蠕变阶段明显更长。总体而言,新制造的 SCF/PEIS 的抗蠕变性明显优于 SCF/PEIE,从而有效延长了注塑 SCF/PEI 复合材料的使用寿命和工作能力。
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引用次数: 0
Nanofluid minimum quantity lubrication assisted grinding force model considering anisotropy of SiCf/SiC ceramic matrix composites 考虑到 SiCf/SiC 陶瓷基复合材料各向异性的纳米流体最小量润滑辅助磨削力模型
IF 6.3 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Pub Date : 2024-09-14 DOI: 10.1016/j.compstruct.2024.118577

SiCf/SiC ceramic matrix composites with excellent thermal stability, light weight and oxidation resistance have become key components in advanced aircraft engines. Nanofluid minimal quantity lubrication (NMQL) exhibits significant potential in enhancing heat transfer and lubrication efficiency during the grinding process. The technological challenge lies in thoroughly investigating the theoretical variation rule of grinding force, assisted by nanofluid minimal quantity lubrication, and subsequently achieving low-damage machining of SiCf/SiC composites. In this study, a prediction model for the grinding force during NMQL-assisted grinding was established, integrating diverse lubrication methods, grinding wheel geometric parameters, wear degree, process parameters, the anisotropy and damage degree of SiCf/SiC composites. The model was subsequently experimentally validated through grinding tests conducted on SiCf/SiC composites under various conditions, including dry grinding (DG), flood grinding (FG), minimum quantity lubrication (MQL), and carbon nanotube nanofluids (NMQL-CNTs), across multiple grinding depths. The present investigation’s grinding force forecasting model is evidenced to possess high accuracy of precision, showcasing mean deviations of 6.64 % and 11.97 % in the perpendicular (Fn) and tangential (Ft) grinding force components, respectively. Additionally, employing NMQL-CNTs facilitates the achievement of minimal grinding force and surface finish quality. At depths of 0.4 mm and 0.6 mm during grinding, the mean Fn magnitudes under the NMQL-CNTs lubrication approach underwent a decrease of 66.7 % and 74.5 %, respectively, in contrast, the mean Ft magnitudes experienced a reduction of 55 % and 67.2 %, correspondingly, in comparison to the DG lubrication technique. Notwithstanding the consistency in the material’s brittle removal mechanism across varying lubrication strategies, the NMQL-CNTs approach effectively alleviates fiber abrasion. Concisely, the research presented herein provides foundational theoretical insights and practical technological assistance for the achievement of low damage SiCf/SiC composite processing.

SiCf/SiC 陶瓷基复合材料具有优异的热稳定性、轻质和抗氧化性,已成为先进飞机发动机的关键部件。纳米流体最小量润滑(NMQL)在提高磨削过程中的传热和润滑效率方面具有巨大潜力。在纳米流体微量润滑的辅助下,深入研究磨削力的理论变化规律,进而实现 SiCf/SiC 复合材料的低损伤加工,是一项技术挑战。在本研究中,综合考虑了不同的润滑方法、砂轮几何参数、磨损程度、工艺参数、SiCf/SiC 复合材料的各向异性和损伤程度,建立了 NMQL 辅助磨削过程中磨削力的预测模型。随后,通过对 SiCf/SiC 复合材料在各种条件下(包括干磨 (DG)、泛磨 (FG)、最小量润滑 (MQL) 和纳米碳管流体 (NMQL-CNTs))进行的磨削试验,在多个磨削深度上对该模型进行了实验验证。本研究的磨削力预测模型具有很高的精度,垂直磨削力(Fn)和切向磨削力(Ft)的平均偏差分别为 6.64 % 和 11.97 %。此外,采用 NMQL-CNT 还有助于实现最小磨削力和表面光洁度。与 DG 润滑技术相比,在磨削深度为 0.4 毫米和 0.6 毫米时,NMQL-CNTs 润滑方法下的平均 Fn 值分别降低了 66.7% 和 74.5%,而平均 Ft 值则分别降低了 55% 和 67.2%。尽管在不同的润滑策略下,材料的脆性去除机制具有一致性,但 NMQL-CNTs 方法可有效减轻纤维磨损。简而言之,本文介绍的研究为实现低损伤 SiCf/SiC 复合材料加工提供了基础理论见解和实用技术帮助。
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引用次数: 0
Design-manufacturing-performance of electromagnetic absorbing/load bearing three-dimensional honeycomb woven composites 电磁吸收/承载三维蜂窝编织复合材料的设计-制造性能
IF 6.3 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Pub Date : 2024-09-14 DOI: 10.1016/j.compstruct.2024.118581

Structural electromagnetic wave (EMW) absorbing composites play a critical role in both civilian and military applications. However, traditional sandwich honeycomb EMW absorbing composites have poor out-of-plane mechanical properties and load-bearing performance.This study introduces the development of a three-dimensional honeycomb woven composite (3DHWC) that integrates EMW absorption and load-bearing capabilities. A weaving loom was used to fabricate a three-dimensional honeycomb woven structure fabric (3DHSWF) with varying structural parameters. Subsequently, the composites were formed using carbon black (CB), multi-walled carbon nanotubes (MWCNTs), and carbonyl iron powder (CIP) as hybrid absorbers, epoxy resin as the matrix, combined with the vacuum-assisted resin transfer molding (VARTM) process. Testing confirmed the material’s excellent EMW absorption and mechanical properties, achieving a maximum reflection loss (RL) of −30.9 dB and an adequate EMW absorption bandwidth (EAB) of 14.58 GHz. The maximum bending load reached 5799.1 N, with no delamination observed in the samples. This material demonstrates outstanding EMW absorption performance and exhibits superior load-bearing capacity while maintaining structural integrity. Our research provides valuable insights into the design of honeycomb EMW absorbing composites, offering significant advancements in EMW absorption efficiency and bending mechanical properties.

结构性电磁波吸收复合材料在民用和军用领域都发挥着重要作用。然而,传统的夹层蜂窝电磁波吸收复合材料平面外力学性能和承载性能较差。本研究介绍了一种集电磁波吸收和承载能力于一体的三维蜂窝编织复合材料(3DHWC)的开发情况。该研究采用织布机制造出具有不同结构参数的三维蜂窝编织结构织物(3DHSWF)。随后,以炭黑(CB)、多壁碳纳米管(MWCNTs)和羰基铁粉(CIP)为混合吸收剂,环氧树脂为基体,结合真空辅助树脂传递成型(VARTM)工艺,形成了复合材料。测试证实,该材料具有优异的电磁波吸收和机械性能,最大反射损耗(RL)达到 -30.9 dB,电磁波吸收带宽(EAB)达到 14.58 GHz。最大弯曲载荷达到 5799.1 N,样品中未观察到分层现象。这种材料具有出色的电磁波吸收性能,并在保持结构完整性的同时表现出卓越的承载能力。我们的研究为蜂窝电磁波吸收复合材料的设计提供了宝贵的见解,在电磁波吸收效率和弯曲机械性能方面取得了重大进展。
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引用次数: 0
Temperature-dependent R-curve and traction-separation relation in mode-I fracture of GFRP laminates GFRP 层压板 I 型断裂中与温度相关的 R 曲线和牵引分离关系
IF 6.3 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Pub Date : 2024-09-14 DOI: 10.1016/j.compstruct.2024.118573

The R-curve and fiber bridging phenomenon in mode-I fracture of glass-fiber reinforced laminates at different temperatures are investigated in this study, aiming to reveal their changes with temperature. The mode-I fracture experiments are carried out by adopting double cantilever beam (DCB) configuration at −55 ℃, 23 ℃ and 80 ℃. Fiber bridging is observed during the tests. The R-curve and bridging traction are quantitatively analyzed, from which the relationship between the R-curve and fiber bridging phenomenon, and temperature is obtained. It is found that fiber bridging effect is enhanced with the increase of temperature. The bridging traction of specimens tested at 80 ℃ is significantly higher than that at −55 ℃ and 23 ℃. An R-curve model considering both temperature and fiber bridging effects is proposed. In addition, bilinear and tri-linear traction-separation relations (TSLs) are utilized to establish a numerical model for the simulation of delamination growth behavior with the consideration of the temperature-dependent effect on the mechanical properties of composite materials. When using the bilinear TSL, the fiber bridging is considered by integrating the resulted R-curve into finite element model via a user-defined USDFLD subroutine. Effects of initial interface stiffness, interface strength and viscosity coefficient on simulated results are numerically investigated. Finally, applicability of the established numerical models is illustrated by comparisons between the simulations and the test results.

本研究探讨了不同温度下玻璃纤维增强层压板模态-I断裂的R曲线和纤维架桥现象,旨在揭示它们随温度的变化。采用双悬臂梁(DCB)结构在-55 ℃、23 ℃和 80 ℃下进行了模态-I断裂实验。测试过程中观察到了纤维架桥现象。对 R 曲线和架桥牵引力进行了定量分析,从中得出了 R 曲线和纤维架桥现象与温度之间的关系。结果发现,纤维架桥效应随着温度的升高而增强。80 ℃ 试样的架桥牵引力明显高于 -55 ℃ 和 23 ℃ 试样。提出了一个同时考虑温度和纤维架桥效应的 R 曲线模型。此外,考虑到温度对复合材料机械性能的影响,利用双线性和三线性牵引分离关系(TSL)建立了分层生长行为模拟数值模型。在使用双线性 TSL 时,通过用户定义的 USDFLD 子程序将生成的 R 曲线集成到有限元模型中,从而考虑了纤维桥接问题。数值研究了初始界面刚度、界面强度和粘度系数对模拟结果的影响。最后,通过比较模拟结果和测试结果,说明了所建立的数值模型的适用性。
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引用次数: 0
Multi-scale modeling of damage evolution for particle-filled polymer composites 颗粒填充聚合物复合材料损伤演变的多尺度建模
IF 6.3 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Pub Date : 2024-09-14 DOI: 10.1016/j.compstruct.2024.118572

In this study, a multi-scale modeling framework that spans from molecular chains to macroscopic structure was proposed for a typical particle-filled polymer composite (HTPB propellants). The cohesive zone model (CZM) is utilized in the RVE model of HTPB propellants to capture the debonding phenomena at the AP/HTPB interface. For the HTPB matrix, a free energy function based on the Gaussian chain network is employed. To depict the chain scission behavior, the phase fracture (PF) method along with gradient-damage theory is introduced. Subsequently, microscale fracture behavior under uniaxial tensile load was investigated based on the constructed RVE model, and a phenomenological macroscopic damage model was developed correspondingly. In this developed model, two damage factors related to the debonding of AP/HTPB interface and the growth of voids in matrix are introduced respectively. Thus, it can not only predict the macroscopic stress–strain response, but also can give the microscopic damage evolution information. Overall, this multi-scale modeling framework can offer us a deeper insight into the microstructural changes and the resulting macroscopic mechanical behavior of HTPB propellants.

本研究针对典型的颗粒填充聚合物复合材料(HTPB 推进剂)提出了一个从分子链到宏观结构的多尺度建模框架。HTPB 推进剂的 RVE 模型采用了内聚区模型 (CZM),以捕捉 AP/HTPB 界面的脱粘现象。对于 HTPB 矩阵,采用了基于高斯链网络的自由能函数。为了描述链的断裂行为,引入了相断裂(PF)方法和梯度损伤理论。随后,基于构建的 RVE 模型研究了单轴拉伸载荷下的微观断裂行为,并相应地建立了一个现象学宏观损伤模型。在该模型中,分别引入了与 AP/HTPB 界面脱粘和基体中空隙增长有关的两个损伤因子。因此,它不仅能预测宏观应力应变响应,还能给出微观损伤演变信息。总之,这种多尺度建模框架能让我们更深入地了解 HTPB 推进剂的微观结构变化及其导致的宏观力学行为。
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引用次数: 0
Elasticity solutions for functionally graded beams with arbitrary distributed loads 具有任意分布荷载的功能分级梁的弹性解法
IF 6.3 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Pub Date : 2024-09-14 DOI: 10.1016/j.compstruct.2024.118578

This paper derives the exact general elasticity solution for functionally graded rectangular beams subjected to arbitrary normal and tangential loads and with arbitrary end constraints. The general solution consists of bending moments and their integrals and derivatives, along with load-independent function sequences of the longitudinal coordinate. The method for determining function sequences has been established based on the stress function method. General solution formulas for stresses, strains and displacements have been derived and used to solve explicit special solutions for six cases involving concentrated forces, uniformly loads, and quadratically distributed loads with different displacement constraints scenarios. The results obtained are compared with existing exact solutions and those of Euler–Bernoulli and Timoshenko beams, and the errors of the latter two are analysed.

本文推导了承受任意法向和切向载荷以及任意端部约束的功能分级矩形梁的精确一般弹性解。一般解法包括弯矩及其积分和导数,以及与荷载无关的纵坐标函数序列。函数序列的确定方法基于应力函数法。推导出了应力、应变和位移的一般求解公式,并用于求解六种情况下的显式特殊解,包括集中力、均匀载荷和具有不同位移约束条件的二次分布载荷。所得结果与现有的精确解法以及欧拉-伯努利和季莫申科梁的解法进行了比较,并分析了后两者的误差。
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引用次数: 0
期刊
Composite Structures
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