International Journal of Solids and Structures最新文献

英文中文

Analyzing creep-recovery behavior of tropical Entandrophragma cylindricum wood: Traditional and fractional modeling methods 分析热带 Entandrophragma cylindricum 木材的蠕变恢复行为：传统和分数建模方法

IF 3.4 3区工程技术 Q1 MECHANICS

International Journal of Solids and Structures

Pub Date : 2024-10-30 DOI: 10.1016/j.ijsolstr.2024.113122

Nowadays, wood stands as one of the foremost used construction materials, owing largely to its exceptional physical and mechanical properties. Ensuring the safety of timber structures necessitates thorough investigations into the influential phenomena that significantly affect their strength and longevity. The aim of this paper is to study the coupled creep-recovery behavior of tropical wood from the Entandrophragma cylindricum species by evaluating the influence of stress levels on the performance of rheological models. Hence, the Burger and Weibull classic models were introduced to elucidate these phenomena. These models have been compared with the fractional Maxwell and Zener models. Following the simulations, the Burger classic model effectively characterized creep and recovery, comprising elastic, viscoelastic, and viscous elements arranged in series, as well as the classic Weibull model. During the recovery phase, the four-parameter Weibull model demonstrated a satisfying description, achieving 99% accuracy compared to 97% for the four-parameter Burger classic model. Three-parameter fractional Maxwell model fit all phases of the process for all deformations with an average accuracy of 98% for creep and 95% for recovery. These results provide valuable information on the material’s ability to recover from deformation and offer essential insights for materials characterization, engineering design, and quality assurance processes in materials engineering.

如今，木材已成为最常用的建筑材料之一，这主要归功于其卓越的物理和机械性能。要确保木材结构的安全性，就必须对严重影响其强度和寿命的影响现象进行深入研究。本文旨在通过评估应力水平对流变模型性能的影响，研究热带木材 Entandrophragma cylindricum 品种的蠕变-恢复耦合行为。因此，引入了 Burger 和 Weibull 经典模型来阐明这些现象。这些模型与分数麦克斯韦模型和齐纳模型进行了比较。经过模拟，Burger 经典模型和 Weibull 经典模型有效地描述了蠕变和恢复的特征，Burger 经典模型由串联排列的弹性、粘弹性和粘性元素组成。在恢复阶段，四参数 Weibull 模型的描述令人满意，准确率达到 99%，而四参数 Burger 经典模型的准确率为 97%。三参数分数麦克斯韦模型适合所有变形过程的所有阶段，蠕变的平均准确率为 98%，恢复的平均准确率为 95%。这些结果为材料的变形恢复能力提供了宝贵的信息，并为材料工程中的材料表征、工程设计和质量保证过程提供了重要的启示。

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引用次数: 0

Advanced finite element modeling methods for tensile and bending analysis of arresting gear cables 用于拦阻索拉伸和弯曲分析的先进有限元建模方法

IF 3.4 3区工程技术 Q1 MECHANICS

International Journal of Solids and Structures

Pub Date : 2024-10-29 DOI: 10.1016/j.ijsolstr.2024.113126

This study addresses the gap in understanding the dynamic bending behavior of multi-layer twisted steel cable, pivotal in various industrial applications such as naval aircraft arresting systems. Utilizing advanced finite element modeling, the research explores the mechanical responses of these cables under macroscopic bending scenarios. By integrating beam elements and connectors within the finite element framework, the study simulates complex inter-strand interactions under various loading conditions. Results indicate that this method significantly enhances the prediction accuracy of the cables’ mechanical properties, thus offering substantial improvements in design and performance analysis of arresting gear systems. This study’s value lies in its potential to refine mechanical modeling of complex cable systems, thereby optimizing operational efficiency and safety in engineering applications.

这项研究填补了对多层扭转钢缆动态弯曲行为理解方面的空白，多层扭转钢缆在各种工业应用（如舰载机拦阻系统）中具有举足轻重的地位。研究利用先进的有限元建模，探讨了这些钢缆在宏观弯曲情况下的机械响应。通过在有限元框架内集成梁元素和连接器，该研究模拟了各种加载条件下复杂的链间相互作用。结果表明，这种方法大大提高了缆索机械性能的预测精度，从而极大地改进了捕捉装置系统的设计和性能分析。这项研究的价值在于它有可能完善复杂缆索系统的机械建模，从而优化工程应用中的运行效率和安全性。

引用次数: 0

Free vibration of electroelastic thin-walled structures under static load 静载荷下电弹性薄壁结构的自由振动

IF 3.4 3区工程技术 Q1 MECHANICS

International Journal of Solids and Structures

Pub Date : 2024-10-29 DOI: 10.1016/j.ijsolstr.2024.113123

The mathematical formulation and finite element algorithm for solving the problem of free vibration of electroelastic plates and shells under static load are considered. In modeling, the curvilinear surface of a thin-walled structure is represented as a set of flat segments. In each of them, the physical relations of the classical laminated plate theory and the theory of electroelasticity, written for a plane stress state, are fulfilled. The strains are determined using nonlinear equations, which are linearized with respect to the state with a small deviation from the initial equilibrium position caused by static forces. As an examples, we consider a rectangular plate and a circular cylindrical shell with a piezoelectric element under the action of the uniform pressure. The validity of the solution is confirmed by comparing the normal displacement and natural frequencies of vibration with experimental data and results obtained with the use of commercial finite element software.

研究了解决静载荷下电弹性板和壳自由振动问题的数学公式和有限元算法。在建模过程中，薄壁结构的曲线表面表示为一组平面段。在每个片段中，经典层压板理论和电弹性理论的物理关系都是针对平面应力状态编写的。应变是通过非线性方程确定的，而非线性方程是针对静力导致的与初始平衡位置有微小偏差的状态线性化的。作为示例，我们考虑了在均匀压力作用下带有压电元件的矩形板和圆形圆柱壳。通过将法向位移和振动的自然频率与实验数据和使用商业有限元软件获得的结果进行比较，证实了该解决方案的有效性。

引用次数: 0

Metabarriers for mitigating traffic-induced surface waves: Mechanism dependence on buried arrangements 用于减缓交通引起的表面波的元载体：机制取决于埋设方式

IF 3.4 3区工程技术 Q1 MECHANICS

International Journal of Solids and Structures

Pub Date : 2024-10-28 DOI: 10.1016/j.ijsolstr.2024.113120

Locally resonant metamaterials provide exceptional wave manipulation capabilities in the low-frequency regime. This study introduces a buried metabarrier, which can simultaneously harness both resonant and geometric scatterings, to attenuate surface Rayleigh waves at both low and high frequencies induced by traffic. In particular, how the buried arrangements of metabarriers influence their resonant- and geometric-scattering mechanisms is investigated by considering the metabarrier units buried vertically and horizontally in the ground. To this purpose, a numerical finite element model, which is verified through comparisons with existing studies, is developed to analyze the attenuation performance of the metabarrier. Using this model, we perform parametric studies to examine the effects of the material properties and dimensions of the metabarriers on their attenuation behavior. Due to resonant scattering, low-frequency Rayleigh waves are mainly reflected by the vertical metabarriers; in contrast, they are predominantly converted into refracted bulk waves by the horizontal metabarriers. Additionally, the geometric scattering of horizontal metabarriers yields Bragg effects, which can reflect more high-frequency Rayleigh waves and induce a partial mode conversion to transverse bulk waves. Our systematic investigations will, to some extent, facilitate the future design of a well-performing metabarrier attenuating broadband Rayleigh waves.

局部谐振超材料在低频领域具有卓越的波操纵能力。本研究介绍了一种埋入式超材料，它可以同时利用谐振和几何散射来衰减交通诱发的低频和高频表面瑞利波。特别是，通过考虑垂直和水平埋入地下的元屏障单元，研究了元屏障的埋入布置如何影响其共振和几何散射机制。为此，我们开发了一个有限元数值模型来分析元屏障的衰减性能，并通过与现有研究的比较进行了验证。利用该模型，我们进行了参数研究，以检验元壁垒的材料特性和尺寸对其衰减行为的影响。由于共振散射，低频瑞利波主要被垂直元屏障反射；相反，它们主要被水平元屏障转化为折射体波。此外，水平元载波的几何散射会产生布拉格效应，从而反射更多的高频瑞利波，并诱导部分模式转换为横向体波。我们的系统研究将在一定程度上促进未来设计性能良好的元载波，以衰减宽带瑞利波。

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引用次数: 0

Design and sound absorption analysis of labyrinthine acoustic metamaterials based on fractal theory 基于分形理论的迷宫式声学超材料的设计与吸声分析

IF 3.4 3区工程技术 Q1 MECHANICS

International Journal of Solids and Structures

Pub Date : 2024-10-28 DOI: 10.1016/j.ijsolstr.2024.113121

Acoustic metamaterials exhibit exceptional sound absorption capabilities. This study introduces a fractal labyrinthine acoustic metamaterial (FLAM) designed for sound absorption analyses in a low-frequency range of 1–2000 Hz. The fractal curve is constructed through side substitution on an isosceles right triangle, which is chosen as the spatial recursive substructure due to its self-similarity. The FLAM model is then developed. With the thermal viscous losses considered in narrow channels, the sound absorption coefficient of this model is theoretically analyzed as the structural parameters significantly affect the sound absorption. A comprehensive analysis of low-frequency sound absorption performance is conducted for the first three orders, and the reconstruction of the structure with different combinations of fractal orders is examined to optimize the FLAM. The results show that the proposed FLAM achieves nearly perfect absorption in the 50–400 Hz range, with peak absorption coefficients of 0.99, 0.95, and 0.95 for the first three orders. The proposed FLAMs for the first three orders have total thicknesses of

0.032 λ

0.021 λ

, and

0.019 λ

, demonstrating excellent low-frequency sound absorption at deep sub-wavelength scales.

声超材料具有卓越的吸声能力。本研究介绍了一种分形迷宫式声学超材料（FLAM），设计用于 1-2000 Hz 低频范围内的吸声分析。分形曲线是通过对等腰直角三角形进行边置换而构建的，由于其自相似性，我们选择等腰直角三角形作为空间递归子结构。然后建立 FLAM 模型。考虑到窄通道中的热粘性损失，对该模型的吸声系数进行了理论分析，因为结构参数对吸声有显著影响。对前三阶的低频吸声性能进行了综合分析，并研究了不同分形阶数组合的结构重构，以优化 FLAM。结果表明，所提出的 FLAM 在 50-400 Hz 范围内实现了近乎完美的吸声效果，前三阶的吸声系数峰值分别为 0.99、0.95 和 0.95。所提出的前三阶 FLAM 的总厚度分别为 0.032λ、0.021λ 和 0.019λ，显示了在深亚波长尺度上出色的低频吸声性能。

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引用次数: 0

Mixed-mode fracture prediction of notched components using phase-field approach 利用相场方法预测缺口部件的混合模式断裂

IF 3.4 3区工程技术 Q1 MECHANICS

International Journal of Solids and Structures

Pub Date : 2024-10-26 DOI: 10.1016/j.ijsolstr.2024.113113

The application of the phase-field method (PFM) to brittle fracture for studying complex fracture phenomena has recently gained attention from researchers. However, there has been limited emphasis on predicting fracture loads for notched components. In this study, numerous phase-field simulations were conducted to compute the fracture load and crack initiation angle in brittle notched components under in-plane loading conditions. The accuracy of the results, verified against experimental data, demonstrates the PFM’s ability to precisely predict both fracture load and fracture initiation angle. Additionally, it has been demonstrated that Miehe’s spectral decomposition method provides more reliable results for notched Brazilian Disc specimens subjected to compressive loading than those obtained using Amor’s volumetric-deviatoric split method.

将相场法（PFM）应用于脆性断裂以研究复杂的断裂现象最近受到了研究人员的关注。然而，人们对缺口部件断裂载荷预测的重视还很有限。在本研究中，我们进行了大量相场模拟，以计算平面加载条件下脆性缺口部件的断裂载荷和裂纹起始角。根据实验数据验证的结果的准确性表明，相场模拟法能够精确预测断裂载荷和断裂起始角。此外，研究还证明，对于承受压缩载荷的缺口巴西圆盘试样，Miehe 的频谱分解法比 Amor 的体积-偏差分割法得出的结果更可靠。

引用次数: 0

Adaptively remeshed multiphysical modeling of resistance forge welding with experimental validation of residual stress fields and measurement processes 通过残余应力场和测量过程的实验验证，自适应重塑电阻锻造焊接的多物理模型

IF 3.4 3区工程技术 Q1 MECHANICS

International Journal of Solids and Structures

Pub Date : 2024-10-24 DOI: 10.1016/j.ijsolstr.2024.113112

Welding processes used in the production of pressure vessels impart residual stresses in the manufactured component. Computational modeling is critical to predicting these residual stress fields and understanding how they interact with notches and flaws to impact pressure vessel durability. In this work, we present a finite element model for a resistance forge weld and validate it using laboratory measurements. Extensive microstructural changes, near-melt temperatures, and large localized deformations along the weld interface pose significant challenges to Lagrangian finite element modeling. The proposed modeling approach overcomes these roadblocks in order to provide a high-fidelity simulation that can predict the residual stress state in the manufactured pressure vessel; a rich microstructural constitutive model accounts for material recrystallization dynamics, a frictional-to-tied contact model is coordinated with the constitutive model to represent interfacial bonding, and adaptive remeshing is employed to alleviate severe mesh distortion. An interrupted-weld approach is applied to the simulation to facilitate comparison to displacement measures. Several techniques are employed for residual stress measurement in order to validate the finite element model: neutron diffraction, the contour method, and the slitting method. Model-measurement comparisons are supplemented with detailed simulations that reflect the configurations of the residual-stress measurement processes themselves. The model results show general agreement with experimental measurements, and we observe some similarities in the features around the weld region. Factors that contribute to model-measurement differences are identified. Finally, we conclude with some discussion of the model development and residual stress measurement strategies, including how to best leverage the efforts put forth here for other weld problems.

压力容器生产过程中使用的焊接工艺会在制造部件中产生残余应力。计算建模对于预测这些残余应力场以及了解它们如何与缺口和缺陷相互作用以影响压力容器的耐久性至关重要。在这项工作中，我们提出了电阻锻造焊缝的有限元模型，并通过实验室测量进行了验证。广泛的微观结构变化、近熔温度和沿焊接界面的大局部变形给拉格朗日有限元建模带来了巨大挑战。所提出的建模方法克服了这些障碍，从而提供了可预测制造压力容器残余应力状态的高保真模拟；丰富的微观结构组成模型考虑了材料的再结晶动力学，摩擦-绑定接触模型与组成模型协调以表示界面结合，并采用自适应重网格化以减轻严重的网格畸变。模拟中采用了间断焊接方法，以便于与位移测量结果进行比较。为了验证有限元模型，采用了多种残余应力测量技术：中子衍射法、等值线法和切分法。模型与测量结果的比较还辅以详细的模拟，以反映残余应力测量过程本身的配置。模型结果与实验测量结果基本一致，我们还观察到焊接区域周围的一些相似特征。我们找出了造成模型与测量结果差异的因素。最后，我们对模型开发和残余应力测量策略进行了一些讨论，包括如何在其他焊接问题上更好地利用本文提出的方法。

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引用次数: 0

An investigation of rapid surface melting in nanowires 纳米线表面快速熔化的研究

IF 3.4 3区工程技术 Q1 MECHANICS

International Journal of Solids and Structures

Pub Date : 2024-10-23 DOI: 10.1016/j.ijsolstr.2024.113106

The investigation into virtual melting phenomena in nanowires holds significant relevance owing to its profound impact on material durability under extreme loading conditions. Thus, the exploration of this pivotal plastic deformation mechanism is undertaken utilizing the phase-field methodology. Employing a monolithic solver, we solve the coupled highly nonlinear time-dependent Ginzburg–Landau equation and dynamic elasticity equation. Our analysis encompasses the consideration of surface tension stress in conjunction with a coherent solid–liquid interface subjected to uniaxial transformation strain, thereby unveiling intriguing facets of melting phenomena. The investigation delves into the influence of transformation strain, kinetic coefficient, and temperature on the thickness of the solid–liquid interface and its corresponding velocity. This analysis is conducted through meticulous comparison with existing experimental data and molecular dynamics simulation. Moreover, employing the phase-field method yields precise descriptions of the system kinetics, capturing virtual melting phenomena in both pristine and flawed nanowire configurations.

纳米线中的虚拟熔化现象对极端载荷条件下的材料耐久性具有深远影响，因此对其进行研究具有重要意义。因此，我们利用相场方法探索了这一关键的塑性变形机制。我们采用单片求解器，求解了高度非线性时变金兹堡-朗道方程和动态弹性方程。我们的分析考虑了表面张力应力与单轴转换应变下的相干固液界面，从而揭示了熔化现象的有趣方面。研究深入探讨了转化应变、动力学系数和温度对固液界面厚度及其相应速度的影响。这一分析是通过与现有实验数据和分子动力学模拟进行细致比较后得出的。此外，采用相场方法还能精确描述系统动力学，捕捉原始和有缺陷纳米线构型中的虚拟熔化现象。

引用次数: 0

Constitutive modeling of thermo-chemical decomposition and thermo-mechanical deformation, coupled with transient heat conduction, in ablative matrix composite 烧蚀基复合材料热化学分解和热机械变形以及瞬态热传导的结构建模

IF 3.4 3区工程技术 Q1 MECHANICS

International Journal of Solids and Structures

Pub Date : 2024-10-23 DOI: 10.1016/j.ijsolstr.2024.113100

Several thermal protection systems employ sacrificial composite layer that undergoes thermo-chemical decomposition in high-temperature environment. This results in the pyrolysis gas formation (endothermic reaction) that gets trapped inside the voids generated in the ablative matrix phase. These trapped gases apply pore pressure on the structure, along with the mechanical loading, thus significantly influencing the structure failure. A novel thermo-chemical (TC) decomposition and thermo-mechanical (TM) deformation-based coupled multi-physics formulation, applicable to ablative composite systems, is thus presented. A novel shrinkage expression, due to ablative matrix decomposition, is derived. The TC + TM coupled formulation is converted to stress update process, and its results are validated against the available experimental data. The proposed formulation is also converted to boundary value problem employing non-linear finite element framework (NL-FEM). The Jacobian matrices, for one- and two-dimensional cases, are systematically derived, and the proposed NL-FEM formulation is successfully verified against several benchmark problems.

The transient heat conduction equation is finally coupled with the proposed TC + TM formulation (one-way coupling) thus enabling the analysis of more realistic situations where the constant heating rate assumption is not valid. The coupled formulation is finally implemented for several test cases and it is demonstrated that, it has a significant influence on pore pressure and porosity evolution (through pore volumetric strain) within the ablative matrix phase.

一些热防护系统采用的牺牲复合材料层在高温环境下会发生热化学分解。这导致热解气体的形成（内热反应），并被截留在烧蚀基质相中产生的空隙内。这些被截留的气体与机械负载一起对结构产生孔隙压力，从而严重影响结构的失效。因此，本文提出了一种适用于烧蚀复合材料系统的新型热化学（TC）分解和热机械（TM）变形耦合多物理场计算方法。由于烧蚀基质分解，得出了一种新的收缩表达式。TC + TM 耦合公式转换为应力更新过程，其结果与现有实验数据进行了验证。此外，还利用非线性有限元框架（NL-FEM）将提议的公式转换为边界值问题。最后将瞬态热传导方程与提议的 TC + TM 公式（单向耦合）进行耦合，从而能够分析恒定加热速率假设无效的更现实情况。该耦合公式最终在几个测试案例中得到了应用，并证明它对烧蚀基质相内的孔隙压力和孔隙率演变（通过孔隙体积应变）具有重大影响。

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引用次数: 0

Buckling analysis of PMMA hemispherical pressure shells with thickness variation 具有厚度变化的 PMMA 半球形压力壳的屈曲分析

IF 3.4 3区工程技术 Q1 MECHANICS

International Journal of Solids and Structures

Pub Date : 2024-10-22 DOI: 10.1016/j.ijsolstr.2024.113109

The buckling behaviour of polymethyl methacrylate (PMMA) hemispherical pressure shells under uniform external pressure was investigated experimentally and numerically. Six PMMA hemispherical pressure shells were prepared via the free blow-forming process. The geometry and wall thickness of each hemispherical shell were measured. The collapse loads and final failure modes of all shells were obtained via a hydrostatic pressure device. In addition, through optical 3D scanning, a numerical model of the hemispherical shell that reflects the actual geometric imperfection was established and used in the finite element buckling analysis. The numerical results were in agreement with the test results. These findings provide a reference for evaluating the buckling load of PMMA hemispherical shells prepared via the free blow-forming process.

实验和数值研究了聚甲基丙烯酸甲酯（PMMA）半球形压力壳在均匀外压下的屈曲行为。通过自由吹塑工艺制备了六个 PMMA 半球形压力壳。测量了每个半球形壳体的几何形状和壁厚。通过静水压力装置获得了所有壳体的坍塌载荷和最终失效模式。此外，通过光学三维扫描，建立了反映实际几何缺陷的半球形壳体数值模型，并将其用于有限元屈曲分析。数值结果与测试结果一致。这些研究结果为评估通过自由吹塑工艺制备的 PMMA 半球形外壳的屈曲载荷提供了参考。

引用次数: 0

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