【新文速递】2023年11月15日固体力学SCI期刊最新文章

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今日更新：Mechanics of Materials 1 篇，Thin-Walled Structures 4 篇

Mechanics of Materials

A residual stress-dependent mixed-mode phase-field model: Application to assessing the role of tailored residual stresses on the mechanical performance of ceramic laminates

Behera Akash Kumar, Rahaman Mohammad Masiur, Roy Debasish

doi:10.1016/j.mechmat.2023.104867

残余应力相关的混合模相场模型:应用于评估定制残余应力对陶瓷层压板力学性能的作用

Ceramics offer several attractive properties of industrial relevance, e.g. high strength and hardness, low thermal conductivity, and chemical inertness in critical environments. There is thus interest among researchers to improve the fracture toughness of ceramics, which is generally low and considered a major drawback. Numerous experimental studies in the literature report on the enhancement of mechanical performance of ceramic laminates, especially fracture toughness, by tailoring the residual stress, resulting in crack deflection or bifurcation. However, there is a dearth of computational models that can reliably predict the crack path and accurately quantify the improved fracture toughness. In this article, we propose a residual stress-dependent mixed-mode phase-field model within a small deformation set-up. The proposed model is efficient in including any energy dissipation effect in a consistent manner. The model can be exploited as a tool to study the effect of tailored residual stresses on the fracture toughness of ceramic laminates. We have validated our proposal by reproducing the results for a few problems that require the incorporation of residual stresses within the formulation. By conducting a set of four-point bending tests on notched composite beams made of alternating layers of Al2O3 with 5% tetragonal ZrO2 (ATZ) and Al2O3 with 30% monoclinic ZrO2 (AMZ), we demonstrate how tailored residual stresses could indeed influence the mechanical performance of ceramic laminates.

陶瓷具有多种与工业相关的诱人特性，例如高强度和高硬度、低导热性以及在关键环境中的化学惰性。因此，研究人员有兴趣提高陶瓷的断裂韧性，因为陶瓷的断裂韧性通常较低，被认为是一个主要缺点。文献中的大量实验研究报告了如何通过调整残余应力来提高陶瓷层压板的机械性能，尤其是断裂韧性，从而导致裂纹偏转或分叉。然而，能可靠预测裂纹路径并准确量化所改善的断裂韧性的计算模型却十分匮乏。在本文中，我们在小变形设置中提出了一个与残余应力相关的混合模式相场模型。所提出的模型能以一致的方式有效地包含任何能量耗散效应。该模型可用作研究定制残余应力对陶瓷层压板断裂韧性影响的工具。我们对一些需要在公式中加入残余应力的问题重现了结果，从而验证了我们的建议。通过对由含 5%四方氧化锆的 Al2O3（ATZ）和含 30% 单斜氧化锆的 Al2O3（AMZ）交替层组成的缺口复合梁进行一组四点弯曲试验，我们证明了定制残余应力如何影响陶瓷层压板的机械性能。

Thin-Walled Structures

CFS Lipped Channel Beams Buckling in Distortional Modes at Elevated Temperatures: Behaviour, Failure and DSM Design

das Neves Natan Sian, Landesmann Alexandre, Camotim Dinar

doi:10.1016/j.tws.2023.111366

CFS唇形槽梁在高温下的扭曲模式屈曲:行为，失效和DSM设计

This work reports the findings of a comprehensive numerical investigation on the post-buckling behaviour, failure and Direct Strength Method (DSM) design of cold-formed steel (CFS) single-span simply supported lipped channel beams buckling in distortional modes at elevated temperatures (up to 800 °C) due to fire conditions. It extends the scope of a previous investigation carried out by Landesmann and Camotim [1], by analysing a substantially larger lipped channel beam set, exhibiting various cross-section dimensions and yield stresses, selected to cover wider distortional slenderness ranges. As done before, (i) the beams analysed display two end support conditions, (ii) the Eurocode 3 (part 1.2) model to describe the temperature-dependence of the CFS material properties is adopted and (iii) the results are obtained by means of Abaqus shell finite element GMNIA. After presenting and discussing the main features of the beam distortional post-buckling behaviour, extensive beam failure moment sets are gathered and used to develop and validate DSM-based design approaches. The methodology followed consists of modifying the most performant available DSM-based design curves (developed for beams at ambient temperature [2]), which naturally involves the temperature-dependent reduction factors of the CFS model. A merit assessment procedure shows that the modified DSM-based strength curves predict the lipped channel beam distortional failure moments with remarkable accuracy and reliability, thus constituting an excellent starting point to search for a DSM-based design approach capable of handling arbitrary CFS beams failing in distortional modes at elevated temperatures.

这项工作报告了一项全面的数值研究结果，研究了冷弯钢(CFS)单跨简支唇形槽钢梁在高温(高达800°C)火灾条件下以扭曲模式屈曲的后屈曲行为、破坏和直接强度法(DSM)设计。它扩展了Landesmann和Camotim[1]之前进行的调查的范围，通过分析一个更大的唇形通道梁组，显示出各种截面尺寸和屈服应力，选择覆盖更宽的扭曲长细比范围。如前所述，(i)所分析的梁显示两种端支条件，(ii)采用欧洲规范3(第1.2部分)模型来描述CFS材料特性的温度依赖性，(iii)通过Abaqus壳有限元GMNIA获得结果。在介绍和讨论了梁变形后屈曲行为的主要特征之后，收集了大量的梁破坏矩集，并用于开发和验证基于dsm的设计方法。接下来的方法包括修改最高性能的基于dsm的设计曲线(为环境温度下的梁开发)，这自然涉及到CFS模型的温度相关折减因子。一个优点评估程序表明，改进的基于dsm的强度曲线预测唇形通道梁的畸变破坏矩具有显著的准确性和可靠性，从而为寻找一种能够处理任意CFS梁在高温下畸变模式失效的基于dsm的设计方法提供了一个很好的起点。

Comprehensive investigation into the thermal rheological behaviour and relaxation characteristic of single/composite polymers in laminated glass

Xie Dongdong, Yang Jian, Zhao Chenjun, Wang Xing-er

doi:10.1016/j.tws.2023.111369

夹层玻璃中单一/复合聚合物热流变行为和弛豫特性的综合研究

Polymeric interlayers are of significance for the structural capability of thin-walled laminated glass members both before and after glass fracture. Polymers present evident temperature and time dependence, which should be carefully assessed in the design process. To improve mechanical properties dependent on the temperature and time, novel interlayers including modified ethylene-vinyl acetate (PVE®) and composite PVE/PC (SGE®), have been developed along with the sound resistance of the interfacial adhesion to aging. In this work, dynamic mechanical thermal analysis tests were carried out to investigate the thermal rheological behaviour and relaxation characteristic of polyvinyl butyral (PVB), ionomer (SentryGlas®, SG), PVE, PC and SGE. The results show that PVE and SGE follow the complex thermal rheological behaviour as a result of the existence of two different types of relaxation transitions, whilst PVB, SG, and PC are thermorheologically simple materials. The arctangent function was introduced to describe the temperature dependence of PVB and SG. The relaxation modulus of polymers was subsequently derived based on the approximation equation and inverse Fourier transform. The results of the inverse Fourier transform indicate that vertical shift might need to be considered for PVE and SGE. The application of the approximation equation was assessed and its limitation was discussed. Finally, the relaxation characteristics of five polymers were described using the generalized Maxwell model based on the weighted least squares method.

聚合物夹层对薄壁夹层玻璃构件断裂前后的结构性能都有重要影响。聚合物表现出明显的温度和时间依赖性，在设计过程中应仔细评估。为了改善随温度和时间变化的机械性能，新型夹层包括改性乙烯-醋酸乙烯酯(PVE®)和复合PVE/PC (SGE®)，并具有良好的界面粘附抗老化性能。在这项工作中，进行了动态机械热分析测试，以研究聚乙烯醇丁醛(PVB)，离聚物(SentryGlas®，SG)， PVE, PC和SGE的热流变行为和弛缓特性。结果表明，由于存在两种不同类型的弛豫转变，PVE和SGE遵循复杂的热流变行为，而PVB, SG和PC是热流变简单的材料。引入反正切函数来描述PVB和SG的温度依赖性。基于近似方程和傅里叶反变换，推导了聚合物的弛豫模量。傅里叶反变换的结果表明，垂直位移可能需要考虑PVE和SGE。评价了近似方程的应用，讨论了它的局限性。最后，利用基于加权最小二乘法的广义Maxwell模型描述了五种聚合物的弛缓特性。

Nonlinear Two-Dimensional Transient Thermoelastic Analysis of Functionally Graded Composite Plates Subjected to Localised Cooling Loads

Babaee Alireza, Jelovica Jasmin

doi:10.1016/j.tws.2023.111370

局部冷却载荷作用下功能梯度复合材料板的非线性二维瞬态热弹性分析

In this study, for the first time, localized thermal cooling is considered for the transient thermoelastic response of an axisymmetric plate, addressing the underexplored area of localized low-temperature thermoelasticity. Functionally graded composite plates are analyzed which consist of a mixture of stainless steel (SUS304) and low-carbon steel (AISI1020). A two-dimensional transient heat conduction equation is employed to capture localized cooling effects, featuring various adaptive time-dependent thermal boundary conditions which mirror both loading and unloading scenarios, effectively simulating real-world phenomena. Novel parameters are introduced to facilitate a comprehensive understanding of various aspects of thermal load handling and their impact on thermoelastic responses. The heat conduction equations are solved using the Generalized Differential Quadrature Method (GDQM) and the Crank-Nicolson scheme. The nonlinear governing equations, incorporating geometrical nonlinearity through the von Kármán assumption within the First Shear Deformation Theory (FSDT) framework, are solved using the GDQM and the Picard's technique. The model is validated using Finite Element Method (FEM) through Abaqus. A comprehensive analysis is provided that considers influence of the ratio of thermally affected and unaffected plate surface, thermal load magnitude, rapidity of thermal loading and unloading, duration of the cooling load, geometrical nonlinearity, and temperature dependence of material. The study shows that the maximum von Mises stress within the structure remains consistent regardless of the duration of the cooling load, as long as the rate at which the cooling load is applied stays the same. Additionally, the findings reveal that even minor localized thermal loads can produce substantial stress, especially at the intersection of thermally affected and non-affected zones on the exposed surface in some situations.

本研究首次考虑了轴对称板材瞬态热弹性响应的局部热冷却，解决了局部低温热弹性这一尚未充分开发的领域。分析了由不锈钢（SUS304）和低碳钢（AISI1020）混合组成的功能分级复合板。采用二维瞬态热传导方程来捕捉局部冷却效应，并采用各种自适应的随时间变化的热边界条件来反映加载和卸载情况，从而有效地模拟真实世界的现象。引入的新参数有助于全面了解热负荷处理的各个方面及其对热弹性响应的影响。热传导方程采用广义微分正交法（GDQM）和 Crank-Nicolson 方案求解。通过第一剪切变形理论（FSDT）框架内的 von Kármán 假设，将几何非线性纳入非线性控制方程，并使用 GDQM 和 Picard 技术进行求解。通过 Abaqus 使用有限元法 (FEM) 对模型进行了验证。综合分析考虑了受热影响和未受热影响板面的比例、热载荷大小、热加载和卸载速度、冷却载荷持续时间、几何非线性以及材料的温度依赖性等因素的影响。研究表明，无论冷却载荷持续时间长短，只要施加冷却载荷的速度保持不变，结构内的最大 von Mises 应力就会保持一致。此外，研究结果还表明，即使是轻微的局部热负荷也会产生很大的应力，特别是在某些情况下，在暴露表面的热影响区和非影响区的交汇处。

Free-damped vibration analysis of viscoelastic foam-filled FGM anisogrid lattice cylindrical shells

Dai Zuocai, Shi Yan, Kiani Yaser

doi:10.1016/j.tws.2023.111373

粘弹性泡沫填充FGM等网格点阵圆柱壳的自由阻尼振动分析

Our aim with this paper is to model and investigate the vibration and damping of a new hybrid composite shell. The considered composite cylindrical shell includes an FGM anisogrid lattice shell perfectly filled with viscoelastic foams. The modeling of the lattice part composed of spiral and hoop ribs is accomplished according to a global continuous standard based on orthotropic deep shells. The distribution pattern of the metal and ceramic constituents along the lattice ribs is specified by a power law. The homogenizations between ceramic and metal phases within the ribs, as well as between the FGM lattice structure and foam, are governed by the rule of mixtures. Based on the transferred Kelvin-Voigt viscoelastic scheme, the dynamic moduli of the foam portion are acquired. Because viscoelastic foam is a soft material, the higher-order shear deformation shell theory is used to estimate the system's displacement components. After emanating the dynamic equations by Hamilton's principle, the Chebyshev collocation-based semi-numerical method is implemented to detect the system's frequencies and loss factors. The comprehensive results show the role of each composite characteristic in the vibration and damping behavior of the defined structure.

本文的目的是对一种新型复合材料壳体的振动和阻尼进行建模和研究。所考虑的复合圆柱壳包括一个完美填充粘弹性泡沫的FGM等网格晶格壳。根据基于正交各向异性深壳的全局连续标准，对螺旋肋和环肋组成的点阵部件进行了建模。金属和陶瓷成分沿晶格肋的分布模式由幂律指定。肋内陶瓷相和金属相之间以及FGM晶格结构和泡沫之间的均质化受混合规律支配。基于传递的Kelvin-Voigt粘弹性格式，得到了泡沫部分的动力模量。由于粘弹性泡沫是一种软质材料，因此采用高阶剪切变形壳理论来估计系统的位移分量。在Hamilton原理推导出系统的动力学方程后，采用基于切比雪夫配置的半数值方法检测系统的频率和损耗因子。综合计算结果表明了各复合材料特性对结构振动和阻尼性能的影响。

来源：复合材料力学仿真Composites FEM

【新文速递】2023年11月18日固体力学SCI期刊最新文章

今日更新：International Journal of Solids and Structures 1 篇，Mechanics of Materials 1 篇，Thin-Walled Structures 2 篇International Journal of Solids and StructuresMultiscale modeling and simulation on mechanical behavior of fiber reinforced concreteLi Xiang-Nan, Zuo Xiao-Bao, Li Liang, Liu Jing-Handoi:10.1016/j.ijsolstr.2023.112569纤维增强混凝土力学行为的多尺度建模与模拟A multiscale mechanical model is proposed to quantitatively describe the macro-mechanical behavior of fiber reinforced concrete (FRC) based on its multiscale material compositions. Firstly, according to the actual scale characteristics of compositions, the model of composite material at each scale of FRC, including hardened cement paste, cement mortar and meso-FRC, was geometrically reconstructed; Secondly, the equations of stiffness and strength of composite material at each scale were established by using the equivalent inclusion theory and Ottosen failure criterion, and a multiscale mechanical model of FRC was proposed by upscaling from stiffness and strength of microstructure to macro-mechanical behavior of FRC; Finally, after verified by the experimental results in the literature, the proposed model was used to numerically investigate the loading-induced stress response and the evolution of macro-mechanical properties of FRC in its curing process, as well as the influence of steel fiber parameters, such as volume fraction, aspect ratio and spatial orientation, on the mechanical properties of FRC.根据纤维增强混凝土（FRC）的多尺度材料组成，提出了定量描述其宏观力学行为的多尺度力学模型。首先，根据成分的实际尺度特征，对 FRC 各尺度的复合材料模型（包括硬化水泥浆、水泥砂浆和介质 FRC）进行几何重构；其次，利用等效包容理论和 Ottosen 失效准则，建立各尺度复合材料的刚度和强度方程，并从微观结构的刚度和强度上升到 FRC 的宏观力学行为，提出了 FRC 的多尺度力学模型；最后，经文献中的实验结果验证，利用所提出的模型对 FRC 固化过程中的加载诱导应力响应和宏观力学性能的演变，以及体积分数、长径比和空间取向等钢纤维参数对 FRC 力学性能的影响进行了数值研究。Mechanics of MaterialsPhase-field study of the solutes-interstitial loops interaction in Fe–Cr alloysWang Heran, Yu Kang, Wang Jincheng, Wu Lu, Zhang Wen, Zhang Jingdoi:10.1016/j.mechmat.2023.104865铁铬合金中溶质-间隙环相互作用的相场研究Interstitial dislocation loops are typically formed in post-irradiated materials, such as Ferritic-Martensitic Fe–Cr alloys. These loops demonstrate solute segregation along their perimeters, effectively pinning the dislocation climb and resulting in high-density, small-sized loops that cause embrittlement. Phase-field simulations were conducted to investigate the behavior of Cr segregation in the stress field of a<100> type and various a/2<111> type interstitial dislocation loops in post-irradiated Fe–10Cr alloy. The study considers the long-range elastic interaction of solute Cr within the stress field of dislocation loops in a cubic elastic anisotropic material. The findings reveal a nonuniform stress distribution along the loop's perimeter depending on the included angle of habit plane normal n and Burgers vector b; the nonuniformity becomes more pronounced as the Burgers vector deviates from the normal direction. Furthermore, this nonuniform stress induces Cr segregation within regions experiencing tensile stress and Cr depletion in compression stress regions. Furthermore, a comprehensive analytical solution has been developed to characterize the diverse stress fields and solute segregation induced by interstitial dislocation loops with varying habit planes and Burgers vectors. The proposed analytical model effectively depicts the stress distribution of various dislocation loops, resulting in a Cr segregation profile that closely approximates those obtained through phase-field simulations. A thorough analysis of solute segregation mechanisms also elucidates the dispersed fine-scale nature and high density observed in experimental investigations of dislocation loops.铁素体-马氏体铁铬合金等辐照后材料中通常会形成间隙位错环。这些环路沿其周边显示出溶质偏析，有效地固定了位错的攀升，从而形成高密度、小尺寸的环路，导致脆化。我们进行了相场模拟，以研究辐照后 Fe-10Cr 合金中 a<100> 型和各种 a/2<111> 型间隙位错环应力场中的铬偏析行为。该研究考虑了在立方弹性各向异性材料中，溶质铬在差排环应力场中的长程弹性相互作用。研究结果表明，沿着差排环周边的应力分布不均匀，这取决于习性平面法线与布尔格斯矢量 b 的夹角；当布尔格斯矢量偏离法线方向时，这种不均匀性变得更加明显。此外，这种不均匀应力会在承受拉伸应力的区域诱发铬偏析，在压缩应力区域诱发铬损耗。此外，我们还开发了一种全面的分析解决方案，用于描述由具有不同习性平面和布尔矢量的间隙位错环引起的不同应力场和溶质偏析。所提出的分析模型有效地描述了各种位错环的应力分布，从而得出了与相场模拟所得结果非常接近的克拉偏析曲线。对溶质偏析机制的透彻分析还阐明了在差排环实验研究中观察到的分散细尺度性质和高密度。Thin-Walled StructuresVibration analysis of FGM anisogrid lattice plates with one width fold based on the continuous model using the GDQE methodLuo Jijun, Peng Shengguang, Hou Suxia, Kiani Yaserdoi:10.1016/j.tws.2023.111386使用 GDQE 方法对基于连续模型的单宽折叠 FGM anisogrid 格构板进行振动分析This research tests the idea of folding on the free vibration response of anisogrid lattice plates. It is assumed that the oblique and straight ribs with functionally graded materials (FGMs) construct the lattice plate. The stiffness and mass of the whole plate are computed by employing the global continuous model based on the shear deformable orthotropic plates. Then a width fold is created in the plate to check its effect on improving the system's natural frequencies. An element-based 2D generalized differential quadrature method recently developed solves this problem. This method divides the physical domain into simple domains (patching) and distributes a series of nodes on each patch (quadrature scheme). The motion equations of each patch are derived using Hamilton's principle. Next, the displacement and stress resultant continuity conditions are satisfied between common nodes. After that, the obtained global equations are solved, and the natural frequencies of such structures are calculated. After validating the response with the available literature, the influence of composite characteristics and geometry on the folded FGM lattice plate is distinguished.本研究测试了折叠对等栅格板自由振动响应的影响。假定斜肋和直肋由功能分级材料（FGM）构成格构板。通过采用基于剪切变形正交板的全局连续模型，计算整个板的刚度和质量。然后在板上创建宽度折叠，以检查其对改善系统固有频率的影响。最近开发的一种基于元素的二维广义微分正交方法解决了这一问题。该方法将物理域划分为多个简单域（补丁），并在每个补丁上分布一系列节点（正交方案）。利用汉密尔顿原理推导出每个补丁的运动方程。然后，在公共节点之间满足位移和应力结果连续性条件。之后，求解得到的全局方程，并计算出这种结构的固有频率。在根据现有文献对响应进行验证后，区分了复合材料特性和几何形状对折叠式 FGM 晶格板的影响。Behaviour and design of high strength steel circular hollow section member under pure torsionDevi Soibam Monika, Devi Sanasam Vipej, Singh Tekcham Gishandoi:10.1016/j.tws.2023.111387高强度钢圆形空心截面构件在纯扭力作用下的行为和设计The paper presents a detailed numerical investigation on the performance of high strength steel (HSS) circular hollow section (CHS) member subjected to pure torsion. Three grades of HSS, viz., S700, S900 and S1100, were considered in the study. Finite element (FE) models were initially developed and validated against the available test results. Further, the validated FE models were used for parametric study. Cross-sections of varying thickness and diameters, as well as HSS grades, were considered for the parametric study. The results generated from the parametric study were then utilised to assess the effect of steel grades on the torsional capacities and deformed shapes at ultimate and post-ultimate capacities. The effect of ratio of yield strength to ultimate ratio on the normalised member capacities has also been studied. Furthermore, the applicability of existing design equations for members subjected to pure torsion have been assessed against the FE generated member capacities. Based on the analysis, most of design predictions outlined in European and American Standards, as well as those proposed by various researchers were found unsuitable for design of HSS CHS under torsion. Hence, two modified design equations based on continuous strength method and direct strength method has been proposed. The modified design methods were found to predict more accurate and reliable torsional capacities.本文对高强度钢（HSS）圆形空心截面（CHS）构件在纯扭力作用下的性能进行了详细的数值研究。研究中考虑了三种等级的高强度钢，即 S700、S900 和 S1100。最初开发了有限元（FE）模型，并根据现有的测试结果进行了验证。此外，经过验证的有限元模型还被用于参数研究。参数研究考虑了不同厚度和直径的横截面以及不同等级的高速钢。然后利用参数研究得出的结果来评估钢材等级对极限和后极限扭转能力和变形形状的影响。此外，还研究了屈服强度与极限比率对归一化构件承载力的影响。此外，还根据 FE 生成的构件承载力评估了现有的纯扭转构件设计方程式的适用性。根据分析结果，发现欧洲和美国标准中概述的大多数设计预测以及不同研究人员提出的设计预测都不适合在扭转情况下设计 HSS CHS。因此，我们提出了基于连续强度法和直接强度法的两种修正设计公式。结果发现，修改后的设计方法能预测更准确、更可靠的抗扭能力。来源：复合材料力学仿真Composites FEM