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【新文速递】2023年11月28日固体力学SCI期刊最新文章

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今日更新:Journal of the Mechanics and Physics of Solids 1 篇,International Journal of Plasticity 2 篇,Thin-Walled Structures 2 篇

Journal of the Mechanics and Physics of Solids

Finding Transition State and Minimum Energy Path of Bistable Elastic Continua through Energy Landscape Explorations

Guangchao Wan, Samuel J. Avis, Zizheng Wang, Xueju Wang, Halim Kusumaatmaja, Teng Zhang

doi:10.1016/j.jmps.2023.105503

通过能量景观探索寻找双稳态弹性连续体的过渡态和最小能量路径

Mechanical bistable structures have two stable equilibria and can transit between them under external stimuli. Due to their unique behaviors such as snap-through and substantial shape changes, bistable structures exhibit unprecedented properties compared to conventional structures and thus have found applications in various fields such as soft robots, morphing wings and logic units. To quantitatively predict the performance of bistable structures in these applications, it is desirable to acquire information about the minimum energy barrier and an energy-efficient transition path between the two stable states. However, there is still a general lack of efficient methodologies to obtain this information, particularly for elastic continua with complicated, unintuitive transition paths. To overcome this challenge, here we integrate energy landscape exploration algorithms into finite element method (FEM). We first utilize the binary image transition state search (BITSS) method to identify the saddle point and then perform nudged elastic band (NEB) calculations with initial guess based on the BITSS results to find the minimum energy path (MEP). This integrated strategy greatly helps the convergence of MEP calculations, which are highly nonlinear. Two representative cases are studied, including bistable buckled beams and a bistable unit of mechanical metamaterials, and the numerical results agree well with the previous works. Importantly, we numerically predict the complicated MEP of an asymmetric bistable unit of mechanical metamaterials and use experiments to demonstrate that following this MEP leads to successful transition between stable states while intuitive uniaxial compression fails to do so. Our work provides an effective numerical platform for identifying the minimum energy barrier and energy-efficient transition path of a bistable continuum, which can offer valuable guidance to the design of actuators, damping structures, energy harvesters, and mechanical metamaterials.

机械双稳态结构具有两个稳定的平衡点,并能在外部刺 激下在两个平衡点之间转换。与传统结构相比,双稳态结构因其独特的行为(如快速穿透和大幅形状变化)而表现出前所未有的特性,并因此在软机器人、变形翅膀和逻辑单元等多个领域得到应用。为了定量预测双稳态结构在这些应用中的性能,最好能获得有关最小能量障碍和两个稳定状态之间的高能效过渡路径的信息。然而,目前仍然普遍缺乏获取这些信息的有效方法,特别是对于过渡路径复杂、不直观的弹性连续体。为了克服这一难题,我们在此将能量景观探索算法集成到有限元法(FEM)中。我们首先利用二元图像转换态搜索(BITSS)方法确定鞍点,然后根据 BITSS 的结果,利用初始猜测进行裸弹带(NEB)计算,以找到最小能量路径(MEP)。这种综合策略大大有助于高度非线性的 MEP 计算的收敛。我们研究了两种具有代表性的情况,包括双稳态屈曲梁和机械超材料的双稳态单元,数值结果与之前的研究结果非常吻合。重要的是,我们从数值上预测了机械超材料非对称双稳态单元的复杂 MEP,并通过实验证明,遵循这一 MEP 可以成功实现稳定状态之间的转换,而直观的单轴压缩则无法实现这一转换。我们的工作为确定双稳态连续体的最小能量障碍和高能效过渡路径提供了有效的数值平台,可为致动器、阻尼结构、能量收集器和机械超材料的设计提供有价值的指导。


International Journal of Plasticity

The effect of electric current on dislocation activity in pure aluminum: a 3D discrete dislocation dynamics study

Zhutian Xu, Xia'nan Li, Rui Zhang, Jun Ma, Diankai Qiu, Linfa Peng

doi:10.1016/j.ijplas.2023.103826

电流对纯铝中位错活动的影响:三维离散位错动力学研究

Introducing electric current into metals and alloys to improve their ductility and to reduce the hardening tendency has been widely adopted. Nevertheless, how the electricity affects the plastic deformation of those materials remains a critical issue with controversial opinions. To clarify the material plastic deformation subjected to electric current, or the so-called electroplastic behavior, an in-depth understanding of the dislocation evolution during that process is vital. From that motivation, three-dimensional dislocation dynamics simulations were carried out to explore the dislocation behavior during the uniaxial tensile deformation of pure aluminum with the introduction of electric current. The scattering process between electrons and dislocations was first captured by a physical model. The electron wind force and local heat effect were quantitatively analyzed by figuring out the momentum and the energy transferred during the interaction of electrons and dislocations respectively. The dislocation density evolution, the activation of different slip systems and the dislocation distribution were further analyzed based on the simulations. The dislocation density in the [111] direction is revealed to increase more significantly than [101] and [001] directions with the introduction of electric current. The results show that the current can reduce the flow stress by promoting the activation of the difficult-to-move dislocations. The activation effect reduces the dislocation tangling tendency and leads to more uniform dislocation distribution. Therefore, a reduction of the flow stress can be observed in EAT comparing to TAT, via the discrete dislocation dynamics simulations even though the dislocation densities are similar. The simulation results are also confirmed by the EAT and TAT experiment results and TEM observations.

将电流引入金属和合金以提高其延展性并减少硬化趋势已被广泛采用。然而,电流如何影响这些材料的塑性变形仍是一个关键问题,众说纷纭。要弄清材料在电流作用下的塑性变形,即所谓的电塑性行为,深入了解这一过程中的位错演变至关重要。基于这一动机,我们进行了三维位错动力学模拟,以探索纯铝在引入电流的单轴拉伸变形过程中的位错行为。首先通过物理模型捕捉了电子和位错之间的散射过程。通过计算电子和位错相互作用过程中传递的动量和能量,分别定量分析了电子风力和局部热效应。在模拟的基础上,进一步分析了位错密度的演变、不同滑移系统的激活以及位错的分布。结果表明,引入电流后,[111]方向的位错密度比[101]和[001]方向增加得更明显。结果表明,电流能促进难以移动的位错活化,从而降低流动应力。激活效应降低了位错的缠结趋势,并使位错分布更加均匀。因此,通过离散位错动力学模拟可以观察到,即使位错密度相似,EAT 的流动应力也比 TAT 小。模拟结果也得到了 EAT 和 TAT 实验结果和 TEM 观察结果的证实。


Evolution of recrystallization texture in medium to low stacking fault energy alloys: Experiments and simulations

Gyan Shankar, Voolapalli Gayatri, Luis A. Barrales-Mora, S. Suwas

doi:10.1016/j.ijplas.2023.103827

中低堆积断层能合金的再结晶纹理演变:实验与模拟

The present work aims to investigate the evolution of static recrystallization microstructure and texture in medium to low stacking fault energy (SFE) alloys. In these categories of materials, the process of recrystallization becomes complex because of the presence of extensive deformation heterogeneity. Ni-xCo (40 and 60 wt.% Co) alloy has been chosen for this purpose, where Ni-40Co belongs to medium SFE, and Ni-60Co belongs to low SFE regimes. The effect of solid solution strengthening and deformed microstructural features on the mechanism of recrystallization are explored. Both the alloys were subjected to 50% cold-rolling reduction followed by isothermal annealing at 600°C. Recrystallization texture of Ni-40Co shows a non-uniform α-fibre having a peak intensity at the Goss component, whereas Ni-60Co shows uniform α-fibre texture. Both the alloys also show rotated cube (Rt C) and rotated Cu (Rt Cu) components after recrystallization. Apart from that Ni-60Co exhibits brass recrystallization (BR) texture component. The differences in the recrystallization texture in both the Ni-Co alloys are attributed to the role of different heterogeneous deformation features in the microstructure and transition from Cu-type to Bs-type as-deformed texture. The recrystallization microstructure is dominated by the formation of substantial annealing twin (Σ3) boundaries, which also produces many new orientations; thereby weaken the recrystallization texture. These experimental findings and the proposed mechanism were used as input to simulate the recrystallization microstructure and texture in the alloy using the parallelized cellular automata (CA) technique. Parallelized CA model has successfully predicted the evolution of recrystallization texture and microstructure through simulation except parallel annealing twin feature.

本研究旨在探讨中低堆积断层能(SFE)合金中静态再结晶微观结构和纹理的演变。在这类材料中,由于存在广泛的变形异质性,再结晶过程变得复杂。为此选择了镍-钴(40 和 60 wt.%钴)合金,其中镍-40钴属于中堆错能合金,镍-60钴属于低堆错能合金。研究探讨了固溶强化和变形微观结构特征对再结晶机制的影响。两种合金都经过 50%的冷轧还原,然后在 600°C 等温退火。镍-40钴的再结晶纹理显示出不均匀的α-纤维,其峰值强度位于戈斯成分,而镍-60钴则显示出均匀的α-纤维纹理。这两种合金在再结晶后还显示出旋转立方(Rt C)和旋转铜(Rt Cu)成分。除此之外,Ni-60Co 还显示出黄铜再结晶 (BR) 纹理成分。两种镍钴合金再结晶纹理的差异归因于微观结构中不同的异质变形特征以及从 Cu 型到 Bs 型变形纹理的过渡。再结晶微观结构主要由大量退火孪晶(Σ3)边界的形成所主导,同时也产生了许多新的取向,从而削弱了再结晶纹理。这些实验结果和所提出的机制被用作输入,利用并行化细胞自动机(CA)技术模拟合金中的再结晶微观结构和纹理。除平行退火孪生特征外,平行化 CA 模型通过模拟成功预测了再结晶纹理和显微组织的演变。


Thin-Walled Structures

Experimental and PDDO-based meshfree numerical study on ductile fracture behavior of steel plate

Liu Fan, Hu Yu-meng, Xu Yi-gang, Feng Guo-qing

doi:10.1016/j.tws.2023.111424

钢板韧性断裂行为的实验和基于 PDDO 的无网格数值研究

This paper presents a meshfree approach based on the coupling of peridynamic differential operator (PDDO) and continuum mechanics to predict the ductile fracture of the steel plates. The interpolation function of particles for a shell model is established by applying the PDDO in the 2D case. The weak form of the kinetic equations is derived by discretizing the motion variables. The Gurson-Tvergaard-Needleman (GTN) constitutive model is adopted to characterize the plasticity and ductile fracture behavior of material, in which the material parameters are determined by conducting uniaxial tensile tests and scanning electron microscope analysis. The ductile fracture test of the EH36 steel plate with a prefabricated crack is conducted to validate the proposed numerical approach. The results show that the established meshfree shell model is able to accurately simulate the bearing capacity, crack propagation rate, and ductile fracture characteristics of the structure.

本文提出了一种基于周动态微分算子(PDDO)和连续介质力学耦合的无网格方法,用于预测钢板的韧性断裂。通过在二维情况下应用 PDDO,建立了壳模型的粒子插值函数。通过对运动变量进行离散化,得出了动力学方程的弱形式。采用 Gurson-Tvergaard-Needleman(GTN)构成模型来表征材料的塑性和韧性断裂行为,其中材料参数是通过单轴拉伸试验和扫描电子显微镜分析确定的。对带有预制裂纹的 EH36 钢板进行了韧性断裂试验,以验证所提出的数值方法。结果表明,所建立的无网格壳模型能够准确模拟结构的承载能力、裂纹扩展速率和延性断裂特征。


Investigation on shear and fatigue performance of CFRP/aluminum alloy single-lap adhesive joint

Liming Duan, Wei Liang, Yongai Hou, Dayong Wang, Junjia Cui, Guangyao Li, Hao Jiang

doi:10.1016/j.tws.2023.111421

CFRP/ 铝合金单层粘接接头的剪切和疲劳性能研究

The size parameter is quite significant for the performance of adhesive joint. In order to investigate the effect of size parameters on the mechanical property and failure behavior of CFRP/aluminum alloy adhesive single-lap joint, T300 CFRP laminate and AA5182 aluminum alloy sheet were bonded by Sika Power 497 structural adhesive under different size parameters. The quasi-static shear test and fatigue test were implemented, and the failure behavior and failure mechanism were analyzed. Results showed that the increase of aluminum alloy sheet thickness or bonding area length could effectively improve the bonding strength of adhesive joint, when the strength of the aluminum alloy sheet or the adhesive layer was insufficient. The shear failure modes of adhesive joint mainly included adhesive failure, base material failure and mixed failure. The fatigue failure modes of adhesive joint were mainly adhesive cohesion failure and adhesive adhesion failure. At low stress levels, the aluminum alloy sheet might fracture. In addition, this work can provide a scientific guidance for the engineering application of adhesive bonding technology.

尺寸参数对粘合剂接头的性能影响很大。为了研究尺寸参数对 CFRP/ 铝合金粘接单搭接接头力学性能和失效行为的影响,采用西卡 Power 497 结构胶在不同尺寸参数下粘接了 T300 CFRP 层压板和 AA5182 铝合金板。进行了准静态剪切试验和疲劳试验,分析了失效行为和失效机理。结果表明,当铝合金板材或粘合剂层强度不足时,增加铝合金板材厚度或粘合区域长度可有效提高粘合接头的粘合强度。粘接接头的剪切失效模式主要包括粘接失效、基材失效和混合失效。胶接件的疲劳失效模式主要是胶粘剂内聚失效和胶粘剂粘合失效。在低应力水平下,铝合金板可能会断裂。此外,这项工作还能为粘合剂粘接技术的工程应用提供科学指导。




来源:复合材料力学仿真Composites FEM
ACTMechanicalSystemDeform疲劳断裂非线性电子ADS裂纹材料机器人试验
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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23日固体力学SCI期刊最新文章

今日更新:International Journal of Solids and Structures 2 篇,Journal of the Mechanics and Physics of Solids 1 篇,Mechanics of Materials 1 篇,International Journal of Plasticity 1 篇,Thin-Walled Structures 1 篇International Journal of Solids and StructuresFrictionless line-to-line contact: Comparison of mortar and unbiased formulation in combination with Lagrange-multiplier and penalty methodTomec Jan, Jelenić Gordandoi:10.1016/j.ijsolstr.2023.112586无摩擦线对线接触:结合拉格朗日乘法器和惩罚法的砂浆和无偏公式比较Recent developments in the beam-to-beam contact mechanics have prompted us to investigate further into the relations between different formulations and contact-force models. Specifically we address in this paper the recently developed mortar method for beams and develop its variant based on the penalty method. This allows an in-depth comparison between the two formulations. Furthermore, we design an unbiased approach and introduce a new discretisation technique developed specifically for this method. The unbiased line-to-line method is also combined both with the Lagrange-multiplier and the penalty method. All developed elements have been tested using the same examples to provide an objective comparison between formulations in terms of robustness and computational cost.梁对梁接触力学的最新发展促使我们进一步研究不同公式和接触力模型之间的关系。具体而言,我们在本文中讨论了最近开发的梁灰泥法,并根据惩罚法开发了其变体。这样,我们就可以对两种公式进行深入比较。此外,我们还设计了一种无偏方法,并引入了专门为该方法开发的新离散化技术。无偏线对线方法还与拉格朗日乘法器和惩罚法相结合。我们使用相同的示例对所有开发的元素进行了测试,以便在鲁棒性和计算成本方面对各种公式进行客观比较。Improved deep artificial neural network-powered prediction of extreme mechanical performances of fractal architectures with high hierarchical rankViet N.V., Ilyas S., Zaki W.doi:10.1016/j.ijsolstr.2023.112591由深度人工神经网络驱动的高分层等级分形结构极端力学性能的改进预测This work explores the mechanical performances, including anisotropy, wave propagation, and buckling resistance capability of the Menger sponge and Jerusalem fractal structures, with the high rank, using an improved deep artificial neural network (ANN) model inserted by a loop with multiple conditions. Where, the effective mechanical attributes, including Young’s modulus, shear modulus, and Poisson’s ratio of the Menger sponge structure with rank 4 are attained using high-performance computer cluster (HPCC) that are then used to train and also validate the ANN model. The accuracy of the deep ANN model trained by data of fractal structures with and without rank 4 is verified by the numerical model and experiment with the good agreement found or the maximum percent difference being 15.6% where the numerical and experimental data don’t belong to its training samples. Remarkably, the deep ANN model demonstrates an extremely low cost, but very fast compared with the numerical and experimental works. Namely, the improved deep ANN model implemented by a regular computer can accurately predict the mechanical attributes of Menger sponge fractal structures with full ranks in 3 minutes. While it takes a week for numerical work using HPCC or experiment method to produce the same mechanical properties of the Menger sponge with only rank 4, displaying at least thousands of times slower than the ANN model. The ANN results indicate that the onset of anisotropy of considered fractal structures is from rank 1, and the reversal of anisotropy will take place upon an increase in the rank while such reversal is not seen for the case of lattice structure. The anisotropy reversal could be one of main reasons why the fractal structure tends to have a high rank in nature. In addition, the buckling stress and phase wave velocity are observed to decrease with rising rank, with a nonlinear pattern.这项研究利用一个改进的深度人工神经网络(ANN)模型,通过一个具有多个条件的循环,探索了高阶门格尔海绵和耶路撒冷分形结构的力学性能,包括各向异性、波传播和抗屈曲能力。其中,利用高性能计算机集群(HPCC)获得了等级为 4 的门格尔海绵结构的有效力学属性,包括杨氏模量、剪切模量和泊松比,然后用于训练和验证 ANN 模型。通过数值模型和实验验证了由有无秩 4 的分形结构数据训练出的深度 ANN 模型的准确性,结果表明,在数值数据和实验数据不属于其训练样本的情况下,两者的一致性良好,最大百分比差异为 15.6%。值得注意的是,与数值和实验结果相比,深度 ANN 模型成本极低,但速度极快。也就是说,用普通计算机实现的改进型深度 ANN 模型可以在 3 分钟内准确预测门格尔海绵分形结构的全等级力学属性。而使用 HPCC 或实验方法进行数值计算需要一周时间才能得出只有 4 级的门格尔海绵的相同力学属性,比 ANN 模型至少慢数千倍。方差分析结果表明,所考虑的分形结构的各向异性是从阶 1 开始的,阶数增加时各向异性会发生逆转,而晶格结构则不会发生这种逆转。各向异性反转可能是分形结构倾向于具有高秩的主要原因之一。此外,还观察到屈曲应力和相位波速随着阶数的增加而减小,呈现非线性模式。Journal of the Mechanics and Physics of SolidsLessons learned from matching 3D DEM and experiments at macro, meso and fabric scales for triaxial compression tests on lentilsPan Jin-hong, Pinzón Gustavo, Wang Rui, Andò Edward, Viggiani Gioacchino, Zhang Jian-Mindoi:10.1016/j.jmps.2023.105494将三维 DEM 与小扁豆三轴压缩试验的宏观、中观和织物尺度试验相匹配,从中汲取经验教训A series of discrete element method (DEM) triaxial compression simulations on specimens of an anisometric granular material starting from distinct initial fabric anisotropy states are conducted and compared with physical experiments on lentils at different scales, assisted by operando x-ray tomography measurements. A quantitative reproduction of the group of experimental results is achieved by appropriate idealization and determination of particle shape, boundary conditions, contact parameters, and initial state. The reliability of DEM in quantitative representation of macro scale stress–strain response, meso scale strain localization, and micro scale fabric anisotropy evolution is thus comprehensively validated against measurements from physical experiments, which is a step forward from comparisons only at the macro or particle kinematics level. Several key factors that govern realistic DEM simulations are also identified. The friction coefficient between particles during specimen generation, particle shape, and specimen preparation method can significantly affect the initial state of DEM specimens. Differences in initial state at macro and micro scales and boundary conditions can strongly influence the stress–strain response. However, the evolution of fabric anisotropy appears to be insensitive to changes in initial state and boundary conditions.在 X 射线断层扫描测量的辅助下,对从不同的初始结构各向异性状态开始的异性颗粒材料试样进行了一系列离散元法(DEM)三轴压缩模拟,并与不同尺度的扁豆物理实验进行了比较。通过对颗粒形状、边界条件、接触参数和初始状态的适当理想化和确定,实现了一组实验结果的定量再现。因此,DEM 在定量表示宏观尺度应力应变响应、中观尺度应变定位和微观尺度织物各向异性演变方面的可靠性得到了物理实验测量结果的全面验证,这比仅在宏观或颗粒运动学层面进行比较向前迈进了一步。此外,还确定了影响真实 DEM 模拟的几个关键因素。试样生成过程中颗粒之间的摩擦系数、颗粒形状和试样制备方法都会对 DEM 试样的初始状态产生重大影响。宏观和微观尺度上初始状态的差异以及边界条件会对应力-应变响应产生重大影响。然而,织物各向异性的演变似乎对初始状态和边界条件的变化并不敏感。Mechanics of MaterialsEffect of temperature on adhesion behavior of layered piezoelectric structureLuo Qing-Hui, Zhou Yue-Ting, Li Fengjun, Wang Lihuadoi:10.1016/j.mechmat.2023.104870温度对层状压电结构粘附行为的影响The effect of temperature on adhesion is neglected in classical adhesive contact theories. However, an increasing number of experimental results indicate that temperature has a prominent effect on adhesion behaviors. In this study, the anisothermal adhesive contact behaviors between two transversely isotropic piezoelectric cylinders with different initial temperatures is investigated by virtue of the generalized JKR model, where the contact interface is assumed to be perfectly bonded. The considered problem is reduced to coupled singular integral equations, which is derived by using the Fourier integral transform. The closed-form solutions of anisothermal generalized stress fields are obtained by taking the series expansion of the integrand induced by temperature difference. The effect of temperature difference on adhesion behaviors of two different types of layered piezoelectric structures under the action of mechanical-electro loadings is revealed. It is found that the pull-off force and contact size at pull-off moment decrease with increasing the temperature difference. The adhesion weakening effect induced by temperature difference diminishes when the electric loading is exerted. The results derived from this paper shed lights on understanding the adhesive contact behaviors of piezoelectric materials in the presence of temperature difference.经典的粘合接触理论忽略了温度对粘合力的影响。然而,越来越多的实验结果表明,温度对粘附行为有显著影响。在本研究中,通过广义 JKR 模型研究了两个具有不同初始温度的横向各向同性压电圆柱体之间的等温粘附接触行为,其中假定接触界面是完全粘合的。所考虑的问题被简化为耦合奇异积分方程,并通过傅立叶积分变换得到。通过对温差引起的积分进行序列展开,得到了等温广义应力场的闭式解。揭示了温差对两种不同类型的层状压电结构在机械电子负载作用下的粘附行为的影响。研究发现,拉脱力和拉脱时刻的接触尺寸随温差的增大而减小。施加电加载时,温差引起的附着力减弱效应减弱。本文得出的结果有助于理解压电材料在温差作用下的粘附接触行为。International Journal of PlasticityA generalized, computationally versatile plasticity model framework - Part I: Theory and verification focusing on tension‒compression asymmetryHou Yong, Du Kai, Min Junying, Lee Hyung-Rim, Lou Yanshan, Park Namsu, Lee Myoung-Gyudoi:10.1016/j.ijplas.2023.103818通用的、可计算的塑性模型框架--第一部分:以拉伸-压缩不对称为重点的理论与验证Microstructural characteristics and complex loading conditions in the deformation of metallic materials lead to complexity in mechanical responses. In this study, we propose a generalized constitutive framework that reproduces the plastic anisotropy and asymmetry under various loading conditions. Particularly, the developed model can accurately capture distinctive flow stress, plastic flow and strain hardening between tensile and compressive dominant loadings under a wide range of stress states. The model is based on the stress triaxiality dependence of state variable (or weighting factor) newly incorporated in the existing plasticity theory to keep the computational efficiency and versatility. For example, the new generalized framework can be applied to widely employed Hill48, Yld2k-2d, and Poly6 as a class of associated flow rule-based yield functions, as well as Stoughton-Yoon2009 and Min2016 yield functions for the non-associated flow rule. Also, the model is adaptable when selecting the yield function under tension or compression, which efficiently controls the degree of accuracy in anisotropic modeling under tension and compression. The generalized plasticity framework is validated comprehensively by demonstrating the predictive capability for anisotropy in yield stress and plastic flow of metallic materials with different crystal structures. Moreover, the model can efficiently capture the continuous evolution of asymmetric yield surfaces as functions of strain, temperature, and strain rate. Finally, the identification procedure of the model is discussed by demonstrating the analytical determination of model parameters utilizing the experimental or generic material data obtained from various loading conditions such as tension, compression, plane strain loading and pure shear.金属材料变形过程中的微观结构特征和复杂的加载条件导致了机械响应的复杂性。在本研究中,我们提出了一种通用的构成框架,它能再现各种加载条件下的塑性各向异性和不对称。特别是,所开发的模型能在广泛的应力状态下准确捕捉拉伸和压缩主导载荷之间独特的流动应力、塑性流动和应变硬化。该模型基于现有塑性理论中新加入的状态变量(或权重因子)的应力三轴依赖性,以保持计算效率和通用性。例如,新的广义框架可应用于广泛采用的基于关联流动规则的 Hill48、Yld2k-2d 和 Poly6 屈服函数,以及非关联流动规则的 Stoughton-Yoon 2009 和 Min2016 屈服函数。此外,该模型在选择拉伸或压缩下的屈服函数时具有适应性,可有效控制拉伸和压缩下各向异性建模的精确度。通过展示不同晶体结构金属材料屈服应力和塑性流动各向异性的预测能力,全面验证了广义塑性框架。此外,该模型还能有效捕捉非对称屈服面作为应变、温度和应变率函数的连续演化。最后,通过演示利用从拉伸、压缩、平面应变加载和纯剪切等各种加载条件下获得的实验或通用材料数据分析确定模型参数的过程,讨论了模型的识别程序。Thin-Walled StructuresMagneto-thermo-elastic Coupled Free Vibration and Nonlinear Frequency Analytical Solutions of FGM Cylindrical ShellHu Yuda, Zhou Qi, Yang Taodoi:10.1016/j.tws.2023.111406FGM 圆柱壳的磁热弹耦合自由振动和非线性频率解析解The magneto-thermo-elastic coupled free vibration of functionally graded materials (FGM) cylindrical shell is investigated. Based on the physical neutral surface theory and Kirchhoff-Love theory, the expressions of internal force and internal torque are obtained by considering the constitutive relationship that includes thermal stress. According to the electromagnetic elasticity theory, the model of Lorentz forces of the shell in magnetic field are derived. The expressions of potential energy, kinetic energy and its variational operators are given by introducing geometric nonlinearity, respectively. Based on Hamilton principle, the magneto-thermal-elastic coupled vibration equation of FGM cylindrical shell in multi-physical field is established. The displacement functions under simply supported boundary conditions are solved, which are combined with Galerkin method for derivation of nonlinear ordinary differential equations. The second-order approximate analytical solution of natural frequency is obtained by applying the multi-scale method. The characteristic curves of natural frequency with different parameters are drawn through numerical examples. The results show that reducing the volume fraction index and increasing the initial amplitude can lead to the increase of the natural frequency under transient conditions. With the increase of temperature and magnetic induction intensity, the natural frequency decreases. In addition, the natural frequency is also influenced by the shell size and volume fraction index.研究了功能分级材料(FGM)圆柱形壳体的磁热弹性耦合自由振动。基于物理中性面理论和基尔霍夫-洛夫理论,通过考虑包含热应力的构成关系,得到了内力和内扭矩的表达式。根据电磁弹性理论,推导出了磁场中壳体的洛伦兹力模型。通过引入几何非线性,分别给出了势能、动能及其变分算子的表达式。基于汉密尔顿原理,建立了 FGM 圆柱壳在多物理场中的磁-热-弹性耦合振动方程。求解了简单支撑边界条件下的位移函数,并结合 Galerkin 方法推导出非线性常微分方程。应用多尺度法得到了固有频率的二阶近似解析解。通过数值实例绘制了不同参数下的固有频率特征曲线。结果表明,在瞬态条件下,减小体积分数指数和增大初始振幅可导致固有频率的增加。随着温度和磁感应强度的增加,固有频率降低。此外,固有频率还受到壳体尺寸和体积分数指数的影响。来源:复合材料力学仿真Composites FEM

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