今日更新:International Journal of Solids and Structures 1 篇,Journal of the Mechanics and Physics of Solids 1 篇,International Journal of Plasticity 2 篇,Thin-Walled Structures 6 篇
Whip-Bezier: a C1-Continuous Hardening Law for Efficient Direct and Inverse Identification
Emmanouil Sakaridis, Paul P. Meyer, Christian C. Roth, Dirk Mohr
doi:10.1016/j.ijsolstr.2023.112616
Whip-Bezier:用于高效直接和反向识别的 C1 连续硬化法
In 3D constitutive models, the hardening law is an essential model ingredient that has a first order effect on the predicted stress-strain response. In most phenomenological plasticity models, the hardening law coincides with the stress-strain curve for monotonic uniaxial loading. When identifying the hardening law for large strains through hybrid experimental-numerical approaches, the numerical properties of the hardening law play an important role. Here, we propose a novel piecewise-defined hardening law based on a composition of quadratic Bezier curve segments. The Whip-Bezier formulation preserves C1 continuity and achieves a parametrization with less parameters than its piecewise-linear counterpart. Both the possibility of identifying the hardening parameters in a decoupled optimization (e.g. from in-plane torsion experiments) and the use of a fully-coupled identification scheme (e.g. from notched tension experiments) are detailed. When contrasted with widely-used analytical expressions, the Whip-Bezier model consistently demonstrates enhanced performance with increasing number of parameters. This improvement comes with minimal statistical variance and reduced dependence on the initial optimization guess. Furthermore, the fitting quality is at least equivalent to that of the Swift-Voce hardening law with the same number of parameters.
在三维结构模型中,硬化定律是模型的基本要素,对预测的应力-应变响应具有一阶影响。在大多数现象塑性模型中,硬化规律与单调单轴加载的应力-应变曲线相吻合。在通过实验-数值混合方法确定大应变的硬化规律时,硬化规律的数值特性起着重要作用。在此,我们提出了一种基于二次贝塞尔曲线段组成的新型片断定义硬化定律。Whip-Bezier 公式保留了 C1 连续性,与片断线性公式相比,参数更少。本文详细介绍了在解耦优化(例如从平面内扭转实验中)和全耦合识别方案(例如从缺口拉伸实验中)中识别硬化参数的可能性。与广泛使用的分析表达式相比,随着参数数量的增加,Whip-Bezier 模型的性能不断提高。这种改进具有最小的统计方差,并降低了对初始优化猜测的依赖性。此外,在参数数量相同的情况下,拟合质量至少与 Swift-Voce 硬化定律相当。
Validating Continuum Theory for Cottrell Atmosphere Solute Drag by Molecular Dynamics Simulations
C. Nowak, X.W. Zhou, R.B. Sills
doi:10.1016/j.jmps.2023.105514
通过分子动力学模拟验证科特雷尔大气溶质阻力连续理论
When a dislocation moves through a field of mobile solute atoms, solutes segregate to the dislocation and form Cottrell atmospheres which exert solute drag forces. Over the last 70 years, continuum theory has been used extensively to estimate these drag forces and their dependence on the dislocation velocity, however few prior works have validated the accuracy of continuum theories. In this work, molecular dynamics (MD) simulations of dislocation motion in face-centered cubic Ni containing interstitial H atoms were performed in order to test the accuracy of continuum theory predictions. Our results demonstrate that continuum theory provides an accurate estimate of the solute drag force for velocities below the critical velocity at which the solute drag force is maximized. Above the critical velocity, continuum theory systematically deviates from MD. Additional analysis reveals that this deviation results from the multi-valued and unstable nature of solute drag under load control, and also from the transition to random solute drag which occurs at high velocities.
当一个位错在移动溶质原子场中移动时,溶质会分离到位错并形成科特雷尔大气,从而产生溶质阻力。在过去的 70 年中,连续介质理论被广泛用于估算这些阻力及其与差排速度的关系,但很少有研究验证连续介质理论的准确性。在这项研究中,我们对含有间隙 H 原子的面心立方镍中的位错运动进行了分子动力学(MD)模拟,以检验连续理论预测的准确性。我们的结果表明,在溶质拖曳力达到最大值的临界速度以下,连续统理论能准确估计溶质拖曳力。在临界速度以上,连续理论系统地偏离了 MD。额外的分析表明,这种偏差是由于载荷控制下溶质阻力的多值性和不稳定性,以及高速时向随机溶质阻力的过渡造成的。
An innovative quasi-bond approach to bridge continuity, anisotropic damage and macroscopic fracture of solids and structures
Wei-Jian Li, Qi-Zhi Zhu
doi:10.1016/j.ijplas.2023.103829
用创新的准结合方法解决固体和结构的桥梁连续性、各向异性损伤和宏观断裂问题
Spontaneous formation and evolution of discontinuities in solid media still poses one of the significant challenges in solid mechanics and computational mechanics. To facilitate numerical modeling, a new model called herein ‘quasi-bond’ model is proposed, which redefines the form of local interaction between material particles. Unlike traditional discrete methods that require direct connections between material particles, in this quasi-bond method, only one end of each bond is actually connected to a material particle, rendering great flexibility in describing bond distribution and anisotropic damage by bond breakage. Homogenization of solid body can be performed by an integral over quasi-bonds, while the process of crack nucleation, propagation and coalescence to form fracture is simulated through bond breakage. Especially, the relationship between material elastic constants and bond stiffness parameter is established in both two- and three-dimensional contexts. Furthermore, a smoothed strain-based fracture description is proposed with the ability of eliminating particle density/distribution dependence problems. Finally, several benchmark tests are conducted to demonstrate the efficiency and accuracy of the proposed approach in solving elasticity and fracture problems.
固体介质中不连续面的自发形成和演变仍然是固体力学和计算力学的重大挑战之一。为了方便数值建模,本文提出了一种新的模型,即 "准键 "模型,它重新定义了材料颗粒之间的局部相互作用形式。与要求材料颗粒之间直接连接的传统离散方法不同,在这种准键方法中,每个键的一端实际上只与材料颗粒相连,从而在描述键的分布和键断裂造成的各向异性损伤方面具有极大的灵活性。固体的均质化可以通过对准键的积分来实现,而裂纹的成核、扩展和凝聚形成断裂的过程则通过键的断裂来模拟。特别是,在二维和三维背景下,建立了材料弹性常数与结合刚度参数之间的关系。此外,还提出了一种基于平滑应变的断裂描述方法,该方法能够消除颗粒密度/分布相关性问题。最后,进行了几个基准测试,以证明所提出的方法在解决弹性和断裂问题时的效率和准确性。
Insights into flow stress and work hardening behaviors of a precipitation hardening AlMgScZr alloy: experiments and modeling
Xiang Chen, Han Chen, Siming Ma, Yanchi Chen, Jing Dai, Yves Bréchet, Gang Ji, Shengyi Zhong, Haowei Wang, Zhe Chen
doi:10.1016/j.ijplas.2023.103852
沉淀硬化 AlMgScZr 合金的流动应力和加工硬化行为透视:实验和建模
Flow stress and work hardening behaviors, as two important aspects of mechanical behaviors, have been studied extensively and their interpretation for the case of pure metals via dislocation theory is well established. The introduction of precipitates inevitably affects the flow stress and work hardening rate, since the precipitates can evidently change the dislocation behaviors, both their gliding facilities and their storage mechanisms. Thus, different precipitate-dislocation interaction modes (i.e. shearing and bypassing mechanisms) would lead to different dislocation behaviors and resultant different flow stress and work hardening behaviors. In this study, we investigate the influence of shearable, non-shearable and mixed shearable/non-shearable precipitates on flow stress and work hardening behaviors in the case of AlMgScZr alloys, where precipitates and solid solution can be decoupled, based on experiments and a modified dislocation-based model. We show that, the introduction of shearable precipitates and shearable/non-shearable transition have important effects on flow stress and work hardening behaviors. By quantitatively characterizing different precipitate-dislocation interactions and the evolution of dislocation density during the deformation, the intrinsic influencing mechanisms of precipitates on flow stress and work hardening behaviors are demonstrated.
流动应力和加工硬化行为作为力学行为的两个重要方面,已经得到了广泛的研究,并且通过位错理论对纯金属的流动应力和加工硬化行为进行了解释。析出物的引入不可避免地会影响流动应力和加工硬化率,因为析出物会明显改变位错行为,包括位错的滑行设施和储存机制。因此,不同的析出物-位错相互作用模式(即剪切和旁路机制)会导致不同的位错行为,从而产生不同的流动应力和加工硬化行为。在本研究中,我们基于实验和修改后的基于位错的模型,研究了可剪切、不可剪切和可剪切/不可剪切混合析出物对 AlMgScZr 合金的流动应力和加工硬化行为的影响。我们的研究表明,可剪切析出物的引入和可剪切/不可剪切转变对流动应力和加工硬化行为有重要影响。通过定量描述不同的析出物-位错相互作用以及位错密度在变形过程中的演变,证明了析出物对流动应力和加工硬化行为的内在影响机制。
A double-layer mesh-driven robust topology optimization strategy for mechanical metamaterials under size uncertainty
Zeshang Li, Lei Wang, Geng Xinyu
doi:10.1016/j.tws.2023.111439
尺寸不确定情况下机械超材料的双层网格驱动稳健拓扑优化策略
With the increasingly stringent functional requirement of advanced equipment, it is crucial to design materials and structures with special properties. Improving optimization efficiency and shortening the design cycle are widely concerned as important scientific issues. This paper proposes a novel double-layer mesh-driven robust topology optimization strategy for mechanical metamaterials under size uncertainty. A double-layer mesh technology that establishes a mapping relationship between structural response and sensitivity information is developed, which greatly improves computational efficiency. The influence of size uncertainty is considered in topology optimization, and the robust design of mechanical metamaterials is realized. Various metamaterial designs are realized by solving optimization models based on sensitivity information. These can provide technical support and design references for the engineering application of mechanical metamaterials.
随着对先进设备功能要求的日益严格,设计具有特殊性能的材料和结构至关重要。提高优化效率、缩短设计周期作为重要的科学问题受到广泛关注。本文针对尺寸不确定条件下的机械超材料,提出了一种新颖的双层网格驱动鲁棒拓扑优化策略。通过双层网格技术,建立了结构响应与灵敏度信息之间的映射关系,大大提高了计算效率。拓扑优化考虑了尺寸不确定性的影响,实现了机械超材料的鲁棒设计。通过求解基于灵敏度信息的优化模型,实现了各种超材料设计。这些可为机械超材料的工程应用提供技术支持和设计参考。
Impact responses of the steel-PU foam-concrete-tube multilayer energy absorbing panel: numerical and analytical studies
Xipeng Ma, Yonghui Wang, Ximei Zhai, Xudong Zhi, Huanan Xu
doi:10.1016/j.tws.2023.111468
钢-聚氨酯泡沫-混凝土管多层吸能板的冲击响应:数值和分析研究
The enhancement of structural protection can be achieved by using energy absorbing structures as sacrificial layers. In this study, a new steel-PU foam-concrete-tube multilayer energy absorbing panel (SFCTMEAP) is developed to improve the impact resistance of buildings and infrastructures, and its behaviour under impact loading is numerically and analytically studied. A Finite Element (FE) model is established using LS-DYNA to further study the behaviours of SFCTMEAP, and its results (including the failure mode, displacement–time and impact force–time curves) agree well with the test data. The SFCTMEAP presents a deformation mode of local indentation of the front energy absorbing layer, flexure of the steel-concrete-steel panel and collapse of PU foam-filled steel tubes (PUFSTs). The energy dissipations of variant components of the SFCTMEAP are obtained through the FE model and the PUFSTs is the main energy absorbing component. In addition, parametric studies are performed to obtain the influences of the impact location, initial momentum of impactor and thickness of PU foam panel on the response of SFCTMEAP. The results indicates that the specimen with larger impact eccentric distance dissipates less impact energy, and raising the initial momentum of the impactor is benefit to the energy dissipation by the PUFSTs. Moreover, an analytical model is developed to calculate the displacement history of SFCTMEAP under the impact loading. The displacement responses predicted by the analytical model are found to be in good agreement with the test results.
使用吸能结构作为牺牲层可以增强结构保护。本研究开发了一种新型钢-聚氨酯泡沫-混凝土管多层吸能板(SFCTMEAP),以提高建筑物和基础设施的抗冲击性能,并对其在冲击荷载下的行为进行了数值和分析研究。为进一步研究 SFCTMEAP 的行为,使用 LS-DYNA 建立了有限元(FE)模型,其结果(包括破坏模式、位移-时间和冲击力-时间曲线)与测试数据吻合良好。SFCTMEAP 的变形模式为前吸能层局部压入、钢-混凝土-钢面板弯曲和聚氨酯泡沫填充钢管(PUFST)坍塌。通过有限元模型获得了 SFCTMEAP 各部件的能量耗散,其中 PUFST 是主要的吸能部件。此外,还进行了参数研究,以获得撞击位置、撞击器初始动量和聚氨酯泡沫板厚度对 SFCTMEAP 响应的影响。结果表明,冲击偏心距越大的试样耗散的冲击能量越少,提高冲击器的初始动量有利于聚氨酯泡沫塑料板耗散能量。此外,还建立了一个分析模型来计算 SFCTMEAP 在冲击荷载下的位移历史。结果表明,分析模型预测的位移响应与试验结果十分吻合。
Fatigue fracture characteristics of normal concrete and high ductility geopolymer bonding based on DIC technique
Shan Li, Defeng Chen, Yiyan Lu, Zhenzhen Liu
doi:10.1016/j.tws.2023.111469
基于 DIC 技术的普通混凝土和高延性土工聚合物粘结的疲劳断裂特性
This study reveals the adhesive fatigue behavior of normal concrete (NC)–high-ductility geopolymer (HDG) interfaces. A digital image correlation (DIC) technique was employed to capture the fracture characteristics. The fatigue stress level (β) and interfacial inclination angle (α) are the variables used in this research. The failure mode of the NC–HDG bonding interface was affected by α, and gradually transformed from compression crushing to debonding. The HDG matrix ultimately remained relatively intact compared to NC owing to the bridging effect of the polyvinyl-alcohol (PVA) fibers. The NC–HDG bonding interfaces experience three-phase fracture development: crack initiation phase, stable crack propagation phase, and final rapid crack propagation phase. At the earlier 15%∼40% of the fatigue life, the microcrack was initiated rather than propagated. The stable crack propagation phase presented a stabilized fracture propagation rate for most of the fatigue life. The cracks finally propagated rapidly until failure. A high fatigue stress accelerates damage accumulation and causes a greater degree of damage. Moreover, through inspection, the fatigue life of the NC–HDG interfaces was proven to abide by the Weibull distribution. The existing fatigue model was adopted to predict the fatigue life of an NC–HDG interface under a preset fatigue stress level and reliability.
本研究揭示了普通混凝土(NC)-高韧性土工聚合物(HDG)界面的粘合疲劳行为。研究采用数字图像相关(DIC)技术捕捉断裂特征。疲劳应力水平(β)和界面倾斜角(α)是本研究使用的变量。NC-HDG 粘合界面的破坏模式受 α 的影响,并逐渐从压溃转变为脱粘。与 NC 相比,由于聚乙烯醇(PVA)纤维的桥接作用,HDG 基体最终保持相对完整。NC-HDG 粘合界面的断裂发展经历了三个阶段:裂纹起始阶段、稳定的裂纹扩展阶段和最终的快速裂纹扩展阶段。在疲劳寿命的 15%∼40%早期,微裂纹是萌发而不是扩展。稳定的裂纹扩展阶段在疲劳寿命的大部分时间里呈现出稳定的断裂扩展速率。最后,裂纹迅速扩展,直至破坏。高疲劳应力会加速损伤的累积,造成更大程度的损伤。此外,通过检测证明,NC-HDG 接口的疲劳寿命符合威布尔分布。采用现有的疲劳模型来预测 NC-HDG 接口在预设疲劳应力水平和可靠性下的疲劳寿命。
Characteristic analysis of bionic-induced structures with negative stiffness inspired by the growth and deformation differences of branches
Jundong Zhang, Ruiyao Liu, Xiang Li, Qing Cao, Zhiying Wang, Yunting Guo, Zhixin Liu, Qi Zhang, Zezhou Xu, Zhenglei Yu, Guofeng Yao, Luquan Ren
doi:10.1016/j.tws.2023.111437
受树枝生长和变形差异启发的负刚度仿生结构特征分析
Negative stiffness (NS) structures with curved beams easily experience beam fracture in small-scale designs, limiting their repeatability and energy absorption. The induced energy absorption structure (IEAS), which achieves negative stiffness by altering load transfer paths, is designed inspired by the growth and deformation of tree branches. By means of the variation method of geometric parameters, a unique asymmetric buckling deformation mode is realized in IEAS. The NS and energy absorption characteristics in IEAS are analyzed based on load distribution and major principal strain theory. Compression results demonstrate that the asymmetric buckling mode exhibits higher energy absorption and specific energy absorption compared to symmetric linear buckling, effectively improving structural toughness. Through gradient analysis of geometric parameters and comprehensive analysis of induced structure layouts, the asymmetric buckling mode is successfully implemented in multi-layer IEAS. The multi-layer IESA exhibits excellent ability of energy absorption and toughness, making it have potential applications in areas that require small-sized designs with high energy absorption capabilities.
在小规模设计中,带有弯曲梁的负刚度(NS)结构很容易发生梁断裂,从而限制了其可重复性和能量吸收能力。诱导能量吸收结构(IEAS)通过改变荷载传递路径实现负刚度,其设计灵感来源于树枝的生长和变形。通过几何参数的变化方法,IEAS 实现了独特的非对称屈曲变形模式。基于载荷分布和主要主应变理论,分析了 IEAS 的 NS 和能量吸收特性。压缩结果表明,与对称线性屈曲相比,非对称屈曲模式具有更高的能量吸收率和比能量吸收率,可有效提高结构韧性。通过几何参数梯度分析和诱导结构布局的综合分析,非对称屈曲模式在多层 IEAS 中得以成功实现。多层 IESA 表现出卓越的能量吸收能力和韧性,使其在需要高能量吸收能力的小型设计领域具有潜在的应用前景。
Free vibrations of axially loaded thin-walled shaft-disk rotors subjected to non-uniform temperature field
Yuan Song Cui, Yan Qing Wang
doi:10.1016/j.tws.2023.111461
轴向加载薄壁轴盘转子在非均匀温度场作用下的自由振动
Research on vibrations of shaft-disk rotors in non-uniform thermal field is essential for the design of rotating machinery. In this paper, the dynamic model of axially loaded thin-walled shaft-disk rotors in axial non-uniform temperature field is developed, considering three-dimensional displacement fields of the shaft and disk. This model introduces the temperature-dependent properties of materials, and gyroscopic and centrifugal effects. Based on the Euler-Bernoulli beam theory and the Kirchhoff plate theory, Lagrange's equation is used to derive the differential equations of motion. By comparing with the results of the existing reference and finite element results, the accuracy of the present model is verified. The effects of the axial displacement of shaft, temperature-dependent material property, temperature difference, temperature distribution, disk position and axial preload on the free vibration of shaft-disk rotors are discussed. Results show that the present model can effectively predict free vibrations of shaft-disk rotors in axial non-uniform temperature field. The effect of thermal field on vibrations of shaft-disk rotors is affected by the rotational speed and disk location as well.
研究非均匀热场中轴盘转子的振动对旋转机械的设计至关重要。本文建立了轴向加载薄壁轴盘转子在轴向非均匀温度场中的动态模型,考虑了轴和盘的三维位移场。该模型引入了材料随温度变化的特性以及陀螺效应和离心效应。基于欧拉-伯努利梁理论和基尔霍夫板理论,利用拉格朗日方程推导出运动微分方程。通过与现有参考结果和有限元结果的比较,验证了本模型的准确性。讨论了轴的轴向位移、与温度相关的材料特性、温差、温度分布、盘的位置和轴向预载对轴-盘转子自由振动的影响。结果表明,本模型能有效预测轴盘转子在轴向非均匀温度场中的自由振动。热场对轴盘转子振动的影响还受到转速和盘位置的影响。
A 3D distributed plasticity beam–column element for metal structures considering tangential stresses and warping with minimal DOFs
Domenico Magisano, Giovanni Garcea
doi:10.1016/j.tws.2023.111463
考虑最小 DOFs切向应力和翘曲的金属结构三维分布塑性梁柱元素
The fiber model evaluates the normal stress at a number of points over the section for a given strain increment following the plane section assumption and, by integration, axial force and bending moments. The interaction with tangential stresses is usually neglected at the point level due to the inaccurate tangential strains of the kinematics. This work proposes a generalization of the fiber model able to capture automatically the interaction among all stress components. A preliminary cross-section analysis based on the Saint Venant problem provides an accurate 3D strain as a function of the section generalized strains. This field, accurate also in the inelastic case, is exploited to impose at each section point a 3D von Mises elasto-plastic law, obtaining by integration all the resultants and moments with a full interaction. Non-uniform warping is also easily included. The section model is implemented in a mixed 3D beam–column finite element with equilibrated stress field, accurate with a minimal mesh. Numerical tests show the excellent prediction of the proposal compared to analytical and solid FEM solutions also for structures not flexure-dominated. Its efficiency, on the same order as a standard fiber model, makes the approach suitable also for large buildings.
纤维模型根据平面截面假设,在给定应变增量下评估截面上若干点的法向应力,并通过积分评估轴力和弯矩。由于运动学切向应变的不准确性,与切向应力的相互作用通常在点一级被忽略。本研究提出了一种纤维模型的通用方法,能够自动捕捉所有应力成分之间的相互作用。基于 Saint Venant 问题的初步截面分析提供了精确的三维应变,作为截面广义应变的函数。这个场在非弹性情况下也是精确的,利用它可以在每个截面点上施加三维 von Mises 弹性法则,通过积分获得具有全面相互作用的所有结果和力矩。非均匀翘曲也很容易包括在内。截面模型是在具有平衡应力场的三维梁柱混合有限元中实现的,只需最小的网格即可精确计算。数值测试表明,与分析和实体有限元解法相比,该方案对非挠曲主导结构的预测效果极佳。该方法的效率与标准纤维模型相同,因此也适用于大型建筑。