首页/文章/ 详情

【新文速递】2024年6月17日固体力学SCI期刊最新文章

2小时前浏览16

 

今日更新:International Journal of Solids and Structures 2 篇,Journal of the Mechanics and Physics of Solids 1 篇,Thin-Walled Structures 7 篇

International Journal of Solids and Structures

FE modeling to generate composite RVEs with high volume fractions and various shapes of inclusions

Wenlong Tian, Yajun Zhang, Chaosong Pei, Jian Ge, Xujiang Chao, Lehua Qi

doi:10.1016/j.ijsolstr.2024.112933

利用有限元建模生成具有高体积分数和各种形状夹杂物的复合 RVE

This work proposes a novel multi-step dynamic FE compression method to generate Representative Volume Elements (RVEs) of composites containing a variety of inclusions. This method is actualized through a sequential and four-stage procedure: (1) Sparse and periodic inclusions exhibiting a predefined orientation distribution are generated by implementing a modified random sequential adsorption algorithm, (2) Sparse inclusions undergo biaxial compression into the region of the targeted RVE via a dynamic FE analysis, (3) Periodic inclusions are compressed into the region utilizing a dynamic FE analysis with periodic boundary conditions, and (4) Positions and orientations of the compressed inclusions are extracted and the RVE in computer-aided design format is then generated. The proposed method confers advantages from four distinct perspectives: (1) applicability to various inclusion geometries, including ellipses, lobules, polygons, kidneys and stars, (2) ability to generate periodic RVEs of composites with high inclusion volume fractions (up to 80.0% for circular inclusions), (3) simple and straightforward numerical implementation without explicitly considering inclusion intersection check and (4) capacity to predefine inclusion orientation distribution. Statistical analyses utilizing multiple spatial descriptors, i.e., inclusion orientation angle, local volume fraction, voronoi cells area, nearest-neighbor distance and orientation, second order intensity function, radial distribution function and two-point probability function, confirm randomness of inclusion distribution in the generated RVEs. The elastic properties and damage behaviors of composites via the FE homogenization method are predicted based on the generated RVEs and are compared with those of available experimental data, the literature and the mean-field homogenization models to demonstrate effectiveness of the proposed multi-step dynamic FE compression method.

本研究提出了一种新颖的多步骤动态有限元压缩方法,用于生成含有各种夹杂物的复合材料的代表体积元素(RVE)。该方法通过一个有序的四阶段程序实现:(1)通过实施修改后的随机顺序吸附算法生成呈现预定方位分布的稀疏和周期性夹杂物;(2)通过动态 FE 分析将稀疏夹杂物双轴压缩到目标 RVE 区域;(3)利用具有周期性边界条件的动态 FE 分析将周期性夹杂物压缩到该区域;以及(4)提取压缩夹杂物的位置和方位,然后生成计算机辅助设计格式的 RVE。所提出的方法从四个不同的角度体现了其优势:(1) 适用于各种夹杂物几何形状,包括椭圆形、小叶形、多边形、肾形和星形;(2) 能够生成具有高夹杂物体积分数(圆形夹杂物高达 80.0%)的复合材料的周期性 RVE;(3) 简单直接的数值实施,无需明确考虑夹杂物交叉检查;(4) 能够预先确定夹杂物的方向分布。利用多种空间描述符(即夹杂物取向角、局部体积分数、Voronoi 单元面积、最近邻距离和取向、二阶强度函数、径向分布函数和两点概率函数)进行的统计分析证实了生成的 RVE 中夹杂物分布的随机性。根据生成的 RVE,通过 FE 均质化方法预测了复合材料的弹性特性和损伤行为,并与现有实验数据、文献和均场均质化模型进行了比较,从而证明了所提出的多步骤动态 FE 压缩方法的有效性。


Improved concept of representative directions: Cluster approach

A.V. Shutov, O.D. Vardosanidze

doi:10.1016/j.ijsolstr.2024.112934

改进代表方向的概念:集群方法

The concept of representative directions is a method for constitutive modelling that generalises uniaxial constitutive equations to the general multiaxial case. The simplicity of the concept allows both novice and experienced users to develop advanced material models, covering a wide range of nonlinear phenomena. This paper introduces the cluster approach, a new version of the concept that operates with clusters of fibres. Similar to the original concept, the cluster approach ensures objectivity and inherits the thermodynamic consistency of uniaxial models. The paper details the computational algorithms and presents numerical tests, highlighting the advantages of the new approach. Due to the smearing of fibres in orientation space, the cluster approach efficiently represents initially isotropic material behaviour with fewer clusters, making it computationally more efficient than the classical concept of representative directions. As a demonstration, the paper shows the adequacy of the cluster approach in capturing the actual inelastic behaviour of certain polymers and metals.

代表方向的概念是一种将单轴构成方程推广到一般多轴情况的构成建模方法。这一概念的简洁性使新手和经验丰富的用户都能开发出涵盖各种非线性现象的高级材料模型。本文介绍了簇方法,这是该概念的一个新版本,使用的是纤维簇。与原始概念类似,集群方法确保了客观性,并继承了单轴模型的热力学一致性。论文详细介绍了计算算法并进行了数值测试,突出强调了新方法的优势。由于纤维在取向空间中的涂抹,聚类方法以较少的聚类有效地表示了初始各向同性材料的行为,使其在计算上比经典的代表方向概念更有效。作为示范,论文展示了聚类方法在捕捉某些聚合物和金属的实际非弹性行为方面的充分性。


Journal of the Mechanics and Physics of Solids

Modified error-in-constitutive-relation (MECR) framework for the characterization of linear viscoelastic solids

Marc Bonnet, Prasanna Salasiya, Bojan B. Guzina

doi:10.1016/j.jmps.2024.105746

表征线性粘弹性固体的修正误差-构造相关性(MECR)框架

We develop an error-in-constitutive-relation (ECR) approach toward the full-field characterization of linear viscoelastic solids described within the framework of standard generalized materials. To this end, we formulate the viscoelastic behavior in terms of the (Helmholtz) free energy potential and a dissipation potential. Assuming the availability of full-field interior kinematic data, the constitutive mismatch between the kinematic quantities (strains and internal thermodynamic variables) and their “stress” counterparts (Cauchy stress tensor and that of thermodynamic tensions), commonly referred to as the ECR functional, is established with the aid of Legendre-Fenchel gap functionals linking the thermodynamic potentials to their energetic conjugates. We then proceed by introducing the modified ECR (MECR) functional as a linear combination between its ECR parent and the kinematic data misfit, computed for a trial set of constitutive parameters. The affiliated stationarity conditions then yield two coupled evolution problems, namely (i) the forward evolution problem for the (trial) displacement field driven by the constitutive mismatch, and (ii) the backward evolution problem for the adjoint field driven by the data mismatch. This allows us to establish compact expressions for the MECR functional and its gradient with respect to the viscoelastic constitutive parameters. For generality, the formulation is established assuming both time-domain (i.e. transient) and frequency-domain data. We illustrate the developments in a two-dimensional setting by pursuing the multi-frequency MECR reconstruction of (i) piecewise-homogeneous standard linear solid, and (b) smoothly-varying Jeffreys viscoelastic material.

我们针对在标准通用材料框架内描述的线性粘弹性固体的全场特性,开发了一种构造相关误差(ECR)方法。为此,我们用(亥姆霍兹)自由能势和耗散势来描述粘弹性行为。假设存在全场内部运动学数据,则运动学量(应变和内部热力学变量)与其 "应力 "对应物(考希应力张量和热力学张量)(通常称为 ECR 函数)之间的构成失配将借助 Legendre-Fenchel 间隙函数建立起来,该函数将热力学势能与其能量共轭物联系起来。然后,我们引入修正的 ECR(MECR)函数,将其作为 ECR 母函数与运动学数据失配之间的线性组合,并对一组试验性构成参数进行计算。附属静止条件产生两个耦合演化问题,即 (i) 由构成失配驱动的(试验)位移场的前向演化问题,以及 (ii) 由数据失配驱动的邻接场的后向演化问题。这样,我们就可以建立 MECR 函数及其梯度相对于粘弹性结构参数的紧凑表达式。为通用起见,我们同时假设了时域(即瞬态)和频域数据。我们通过研究 (i) 片状均质标准线性固体和 (b) 平滑变化的 Jeffreys 粘弹性材料的多频 MECR 重构,说明二维环境下的发展情况。


Thin-Walled Structures

Bandgap tunability and impact mitigation enhancement of hybrid graded origami-inspired metamaterials with multiple resonators

Chunlei Li, Yu Sun, Qiang Han, Tengjiao Jiang

doi:10.1016/j.tws.2024.112137

具有多个谐振器的混合梯度折纸启发超材料的带隙可调性和影响减缓增强功能

Origami structure has become an important design source of metamaterials because of its extremely rich form and infinite design space. In order to improve the wave attenuation and impact mitigation ability of origami structure, a hybrid graded origami-inspired metamaterials with multiple resonators is proposed. The bandgap characteristics, transmission spectrum and impact resistance of the proposed metamaterals are analyzed in detail by numerical simulation. The results show that multiple local resonance mechanisms can open two new bandgaps compared to the single local resonance case, and the bandgap boundary is very sensitive to the dimension of resonance units. In particular, the resonance peaks of the origami metamaterals are substantially weakened due to the presence of dimensional gradients, which allows multiple bandgaps to merge into an ultra-wide bandgap (bandwith up to 8.9kHz), about five times than the original bandwidth. According to the time domain and frequency domain analysis results, it can be found that the amplitude of reaction force is significantly reduced in the bandgap range, and the ultra-wide frequency domain (2.9–10kHz) with sustainable-low peak appears. Moreover, the asymmetry and graded design of unit-cell also affects the ability of dissipate and attenuate wave energy and delay the wave transmission time. In addition, the local-resonant origami metamaterials are fabricated by 3D printing technology, and the experimental results are in good agreement with the numerical simulation results. This study is expected to provide valuable ideas in crashworthiness design and impact wave protection of important equipments.

折纸结构以其极其丰富的形式和无限的设计空间成为超材料的重要设计来源。为了提高折纸结构的波衰减和抗冲击能力,本文提出了一种具有多个谐振器的混合分级折纸启发超材料。通过数值模拟详细分析了所提出的超材料的带隙特性、传输谱和抗冲击性。结果表明,与单局部谐振情况相比,多局部谐振机制可以打开两个新的带隙,而且带隙边界对谐振单元的尺寸非常敏感。特别是,由于尺寸梯度的存在,折纸元胞的共振峰被大大削弱,这使得多个带隙合并成一个超宽带隙(带宽高达 8.9kHz),约为原来带宽的五倍。根据时域和频域分析结果,可以发现反作用力的振幅在带隙范围内明显减小,并出现了具有持续低峰值的超宽频域(2.9-10kHz)。此外,单元单元的不对称和分级设计也影响了波能的耗散和衰减能力,并延迟了波的传输时间。此外,该局部谐振折纸超材料是通过三维打印技术制作的,实验结果与数值模拟结果吻合。这项研究有望为重要设备的防撞设计和冲击波防护提供有价值的思路。


A novel multi-step superposition model for the dispersion analysis of multiaxial prestressed plate-like structures

Xu Zhang, Gang Liu, Lei Chen, Yunxiu Ma, Zehui Zhang, Yuxuan Dong

doi:10.1016/j.tws.2024.112138

用于多轴预应力板状结构分散分析的新型多步叠加模型

Understanding the dispersion characteristics of multi-axial prestressed plate-like structures is crucial for the engineering application of guided wave non-destructive testing. However, existing analytical and semi-analytical models neglect both constitutive and geometric nonlinearities induced by the prestress and require tedious theoretical derivation and coding, which may not achieve accurate predictions. To address these issues, a convenient model based on the multi-step superposition analysis was proposed to investigate the effects of an arbitrary multiaxial prestress on the dispersion characteristics of plate-like structures. The core idea of this model involves introducing an initial configuration to describe the static pre-deformation between undeformed and final states; then, the dynamic wave motion was superimposed on the initial pre-deformation for the eigenfrequency analysis. Additionally, the strain energy density of the hyperelastic material was implanted and set as the relevant variable between the two steps by the inheritance of the solution. This model significantly improved the accuracy compared to the conventional method, as validated through biaxial acoustoelastic experiments. Subsequently, the acoustoelastic responses of the multiaxial prestressed 6061-T6 aluminum plate were investigated. The results reveal that the non-uniform in-plane prestress leads to the coupling of guided wave modes propagating along non-principal directions. Furthermore, the effects induced by multiaxial prestress in the frequency bands with low dispersion could be decomposed into the sum of the effects induced by three uniaxial prestresses with a very small deviation. These results provide new insights into the acoustoelastic behavior and a theoretical basis to optimize the guided wave mode and frequency.

了解多轴预应力板状结构的频散特性对于导波无损检测的工程应用至关重要。然而,现有的分析和半分析模型忽略了预应力引起的构成和几何非线性,需要繁琐的理论推导和编码,可能无法实现准确的预测。针对这些问题,我们提出了一种基于多步叠加分析的便捷模型,用于研究任意多轴预应力对板状结构离散特性的影响。该模型的核心思想是引入初始构型来描述未变形状态和最终状态之间的静态预变形;然后,将动态波运动叠加到初始预变形上进行特征频率分析。此外,还植入了超弹性材料的应变能密度,并通过继承解法将其设置为两步之间的相关变量。通过双轴声弹性实验验证,与传统方法相比,该模型大大提高了精确度。随后,研究了多轴预应力 6061-T6 铝板的声弹性响应。结果表明,非均匀面内预应力导致沿非主要方向传播的导波模式耦合。此外,多轴预应力在低色散频段引起的效应可分解为三个单轴预应力引起的效应之和,且偏差极小。这些结果为声弹行为提供了新的见解,也为优化导波模式和频率提供了理论依据。


Plastic and punching shear strengths of concrete-filled steel tubular gapped K-joints without noding eccentricity under brace axial loading

Fei Xu, Xuhong Zhou, Junbo Chen, Yuhang Wang, Jian Zhao

doi:10.1016/j.tws.2024.112139

支撑轴向荷载下无编码偏心的混凝土填充钢管间隙 K 型接头的塑性和冲切剪切强度

This paper presents a comprehensive investigation, numerically and theoretically, into the structural behaviour and design aspects of concrete-filled steel tubular (CFST) gapped K-joints under brace axial loading. Finite element (FE) models were developed and validated against test results from existing experimental programmes. Based on the validated FE models, influences of geometric parameters and steel material properties on the load-deformation curve, plastic strength, ultimate strength and punching shear stress distribution of CFST K-joints were systematically assessed. In general, the chord diameter-to-thickness ratio 2γ, brace-to-chord diameter ratio β and steel material strength are crucial to the structural behaviour of CFST K-joints, whilst the brace-to-chord thickness ratio τ was found to have minimal influence. A shear stress distribution model was proposed as well to predict the shear stress distribution at ultimate load. To accurately account for the radial support of inner concrete, the classical ring model was modified accordingly. Based on the proposed shear stress distribution model and modified ring model, analysis-orientated and design-orientated equations were formulated to estimate both the plastic and ultimate strengths of CFST K-joints. The calculated plastic and ultimate strengths were compared against the experimental and numerical results, and the comparison demonstrates the ability of the proposed design methods to accurately and reliably determine the plastic and ultimate strengths of CFST K joints.

本文从数值和理论两方面全面研究了混凝土填充钢管(CFST)间隙 K 型接头在支撑轴向荷载作用下的结构行为和设计问题。我们开发了有限元(FE)模型,并根据现有实验项目的测试结果进行了验证。根据验证后的有限元模型,系统地评估了几何参数和钢材料特性对 CFST K 型接头的载荷-变形曲线、塑性强度、极限强度和冲剪应力分布的影响。总体而言,弦线直径与厚度比 2γ、支撑与弦线直径比 β 和钢材料强度对 CFST K 型接头的结构行为至关重要,而支撑与弦线厚度比 τ 的影响则微乎其微。此外,还提出了一个剪应力分布模型,用于预测极限载荷下的剪应力分布。为了准确考虑内部混凝土的径向支撑,对经典的环形模型进行了相应的修改。根据提出的剪应力分布模型和修改后的环形模型,制定了面向分析和面向设计的方程,以估算 CFST K 型接头的塑性强度和极限强度。计算得出的塑性强度和极限强度与实验结果和数值结果进行了对比,对比结果表明所提出的设计方法能够准确可靠地确定 CFST K 接头的塑性强度和极限强度。


Optimizing profiled ring preforms for enhanced deformation uniformity using the isothermal field method

Yan Han, Menghan Wang, Hai Su, Yu He, Yuanyuan Zheng, Xin Li

doi:10.1016/j.tws.2024.112140

利用等温场法优化异型环形预成型件以提高变形均匀性

One of the main challenges faced by the profiled ring rolling (PRR) process is to ensure the deformation uniformity of the ring, which is closely related to the design of the ring preform. The paper explores the application of the isothermal field method (IFM) in designing preforms for PRR processes, targeting the aerospace sector's high-end equipment manufacturing. Through the integration of advanced computational models and practical design principles, a comprehensive approach involving IFM, finite element simulation, support vector machine modeling, and genetic algorithm optimization is employed to determine the geometric dimensions of rational preforms. The material flow behavior during the PRR process is analyzed, and the effects of different isotherms combinations on strain, stress and temperature distribution are discussed. The findings demonstrate that adjusting the preform's shape during the section forming stage can optimize the uniformity of strain, stress, and temperature within the forging. The stable ring rolling process revealed no macroscopic or microscopic defects, validating the design method of ring preform based on IFM is reasonable. The research contributes to advancing near-net shape forming technologies, offering a novel approach to preform design that marries theoretical analysis with practical manufacturability considerations.

异型环轧制(PRR)工艺面临的主要挑战之一是确保环的变形均匀性,这与环形预型件的设计密切相关。本文针对航空航天领域的高端装备制造,探讨了等温场法(IFM)在 PRR 工艺预型件设计中的应用。通过整合先进的计算模型和实用的设计原则,采用了一种涉及等温场法、有限元模拟、支持向量机建模和遗传算法优化的综合方法来确定合理预型件的几何尺寸。分析了 PRR 过程中的材料流动行为,并讨论了不同等温线组合对应变、应力和温度分布的影响。研究结果表明,在断面成形阶段调整预型件的形状可以优化锻件内部应变、应力和温度的均匀性。稳定的环形轧制过程没有发现宏观或微观缺陷,验证了基于 IFM 的环形预型件设计方法是合理的。这项研究为推进近净成形技术做出了贡献,提供了一种将理论分析与实际可制造性考虑相结合的新型预型件设计方法。


Experimental and numerical characterization of column webs/faces loaded out-of-plane in steel joints

Melaku Seyoum Lemma, Carlos Rebelo, Jorge Conde Conde, Luís Simões da Silva

doi:10.1016/j.tws.2024.112141

钢接头平面外加载的柱腹板/面的实验和数值特性分析

This paper presents a comprehensive investigation into the behavior of column webs/faces under out-of-plane loading within steel joints. The experimental component of the study involves testing five profiles, encompassing both open and closed sections with varying web slenderness and steel grade, subjected to direct out-of-plane tensile loads through bolted connections, utilizing both single and double rows of bolts. Concurrently, numerical simulations are conducted using finite element models, thoroughly calibrated with the experimental results. Drawing upon the calibrated numerical models, the paper systematically explores the influence of key parameters, including web slenderness, bolt arrangement, and analysis methods, through a parametric study involving 167 cases. A careful comparison of the observed behavior of the component from experimental tests, numerical models, and analytical models for initial stiffness is presented. Finally, the initial stiffness formulation derived from a recent model developed by the authors is improved to align with the observations from the experimental and numerical results.

本文介绍了对钢接头内平面外荷载作用下柱腹板/面的行为的全面研究。研究的实验部分包括测试五种型材,其中既有开放式型材,也有封闭式型材,它们的腹板细长度和钢材等级各不相同,通过螺栓连接(使用单排和双排螺栓)直接承受平面外拉伸荷载。同时,使用有限元模型进行了数值模拟,并根据实验结果进行了全面校准。利用校准后的数值模型,论文通过涉及 167 个案例的参数研究,系统地探讨了关键参数的影响,包括腹板细长度、螺栓布置和分析方法。论文仔细比较了从实验测试、数值模型和初始刚度分析模型中观察到的构件行为。最后,对作者最近开发的模型中得出的初始刚度公式进行了改进,使其与实验和数值结果中的观测结果保持一致。


Dynamic response of thin plate with damping subjected to in-plane compressive harmonic excitation

P. Perlikowski, M. Bohlooly Fotovat, T. Kubiak

doi:10.1016/j.tws.2024.112130

带阻尼薄板在平面压缩谐波激励下的动态响应

The dynamics of a rectangular plate with initial deflection excited by an external force comprising two components, a constant and periodically varying term, were analyzed by the authors of the paper. It was noted that the plate’s initial deflection was perpendicular to its surface, resulting in asymmetry. The partial differential equation governing the plate’s behaviour was simplified to the one-degree-of-freedom Mathieu equation. The three methods have been used to analyze the system’s dynamics: the FEM, the sampled-based method and path-following. The equivalence of the full model with the reduced one was confirmed by the researchers. It was found that the Mathieu equation was suitable for investigating the dynamics of the rectangular plate across various parameters and for studying the sensitivity to initial conditions. It is shown that the reduced model is very efficient for detecting ranges of multistability and bifurcations sequence. A good agreement is also observed for values of stress obtained from full and reduced models.

论文作者分析了一个矩形板在恒定和周期变化两个分量的外力作用下初始偏转的动力学特性。作者注意到,板的初始挠度与其表面垂直,从而导致不对称。指导板块行为的偏微分方程被简化为一自由度马修方程。分析系统动力学时使用了三种方法:有限元法、基于采样的方法和路径跟踪法。研究人员确认了完整模型与简化模型的等价性。研究发现,马修方程适用于研究矩形板在不同参数下的动力学,也适用于研究对初始条件的敏感性。研究表明,简化模型在检测多稳定性范围和分岔序列方面非常有效。从完整模型和简化模型中获得的应力值也有很好的一致性。


Experiments on the material and stability performance of slender WAAM plated structures

Sian I. Evans, Fangda Xu, Jie Wang

doi:10.1016/j.tws.2024.112136

细长 WAAM 镀层结构的材料和稳定性能实验

An experimental study has been carried out to investigate the material and stability performance of WAAM 316L stainless steel plates supported along both edges. The experiments were facilitated by testing a series of square hollow section (SHS) stub columns and tensile coupons extracted from the plates manufactured along with the stub columns. The tensile test results provided the material properties to be used for later analysis of the stub column tests, and indicated anisotropic material behaviour while displaying satisfactory material ductility. The SHS stub column dimensions fall in the range of ‘slender’ cross-sections as defined by Eurocode 3. Their geometric profiles were 3D laser scanned and analysed prior to the compression tests. The failure modes and load carrying capacities of the WAAM SHS stub columns were analysed and compared to the specimens in previous similar studies. The use of the Effective Width Equation in Eurocode 3 and the Continuous Strength Method for the design of slender WAAM stainless steel plates are evaluated.

为了研究 WAAM 316L 不锈钢板两边支撑的材料和稳定性能,我们进行了一项实验研究。通过测试一系列方形空心截面 (SHS) 存根柱和从与存根柱一起制造的钢板中提取的拉伸试样,为实验提供了便利。拉伸测试结果提供了材料特性,用于随后的存根柱测试分析,并显示了各向异性的材料行为,同时显示了令人满意的材料延展性。SHS 存根柱的尺寸属于欧洲规范 3 所定义的 "细长 "截面范围。在压缩试验之前,对其几何轮廓进行了三维激光扫描和分析。对 WAAM SHS 存根柱的破坏模式和承载能力进行了分析,并与之前类似研究中的试样进行了比较。评估了欧洲规范 3 中有效宽度方程和连续强度法在细长 WAAM 不锈钢板设计中的应用。



来源:复合材料力学仿真Composites FEM
ACTSystemInspireMarcDeform复合材料非线性通用航空航天理论材料试验螺栓
著作权归作者所有,欢迎分享,未经许可,不得转载
首次发布时间:2024-11-21
最近编辑:2小时前
Tansu
签名征集中
获赞 3粉丝 0文章 679课程 0
点赞
收藏
作者推荐

【新文速递】2024年6月19日固体力学SCI期刊最新文章

今日更新:International Journal of Solids and Structures 1 篇,Journal of the Mechanics and Physics of Solids 1 篇,Mechanics of Materials 2 篇,International Journal of Plasticity 2 篇,Thin-Walled Structures 2 篇International Journal of Solids and StructuresHamiltonian/Stroh formalism for reversible poroelasticity (and thermoelasticity)Andrea Nobilidoi:10.1016/j.ijsolstr.2024.112935可逆孔弹性(和热弹性)的哈密顿/斯特罗形式主义Stroh’s sextic formalism represents the equilibrium equations of anisotropic elasticity in a particularly attractive form, that is most suitable for studying interface-dominated multilayered solids, composite materials and time-harmonic problems. Taking advantage of the fact that the Stroh formalism really amounts to the canonical form of the equations in the Hamiltonian sense, the case of Biot’s reversible (i.e. no fluid dissipation) poroelasticity is here addressed, in the absence of a fluid pressure gradient. This framework is the same as thermoelasticity of perfect conductors. Two Hamiltonian formulations are developed: the first describes both the solid and the fluid phases and it exhibits, besides energy conservation, momentum conservation, as a result of pressure uniformity (perfectly drained conditions). The second is restricted to the solid skeleton and perfectly parallels anisotropic elasticity, where the Stroh matrices refer to the effective stress tensor. The case of weak fluid-solid coupling is also considered and it produces a perturbation from anisotropic elasticity with the same structure as incompressibility, although in an “opposing” manner. This comparison suggests that the incompressibility limit introduced by Biot should be revised. The energy conservation integral and the edge impedance matrix are also illustrated.斯特罗的六元形式主义以一种特别有吸引力的形式表示各向异性弹性的平衡方程,最适合研究界面主导的多层固体、复合材料和时谐问题。利用 Stroh 公式实际上等同于哈密顿方程的典型形式这一事实,在没有流体压力梯度的情况下,本文讨论了 Biot 可逆(即无流体耗散)孔弹性的情况。这一框架与完美导体的热弹性相同。提出了两种哈密顿公式:第一种同时描述了固体和流体相,由于压力均匀性(完全排水条件),除了能量守恒外,还表现出动量守恒。第二种仅限于固体骨架,完全平行于各向异性弹性,其中 Stroh 矩阵指的是有效应力张量。我们还考虑了流固弱耦合的情况,它产生了各向异性弹性的扰动,其结构与不可压缩性相同,但方式 "相反"。这种比较表明,应修改 Biot 引入的不可压缩性限制。此外,还说明了能量守恒积分和边缘阻抗矩阵。Journal of the Mechanics and Physics of SolidsA unified discontinuous Galerkin formulation for interfacial multiphysics modeling of thermo-chemically driven fractureDaniel Pickard, Raúl Radovitzkydoi:10.1016/j.jmps.2024.105748用于热化学驱动断裂界面多物理场建模的统一非连续伽勒金公式Many engineering and natural materials exhibit coupled thermo-chemo-mechanical phenomena, which can result in embrittlement and fracture. These fractures, in turn, can alter the subsequent thermal, chemical, and mechanical response. We present a theoretical formulation and computational framework for the analysis of thermo-chemically fractured solids, with emphasis on the post-fracture thermal and chemical interfacial behavior. The theoretical model is based on the thermodynamically-consistent formulation of Loeffel and Anand (IJP, 2011). The computational method extends the scalable discontinuous Galerkin/Cohesive Zone Model (DG/CZM) of Radovitzky et al. (CMAME, 2011) to thermo-chemo-mechanics, which facilitates coupled, large-scale simulations of materials and structures containing failed interfaces. In the proposed framework, all balance laws are enforced weakly via the DG formalism, resulting in a unified formulation for multiphysics problems in solids. This naturally enables the incorporation of general interface models, e.g. to account for effects such as the aeolotropic reduction in thermochemical transport due to the presence of fractures, or the acceleration of chemical reactions along crack flanks. The approach is verified against two analytical solutions of boundary value problems drawn from thermo-poro-elasticity and thermally-driven delamination. A scalable, three-dimensional simulation of thermochemically-driven concrete cracking illustrates the complete capabilities of the interfacial multiphysics modeling framework.许多工程材料和天然材料都会出现热-化学-机械耦合现象,从而导致脆化和断裂。这些断裂反过来又会改变后续的热、化学和机械响应。我们提出了热化学断裂固体分析的理论公式和计算框架,重点关注断裂后的热界面和化学界面行为。理论模型基于 Loeffel 和 Anand 的热力学一致性公式(IJP,2011 年)。该计算方法将 Radovitzky 等人(CMAME,2011 年)的可扩展非连续伽勒金/粘合区模型(DG/CZM)扩展到了热-化学-力学领域,有助于对包含断裂界面的材料和结构进行大规模耦合模拟。在提议的框架中,所有平衡定律都是通过 DG 形式主义弱化执行的,从而为固体中的多物理场问题提供了统一的表述方式。这就自然而然地使一般界面模型成为可能,例如,考虑到由于裂缝的存在而导致热化学传输的各向异性降低,或沿裂缝侧面的化学反应加速等效应。该方法根据热孔弹性和热驱动分层的两个边界值问题的分析解决方案进行了验证。对热化学驱动的混凝土开裂进行了可扩展的三维模拟,展示了界面多物理场建模框架的全部能力。Mechanics of MaterialsProbabilistic analysis of homogenized elastic property for resin products fabricated by additive manufacturing based on three-dimensional random field modeling of microstructureSei-ichiro Sakata, George Stefanou, Takayoshi Kikkawa, Yuki Aikawadoi:10.1016/j.mechmat.2024.105071基于微观结构三维随机场建模的增材制造树脂产品均质弹性性能概率分析Additive manufacturing (AM) techniques have been used in several fields of science and industry, and fabrication techniques are being updated. For this fact, especially, for industrial use, mechanical property evaluation methodologies for AM products and standards for product quality assessment should also be well established. In this paper, a probabilistic evaluation of the homogenized elastic properties of a resin product fabricated by a material extrusion-based AM technique is attempted by considering the randomness of both material and microscopic geometrical quantities. This AM method fabricates a resin structure by piling up melted resin, and to decrease consumed material and influence of thermal deformation, the inner structure of the fabricated products will include many pores and its geometry is difficult to be well controlled. From this fact, the products will be regarded as a heterogeneous material with complex random microstructure. This will cause difficulty in the evaluation of its apparent material properties and therefore a probabilistic homogenization analysis is attempted for quantitative estimation of the apparent material property in this study. In particular, to investigate probabilistic properties of microscopic geometry, a random field modeling technique is employed for the evaluation of autocorrelation of the microscopic geometrical parameter, and the results of the autocorrelation identified by experimental observation are introduced to the probabilistic homogenization analysis. The two-dimensional or three-dimensional random field modeling is attempted, and the effectiveness of this approach is investigated by comparing it with the experimental result.快速成型制造(AM)技术已在多个科学和工业领域得到应用,其制造技术也在不断更新。因此,特别是在工业应用中,应建立完善的 AM 产品机械性能评估方法和产品质量评估标准。本文通过考虑材料和微观几何量的随机性,尝试对基于材料挤压的 AM 技术制造的树脂产品的均质弹性特性进行概率评估。这种 AM 方法通过堆积熔化的树脂来制造树脂结构,为了减少材料消耗和热变形的影响,制造产品的内部结构将包括许多孔隙,其几何形状难以很好地控制。因此,产品将被视为具有复杂随机微观结构的异质材料。这将给表观材料特性的评估带来困难,因此本研究尝试采用概率均质化分析方法对表观材料特性进行定量评估。其中,为了研究微观几何的概率特性,采用了随机场建模技术来评估微观几何参数的自相关性,并将实验观察所确定的自相关性结果引入概率均质化分析。尝试了二维或三维随机场建模,并通过与实验结果的比较研究了这种方法的有效性。The extended scaling laws of the mechanical properties of additively manufactured body-centered cubic lattice structures under large compressive strainsZhi Chen, Souvik Sahoo, María Teresa Pérez-Prado, Dan Mordehaidoi:10.1016/j.mechmat.2024.105075增材制造体心立方晶格结构在大压应变下力学性能的扩展缩放规律Additively manufactured lattice structures are porous light-weight structures with mechanical properties that are dictated both from the topology and the parent material properties. When printed from metals, these structures can withstand large continuous plastic deformation. In this paper, we focus on body-centered cubic (BCC) lattice structures under compression up to large deformation strains, and we propose relations between the slenderness ratio of struts and the following mechanical properties: Young’s modulus, yield strength, hardening rate of the structure and the densification strain. We perform a systematic study using finite element modelling (FEM) to find how both material properties and lattice structures are affecting the effective mechanical properties of BCC lattice structures under compression. Based on this analysis we propose the scaling laws of the mechanical properties. The scaling laws can be explained as an extension of the Gibson-Ashby power law relations for bend-dominated structures with non-slender beams. We also discuss how rounding the connections between the struts using fillets affects the scaling laws. We demonstrate the scaling laws in the analysis of experimental results, showing the accuracy and limitations of the scaling laws in predicting the mechanical properties, with an emphasis on large deformations. In the analysis, we use experimental values published in literature, and we also present here experimental results of lattice structures printed from Inconel 718.叠加制造的晶格结构是一种多孔轻质结构,其机械特性由拓扑结构和母体材料特性共同决定。当用金属打印时,这些结构可以承受较大的连续塑性变形。在本文中,我们重点讨论了体心立方(BCC)晶格结构在压缩至大变形应变时的力学性能,并提出了支杆细长比与以下力学性能之间的关系:我们提出了细长比与下列力学性能之间的关系:杨氏模量、屈服强度、结构硬化率和致密化应变。我们使用有限元建模(FEM)进行了系统研究,以了解材料特性和晶格结构如何影响 BCC 晶格结构在压缩条件下的有效机械特性。在此分析基础上,我们提出了机械性能的缩放规律。这些缩放定律可以解释为吉布森-阿什比幂律关系的扩展,适用于以弯曲为主的非细长梁结构。我们还讨论了使用圆角对支柱之间的连接进行圆角处理如何影响缩放定律。我们在实验结果分析中演示了缩放定律,显示了缩放定律在预测力学性能方面的准确性和局限性,重点是大变形。在分析过程中,我们使用了文献中公布的实验值,并在此介绍了由 Inconel 718 印刷而成的晶格结构的实验结果。International Journal of PlasticityOn the anisotropic coalescence of elliptic cylindrical voids considering the geometric and distributive propertiesJiawei Chen, Tsuyoshi Furushimadoi:10.1016/j.ijplas.2024.104036 考虑几何和分布特性的椭圆柱形空洞各向异性凝聚问题The geometric and distributive properties of voids significantly influence anisotropic coalescence behavior. However, this problem has received little attention owing to the complexity of considering all the properties in the current analytical framework of limit analysis. To address this issue, this study proposes an analytical framework based on an elliptic coordinate system, including the determination of the ligament zone, characterization of plastic flow, and derivation of the void coalescence criterion, for porous materials with various geometric and distributive properties, including size, shape, spacing, and orientation. This framework is motivated by our observations that the evolution of the void geometry and surrounding plastic flow can be well characterized by the grid of the elliptic coordinate system. Subsequently, an analytical function is proposed to determine the ligament zone and coalescence direction with various void properties. A hollow nonaxisymmetric cylindrical unit cell is proposed to describe this ligament zone, and the corresponding trial velocity field is derived by extending the previous Gurson-like velocity field into the elliptic cylindrical coordinate system. The rationality of the field is validated by comparing its equivalent strain rate field with numerical simulations. Finally, a coalescence criterion is derived via the limit analysis of the proposed unit cell undergoing internal necking. Two heuristic adjustments are formulated for the overflow phenomenon in the rigid zone and outer ligament zones. Numerical assessments with various void properties confirm the accuracy of the analytical model. The coalescence criterion can predict the independent and coupling effects of geometric and distributive properties on anisotropic void coalescence. This study provides possible solutions to future plasticity problems of ellipsoidal inclusions.空隙的几何特性和分布特性对各向异性凝聚行为有重大影响。然而,由于在当前的极限分析框架中考虑所有属性的复杂性,这一问题很少受到关注。为了解决这个问题,本研究提出了一个基于椭圆坐标系的分析框架,包括韧带区的确定、塑性流动的表征以及空隙凝聚准则的推导,适用于具有各种几何和分布特性(包括尺寸、形状、间距和取向)的多孔材料。我们观察到,椭圆坐标系的网格可以很好地描述空隙几何形状和周围塑性流动的演变过程,因此我们提出了这一框架。随后,我们提出了一个分析函数,用于确定具有各种空隙属性的韧带区和凝聚方向。提出了一个空心非轴对称圆柱单元来描述该韧带区,并通过将之前的古尔森速度场扩展到椭圆圆柱坐标系得出了相应的试验速度场。通过将其等效应变率场与数值模拟进行比较,验证了该场的合理性。最后,通过对发生内部缩颈的拟议单元尺寸进行极限分析,得出了凝聚准则。针对刚性区和外韧带区的溢出现象,提出了两种启发式调整方法。利用各种空隙特性进行的数值评估证实了分析模型的准确性。凝聚准则可以预测几何特性和分布特性对各向异性空隙凝聚的独立和耦合效应。这项研究为未来椭圆形夹杂物的塑性问题提供了可能的解决方案。Double-peak Strain Hardening Behavior of Mg–1.2 wt.%Y AlloyBo Guan, Li Wang, Yunchang Xin, Peidong Wu, Jing Xu, Xiaoxu Huang, Qing Liudoi:10.1016/j.ijplas.2024.104041 Mg-1.2 wt.%Y 合金的双峰应变硬化行为In this study, the mechanical behavior and deformation mechanism of an extruded Mg–1.2 wt.%Y rod under tension and compression along the extrusion direction (ED) were systematically investigated through experiments and crystal plasticity simulations. A double-peak strain hardening behavior comprising five distinct stages was observed under compression along the ED. The five stages are as follows: a fast drop in the strain hardening rate (stage I), steady increase in the strain hardening rate (stage II), gradual decrease in the hardening rate (stage III), second increase in the strain hardening rate (stage IV), and rapid decrease in the strain hardening rate (stage V). This unique strain hardening behavior led to an ultimate compressive strength of up to 539 MPa at a high strain of 0.4. Crystal plastic simulations using an elastic viscoplastic self-consistent model revealed a high activity and a long process of {101¯2} twinning in a strain range of 0–0.35 under compression along the ED. The twinning behavior examined via electron backscattering diffraction indicated that the {101¯2} twinning was activated in both grains with relatively high and very low Schmid factors. Subsequently, the mechanism for the presence of this double-peak strain hardening was established and, finally, the significance of this double-peak strain hardening for strengthening Mg alloys was discussed.本研究通过实验和晶体塑性模拟,系统地研究了挤压 Mg-1.2 wt.%Y 棒在沿挤压方向(ED)拉伸和压缩条件下的力学行为和变形机制。在沿 ED 方向压缩时,观察到了由五个不同阶段组成的双峰应变硬化行为。这五个阶段如下:应变硬化率快速下降(第一阶段)、应变硬化率稳定上升(第二阶段)、硬化率逐渐下降(第三阶段)、应变硬化率第二次上升(第四阶段)和应变硬化率快速下降(第五阶段)。这种独特的应变硬化行为使其在 0.4 高应变下的极限抗压强度高达 539 兆帕。使用弹性粘塑性自洽模型进行的晶体塑性模拟显示,在沿 ED 压缩的 0-0.35 应变范围内,{101¯2}孪晶的活性很高,过程很长。通过电子反向散射衍射检查的孪生行为表明,{101¯2}孪生在施密德因子相对较高和非常低的两种晶粒中都被激活。随后,确定了这种双峰应变硬化的存在机制,最后讨论了这种双峰应变硬化对强化镁合金的意义。Thin-Walled StructuresTransient behavior of a plate partially immersed in the fluid subjected to impact loadings: Theoretical analysis and experimental measurementsChan-Yi Liao, Guan-Wei Chen, Chien-Ching Madoi:10.1016/j.tws.2024.112134部分浸入流体中的板材在受到冲击载荷时的瞬态行为:理论分析和实验测量This study aimed to investigate the transient behavior of a rectangular plate partially in contact with fluid subjected to a dynamic external force. To this purpose, a theoretical model was developed to analyze vibration characteristics and transient wave propagation. Based on superposition method, the dry mode shapes and natural frequencies of the plate under vacuum could be obtained. The dry mode shapes were treated as the fundamental function to construct the wet mode that describes the vibration behavior of the fluid-plate coupled system. The velocity potential and fluid pressure within a finite tank due to the plate deflection were derived using an equation governing the incompressible fluid. Based on the relationship between dry mode shape and wet mode shape, the fluid-plate coupled system's wet mode shape and resonant frequency could be determined from the frequency response function. Applying the normal mode method, the transient displacement of plate and fluid pressure can be obtained by solving a system of non-homogeneous differential equations. The theoretical predictions were verified by finite element method (FEM) and experimental measurements. Experiments were conducted using piezoelectric film sensors (polyvinylidene fluoride, PVDF) to measure the force history induced by a steel ball impact to quantitatively analyze the transient response. The comparison results proved that the theoretical predictions and experiments were in good agreement, including the transient responses of the displacement and in-plane strain of a plate partially submerged in the fluid. The results indicate that changes in water depth can induce resonance frequency shifts and wet mode shape distortions, which also illustrate that the vibrational properties of wet modes affect transient behavior. The proposed transient solution demonstrates an analytical approach that connects the physical significance of the dynamic behavior of the fluid-plate coupled system in time and frequency domains; it provides a connection between the transient behaviors and vibration characteristics.本研究旨在探讨部分与流体接触的矩形板在动态外力作用下的瞬态行为。为此,建立了一个理论模型来分析振动特性和瞬态波传播。基于叠加法,可以得到真空条件下板的干模态振型和固有频率。干模态形状被视为基本函数,用于构建描述流体-板耦合系统振动行为的湿模态。利用不可压缩流体方程推导出了板挠度导致的有限槽内速度势能和流体压力。根据干模态振型和湿模态振型之间的关系,可以从频率响应函数中确定流体-板耦合系统的湿模态振型和共振频率。应用法向模态方法,通过求解非均质微分方程系统,可以得到板的瞬态位移和流体压力。有限元法(FEM)和实验测量验证了理论预测。实验使用压电薄膜传感器(聚偏氟乙烯,PVDF)测量钢球撞击引起的受力历史,以定量分析瞬态响应。对比结果证明,理论预测与实验结果非常吻合,包括部分浸没在流体中的平板的位移和平面应变的瞬态响应。结果表明,水深变化会引起共振频率偏移和湿模态形状扭曲,这也说明了湿模态的振动特性会影响瞬态行为。所提出的瞬态解决方案展示了一种在时域和频域上连接流体-板耦合系统动态行为的物理意义的分析方法;它提供了瞬态行为和振动特性之间的联系。User friendly FE Formulation for anisotropic distortional hardening model based on non-associated flow plasticity and its application to springback predictionQi Hu, Lorenz Maier, Takeshi Nishiwaki, Christoph Hartmann, Wolfram Volk, Jeong Whan Yoondoi:10.1016/j.tws.2024.112142基于非关联流塑性的各向异性变形硬化模型的用户友好型 FE 公式及其在回弹预测中的应用Based on non-associated flow plasticity, a newly developed anisotropic distortional hardening model developed by Hu and Yoon [15] is implemented in finite element analysis in a user-friendly manner. The derivatives of complex hardening models are calculated using the Finite Difference Method (FDM), which is much more convenient than using the analytical derivatives. To further improve the accuracy of the proposed method, the step size analysis in FDM is performed by analyzing the derivative formation. To evaluate the accuracy and computational efficiency of a proposed step size for FDM, single element simulations are performed under different loading paths. It has been found that the maximum absolute error of the flow curves between the simulation and the theoretical result is less than 0.3 %. The U-bending tests for DP600 and TRIP1180 are used to verify the ability of the distortional hardening model for springback prediction. The simulation result of the strain hardening model is in good agreement with the experiment. The computational efficiency is also increased by 24 % due to the improved convergence rate.基于非关联流塑性,Hu 和 Yoon [15] 新开发的各向异性变形硬化模型以用户友好的方式在有限元分析中实现。复杂硬化模型的导数采用有限差分法(FDM)计算,这比使用解析导数要方便得多。为了进一步提高所提方法的精度,通过分析导数的形成,对 FDM 中的步长进行了分析。为了评估所提出的 FDM 步长的精度和计算效率,我们在不同的加载路径下进行了单元素模拟。结果发现,模拟结果与理论结果之间流动曲线的最大绝对误差小于 0.3%。DP600 和 TRIP1180 的 U 形弯曲试验用于验证变形硬化模型预测回弹的能力。应变硬化模型的模拟结果与实验结果非常吻合。由于收敛速度提高,计算效率也提高了 24%。来源:复合材料力学仿真Composites FEM

未登录
还没有评论
课程
培训
服务
行家
VIP会员 学习 福利任务 兑换礼品
下载APP
联系我们
帮助与反馈