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 2 篇
On the statistical behavior of homogenized properties and ultrasonic phase velocities in random polycrystals
Sheng Ningyue, Khazaie Shahram, Chevreuil Mathilde, Fréour Sylvain
doi:10.1016/j.ijsolstr.2023.112531
论无规多晶体中均质特性和超声波相速的统计行为
Most theoretical studies on homogenized properties of polycrystals consider infinite textureless media with orientations characterized by independent Euler angles. However, microstructural analyses of polycrystals reveal spatially correlated orientations of grains whose sizes often follow lognormal distributions. Moreover, experimental investigations show that the single-crystal elastic constants (SEC) in the crystallite’s local coordinates could exhibit variabilities. To the best of our knowledge, in the context of our study, these have never been considered in the literature. In this paper, the crystal orientations are simulated using random fields (RFs) with different correlation parameters. A maximum entropy principle is used to simulate realizations of the local stiffness matrices. Numerical results indicate that generating Euler angles using independent random variables is legitimate when correlation lengths of orientations are close enough to the average grain size. Analytical formulas are derived to estimate the statistical behavior of effective elastic moduli and the phase velocities considering either unimodal or bimodal grain size distributions and fluctuations in local tensors for both two- and three-dimensional polycrystals. The former highlight the important roles of the coefficient of variations of the grain sizes and that of the elastic constants. This work contributes to microstructural characterization research associated with ultrasonic phase velocity measurements.
有关多晶体均匀特性的大多数理论研究都考虑了以独立欧拉角为取向特征的无限无纹理介质。然而,多晶体的微观结构分析表明,晶粒的取向在空间上相互关联,其大小通常遵循对数正态分布。此外,实验研究表明,单晶弹性常数 (SEC) 晶体的局部坐标可能会出现变化。据我们所知,在我们的研究中,这些问题从未在文献中考虑过。本文使用随机场(RF)模拟晶体取向不同的相关参数。最大熵原理用于模拟局部刚度矩阵的实现。数值结果表明,当取向的相关长度足够接近平均晶粒尺寸时,使用独立随机变量生成欧拉角是合理的。考虑到二维和三维多晶体的单峰或双峰晶粒尺寸分布以及局部张量的波动,推导出分析公式来估算有效弹性模量和相速度的统计行为。前者突出了晶粒尺寸变化系数和弹性常数变化系数的重要作用。这项工作有助于与超声波相速度测量相关的微结构表征研究。
Tailoring the strength and ductility of graphene/metal composites with percolation network
Sun Yang, Zhang Wei, Hu Weipeng, Liu Mabao
doi:10.1016/j.ijsolstr.2023.112533
利用渗流网络定制石墨烯/金属复合材料的强度和延展性
The graphene network architecture is a promising structure for improving both strength and ductility of graphene/metal composites that has attracted widespread attention. A key issue in designing and optimizing networked graphene/metal composites is the development of theoretical model that can quantitatively predict their overall mechanical properties. Herein, we present a novel computational framework to investigate the effect of graphene percolation network on the strength-ductility of graphene/metal composites utilizing the Cauchy’s probabilistic model, the field fluctuation method and the irreversible thermodynamics principle. Simultaneously, the accuracy of multiscale model is demonstrated by the reported experimental data. To detect how the strength and ductility of networked graphene/metal composites are elevated synchronously, the influences of the primary microstructural parameters including percolation threshold, graphene concentration and aspect ratio on the strength-ductility are quantitatively assessed. Overall, the computational framework can provide theoretical guidance for the architecture optimization of networked graphene/metal composites.
石墨烯网络结构是一种有望提高石墨烯/金属复合材料强度和延展性的结构,已引起广泛关注。设计和优化石墨烯/金属网络复合材料的一个关键问题是建立能定量预测其整体力学性能的理论模型。在此,我们提出了一个新颖的计算框架,利用柯西概率模型、场波动法和不可逆热力学原理研究石墨烯渗流网络对石墨烯/金属复合材料强度-电导率的影响。同时,实验数据也证明了多尺度模型的准确性。为了检测网络化石墨烯/金属复合材料的强度和延展性是如何同步提升的,定量评估了主要微结构参数(包括渗流阈值、石墨烯浓度和长宽比)对强度-延展性的影响。总之,该计算框架可为网络化石墨烯/金属复合材料的结构优化提供理论指导。
A continuum particle model for micro-scratch simulations of crystalline silicon
Sperling S.O., Hoefnagels J.P.M., van den Broek K., Geers M.G.D.
doi:10.1016/j.jmps.2023.105469
用于晶体硅微划痕模拟的连续粒子模型
In order to suffice the stringent surface requirements imposed on silicon wafers, thorough investigation of the fabrication methods is necessary. Typically, the processing conditions for slicing and grinding operations are determined via scratch experiments, where the information is mostly derived from the wear scars at the scratched surface. In order to cultivate an improved understanding of the subsurface deformations caused by silicon micro-scratching, numerical simulations are instrumental. For this purpose, a continuum particle-based micro-scale formulation is here proposed that addresses two challenges: (i) the need for a numerical methodology enabling mechanical continuum-discontinuum transitions and (ii) a constitutive model that accounts for the mechanics resulting from the underlying phase transformations. In this paper, both aspects are covered in order to simulate the basics of silicon micro-scratching. First, an extension of the recently introduced Continuum Bond Method (CBM), a continuum-based particle methodology, is presented along with its implementation details in LAMMPS. Then, the finite strain extension of an infinitesimal continuum inelastic model for silicon taken from literature is discussed which captures the mechanical effects of the underlying silicon phase transitions. The cubic diamond Si-I material serves as the parent phase which transforms to a tetragonal Si-II structure upon compression. Subsequent decompression of the Si-II phase initiates the transformation to an amorphous phase. In the constitutive model, an isotropic approach is adopted, whereby the inelastic transformation strains (both volumetric and deviatoric) follow from stress-based criteria. These two models are integrated and the continuum behavior of a silicon scratch is investigated in the context of experimental observations from literature.
为了满足硅晶片对表面的严格要求,有必要对制造方法进行深入研究。通常,切片和研磨操作的加工条件是通过划痕实验确定的,而划痕实验的信息主要来自划痕表面的磨损疤痕。为了更好地理解硅微划痕引起的表面下变形,数值模拟非常重要。为此,本文提出了一种基于连续粒子的微尺度计算方法,以应对两个挑战:(i) 需要一种能够实现机械连续-非连续转变的数值方法;(ii) 一种能够解释由基本相变产生的力学的构成模型。本文涵盖了这两个方面,以模拟硅微划痕的基本原理。首先,本文介绍了最近推出的基于连续粒子的连续粘结法(CBM)的扩展及其在 LAMMPS 中的实施细节。然后,讨论了从文献中提取的硅的无穷小连续非弹性模型的有限应变扩展,该模型捕捉了硅的基本相变的力学效应。立方金刚石 Si-I 材料作为母相,在压缩后转变为四方 Si-II 结构。随后,Si-II 相的减压开始向无定形相转变。在构成模型中,采用了各向同性方法,非弹性转化应变(体积应变和偏差应变)遵循基于应力的标准。这两个模型被整合在一起,并结合文献中的实验观察结果对硅划痕的连续行为进行了研究。
A convergence criterion for sound transmission of single-, double-, and triple-walled cylindrical shell based on Love's, Donnell's and Flügge's shell theories
Ye Renchuan, Zhang Zhihao, Zhang Rui, Yurchenko Daniil, Zhao Na
doi:10.1016/j.tws.2023.111279
基于洛夫、唐纳和弗吕格壳理论的单、双和三层壁圆柱形壳传声收敛准则
Different sound transmission loss (STL) analytical methods based on Love's, Donnell's and Flügge's cylindrical thin-shell theories have been widely used. However, there are no available convergence criterion and formulas of sound transmission losses for multi-layer cylindrical shell structures. The current convergence determination approach is to select several typical frequencies (low, middle, and high frequencies) for convergence analysis, and then estimate the convergence of all other frequencies. This typically results in sound transmission loss jumps, leading to inaccurate sound transmission loss results in the high-frequency region. In this study, a novel convergence criterion and formulas are developed for calculating sound transmission loss mode numbers in the complete convergence zones of single-, double-, and triple-walled cylindrical shells based on Love's, Donnell's, and Flügge's thin shell theories, which can be used to directly determine the truncation iterations for sound transmission losses in all frequency ranges.
基于 Love、Donnell 和 Flügge 圆柱薄壳理论的不同透声损失(STL)分析方法已得到广泛应用。然而,对于多层圆柱形壳体结构,目前还没有可用的声音传输损失收敛标准和公式。目前的收敛性确定方法是选择几个典型频率(低频、中频和高频)进行收敛性分析,然后估计所有其他频率的收敛性。这通常会造成声传输损耗跳跃,导致高频区域的声传输损耗结果不准确。在本研究中,根据洛夫、唐奈和弗吕格薄壳理论,开发了一种新的收敛准则和公式,用于计算单壁、双壁和三壁圆柱壳完全收敛区的传声损耗模式数,可直接用于确定所有频率范围内传声损耗的截断迭代。
Mechanical properties and failure patterns of sandwich panels with AR-glass textile reinforced concrete face sheets subjected to quasi-static load
Yang Ting, Zhu Deju, Chen Chao
doi:10.1016/j.tws.2023.111286
带有 AR 玻璃纤维织物强化混凝土面板的夹芯板在准静态载荷作用下的力学性能和破坏模式
A sandwich panel was prepared with Alkali Resistant-glass textile reinforced concrete (ARG-TRC) as the face sheet and Expanded Polystyrene (EPS) granular mortar as the core in this paper. Afterward, a quasi-static bending test was conducted to investigate the influences of the number of reinforcement layer, core thickness, and interface rib on the bending behaviors and failure of ARG-TRC sandwich panels (ARG-TRC-SPs). On this basis, the elastic bending deformation and ultimate bending capacity were theoretically predicted, and the failure mechanism was analyzed. The results show that ARG-TRC-SPs exhibited three usual failure modes: face sheet bending fracture, core shear, and core crushing. Increasing the reinforcement layers significantly improved the properties of ARG-TRC-SPs but decreased textile utilization. Although the enhancement of the interface rib was dependent on the number of reinforcement layers, it could improve the integrity of ARG-TRC-SPs. There was a suitable core thickness for the ARG-TRC-SPs, and a thicker core did not indicate better mechanical properties. The theoretically predicted elastic deformation and ultimate bending capacity were in good agreement with the test results. However, the contribution of the core and interface ribs was underestimated. These results can provide a valuable reference for researchers and engineers in designing and applying TRC-SPs.
本文以耐碱玻璃纤维增强混凝土(ARG-TRC)为面板,以发泡聚苯乙烯(EPS)颗粒砂浆为芯材,制备了一种夹芯板。随后,进行了准静态弯曲试验,研究加固层数、夹芯厚度和界面肋对 ARG-TRC 夹层板(ARG-TRC-SPs)弯曲行为和破坏的影响。在此基础上,对弹性弯曲变形和极限弯曲承载力进行了理论预测,并分析了其破坏机理。结果表明,ARG-TRC-SPs 通常有三种失效模式:面片弯曲断裂、芯材剪切和芯材挤压。增加加固层可以明显改善 ARG-TRC-SPs 的性能,但降低了纺织品的利用率。虽然界面筋的增强取决于加固层的数量,但它可以改善 ARG-TRC-SPs 的完整性。ARG-TRC-SPs 有一个合适的芯材厚度,芯材越厚并不意味着力学性能越好。理论预测的弹性变形和极限抗弯强度与试验结果十分吻合。然而,芯材和界面肋的贡献被低估了。这些结果可为研究人员和工程师设计和应用 TRC-SPs 提供有价值的参考。