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Prediction of the Durability of a Plate with a Through Crack Taking into Account Biaxial Constraints of Deformations along the Front of a Normal Rupture Crack 考虑法向断裂裂缝前沿变形的双轴约束条件,预测带有贯穿裂缝的钢板的耐久性
IF 0.9 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-07-30 DOI: 10.1134/S0020168524700249
A. M. Pokrovskii, Yu. G. Matvienko, M. P. Egranov
<p>A methodology for evaluating the durability of plate elements of structures taking into account biaxial constraints of deformations along the front of a normal rupture crack (mode I crack) is presented. The absence of the available published data in which the prediction of the crack growth is carried out using <i>T</i><sub><i>xx</i></sub> and <i>T</i><sub><i>zz</i></sub> stresses which are nonsingular terms in the Williams expansion for stresses at the crack tip is noted. The calculation of the fatigue crack growth rate is based on the Paris equation in which the range of the effective SIF is used instead of the range of the usual stress intensity factor (SIF). In this case, the expression for the effective SIF includes <i>T</i><sub><i>xx</i></sub> and <i>T</i><sub><i>zz</i></sub> stresses in addition to the usual SIF. This approach provides taking into account, for example, the thickness of the plate for predicting the durability, which is impossible when only the SIF and <i>T</i><sub><i>xx</i></sub> stresses are used. The formula for the effective SIF is derived on the basis of the assumption that tangential stresses in the pre-fracture zone are equal to the local strength of the material. In this case, the size of the pre-fracture zone and the local strength of the material are determined taking into account <i>T</i><sub><i>xx</i></sub> and <i>T</i><sub><i>zz</i></sub> stresses. The numerical simulation is based on a proprietary finite element program which allows calculating <i>T</i><sub><i>xx</i></sub> and <i>T</i><sub><i>zz</i></sub> stresses at the front of a through crack in a plate subjected to cyclic uniaxial and biaxial tension. It is shown that nonsingular <i>T</i><sub><i>xx</i></sub> stresses primarily describe the effect of biaxial loading on the survivability, whereas <i>T</i><sub><i>zz</i></sub> stresses describe the effect of the plate thickness on the survivability. It is shown that, with increasing thickness of the plate, the value of the effective SIF increases owing to the increased constraint along the crack front, thus increasing the crack growth rate and decreasing the survivability. With an increase in the stress ratio <i>R</i>, under the condition of a constant stress range, the maximum effective SIF reaches the critical value equal to the fracture toughness much faster, thus reducing the durability. It is shown that, for uniaxial cyclic tension, the durability predicted by the proposed methodology is higher than that in the classical approach, when the conventional SIF is used in the Paris equation. For biaxial cyclic tension of a plate, an increase in stresses directed parallel to the crack banks leads to an increase in crack front constraints and therefore to a decrease in the durability compared to the classical approach. In other words, the classical theory does not always provide a conservative estimate of the durability, which indicates the expediency of using the developed method for calculating the durability
摘要 介绍了一种评估结构板件耐久性的方法,该方法考虑到了法向断裂裂纹(I 型裂纹)前沿变形的双轴约束。在已公布的数据中,没有使用 Txx 和 Tzz 应力预测裂纹生长的数据,而这些应力是威廉姆斯扩展法中裂纹顶端应力的非正弦项。疲劳裂纹生长率的计算基于巴黎方程,其中使用了有效 SIF 的范围,而不是通常的应力强度因子 (SIF) 的范围。在这种情况下,除了通常的 SIF 之外,有效 SIF 的表达式还包括 Txx 和 Tzz 应力。这种方法可以在预测耐久性时考虑板的厚度等因素,而只使用 SIF 和 Txx 应力时则无法做到这一点。有效 SIF 的计算公式是根据断裂前区域的切向应力等于材料的局部强度这一假设得出的。在这种情况下,预断裂带的大小和材料的局部强度是在考虑了 Txx 和 Tzz 应力后确定的。数值模拟基于专有的有限元程序,该程序可以计算板材在周期性单轴和双轴拉伸作用下,通向裂缝前端的 Txx 和 Tzz 应力。结果表明,非正弦 Txx 应力主要描述了双轴加载对存活率的影响,而 Tzz 应力则描述了板厚度对存活率的影响。研究表明,随着板厚度的增加,有效 SIF 值也会增加,这是由于沿裂纹前沿的约束增加,从而增加了裂纹生长率,降低了存活率。在应力范围恒定的条件下,随着应力比 R 的增加,最大有效 SIF 更快地达到与断裂韧性相等的临界值,从而降低了耐久性。研究表明,对于单轴循环拉伸,如果在巴黎方程中使用传统的 SIF,建议方法预测的耐久性要高于经典方法。对于板材的双轴周期拉伸,平行于裂纹岸的应力增加会导致裂纹前约束增加,从而导致耐久性比传统方法降低。换句话说,经典理论并不总能提供保守的耐久性估计值,这表明使用所开发的方法计算耐久性时,考虑到沿裂纹前沿变形的双轴约束,是一种权宜之计。
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引用次数: 0
Simulation of the Modes of Medium Flow Movement through a Gas Pipeline during Corrosion Tests 腐蚀试验期间天然气管道介质流动模式模拟
IF 0.9 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-07-30 DOI: 10.1134/S0020168524700158
R. K. Vagapov, K. A. Ibatullin, V. V. Yarkovoy

Elevated concentrations of corrosive carbon dioxide or hydrogen sulfide in gas and gas condensate both produced and transported through pipelines lead to serious corrosion damage to the internal surfaces of steel infrastructure facilities. The paper presents the results of studying the corrosive effect of the medium flow along the lower component of the gas pipeline, which can exhibit a dynamic, intermittent, or static character. During testing, the effect of both dynamic conditions of the medium flow on the U-shaped cell and static conditions of the permanent impact of the aqueous phase on the pipeline wall during the bubble test was evaluated. Modeling of variable wetting conditions inside the gas pipeline showed that such conditions are typical and occur upon production and transportation of raw gas to the places of gas processing and purification. We have simulated dangerous operational factors that occur inside the gas pipeline: the composition of the aquatic environment, temperature, and the content of corrosive gases. When determining the resistance of steels to local forms of corrosion (pitting, wide and shallow corrosion pits), we revealed that the rate of developing local and general corrosion of steel in aggressive carbon dioxide and hydrogen sulfide conditions can reach 2–3 mm/year. In addition, it has been shown that the use of corrosion inhibitors for protecting the equipment and pipelines of gas facilities can effectively prevent the occurrence of internal corrosion processes. The results obtained can be used in assessing the corrosion activity of operating media and selecting the most proven corrosion inhibitors for pilot testing at gas fields.

摘要 在通过管道生产和运输的天然气和天然气凝析油中,腐蚀性二氧化碳或硫化氢浓度的升高会对钢制基础设施的内表面造成严重的腐蚀破坏。本文介绍了沿天然气管道下部的介质流腐蚀效应的研究结果,介质流可能呈现动态、间歇或静态特征。在测试过程中,评估了介质流对 U 型电池的动态影响,以及水相在气泡测试过程中对管道壁的永久影响。天然气管道内可变湿润条件的建模表明,这种条件是典型的,在生产和运输原料天然气到天然气处理和净化场所时会出现。我们模拟了天然气管道内的危险操作因素:水环境成分、温度和腐蚀性气体含量。在确定钢材对局部腐蚀(点蚀、宽而浅的腐蚀坑)的抗性时,我们发现,在二氧化碳和硫化氢的侵蚀条件下,钢材的局部和整体腐蚀发展速度可达 2-3 毫米/年。此外,研究还表明,使用缓蚀剂保护天然气设施的设备和管道可以有效防止内部腐蚀过程的发生。所获得的结果可用于评估运行介质的腐蚀活性,并选择最行之有效的缓蚀剂在气田进行试点测试。
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引用次数: 0
Influence of the Scale Factor on the Young’s Modulus of Steel Determined by the Tensile Strength of the Specimens 比例因子对通过试样拉伸强度确定的钢材杨氏模量的影响
IF 0.9 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-07-30 DOI: 10.1134/S0020168524700225
V. M. Matyunin, A. Yu. Marchenkov, M. V. Goryachkina, A. Yu. Poroykov, D. A. Zhgut, M. A. Karimbekov, A. A. Pankina

The modulus of elasticity is considered a fairly stable physicomechanical characteristic of materials, which is little dependent on their composition and structure. Among the factors influencing the modulus of elasticity, temperature and anisotropy are distinguished. Information about the influence of scale factor on the modulus of elasticity is quite limited and sometimes contradictory. The aim of this study is to investigate the influence of the scale factor on the elastic modulus of steel 45 determined by tension geometrically similar specimens with different initial diameters. The specimens were tested on an Instron 8801 universal testing machine at a deformation rate of 0.1 mm/min at room temperature. Elastic deformations during tension were measured using two methods—with the help of a strain gauge and the digital image correlation method. Both methods showed fairly close results when testing specimens of the same diameter. However, the digital image correlation method allowed for measurements of elastic deformations on specimens with small diameters, where it was not possible to attach a strain gauge. A decrease in the modulus of elasticity with an increase in the initial diameter of the specimen was established. Graphical dependences of the modulus of elasticity on the diameter of the specimen and the area of its cross section were obtained. Possible reasons for the decrease in the modulus of elasticity under the influence of the scale factor are outlined. A decrease in specific surface area and specific surface energy, an increase in the deformable volume, and a decrease in the deformation rate at a constant deformation speed are among the main reasons. The decrease in the modulus of elasticity under the influence of the scale factor should be taken into account in strength calculations and when assessing the residual life of parts and structures with relatively large cross sections and wall thicknesses.

摘要 弹性模量被认为是材料的一种相当稳定的物理机械特性,它与材料的成分和结构关系不大。影响弹性模量的因素主要有温度和各向异性。有关比例因子对弹性模量影响的信息非常有限,有时甚至相互矛盾。本研究的目的是调查尺度因子对 45 号钢弹性模量的影响,该弹性模量是通过拉伸初始直径不同的几何相似试样确定的。试样在 Instron 8801 万能试验机上进行测试,室温下的变形速率为 0.1 毫米/分钟。拉伸过程中的弹性变形采用两种方法测量--应变仪和数字图像相关法。在测试相同直径的试样时,两种方法都显示出相当接近的结果。不过,数字图像相关法可以测量直径较小的试样的弹性变形,因为在这些试样上无法安装应变仪。结果表明,弹性模量随着试样初始直径的增大而减小。得出了弹性模量与试样直径及其横截面积的图表关系。概述了在比例因子影响下弹性模量下降的可能原因。比表面积和比表面能的减少、可变形体积的增加以及恒定变形速度下变形率的降低是主要原因。在强度计算和评估具有相对较大横截面和壁厚的零件和结构的残余寿命时,应考虑到比例因子影响下弹性模量的降低。
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引用次数: 0
Evaluation of Embrittlement of Construction Steels by Microindentation 用微压痕法评估建筑钢材的脆性
IF 0.9 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-07-30 DOI: 10.1134/S0020168524700262
A. E. Zorin, A. S. Romantsov

The mechanical characteristics of a metal are determined by a combination of three groups of factors: the chemical composition, the structural features, and the deformation ability of the structure, i.e., the ability of elements to relax internal stresses during deformation through dislocation sliding which does not lead to the crack formation and destruction. The possibility of using microindentation to assess the deformation ability of the structure of structural steels with a relatively high ductility is the goal of the study. The theoretical analysis revealed that an increase in the stiffness and a decrease in the plasticity of a metal leads to a change in the deformation model during indentation and, in particular, to the occurrence of deformation effects of various morphologies on the surface near the imprint, which can be indicative of the metal plasticity. Experimental studies performed on pipe steels of various strength and types of structure confirmed that, as the deformation ability of the metal decreases (primarily as a result of deformation hardening), a system of localized shears is formed near the imprint along the lines of action of maximum tangential stresses. A scale for ranking data of localized shears is proposed, and the optimal load value and shape of the indenter which provide gaining maximum information by microindentation are determined. A methodology for assessing the embrittlement of plastic construction steels on the basis of the results of microindentation has been developed, which can form a basis for creating an effective technology of nondestructive evaluation of the metal state.

摘要 金属的机械特性由三组因素共同决定:化学成分、结构特征和结构的变形能力,即元素在变形过程中通过位错滑动放松内应力而不会导致裂纹形成和破坏的能力。利用微压痕技术评估延展性相对较高的结构钢的结构变形能力是本研究的目标。理论分析表明,金属刚度的增加和塑性的降低会导致压痕过程中变形模型的改变,特别是在压痕附近的表面会出现各种形态的变形效应,这可以表明金属的塑性。对不同强度和结构类型的管材钢进行的实验研究证实,随着金属变形能力的降低(主要是变形硬化的结果),在压痕附近会沿着最大切向应力的作用线形成局部剪切系统。提出了一种局部剪切数据排序表,并确定了通过微压痕获得最大信息的最佳载荷值和压头形状。根据微压痕的结果,开发了一种评估塑性建筑钢材脆性的方法,该方法可为创建金属状态无损评估的有效技术奠定基础。
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引用次数: 0
Wear Regimes of Hot-Extruded Babbitt-Based Composites 热挤压巴氏合金基复合材料的磨损机制
IF 0.9 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-07-30 DOI: 10.1134/S0020168524700304
P. A. Bykov, I. E. Kalashnikov, L. I. Kobeleva, I. V. Katin, R. S. Mikheev

The paper deals with the effect of Ti2NbAl intermetallic additives on the friction processes of hot-extruded B83 babbitt specimens. Optical and electron microscopy and energy-dispersive analysis were used. The structure, friction surface, and wear products were studied. Tribological tests were performed under dry sliding friction conditions using a universal testing machine according to an axial loading scheme of a steel sleeve to a disk made of the test material. The values of temperature near the friction zone were recorded during tests. The applications of the material depend on the wear regimes and mechanisms occurring in the tribocontact. Changes in wear regimes and mechanisms were assessed in terms of differences in the behavior of the friction coefficient and temperature, differences in the condition of friction surfaces and wear rates, and products of wear. The results suggest that hot pressing of powder containing the alloy B83 and discrete particles of the high-strength intermetallic phase Ti2NbAl is a promising method for producing composite materials with better tribological properties than the babbitt alloy. The introduction of reinforcing high-modulus particles of intermetallic compounds changed the structure of the material and affected the friction processes in the babbitt alloy, delaying the moment when wear regimes shifted into the zone of more severe friction conditions. A substantial reduction in the wear rate of the produced composite materials compared to the initial alloy makes it possible to predict the increase in the service life of tribounits. These data can help determine and recommend the regimes for increasing the service life of tribounits based on B83 alloy as volumetric liners and plain bearings (or sliding bearings), as well as produce new functionally structured layer compositions having enhanced tribological properties, which are based on structural steels and surface coatings using not only B83 babbitt alloy but also its composite materials.

摘要 本文论述了 Ti2NbAl 金属间添加剂对热挤压 B83 巴比妥试样摩擦过程的影响。采用了光学显微镜、电子显微镜和能量色散分析。对试样的结构、摩擦表面和磨损产物进行了研究。在干滑动摩擦条件下,使用万能试验机按照钢套筒对试验材料圆盘的轴向加载方案进行了摩擦学试验。试验期间记录了摩擦区附近的温度值。材料的应用取决于摩擦接触中发生的磨损情况和机制。根据摩擦系数和温度行为的差异、摩擦表面状况和磨损率的差异以及磨损产物,评估了磨损机制的变化。结果表明,热压含有合金 B83 和高强度金属间相 Ti2NbAl 的离散颗粒的粉末是一种很有前途的方法,可以生产出比巴比特合金具有更好摩擦学特性的复合材料。高模量金属间化合物增强颗粒的引入改变了材料的结构,影响了巴比特合金的摩擦过程,推迟了磨损机制转入更严重摩擦条件区的时间。与初始合金相比,生产出的复合材料的磨损率大幅降低,这使得预测摩擦片使用寿命的延长成为可能。这些数据有助于确定和推荐延长以 B83 合金为基础的摩擦衬垫和滑动轴承(或滑动轴承)使用寿命的机制,以及生产具有更强摩擦学特性的新功能结构层组合物,这些组合物不仅基于 B83 巴比特合金,还基于其复合材料的结构钢和表面涂层。
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引用次数: 0
Determination of the Temperature Dependence of the Fracture Toughness of the Metal of a Thick-Walled Shell Taking into Account the Inhomogeneity of the Material 在考虑材料不均匀性的情况下确定厚壁壳体金属断裂韧性的温度依赖性
IF 0.9 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-07-30 DOI: 10.1134/S0020168524700171
A. G. Kazantsev, V. N. Skorobogatykh, E. V. Pogorelov, V. A. Piminov, S. Yu. Korolev

Estimates of the reference temperature T0 obtained for the base metal and the weld-seam metal of the Cr–Ni–Mo–V type (shell 200 mm thick) on the basis of statistical modeling by the Monte Carlo method are presented. T0 was determined according to the ASTM E1921 standard taking into account the inhomogeneity of the material. The sample size of the fracture toughness values KJC for T0 modeling was 12, 24, and 70. The Monte Carlo method was used for analysis of the correctness of metal identification (homogeneous/inhomogeneous). It is shown that sampling of 12 samples does not provide a reliable determination of whether the metal is homogeneous or inhomogeneous (incorrect results were obtained in 50% of cases for the base metal and in 37% of cases for the weld-seam metal). When the sample size increased to 24 samples, incorrect results were obtained in 5% of cases. The T0 values with allowance for the material inhomogeneity were determined in two ways: using a screening procedure and proceeding from the actual bimodal representation of the fracture toughness distribution (parameters of the bimodal distribution were determined by the maximum likelihood method). It is shown that both methods give close results for the base and weld-seam metal, the magnitude of the shift toward positive values in the average T0 values determined with allowance for the inhomogeneity being about 22°C. Using the obtained T0 estimates, the lower envelopes of the temperature curves of the fracture toughness are constructed (master curves for 5% failure probability).

摘要 本文介绍了在蒙特卡洛法统计建模的基础上获得的铬-镍-钼-钒型母材和焊缝金属(壳体厚 200 毫米)的参考温度 T0 估计值。T0 根据 ASTM E1921 标准确定,并考虑了材料的不均匀性。用于 T0 建模的断裂韧性值 KJC 的样本量分别为 12、24 和 70。Monte Carlo 方法用于分析金属识别(均质/非均质)的正确性。结果表明,对 12 个样本进行取样并不能可靠地确定金属是均质还是不均质(50% 的情况下母材结果不正确,37% 的情况下焊缝金属结果不正确)。当样本量增加到 24 个样本时,5% 的情况下结果不正确。考虑到材料不均匀性的 T0 值有两种确定方法:一种是使用筛选程序,另一种是根据断裂韧性分布的实际双峰表示(双峰分布参数由最大似然法确定)。结果表明,这两种方法对母材和焊缝金属都给出了接近的结果,在考虑不均匀性的情况下确定的平均 T0 值向正值移动的幅度约为 22°C。利用获得的 T0 估计值,构建了断裂韧性温度曲线的下包络线(失效概率为 5%的主曲线)。
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引用次数: 0
Reconstruction of the Orientation Distribution Function for Materials with Low Lattice and Sample Symmetry Using the Harmonic Method 使用谐波法重建低晶格和样品对称性材料的方向分布函数
IF 0.9 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-07-30 DOI: 10.1134/S0020168524700146
A. S. Kolyanova

Many properties of polycrystalline materials depend on their crystallographic texture, which can be fully described by the orientation distribution function (ODF). The main task of quantitative texture analysis is to reconstruct the ODF from its two-dimensional projections, which are obtained through X-ray or neutron diffraction methods. In this work, the results of ODF reconstruction for materials with low lattice and sample symmetry using the harmonic method are presented. The method is based on expanding the ODF in a Fourier series using three-dimensional symmetric spherical functions. Real functions which are linear combinations of corresponding complex spherical functions were used. A model single-component texture and the texture of a magnesium alloy sample subjected to equal-channel angular pressing were investigated. Both textures exhibit hexagonal lattice symmetry and triclinic sample symmetry. In both cases, the RP-factor values and the error of ODF calculation, used to check the adequacy of the solution, showed good agreement between the calculated and original data. It was also found that the ODF of the magnesium alloy sample contains two texture components ((bar {1})2(bar {1})6)[(bar {1})211] and ((bar {1})2(bar {1})6)[(bar {1})2(bar {1})1] with maximum intensities of 13.81 and 2.23, respectively. The obtained results can be used in texture studies of ceramics, rocks, and other nonmetallic materials with low symmetry.

摘要 多晶材料的许多特性取决于其晶体纹理,而晶体纹理可以用取向分布函数(ODF)来完全描述。定量纹理分析的主要任务是通过 X 射线或中子衍射方法获得的二维投影重建 ODF。在这项工作中,介绍了使用谐波法重建低晶格和样品对称性材料的 ODF 的结果。该方法基于使用三维对称球形函数在傅里叶级数中展开 ODF。所使用的实函数是相应复球面函数的线性组合。研究了单组分纹理模型和镁合金样品在等通道角压下的纹理。两种纹理都具有六方晶格对称性和三菱样品对称性。在这两种情况下,用于检验解决方案是否充分的 RP 因子值和 ODF 计算误差在计算数据和原始数据之间显示出良好的一致性。研究还发现,镁合金样品的ODF包含两个纹理成分((bar {1})2(bar {1})6)[(bar {1})211]和((bar {1})2(bar {1})6)[(bar {1})2(bar {1})1],最大强度分别为13.81和2.23。所得结果可用于陶瓷、岩石和其他对称性较低的非金属材料的纹理研究。
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引用次数: 0
On the Features of Inhomogeneous Residual Stress Identification Using the Digital Speckle Interferometry and the Hole-Drilling Method 论利用数字斑点干涉测量法和钻孔法识别非均质残余应力的特征
IF 0.9 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-07-30 DOI: 10.1134/S0020168524700316
A. S. Plotnikov, E. B. Zavoychinskaya

A phenomenological approach to the actual problem of determining the inhomogeneous residual stress-strain state in the components of high-tech engineering systems at the stages of their design and operation is presented. The approach is based on physical and mechanical methods of measuring displacements. Current physical models describe the physical regularities of the residual states attributed to changes in the structure by the interaction of defects and dislocations in the field of micro- and meso-stresses. At the same time, there are the problems of the transition to the macrolevel, the construction of multilevel models, and the conversion of these models in engineering practice. In the framework of phenomenological approaches, in the general case, the solution of this problem requires the solution of three-dimensional inverse problems of thermoelasticity. A well-known mechanical method for determining a uniform field of residual elastic stresses recommended by ASTM E837 is described. The method proposed earlier by one of the authors for determining an inhomogeneous (in the plane) field of residual elastic stresses is discussed. A method of the three-dimensional inhomogeneous residual elastic stress-strain state determination based on the experimental determination of the displacement vector components by the method of step-by-step point hole-drilling and data of digital speckle interferometry and digital image correlation is developed. The constitutive relations for the components of the displacement vector are written in the form of Volterra integral operators. The basic operator functions are the functions of four variables, i.e., the coordinates of the cylindrical system (r, θ, z) associated with the hole and the hole depth h. A method for verification of the basic functions is presented. The problem is reduced to the determination of three displacement functions of three variables: hole radius r, h, and z. Numerical simulation of basic functions is carried out. The obtained results are consistent with the known experimental data and calculated values of the deformation on the surface depending on the depth of the hole according to the ASTM E837 standard.

摘要 针对高科技工程系统部件在设计和运行阶段的不均匀残余应力-应变状态的实际问题,介绍了一种现象学方法。该方法基于测量位移的物理和机械方法。当前的物理模型描述了残余状态的物理规律性,这些残余状态归因于微应力和介应力场中缺陷和位错相互作用导致的结构变化。同时,还存在向宏观层面过渡、构建多层次模型以及在工程实践中转换这些模型的问题。在现象学方法的框架内,在一般情况下,该问题的解决需要解决热弹性的三维逆问题。本文介绍了 ASTM E837 推荐的确定残余弹性应力均匀场的著名力学方法。还讨论了其中一位作者早先提出的确定不均匀(平面内)残余弹性应力场的方法。根据逐步点钻孔法对位移矢量分量的实验测定以及数字斑点干涉测量和数字图像相关数据,开发了一种三维非均质残余弹性应力-应变状态测定方法。位移矢量分量的构成关系以 Volterra 积分算子的形式书写。基本算子函数是四个变量的函数,即与孔和孔深 h 相关的圆柱系统坐标 (r, θ, z)。问题简化为确定孔半径 r、h 和 z 这三个变量的三个位移函数。获得的结果与已知的实验数据和根据 ASTM E837 标准计算的孔深度表面变形值一致。
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引用次数: 0
Refined Method for Estimating the Interlayer Shear Modulus by Correcting the Deflection of Polymer Composite Specimens 通过修正聚合物复合材料试样挠度估算层间剪切模量的改进方法
IF 0.9 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-07-30 DOI: 10.1134/S0020168524700183
A. N. Polilov, D. D. Vlasov, N. A. Tatus

The shear and interlayer characteristics of polymer fiber composites, in contrast to metals, play a decisive role in the deformation and fracture processes. In view of this, special methods have been developed to determine the interlayer flexional strength of a short beam and the interlayer shear modulus by the deflection correction. At the same time, the accepted hypotheses about the distribution of shear stresses, for example, those based on the Zhuravsky formula, are too simple and do not provide the determination of the correction and calculation of the shear modulus with a high accuracy. The use of the Saint-Venant–Lekhnitzky solution for an orthotropic beam instead of the simplest parabolic distribution potentially makes it possible to take into account all shear stresses occurring in a beam and their distribution over the beam height and width, which should increase the accuracy of determining the deflection correction and interlayer shear modulus, respectively. Since the strict solution is presented in a series of hyperbolic functions, its practical use is rather difficult. In this study, an exact approximation of the strict solution by simpler quadratic dependences is proposed, which makes it possible to determine the deflection correction and shear modulus with a high accuracy. It is shown using the proposed approximation that, for real beam-type composite specimens, the use of the refined shear stress distribution with allowance for the nonuniformity of stresses over the beam width yields a deflection correction negligibly small as compared with the case of the simplified parabolic distribution according to the Zhuravsky formula. The numerical verification using the finite element method has been carried out. Special three-point bending tests of fiberglass specimens of different widths have also showed no deflection growth with increasing beam width, which points out an insignificant impact of the heterogeneity of shear stresses on the deflection.

摘要与金属相比,聚合物纤维复合材料的剪切和层间特性在变形和断裂过程中起着决定性作用。有鉴于此,我们开发了特殊方法,通过挠度修正来确定短梁的层间抗弯强度和层间剪切模量。同时,关于剪应力分布的公认假设,例如基于 Zhuravsky 公式的假设,过于简单,无法提供高精度的校正确定和剪切模量计算。对正交梁采用 Saint-Venant-Lekhnitzky 解法,而不是最简单的抛物线分布,有可能考虑到梁中出现的所有剪应力及其在梁高和梁宽上的分布,从而分别提高确定挠度修正和层间剪切模量的精度。由于严格的解法是以一系列双曲函数的形式呈现的,因此其实际应用相当困难。本研究提出了用更简单的二次函数对严格解进行精确近似的方法,从而可以高精度地确定挠度修正和剪切模量。使用所提出的近似方法表明,对于实际的梁型复合材料试样,在考虑到梁宽度上应力不均匀性的情况下,使用细化的剪应力分布与根据 Zhuravsky 公式简化的抛物线分布相比,所产生的挠度修正小得可以忽略不计。使用有限元方法进行了数值验证。对不同宽度的玻璃纤维试样进行的特殊三点弯曲试验也表明,挠度不会随着梁宽的增加而增加,这说明剪应力的异质性对挠度的影响微乎其微。
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引用次数: 0
Fields of Residual Stresses near Open Assemblage Holes of Aircraft Wing Panel 飞机机翼面板装配孔附近的残余应力场
IF 0.9 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-07-30 DOI: 10.1134/S0020168524700298
S. I. Eleonsky, M. D. Zaitsev, Yu. G. Matvienko, V. S. Pisarev

The results of fatigue tests of two geometrically identical and similar in design models of the lower wing panel of a commercial aircraft were analyzed. The panels differed in the way of installing mounting bolts, which connect the skin and stringers. Cold expansion of holes drilled both in the skin and stringer was performed for the first panel before joining. The second panel included no additional treatment after drilling pilot holes and final reaming. The bolts were mounted with an interference fit varying from 1.3 to 2.1% and from 2.9 to 3.2% for the first and the second panel, respectively. Changes in the interference fit were the consequence of a scatter attributed to the presence of a tolerance zone for the diameters of both bolts and mounting holes. A two-step comparison of both technologies was based on the experimental study of residual stress fields. The first stage, being a subject of the present study, included the analysis of residual stress fields arising after removal of the bolts and separation of the skin from stringers. Hole drilling and gradual crack growth were used to determine the components of residual stresses. The deformation response was measured by electronic speckle pattern interferometry. High quality interferograms, which provided a reliable resolution of the interference fringes of ultimate density over the hole edge or directly along the notch borders, were obtained for both ways of local removal of the material. The first (pointwise) method, based on drilling a probe hole, provided a quantitative determination of the residual stress components, starting from 1.4 mm distance from the assemblage hole edge. The second technique implements the crack compliance method of subsequent lengthening of the notch, starting directly from the mounting hole edge. This approach provided for a quantitative analysis of residual stress fields, related to different bolt mounting technologies, proceeding from the comparison of SIF values. A high level of compressive residual stresses near open holes was characteristic for both types of panels. Both experimental approaches showed the benefits of joints, where bolts are mounted into cold-expanded (reinforced) holes. For this case, the estimation of the relaxation parameters of the principal component of residual stresses in the direction of the external load is presented.

摘要 分析了两架几何形状相同、设计相似的商用飞机下翼板模型的疲劳试验结果。这两种机翼面板在连接蒙皮和弦杆的安装螺栓方式上有所不同。第一块面板在连接前对蒙皮和弦杆上的钻孔进行了冷膨胀处理。第二块面板在钻孔和最后铰孔之后没有进行额外处理。安装螺栓时,第一块面板和第二块面板的过盈配合分别为 1.3%至 2.1%和 2.9%至 3.2%。过盈配合的变化是由于螺栓和安装孔的直径存在公差带而造成的。根据残余应力场的实验研究,对两种技术进行了两步比较。第一阶段是本研究的主题,包括分析螺栓拆除和蒙皮与弦杆分离后产生的残余应力场。采用钻孔和裂纹逐渐增长的方法来确定残余应力的成分。变形响应是通过电子斑点模式干涉仪测量的。两种局部去除材料的方法都能获得高质量的干涉图,对孔边缘或直接沿缺口边界的极限密度干涉条纹提供可靠的分辨率。第一种(点式)方法以钻探孔为基础,从距装配孔边缘 1.4 毫米处开始定量测定残余应力成分。第二种技术采用了裂纹顺应法,即直接从装配孔边缘开始,对缺口进行后续加长。这种方法通过比较 SIF 值,对与不同螺栓安装技术相关的残余应力场进行了定量分析。两种类型的面板在开孔附近都存在较高的压缩残余应力。两种实验方法都显示了将螺栓安装到冷膨胀(加固)孔中的接头的优点。针对这种情况,介绍了外部载荷方向残余应力主分量松弛参数的估算。
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引用次数: 0
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Inorganic Materials
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