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Mixed Scheme of the Finite Element Method as a Basis for Computational Analysis of Model Crack Mechanics Problems 作为模型裂缝力学问题计算分析基础的有限元法混合方案
IF 0.7 4区 材料科学 Q4 Engineering Pub Date : 2024-02-28 DOI: 10.1007/s11223-024-00601-3
O. Yu. Chirkov

The application and comparison of different fracture mechanics concepts are discussed to be used in computing stress intensity factors (SIF) from the numerical solutions of model crack theory problems with a mixed scheme of the finite element method. Approximation of displacements rests on piecewise-linear interpolation functions with triangular elements, and strain and stress distributions are approximated by the linear combination that includes the piecewise-linear interpolation and interior bell function. The latter ensures the stability and convergence of the approximate discrete problem solution. The solution results for linear elastic and elastoplastic model plane central mode I crack-strip tension problems under different loading and plane strain state conditions are presented. Elastoplastic calculations were made with an ideal elastoplastic material model. The application of the energy balance and G-integral concepts to the calculation of the specific work of fracture at the stationary crack tip is substantiated. It is shown that on condition of uniform plate partition in the vicinity of the crack tip, the application of those concepts to SIF calculation for one loading stage is consistent with the Irwin plastic zone correction, maintaining this approach in further mesh thickening. Elastoplastic calculations on repeated loading demonstrated that tensile stresses ahead of the crack tip were about the same as on the initial one, but the opening at the crack tip on the former was larger than on the latter, and this effect was most pronounced for the first half of active loading values. Several aspects of SIF calculations on repeated loading are presented.

本文讨论了不同断裂力学概念的应用和比较,这些概念可用于利用有限元法的混合方案从模型裂纹理论问题的数值解中计算应力强度因子(SIF)。位移的近似依赖于三角形元素的片断线性插值函数,应变和应力分布则通过包括片断线性插值和内部钟形函数的线性组合来近似。后者确保了近似离散问题解的稳定性和收敛性。文中给出了不同荷载和平面应变状态条件下线性弹性和弹塑性模型平面中心模 I 裂缝带拉伸问题的求解结果。弹塑性计算采用理想的弹塑性材料模型。能量平衡和 G 积分概念在静止裂纹尖端断裂比功计算中的应用得到了证实。结果表明,在裂纹尖端附近板块均匀分隔的条件下,将这些概念应用于一个加载阶段的 SIF 计算与欧文塑性区修正是一致的,在进一步加厚网格时保持这种方法。对重复加载进行的弹塑性计算表明,裂纹尖端前方的拉应力与初始加载大致相同,但前者裂纹尖端的开口大于后者,而且这种影响在有效加载值的前半部分最为明显。本文介绍了重复加载 SIF 计算的几个方面。
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引用次数: 0
Self-Similar Fractal Characteristics of Phosphorus Slag Powder Particles and its Effect on the Mechanical Properties of Cementitious Systems 磷渣粉颗粒的自相似分形特征及其对水泥基体系力学性能的影响
IF 0.7 4区 材料科学 Q4 Engineering Pub Date : 2024-02-28 DOI: 10.1007/s11223-024-00618-8
X. L. Ge, H. Y. Xu, W. B. Liu, H. Wang, H. Yang

Firstly, this paper used a laser particle size analyzer to test the particle size distribution characteristics of four specific surface areas of phosphate slag powder particles. Then, it used the powder fractal theory to determine the fractal dimension of the different specific surface areas of the phosphate slag powder particle group. Finally, the effect of the fractal dimension of the phosphate slag powder particle group on the mechanical strength and activity index of the phosphate slag powder-cement cementitious system at 3 d, 28 d, and 180 d ages were studied. The results showed that the phosphate slag powder with different specific surface areas has self-similar fractal characteristics; the larger the specific surface area of phosphate slag powder, the higher the fractal dimension, and the fractal dimension of phosphate slag powder particle can characterize the properties of phosphate slag powder’s fineness and particle gradation in the process of grinding and refining. The phosphorus slag powder particle fractal dimension, the mechanical strength, and activity index of the phosphorus slag powder-cement cementitious system have linear correlation characteristics; the larger the fractal dimension, the higher the mechanical strength and activity index of the cementitious system with phosphate slag powder.

首先,本文使用激光粒度分析仪测试了四种比表面积磷矿渣粉末颗粒的粒度分布特征。然后,利用粉末分形理论确定了不同比表面积磷矿渣粉末颗粒组的分形维数。最后,研究了磷矿粉颗粒组的分形尺寸对磷矿粉-水泥胶凝体系在 3 d、28 d 和 180 d 龄期的机械强度和活性指数的影响。结果表明,不同比表面积的磷矿渣粉具有自相似的分形特征;磷矿渣粉的比表面积越大,分形维数越高,磷矿渣粉颗粒的分形维数可以表征磷矿渣粉在粉磨和细化过程中细度和颗粒级配的特性。磷渣粉颗粒分形维数、磷渣粉-水泥胶凝体系的力学强度和活性指数具有线性相关的特点,分形维数越大,磷渣粉胶凝体系的力学强度和活性指数越高。
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引用次数: 0
Brittle Fracture Resistance of the Reflection Shield of a WWER-1000 Reactorunder Normal Operating and Emergency Conditions WWER-1000 反应堆反射罩在正常运行和紧急状态下的抗脆性断裂性能
IF 0.7 4区 材料科学 Q4 Engineering Pub Date : 2024-02-28 DOI: 10.1007/s11223-024-00602-2
O. V. Makhnenko, S. M. Kandala

To date, most WWER-1000 nuclear power units in Ukraine have reached the end of their design life (30 years). In view of this, work is under way to extend the service life of critical equipment elements beyond the design life (to up to 60 years). In addition to reactor vessels, these critical elements include vessel internals (VI). One of the key approaches in such works is a predictive assessment of the structural integrity of VI structures using mathematical modeling of physical processes typical for power unit operation under intense radiation exposure of structural material. The service life prediction methodology constantly requires refining and taking into account more factors affecting structural integrity. The paper considers the kinetics of changes in the stress intensity factor for postulated cracks in the reflection shield of WWER-1000 VIs during long-term operation and at the time of reactor emergency during the rupture of primary coolant circuit pipelines with a nominal diameter of 100 to 850 mm in the most dangerous areas in terms of brittle fracture resistance. A significant impact of taking into account the residual stresses formed as a result of welding and heat treatment of the reflection shield during manufacturing on the results of calculating the brittle fracture resistance was revealed, which may affect the conservatism of assessment methods when justifying long-term operation.

迄今为止,乌克兰的大多数 WWER-1000 核电机组都已达到设计寿命(30 年)。有鉴于此,目前正在努力延长关键设备元件的使用寿命,使其超过设计寿命(长达 60 年)。除反应堆容器外,这些关键部件还包括容器内件(VI)。这些工作的主要方法之一是利用数学模型对结构材料在强辐射照射下的典型动力装置运行物理过程进行预测,从而对 VI 结构的结构完整性进行评估。使用寿命预测方法需要不断完善,并考虑更多影响结构完整性的因素。本文研究了 WWER-1000 六代核反应堆在长期运行过程中,以及在反应堆紧急状态下,公称直径为 100 至 850 毫米的一次冷却剂回路管道在脆性断裂抗力最危险的区域破裂时,反射罩上假定裂纹的应力强度因子的变化动力学。考虑到制造过程中反射罩焊接和热处理形成的残余应力对计算抗脆性断裂能力的结果有重大影响,这可能会影响评估方法在证明长期运行合理性时的保守性。
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引用次数: 0
Performance Study on a High-Strength Extruded Magnesium Alloy Van Frame Using FEA 利用有限元分析对高强度挤压镁合金厢式车架进行性能研究
IF 0.7 4区 材料科学 Q4 Engineering Pub Date : 2024-02-28 DOI: 10.1007/s11223-024-00619-7

Due to critical vibration and excess weight in the frame structure of the automobile, the automobile acceleration effects are the primary problems. This paper describes the material selection based on its weight, vibration reduction, and increasing vehicle performance. The front cabins heavy-duty van frame was considered for this research work and designed according to the frame dimension. Generally, the frame is made of mild steel and replaced by high-strength extrusion magnesium alloy. The frame structures crash and impact analysis was investigated using nonlinear buckling and transient analysis. The stress, vibration and nonlinear buckling analysis was obtained under different loading conditions. The bending performance of the frame was analytically investigated and verified with the FEA code (ANSYS 15.0).

由于汽车车架结构中的临界振动和超重,汽车加速效应成为首要问题。本文介绍了基于重量、减振和提高汽车性能的材料选择。本研究工作考虑了重型厢式车前部车架,并根据车架尺寸进行了设计。一般情况下,车架由低碳钢制成,后改为高强度挤压镁合金。采用非线性屈曲和瞬态分析方法对车架结构的碰撞和冲击分析进行了研究。在不同的加载条件下进行了应力、振动和非线性屈曲分析。利用有限元分析代码(ANSYS 15.0)对车架的弯曲性能进行了分析研究和验证。
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引用次数: 0
Analysis and Discussion on the Room Temperature Microstructure and Properties of High Content Mixed Rare-Earth As-Cast AZ61 Magnesium Alloy 高含量稀土混合铸造 AZ61 镁合金室温显微组织和性能分析与讨论
IF 0.7 4区 材料科学 Q4 Engineering Pub Date : 2024-02-28 DOI: 10.1007/s11223-024-00612-0
F. H. Cao, Y. Zhang, Y. Chen, M. G. Jiang, J. L. Zhou, Y. He

This paper systematically analyzed and discussed the microstructure and mechanical properties of as-cast AZ61 magnesium alloy with rare-earth content of 1.0~4.0 wt.% by optical microscopy, SEM, EDS, and XRD. The results indicate that in addition to the obvious distribution of skeletal β-Mg17Al12 phase, a small amount of Mg32(Al, Zn)49 quasicrystal phase is distributed in as-cast AZ61 alloy. With the addition of rare-earth content, the skeletal β-Mg17Al12 phase dendrites in the as-cast AZ61 magnesium alloy matrix are decomposed obviously. The dendrite decomposition is more serious with increased Rare-earth content, and the quasicrystal Mg32(Al, Zn)49 disappears. When the rare-earth content is 1%Ce~2%Ce, the alloy mainly consists of needle-like, dot-like, or clustered Al4Ce and Al8Mn4Ce phases with a small amount of Al4La. When 2.8%Ce+1.2%Nd mixed rare-earth was added, the Al8Mn4Ce phase was not found in the alloy but mainly composed of Al3Nd and Al4Ce rare-earth phases. These rare-earth phases were radiative needle-like, willow leaf-like, rod-like, spot-like, layer-like, and a little irregular block. The as-cast AEZ641(2.8 wt.% Ce+1.2 wt.% Nd) magnesium alloy has the best comprehensive performance, and the yield strength is 2% higher than the as-cast AZ61 alloy. Its tensile strength, hardness, and elongation are similar to as-cast AZ61 alloy. The fracture mechanism of as-cast AZ61 + xRE is mainly a cleavage-type brittle fracture.

本文通过光学显微镜、扫描电镜、EDS 和 XRD 系统分析和讨论了稀土含量为 1.0~4.0 wt.% 的铸态 AZ61 镁合金的显微组织和力学性能。结果表明,在铸造的 AZ61 合金中,除了明显分布着骨架β-Mg17Al12 相外,还分布着少量的 Mg32(Al,Zn)49 准晶相。随着稀土含量的增加,铸态 AZ61 镁合金基体中的骨架 β-Mg17Al12 相枝晶分解明显。随着稀土含量的增加,枝晶的分解更为严重,准晶 Mg32(Al,Zn)49 也随之消失。当稀土含量为 1%Ce~2%Ce时,合金主要由针状、点状或团状的 Al4Ce 和 Al8Mn4Ce 相组成,并含有少量的 Al4La。当加入 2.8%Ce+1.2%Nd 混合稀土时,合金中不存在 Al8Mn4Ce 相,而主要由 Al3Nd 和 Al4Ce 稀土相组成。这些稀土相有辐射针状、柳叶状、棒状、点状、层状和少量不规则块状。铸造的 AEZ641(2.8 wt.% Ce+1.2 wt.%钕)镁合金综合性能最好,屈服强度比铸造的 AZ61 合金高 2%。其抗拉强度、硬度和伸长率与铸造的 AZ61 合金相似。铸态 AZ61 + xRE 的断裂机理主要是劈裂型脆性断裂。
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引用次数: 0
Development of a Method for Controlled Hydrogen Fragmentation of Medium-Carbon Steels to Reduce Their Crack Resistance 开发一种中碳钢受控氢破碎以降低抗裂性的方法
IF 0.7 4区 材料科学 Q4 Engineering Pub Date : 2024-02-27 DOI: 10.1007/s11223-024-00600-4
V. R. Skalskyi, I. M. Dmytrakh, O. T. Tsyrulnyk, A. M. Syrotyuk, O. I. Zvirko

The paper considers the use of hydrogen as a component of the technological process to solve an applied problem - the control of material defects, which consisted of controlled fragmentation of steel under dynamic loading to facilitate the cracking of the metal volume. Medium-carbon pearlite-ferrite steel of steel 60 types under electrochemical hydrogenation is studied. The criterion parameter of the material state was the energy of impact loading by three-point bending of smooth beam specimens. By selecting the electrochemical hydrogenation modes in terms of intensity (current) and duration of the process, as well as the composition of the electrolyte, a significant reduction in the energy intensity of steel fracture was obtained, which correlates with the residual hydrogen concentration in the metal. Metallographic analysis of the surface of the specimens confirmed the hydrogenation effect on the initiation of defects, which can be used for controlled steel fragmentation.

本文探讨了使用氢作为技术工艺的组成部分来解决一个应用问题--材料缺陷控制,其中包括在动态加载下控制钢的碎裂,以促进金属体积的开裂。对电化学氢化条件下的 60 型中碳珠光体铁素体钢进行了研究。材料状态的标准参数是光滑梁试样三点弯曲冲击加载的能量。通过选择电化学氢化模式的强度(电流)和持续时间以及电解质的成分,钢断裂的能量强度显著降低,这与金属中的残氢浓度有关。试样表面的金相分析证实了氢化对缺陷产生的影响,这种影响可用于控制钢的断裂。
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引用次数: 0
A study of the deformation properties of 10GN2MFA and 15Kh2MFA steels taking into account material damageability under plane stress conditions 考虑到平面应力条件下的材料破坏性,研究 10GN2MFA 和 15Kh2MFA 钢的变形特性
IF 0.7 4区 材料科学 Q4 Engineering Pub Date : 2024-02-27 DOI: 10.1007/s11223-024-00607-x
P. O. Bulakh, O. M. Maslo

The paper presents the results of an experimental study of the deformation properties of 10GN2MFA and 15Kh2MFA steels at different ratios of principal stresses under cyclic loading conditions. Applying the proposed phenomenological approach of an improved elastic-viscoplastic model allows one to qualitatively describe the effects of the influence of structure degradation under the action of temperature and force factors that accompany the operation of actual structural elements significantly affecting the regularities of deformation and damageability and the strength of structural materials under combined stress conditions. An evaluation of the variation rate in the homogeneity of the studied steels at different ratios of principal cyclic stresses under cyclic creep conditions is presented. Based on the experimental results, correlation dependences between the relative values of the homogeneity coefficient and the function of the deformation properties of the material and the type of stress state were obtained, which significantly simplifies the determination of the parameters characterizing the limiting state of the structural element.

本文介绍了对 10GN2MFA 和 15Kh2MFA 钢在循环加载条件下不同主应力比的变形特性进行实验研究的结果。应用所提出的改进弹性-粘弹性模型的现象学方法,可以定性地描述在温度和力因素作用下结构退化的影响,这些因素伴随着实际结构元件的运行,对变形和可破坏性的规律性以及结构材料在组合应力条件下的强度产生了显著影响。本文对所研究钢材在循环蠕变条件下不同主循环应力比率下的均匀性变化率进行了评估。根据实验结果,获得了均匀性系数相对值与材料变形特性函数和应力状态类型之间的相关依赖关系,这大大简化了结构元素极限状态特征参数的确定。
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引用次数: 0
Numerical Investigation of Member Stiffness in Composite Sandwich Bolted Connections 复合材料夹层螺栓连接中构件刚度的数值研究
IF 0.7 4区 材料科学 Q4 Engineering Pub Date : 2023-12-22 DOI: 10.1007/s11223-023-00590-9

Member stiffness in bolted connections has been widely studied for homogenous and isotropic materials contrary to composite sandwich ones. Therefore, a numerical simulation based on the augmented Lagrangian algorithm to solve contacts problems is conducted in ANSYS software to investigate various preloaded sandwich bolted joints with carbon and glass laminate skins and two types of foam cores. Tested samples show a rise of the ratio of maximum shear stress to maximum principal stress when the applied preload increases considerably which improves the risk of core failure, additionally, an analytical approximation of stiffness at preload is proposed, for that, a search algorithm is used to deduce the expression of the equivalent elastic modulus of tested joint members and a distance correlation method is applied to determine the theoretical formulation of the introduced stiffness model whose accuracy is optimized through analyzing results of root mean square error (RMSE) of its mathematical approximations , the convergence of the chosen model is ensured for all tested samples except the ones having the most rigid skins with the greatest elastic modulus (209 GPa). Furthermore, the equation introduced by Zhang and Poirier concerning the tension load causing a bolted joint separation is adapted and validated with a percent error less than 13%.

对于同质和各向同性材料,螺栓连接中的构件刚度已被广泛研究,而复合夹层材料则不同。因此,我们在 ANSYS 软件中进行了基于增量拉格朗日算法的数值模拟,以解决接触问题,研究了带有碳和玻璃层压板表皮以及两种泡沫芯材的各种预载夹层螺栓连接。测试样品显示,当施加的预紧力大幅增加时,最大剪应力与最大主应力之比上升,从而增加了夹芯失效的风险、采用搜索算法推导出测试连接部件的等效弹性模量表达式,并采用距离相关法确定所引入刚度模型的理论表述,通过分析其数学近似值的均方根误差(RMSE)结果,优化了该模型的准确性,确保了所选模型对所有测试样品的收敛性,但具有最大弹性模量(209 GPa)的最坚硬表皮样品除外。此外,Zhang 和 Poirier 引入的关于导致螺栓连接分离的拉伸载荷方程也得到了调整和验证,误差小于 13%。
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引用次数: 0
An Asymptotic Analysis of Methods for Predicting the Fracture Toughness of Multiaxial Carbon Fiber Composite Laminates Using the Elastic Constants of the 0° Plies 利用 0° 层弹性常数预测多轴碳纤维复合材料层压板断裂韧性的渐近分析方法
IF 0.7 4区 材料科学 Q4 Engineering Pub Date : 2023-12-22 DOI: 10.1007/s11223-023-00594-5
M. Y. Abdellah
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引用次数: 0
Vibrodiagnostics of the Edge Crack-Type Surface Damage in a Cantilever Composite Beam at Main, Super-, and Subharmonic Resonances 主谐波、超谐波和次谐波共振时悬臂复合梁边缘裂纹型表面损伤的振动诊断技术
IF 0.7 4区 材料科学 Q4 Engineering Pub Date : 2023-12-21 DOI: 10.1007/s11223-023-00578-5
E. O. Onyshchenko, V. V. Matveev, O. L. Derkach, O. E. Bohinich
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引用次数: 0
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