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A class of exact solutions with spatial acceleration for the description of viscous incompressible fluid flows in the field of mass forces 质量力场中粘性不可压缩流体流动描述的一类具有空间加速度的精确解
Pub Date : 2021-02-01 DOI: 10.17804/2410-9908.2021.1.006-025
N. Burmasheva, E. Prosviryakov
The article presents a new class of exact solutions to the system of Navier–Stokes equations, which allows one to take into account the nonlinear distribution of the pressure field and the influ-ence of external volumetric forces, as well as the possibility of horizontal fluid outflow/inflow when modeling its vertical motion. This class is a generalization of the Lin–Sidorov–Aristov class, which assumes the linear distribution of two projections of the fluid flow velocity vector along a part of the coordinates and the independence of the third projection of the velocity vector from these coor-dinates.
本文提出了一类新的精确解的Navier-Stokes方程组,它允许人们在模拟其垂直运动时考虑压力场的非线性分布和外部体积力的影响,以及流体水平流出/流入的可能性。该类是Lin-Sidorov-Aristov类的推广,它假设流体流速矢量沿坐标的一部分的两个投影的线性分布,并且速度矢量的第三个投影与这些坐标无关。
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引用次数: 0
Model representation of an axisymmetric steel-aluminum sample for simulation of a separation test 模拟分离试验用轴对称钢-铝试样的模型表示
Pub Date : 2021-02-01 DOI: 10.17804/2410-9908.2021.1.026-037
D. Kryuchkov, A. Zalazinsky
The object of research is a bimetallic composite material with a thin intermediate layer of aluminum. The aim of the work is to determine the features of the stress-strain state at the interlayer boundaries of a steel-aluminum composite material with a thin layer using the computational exper-iment method and to calculate separation resistance using the energy criterion. The stress-strain state along the boundaries of the joint at delamination is determined from the results of modeling the de-formation of axisymmetric samples made of a steel-aluminum bimetallic composite material with a thin intermediate layer of aluminum. A series of computational experiments with varying the critical rate of elastic energy release under separation conditions, including under the combined influence of low temperatures and static loads, is implemented. The energy criterion is used to evaluate the stress level that leads to the separation of the bimetallic compound. The dependence of the separation re-sistance along the ring contour on the critical rate of elastic energy release, which is variable in the range of 0.1 to 0.5 N/mm, is calculated. It is established that, for the studied variants of the compu-tational experiment, a rigid stress state with a predominance of normal tensile stresses is realized at the place of delamination onset.
研究对象是一种带有薄铝中间层的双金属复合材料。本文的目的是利用计算实验法确定薄层钢-铝复合材料层间边界的应力-应变状态特征,并利用能量判据计算分离阻力。通过对钢-铝双金属复合材料轴对称试样的变形模拟结果,确定了分层时沿接头边界的应力-应变状态。在低温和静载荷共同作用下,对分离条件下弹性能量释放临界速率的变化进行了一系列计算实验。能量判据用于评价导致双金属化合物分离的应力水平。计算了弹性能释放临界速率在0.1 ~ 0.5 N/mm范围内的变化关系。结果表明,对于计算试验的研究变量,在分层开始处实现了以正拉应力为主的刚性应力状态。
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引用次数: 0
Evolution of the structure of annealed hafnium bronze nanostructured by high pressure torsion 高压扭转退火铪青铜纳米结构的演变
Pub Date : 2021-02-01 DOI: 10.17804/2410-9908.2021.1.038-050
A. Stolbovsky, V. Popov, R. Falahutdinov, S. Murzinova
The effect of severe plastic deformation by 1, 3 and 5 revolutions of high pressure torsion (HPT) on the structure and mechanical properties of low-alloyed hafnium bronze Cu–0.78wt%Hf is studied. In the initial annealed state, hafnium is almost completely bonded into intermetallic com-pounds. It has been found that the structure of all the investigated bronze specimens subjected to HPT is stable and that it remains unchanged after unloading and prolonged ageing at room tempera-ture. It is shown that all the specimens develop a dispersed submicrocrystalline structure gradient along the radius of the disk, with an average crystallite size of 200 nm after 1 revolution to 120 nm after 5 revolutions (at mid-radius). The structure is non-uniform even after 5 revolutions, this being confirmed by microhardness measurements. The high-pressure-torsion behavior of hafnium bronze with Hf bonded into precipitates has much in common with the behavior of pure copper. At the same time, in terms of the stability of the obtained structures at room temperature, the behavior of the alloy under study demonstrates much in common with that of low-alloyed tin bronze.
研究了1转、3转和5转高压扭转(HPT)剧烈塑性变形对低合金Cu-0.78wt %Hf铪青铜组织和力学性能的影响。在初始退火状态下,铪几乎完全结合成金属间化合物。结果表明,所有经高温高压热处理的青铜试样结构稳定,在室温下卸载和长时间老化后结构保持不变。结果表明,所有试样沿圆盘半径方向呈分散的亚微晶结构梯度,1转后平均晶粒尺寸为200 nm, 5转后平均晶粒尺寸为120 nm(中半径处)。显微硬度测量证实,即使转了5圈,结构也不均匀。当Hf键合成析出相时,含铪青铜的高压扭转行为与纯铜的高压扭转行为有很多共同之处。同时,在室温下获得的组织稳定性方面,所研究的合金的行为与低合金锡青铜的行为有很多共同之处。
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引用次数: 0
An exact solution for describing the unidirectional marangoni flow of a viscous incompressible fluid with the navier boundary condition. Temperature field investigation 粘性不可压缩流体一维马兰戈尼流的精确解。温度场调查
Pub Date : 2020-02-01 DOI: 10.17804/2410-9908.2020.1.006-023
N. Burmasheva, E. Prosviryakov
Burmasheva N. V., Prosviryakov E. Yu. An exact solution for describing the unidirectional Marangoni flow of a viscous incompressible fluid with the Navier boundary condition. Temperature field investigation // Diagnostics, Resource and Mechanics of materials and structures. – 2020. – Iss. 1. – P. 6–23. – DOI: 10.17804/2410-9908.2020.1.006-023. Received: 26.11.2019 Revised: 24.01.2020 Accepted: 21.02.2020 DOI: 10.17804/2410-9908.2020.1.006-023
Burmasheva n.v., proviryakov E. Yu。用Navier边界条件描述粘性不可压缩流体单向Marangoni流动的精确解。材料和结构的温度场调查、诊断、资源和力学。- 2020。——Iss. 1-第6-23页- doi: 10.17804/2410-9908.2020.1.006-023。收稿日期:26.11.2019修回日期:24.01.2020收稿日期:21.02.2020 DOI: 10.17804/2410-9908.2020.1.006-023
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引用次数: 2
THE EFFECT OF DAMAGE AT AN ENSEMBLE OF MICROSTRUCTURE POINTS ON THE MARGIN OF SAFETY IN STRUCTURALLY HETEROGENEOUS MATERIALS 结构非均质材料中微观结构点集合处损伤对安全裕度的影响
Pub Date : 2019-10-25 DOI: 10.17804/2410-9908.2019.5.060-072
S. Volkov
Fracture concentration regions are considered in a microstructure under loading. A mathematical model of a micro-heterogeneous medium with random properties of elements is used for the calculations. The initial data in the problem includes the characteristics of the distributions of random elastic moduli and ultimate strengths in the microstructure elements. The microstructure strength condition is a difference between stresses and ultimate strengths for a multitude of points of a given configuration. The probability of stress simultaneously exceeding the ultimate strength in a given set of elements determines the probability of fracture in this ensemble of points and relative damage at the micro level. A multidimensional normal distribution is used to calculate damage. The structure of the correlation matrix of distribution takes into account the kind of the damage concentration region. The relationship between critical microstructure damage and the margin of safety is determined. Examples of calculating the probability of fracture in two, three, and four microstructure elements are given.
在载荷作用下,微观结构中考虑断裂集中区。采用具有元素随机性质的微非均质介质的数学模型进行计算。该问题的初始数据包括随机弹性模量和极限强度在微观结构单元中的分布特征。微观结构强度条件是给定结构中多个点的应力和极限强度之间的差值。在给定的一组单元中,应力同时超过极限强度的概率决定了这组点的断裂概率和微观上的相对损伤。损伤计算采用多维正态分布。相关分布矩阵的结构考虑了损伤集中区的类型。确定了临界组织损伤与安全裕度的关系。给出了计算二、三、四微观单元断裂概率的实例。
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引用次数: 1
COMPARISON OF THE YIELD FUNCTIONS FOR MICROPOLAR MEDIA USING A CYLINDRICAL SAMPLE MODEL 用圆柱形样品模型比较微极介质的屈服函数
Pub Date : 2019-10-25 DOI: 10.17804/2410-9908.2019.5.006-022
K. Frolova, E. Vilchevskaya
The article discusses different yield functions extended to the case of micropolar media in order to investigate the effect of local plasticity in metals. The paper is concerned with the inhomogeneous stress-strain state obtained within the frame of the micropolar continuum approach for a cylindrical specimen under distributed couple stress on its lateral surface. The case corresponding to specimen tension is considered. Plastic strains prove to arise near the border of the specimen, while the material continues to behave elastically. According to the results, it is necessary to take into account couple stresses to clarify what happens in the area near the border when the size of this area is comparable to the size of the structure inhomogeneity.
本文讨论了扩展到微极介质的不同屈服函数,以研究金属局部塑性的影响。本文研究了圆柱试样在侧向分布偶应力作用下的非均匀应力-应变状态。考虑与试样张力相对应的情况。塑性应变在试样边缘附近出现,而材料继续表现出弹性。根据结果,有必要考虑耦合应力,以澄清当该区域的大小与结构不均匀性的大小相当时,在靠近边界的区域发生了什么。
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引用次数: 0
ANALYSIS OF TWO CREEP RUPTURE MODEL 两种蠕变断裂模型的分析
Pub Date : 2019-10-25 DOI: 10.17804/2410-9908.2019.5.073-080
V. Nazarov
Various invariants of the stress tensor (maximum normal stress, Mises equivalent stress, doubled maximum tangential stress) are considered, as well as their linear combinations with one material parameter, when approximating the experimental creep rupture data obtained under a complex stress state. The error of the total discrepancy between the experimental data and the approximating values is always less for linear combinations with the material parameter than for the basic invariants of the stress tensor. This determines the predominant practical use of these linear combinations with the parameter. In this paper, we consider two models for describing the creep-rupture process under a complex stress state. One is a linear combination of the Mises equivalent stress and the maximum normal stress. The other is a linear combination of the doubled maximum tangential stress and the maximum normal stress. The effect of each of the two maximum stresses on the rupture time is established from the analysis of the results of the statistical processing of experimental data obtained under tension and torsion of tubular specimens.
在模拟复杂应力状态下的蠕变破裂实验数据时,考虑了应力张量的各种不变量(最大法向应力、米塞斯等效应力、倍最大切向应力)及其与一个材料参数的线性组合。与材料参数线性组合的实验数据与近似值的总差误差总是小于应力张量的基本不变量。这就决定了这些带参数的线性组合的主要实际用途。本文考虑两种模型来描述复杂应力状态下的蠕变-破裂过程。一种是米塞斯等效应力与最大法向应力的线性组合。另一种是最大切向应力和最大法向应力的两倍线性组合。通过对管状试件拉扭试验数据的统计处理结果分析,建立了两个最大应力对断裂时间的影响。
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引用次数: 2
AN EXACT SOLUTION TO THE DESCRIPTION OF A UNIDIRECTIONAL MARANGONI FLOW OF A VISCOUS INCOMPRESSIBLE FLUID WITH THE NAVIER BOUNDARY CONDITION. VELOCITY FIELD INVESTIGATION 粘性不可压缩流体一维马兰戈尼流的精确解。速度场调查
Pub Date : 2019-10-25 DOI: 10.17804/2410-9908.2019.5.023-039
N. Burmasheva, E. Prosviryakov
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引用次数: 2
EFFECT OF γ→ MARTENSITIC TRANSFORMATION ON THE TRIBOLOGICAL PROPERTIES OF CHROMIUM–MANGANESE AUSTENITIC STEELS γ→马氏体相变对铬锰奥氏体钢摩擦学性能的影响
Pub Date : 2019-10-25 DOI: 10.17804/2410-9908.2019.5.048-059
L. Korshunov, N. L. Chernenko
The paper studies the effect of ε (hcp) martensite on the structure and tribological properties of chromium-manganese metastable austenitic steels. The effect of TiC carbide particles on the friction coefficient and wear resistance of Cr–Mn austenitic steels is considered. Structural transformations occurring in the surface layers of the steel in the course of frictional processing are studied via methods of metallography, X-ray diffraction and electron microscopy analysis. It has been found that the formation of nanocrystalline hcp martensite in the steels under study decreases considerably their friction coefficient and increases their resistance to adhesive wear in comparison with the cases of the 40Kh25N20 stable austenitic stainless steel and the 12Kh18N9 austenitic stainless steel, the latter being metastable to γ→α martensitic transformation. The presence of 1–4.5 wt % of TiC carbide particles in the structure of the steels increases the friction coefficient of the materials and decreased their wear resistance. The ε phase in chromium-manganese austenitic steels is more capable of strain-induced hardening under friction than the ε phase in iron-manganese alloys. Accumulation of fine TiC particles of in the surface layer of the titanium-alloyed chromiummanganese austenitic steels has been detected.
研究了ε (hcp)马氏体对铬锰亚稳奥氏体钢组织和摩擦学性能的影响。研究了TiC碳化物颗粒对Cr-Mn奥氏体钢摩擦系数和耐磨性的影响。采用金相、x射线衍射和电镜分析等方法研究了钢在摩擦加工过程中表层发生的组织转变。与40Kh25N20稳定奥氏体不锈钢和12Kh18N9奥氏体不锈钢(后者亚稳向γ→α马氏体转变)相比,纳米晶hcp马氏体的形成大大降低了钢的摩擦系数,提高了钢的抗粘着磨损能力。在钢的组织中存在1-4.5 wt %的TiC碳化物颗粒会增加材料的摩擦系数,降低材料的耐磨性。在摩擦作用下,铬锰奥氏体钢中的ε相比铁锰合金中的ε相更容易发生应变诱发硬化。在含钛铬锰奥氏体钢的表层中发现了细小的TiC颗粒的积累。
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引用次数: 0
DESIGN AND PROCESS DESCRIPTION OF WELDED JOINTS IN GENERAL-PURPOSE STRUCTURAL STEELS 通用结构钢焊接接头的设计与工艺说明
Pub Date : 2019-10-25 DOI: 10.17804/2410-9908.2019.5.040-047
Z. G. Kornilova, G. S. Ammosov
Ensuring the durability and longevity of welded joints in metallic structures is an important problem of life support, especially in the conditions of the North. Welded joints are the crucial areas reducing resistance to brittle failure, and heat-affected zones (HAZ) are their weakest sites in terms of cold resistance. Thermokinetic diagrams and diagrams of anisothermal decay of austenite (ADA) are used for the determination of the structure composition and mechanical characteristics of the HAZ metal in the welding of many structural steels for various purposes. To choose optimum rates of cooling by preheating of products to be welded, the structure composition and mechanical characteristics of the HAZ metal, we use a carbon equivalent Ce. Besides, in terms of the effect of design and process factors on the formation of welded joints, the paper shows the necessity of controlling welding consumables when welding general-purpose steels.
确保金属结构焊接接头的耐久性和寿命是维持生命的一个重要问题,特别是在北方的条件下。焊接接头是降低脆性破坏的关键部位,而热影响区是其抗寒性最薄弱的部位。在各种用途的结构钢焊接中,热动力学图和奥氏体(ADA)的等温衰变图被用于确定热影响区金属的组织组成和力学特性。为了根据热影响区金属的结构组成和力学特性,选择焊接产品预热的最佳冷却速率,我们使用了碳当量Ce。此外,从设计和工艺因素对焊接接头形成的影响方面,论述了通用钢焊接时控制焊接耗材的必要性。
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Diagnostics, Resource and Mechanics of materials and structures
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