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Atomistic determination of stress fields in samples with defects 带缺陷样品应力场的原子法测定
Pub Date : 2022-06-01 DOI: 10.17804/2410-9908.2022.3.036-046
K. A. Mushankova, L. Stepanova
The main goal of the study is the atomistic determination of the static stress-strain state at the crack tip in isotropic and anisotropic linearly elastic materials by the molecular dynamics method implemented in the open source LAMMPS (Large-scale Atomistic/Molecular Massively Parallel Simulator). An extensive class of computational experiments has been carried out for a single-crystal copper specimen with a central crack in the LAMMPS. The circumferential distributions of the stress tensor components obtained by molecular dynamics are compared with the angular distributions of brittle fracture continuum mechanics, i.e. with Williams’ analytical solution to the problem of an infinite plate loaded with a central crack in a linearly elastic isotropic material. The comparison of the angular distributions of the stress tensor components gained in the framework of atomistic modeling and the angular distributions obtained from the classical solution of continuum mechanics has shown that, at the nanoscale level, the stress fields are in good agreement with their macroscopic values.
本研究的主要目标是利用开放源代码的LAMMPS(大规模原子/分子大规模并行模拟器)实现的分子动力学方法,原子地确定各向同性和各向异性线弹性材料裂纹尖端的静态应力-应变状态。对一个在LAMMPS中有中心裂纹的单晶铜试样进行了大量的计算实验。将分子动力学得到的应力张量分量的周向分布与脆性断裂连续介质力学的角向分布进行了比较,即与Williams对线弹性各向同性材料中带中心裂纹的无限板问题的解析解进行了比较。将原子模型框架下得到的应力张量分量的角分布与连续介质力学经典解得到的角分布进行了比较,结果表明,在纳米尺度上,应力场与宏观值吻合较好。
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引用次数: 0
Review of the author’s own results obtained from mechanical testing of titanium alloys 回顾作者自己从钛合金力学试验中获得的结果
Pub Date : 2022-04-01 DOI: 10.17804/2410-9908.2022.2.021-034
V. Nazarov
Experimental data obtained at different times by the author for various titanium alloys are collected in one place. The mechanical properties of the VT1-0 alloy at normal temperature, the creep and creep rupture of the VT5 and VT6 alloys at 650 °C, the secondary creep of the VT1-0 alloy under complex stress conditions at 550 °C are considered. The final values of strains observed either at the rupture time or at mechanical test termination are taken as a criterion for combining all these data.
作者在不同时间对各种钛合金的实验数据都集中在一个地方。研究了VT1-0合金在常温下的力学性能,VT5和VT6合金在650℃时的蠕变和蠕变断裂,以及VT1-0合金在550℃复杂应力条件下的二次蠕变。在断裂时或力学试验结束时观察到的最终应变值作为综合所有这些数据的准则。
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引用次数: 0
Features of the stress state of porous brittle materials under tensile conditions 多孔脆性材料在拉伸条件下的应力状态特征
Pub Date : 2022-04-01 DOI: 10.17804/2410-9908.2022.2.035-044
V. Zimina, I. Smolin
The paper discusses the problem of taking into account the influence of the heterogeneous structure of a material on its effective characteristics and mechanical behavior. To evaluate the effective properties and features of the stress and strain analysis of porous materials, it is proposed to use a combined method that includes experimental data (an SEM image of a porous material surface) and numerical methods of solids mechanics. Numerical simulation of the mechanical behavior of porous ceramics is performed on the basis of experimental data on its pore structure. As a result of the performed research, it is shown that this method makes it possible to determine the features of the stress and strain state of porous ceramics. The stress analysis reveals both tensile and compressive local stresses in porous ceramics mesovolumes under uniaxial tension. At the same time, the values of these local stresses exceed the mesovolume-average values by an order of magnitude.
本文讨论了考虑材料的非均质结构对其有效特性和力学行为的影响问题。为了评价多孔材料应力应变分析的有效特性和特征,提出了采用实验数据(多孔材料表面SEM图像)和固体力学数值方法相结合的方法。基于多孔陶瓷的孔结构实验数据,对多孔陶瓷的力学行为进行了数值模拟。研究结果表明,该方法可以确定多孔陶瓷的应力应变状态特征。应力分析揭示了单轴拉伸作用下多孔陶瓷介体的局部拉伸和压缩应力。同时,这些局部应力值超过中体积平均值一个数量级。
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引用次数: 0
Microscopic simulation of the chemomechanics of squamous cell tissue 鳞状细胞组织化学力学的显微模拟
Pub Date : 2022-04-01 DOI: 10.17804/2410-9908.2022.2.006-020
A. D. Bratsun, D. Bratsun, I. Krasnyakov
The development of computer technologies makes it possible to implement a mathematical model of tissue dynamics, which includes the behavior of individual cells. The paper describes a mathematical model of a quasi-two-dimensional tissue, which consists of cells represented by dynamically changing polygons. The model includes two important processes that mimic the properties of real cells, namely mitotic division and intercalation. An equation of motion based on the elastic potential energy is written for each vertex of the polygonal cell. In the course of evolution, the tissue tends to take a position corresponding to the minimum of potential energy. The model allows a simple extension to the case of the feedback between the biomechanical and chemical properties of the medium and the introduction of several competing tissue types. The results of numerical simulation of heterogeneous carcinoma of the solid type are given as an example. The prospects for the development of this approach to simulation are discussed.
计算机技术的发展使实现组织动力学的数学模型成为可能,其中包括单个细胞的行为。本文描述了一个准二维组织的数学模型,该组织由动态变化的多边形表示的细胞组成。该模型包括模拟真实细胞特性的两个重要过程,即有丝分裂和嵌入。在此基础上,对多边形单元的每个顶点建立了基于弹性势能的运动方程。在演化过程中,组织趋向于选择势能最小值所对应的位置。该模型可以简单地扩展到介质的生物力学和化学性质之间的反馈以及引入几种竞争组织类型的情况。给出了固体型非均质癌的数值模拟结果。最后对该方法的发展前景进行了展望。
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引用次数: 0
Destruction of a protective pipe coating under cyclic loading by internal pressure 内压循环载荷作用下管道保护层的破坏
Pub Date : 2022-04-01 DOI: 10.17804/2410-9908.2022.2.055-066
V. V. Struzhanov, A. Chaikin
An analytical method has been developed for determining the moment of destruction of thin pipe coatings whose material retains elasticity during cyclic changes in internal pressure. The coating material has the property of strain softening, that is, destruction with increasing deformation occurs as stresses drop. The properties of the coating material are described by a convex-concave potential. Due to damage accumulation resulting from fatigue loading, the properties of the coating material change. Hence, the complete deformation curve degenerates. To determine the moment of destruction, the methods of the mathematical theory of catastrophes are used, which make it possible to find all the equilibrium positions of the system and the point of instability of the deformation process. Due to the degeneration of the properties of the coating material, the catastrophe (loss of stability) approaches the parameters of fatigue loading.
本文提出了一种测定在内压循环变化中材料保持弹性的薄管涂层的破坏力矩的分析方法。涂层材料具有应变软化的特性,即随着应力的下降,随着变形的增加而发生破坏。涂层材料的性能用凹凸势来描述。由于疲劳载荷引起的损伤积累,涂层材料的性能发生了变化。因此,完全变形曲线退化。为了确定破坏力矩,采用了灾变数学理论的方法,可以找到系统的所有平衡位置和变形过程的不稳定点。由于涂层材料性能的退化,突变(失稳)接近疲劳载荷参数。
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引用次数: 0
Determination of optimal design parameters of a heat exchanging section by numerical modeling 用数值模拟方法确定换热段的最佳设计参数
Pub Date : 2022-04-01 DOI: 10.17804/2410-9908.2022.2.045-054
E. Baymetova
With the development of industry, the need to improve the efficiency of oil coolers is particularly increasing, due primarily to the rising cost of equipment, as well as increased attention to the issues of resource and energy saving. Oil coolers should not only perform the required functions of oil cooling, but also be as reliable and environmentally friendly as possible. Meanwhile, the majority of serial oil coolers are designed on the basis of outdated technical solutions, and this predetermines the levels of efficiency and reliability of their work as not corresponding to modern requirements. In this connection, the issues of hydrodynamics and heat exchange in finned tubes of oil coolers and refinement of methods of their calculation are relevant both for modernization of existing devices and for design of new oil coolers.
随着工业的发展,对油冷却器效率的提高需求尤其增加,这主要是由于设备成本的上升,以及对资源和节能问题的日益重视。油冷却器不仅要执行油冷却所需的功能,而且要尽可能可靠和环保。同时,大多数串联油冷却器是基于过时的技术方案设计的,这预先决定了其工作的效率和可靠性水平与现代要求不相对应。在这方面,油冷却器翅片管中的流体力学和热交换问题及其计算方法的改进,既关系到现有装置的现代化,也关系到新的油冷却器的设计。
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引用次数: 0
An optimization approach to the development of parallel algorithms for digital signal processing operations 数字信号处理操作并行算法开发的优化方法
Pub Date : 2022-02-01 DOI: 10.17804/2410-9908.2022.1.006-015
O. Klimova
The paper studies the optimization possibilities of an approach which made it possible to develop a formal tool, i.e. a model of computation organization for digital signal processing (DSP) operations and operations structurally similar to them. The resulting formal tool describes the inter-nal parameterized structure of operations and generates adaptive algorithms that can adjust to dif-ferent conditions of parallel computation. The developed approach to the construction of such algo-rithms endows them with extended functionality, which ensures the implementation of the follow-ing capabilities: changes in the parameters of algorithm structures; synthesis of their variety; opti-mization of variants of computation organization. Due to the variety of this functionality, several directions are identified for implementing this optimization. A general description of the optimiza-tion approach to the reasonable choice of the best variant of computation organization under the given conditions of their implementation is given. We consider a scheme of actions aimed at com-putation optimization and enabling you to develop various classes of parameterized parallel algo-rithms within the framework of the approach proposed.
本文研究了一种方法的优化可能性,该方法使开发一种形式化工具成为可能,即用于数字信号处理(DSP)操作及其结构类似操作的计算组织模型。由此产生的形式化工具描述了操作的内部参数化结构,并生成了能够适应不同并行计算条件的自适应算法。这种算法构造的发展方法赋予了它们扩展的功能,这确保了以下功能的实现:改变算法结构的参数;品种的综合;计算组织变体的优化。由于此功能的多样性,确定了实现此优化的几个方向。给出了在给定实现条件下合理选择最佳计算组织变体的优化方法的一般描述。我们考虑了一种旨在计算优化的行动方案,并使您能够在提出的方法框架内开发各种类型的参数化并行算法。
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引用次数: 0
Martensitic transformations in plastic and fracture zones of the 05g20s2 metastable steel during cyclic tests 循环试验中05g20s2亚稳钢塑性区和断口区的马氏体相变
Pub Date : 2022-02-01 DOI: 10.17804/2410-9908.2022.1.025-037
S. Gladkovsky, I. Kamantsev, V. Veselova, Yu. V. Khudorozhkova
X-ray diffraction analysis, EBSD technique, and transmission electron microscopy are used to reveal the features of phase and microstructural transformations developing in plastic strain and fracture zones of the 05G20S2 metastable steel (Fe-20Mn-2Si). The dependence of the phase composition of the steel on the fatigue fracture surface on the value range of the stress intensity coefficient at the fatigue crack tip is determined.
利用x射线衍射分析、EBSD技术和透射电子显微镜研究了05G20S2亚稳钢(Fe-20Mn-2Si)塑性应变区和断口区的相转变和显微组织变化特征。确定了疲劳断口钢的相组成与疲劳裂纹尖端应力强度系数取值范围的关系。
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引用次数: 0
Stagnation points of an inhomogeneous solution describing convective Ekman flow in the oceanic equatorial zone 描述海洋赤道区对流Ekman流的非均匀解的滞止点
Pub Date : 2022-02-01 DOI: 10.17804/2410-9908.2022.1.052-066
A. Gorshkov, E. Prosviryakov
An inhomogeneous analytical solution describing a stratified large-scale isothermal Ekman–Poiseuille flow of a viscous incompressible fluid in the equatorial zone is obtained. A set of stagnation points of this solution is studied. Temperature is set at the flow boundaries. Tangential stresses simulating the effect of wind are specified at the free boundary. The Navier slip conditions are specified on the solid surface. The solution is constructed in the form of functions, linear in horizontal coordinates, with the coefficients dependent on the vertical coordinate. The coefficients of the linear functions are obtained as polynomials. The condition of consistency of the overdetermined equation system describing the specified flow is obtained. The consistency condition imposes restrictions on the boundary conditions. It is shown that the set of stagnation points lies on a straight line.
得到了粘性不可压缩流体在赤道区分层大尺度等温埃克曼-泊泽维尔流动的非均匀解析解。研究了该解的一组驻点。温度设定在流动边界。在自由边界处指定了模拟风作用的切向应力。在固体表面上指定了Navier滑移条件。解是用函数的形式构造的,在水平坐标系中是线性的,系数依赖于垂直坐标系。线性函数的系数以多项式形式得到。得到了描述指定流的过定方程组的一致性条件。一致性条件对边界条件施加了限制。结果表明,滞止点的集合在一条直线上。
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引用次数: 0
A review of experimental studies of creep and creep rupture strength (2004–2021) 蠕变与蠕变断裂强度实验研究综述(2004-2021)
Pub Date : 2022-02-01 DOI: 10.17804/2410-9908.2022.1.038-051
V. Nazarov
The paper reviews studies conducted between 2004 and 2021 for various metal materials (magnesium-lithium alloy, copper, aluminum alloy, titanium alloy, steel, nickel alloy) in the temperature range from 20 to 1100 °C. In those studies the test results were obtained for isothermal creep under uniaxial tension and complex stress. The number of such studies is limited. This review does not include studies dealing with the chemical interaction of the environment with a metal material. Among these studies there are little-known and unique results. In one of those studies, the creep of a magnesium-lithium alloy at normal temperature was considered for the first time. In another study, creep curves for heat-resistant steel were supplemented with experimental stress–strain diagrams in a wide range of high temperatures. Another distinctive study, for the characteristic times of the creep process, compares photographs of changes in the microstructure and the creep curve up to the rupture time. The review lists studies that found an ambiguity in the effect of biaxial tension on the rupture time in comparison with uniaxial tension. It enumerates complex equivalent stresses with the possibility of describing the relative difference in the rupture time under uniaxial tension, biaxial tension, and triaxial tension.
本文回顾了2004年至2021年间对各种金属材料(镁锂合金、铜、铝合金、钛合金、钢、镍合金)在20至1100℃温度范围内进行的研究。在这些研究中,获得了在单轴拉伸和复合应力下的等温蠕变试验结果。这类研究的数量有限。本综述不包括有关环境与金属材料的化学相互作用的研究。在这些研究中,有一些鲜为人知的独特结果。在其中一项研究中,首次考虑了镁锂合金在常温下的蠕变。在另一项研究中,耐热钢的蠕变曲线补充了大范围高温下的实验应力-应变图。另一个独特的研究,蠕变过程的特征时间,比较微观结构的变化和蠕变曲线的照片,直到破裂时间。这篇综述列出了与单轴拉伸相比,发现双轴拉伸对断裂时间影响不明确的研究。它列举了复杂的等效应力,并有可能描述在单轴拉伸、双轴拉伸和三轴拉伸下破裂时间的相对差异。
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引用次数: 0
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Diagnostics, Resource and Mechanics of materials and structures
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