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High-frequency electrodynamics and mechanics of anisotropic media 各向异性介质的高频电动力学和力学
Pub Date : 2022-10-01 DOI: 10.17804/2410-9908.2022.5.015-022
A. Druzhinin
The paper presents a new mathematical approach generally relating anisotropic electrodynamic characteristics to optical constants. A mathematical language is a hypercomplex algebra describing a spinor space. The problem of the Faraday magneto-optic effect – circular birefringence and dichroism – is solved within the framework of this formalism. The issue of using this formalism in problems of solid mechanics is discussed.
本文提出了一种将各向异性电动力特性与光学常数联系起来的数学方法。数学语言是描述旋量空间的超复代数。法拉第磁光效应的问题——圆双折射和二色性——在这种形式框架内得到了解决。讨论了在固体力学问题中使用这种形式的问题。
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引用次数: 0
An analytical and numerical study of free boundary dynamics for an isolated mass of a self-gravitating gas 自重力气体孤立质量的自由边界动力学分析与数值研究
Pub Date : 2022-08-01 DOI: 10.17804/2410-9908.2022.4.061-080
A. Kazakov, L. Spevak, N. Chuev
The paper considers an evolution of the free boundary of a finite volume of a self-gravitating ideal gas moving in the vacuum. Unsteady flows are described by a phenomenological mathematical model, which has the form of a system of nonlinear Volterra integro-differential equations written in Eulerian coordinates. The gas volume moves in a force field generated by the Newtonian potential in general form. The boundary conditions are specified on the free gas-vacuum boundary, which is a priori unknown and determined simultaneously with gas flow construction. Conversion to Lagrangian coordinates allows us to reduce the original problem to an equivalent one, which consists of Volterra integral equations and the continuity equation in Lagrangian form, with Cauchy conditions specified for all these equations. Therefore, the application of Lagrangian coordinates makes it possible, in particular, to eliminate the unknown boundary. The theorem of the existence and uniqueness of the solution in the space of infinitely differentiable functions is proved for this problem. The free boundary is determined as an image of the surface bounding the gas-filled region in reverse transition. Herewith, the method for studying the free boundary is similar to the approach that the authors apply to studying the dynamics of the rarefied mass of a self-gravitating gas. Nu-merical calculations of gas flow are made, including the construction of the free gas-vacuum boundary. The influence of gravitation and the initial gas particle velocity on the formation of gas cloud configuration in the vacuum and on cloud evolution is studied. The results are of interest in terms of solving relevant astrophysical and cosmogonic problems.
本文研究了在真空中运动的自引力理想气体的有限体积自由边界的演化。非定常流是用一种现象学数学模型来描述的,该模型具有以欧拉坐标表示的非线性Volterra积分-微分方程系统的形式。气体体积在一般形式的牛顿势产生的力场中运动。在自由气体-真空边界上指定边界条件,该边界是先验未知的,并与气体流动构造同时确定。转换到拉格朗日坐标可以使我们将原来的问题简化为一个等价的问题,它由Volterra积分方程和拉格朗日形式的连续性方程组成,并为所有这些方程规定了柯西条件。因此,拉格朗日坐标的应用使得消除未知边界成为可能。证明了无穷可微函数空间解的存在唯一性定理。自由边界被确定为在反跃迁中包围充满气体区域的表面的图像。在此,研究自由边界的方法与作者研究自引力气体的稀薄质量动力学的方法类似。进行了气体流动的数值计算,包括自由气体-真空边界的建立。研究了重力和初始粒子速度对真空中气体云形态的形成和气体云演化的影响。这些结果对于解决相关的天体物理学和宇宙起源问题具有重要意义。
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引用次数: 0
Comprehensive evaluation of fatigue damage accumulation and failure of specimens with operational stress concentrators 带操作应力集中器试件疲劳损伤累积与破坏的综合评价
Pub Date : 2022-08-01 DOI: 10.17804/2410-9908.2022.4.037-049
Е. М. Strungar, О. А. Staroverov, Е. М. Lynegova
The paper presents the results of studying the mechanical behavior of laminated carbon-fiber-reinforced plastic under complex low-velocity impact three-point bending followed by cyclic tension. An integrated approach to studying damage accumulation patterns is implemented with the use of state-of-the-art testing and diagnostic equipment. The residual fatigue life of the composite is related to the intensity of preliminary impact bending. The fields of temperature distribution in the active zone of the samples during the tests are shown. Data on damage accumulation obtained by recording acoustic emission signals are presented. Relation of the change in the recorded acoustic response signals to infrared thermal scanning data has been detected, which is supported by the results of an experimental study. The use of additional equipment for infrared thermal scanning and recording of acoustic emission signals gives a complete picture of damage accumulation and failure in composite materials, with a good agreement with experimental data.
本文研究了复合碳纤维增强塑料在复杂低速冲击三点弯曲后循环拉伸作用下的力学行为。一种综合的方法来研究损伤积累模式与使用最先进的测试和诊断设备。复合材料的残余疲劳寿命与预冲击弯曲强度有关。给出了试验过程中试样活性区的温度场分布。给出了通过记录声发射信号获得的损伤累积数据。实验结果证实了红外热扫描数据与声响应信号变化的关系。使用额外的红外热扫描设备和声发射信号记录,可以全面了解复合材料的损伤积累和失效情况,与实验数据吻合良好。
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引用次数: 0
Experimental facility for studying the physical properties of materials in a plane stress state 研究材料在平面应力状态下的物理性质的实验装置
Pub Date : 2022-08-01 DOI: 10.17804/2410-9908.2022.4.050-060
A. N. Mushnikov, S. M. Zadvorkin, E. N. Perunov, S. V. Vyskrebentsev, R. F. Izmailov, D. Vichuzhanin, N. Soboleva, A. S. Igumnov
An original experimental facility for studying the physical properties of materials during elastic-plastic deformation along two axes has been created. The facility has no ferromagnetic parts in the working area, thus enabling us to make more accurate magnetic measurements. Biaxial deformation is simulated by the finite element method in order to optimize the geometry of the specimen and to determine the stress state in the central zone of the specimen. Test experiments on the effect of biaxial tension on the coercive force of the 12G2S are performed.
为研究材料在两轴弹塑性变形过程中的物理特性,建立了一套新颖的实验装置。该设备在工作区域没有铁磁部件,因此使我们能够进行更精确的磁测量。为了优化试件的几何形状,确定试件中心区域的应力状态,采用有限元法模拟了试件的双轴变形。进行了双轴拉伸对12G2S矫顽力影响的测试实验。
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引用次数: 0
Studying supercritical deformations of flat ellipsoidal panels of constant thickness 等厚扁平椭球板的超临界变形研究
Pub Date : 2022-08-01 DOI: 10.17804/2410-9908.2022.4.081-089
V. V. Chupin, D. E. Chernogubov
An algorithm is developed for studying the stress-strain state of elastic thin-walled shell systems consisting of shells of revolution. Based on this algorithm, a computer program is written which allows one to determine the stress-strain parameters of shells in a wide range of geometric, physical, and force parameters. Supercritical deformations of flat ellipsoidal panels of constant thickness are studied.
提出了一种研究由旋转壳组成的弹性薄壁壳系应力-应变状态的算法。在此基础上,编写了一个计算机程序,使人们能够在广泛的几何、物理和力参数范围内确定壳的应力-应变参数。研究了等厚扁平椭球板的超临界变形。
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引用次数: 0
Estimating the effect of some individual technological factors on the effectiveness of producing high-purity hydrogen from hydrocarbons in catalytic membrane devices 评价了个别工艺因素对膜催化装置中烃类制取高纯氢效果的影响
Pub Date : 2022-08-01 DOI: 10.17804/2410-9908.2022.4.006-036
A. B. Vandyshev
The paper presents results of using a physically grounded mathematical model, verified in numerous practical applications, to estimate the effect of some individual technological factors on the effectiveness and efficiency of producing high-purity hydrogen from products of steam conversion of hydrocarbons in advanced catalytic membrane devices.
本文介绍了使用物理基础数学模型的结果,该模型在许多实际应用中得到验证,以估计一些单独的技术因素对先进的催化膜装置中烃类蒸汽转化产物生产高纯度氢的有效性和效率的影响。
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引用次数: 0
Increasing hydrogen sorption by ti2ni powder using mechanochemical alloying 机械化学合金化提高ti2ni粉末的吸氢性能
Pub Date : 2022-06-01 DOI: 10.17804/2410-9908.2022.3.025-035
E. Abdulmenova, S. Buyakova, S. Kulkov
A method has been developed to increase hydrogen sorption by Ti2Ni powder, which consists in mechanochemical alloying by titanium of Ti-Ni powder near the equiatomic composition. This method allows the hydrogen content in the powder material to be increased several times. It is possible to use the developed powder material for the safe storage and transportation of hydrogen in the metal hydride with a high hydrogen content, with reversible adsorption of hydrogen, in comparison with the storage and transportation of hydrogen in compressed and liquid form. The developed method is simple to implement and low-cost; therefore, it is of economic and practical interest. For mechanochemical alloying, a high-intensity planetary ball mill was used, with a drum rotation speed of 1820 rpm and a processing time of 300 seconds. It is shown that, after mechanochemical alloying, the powder Ti-Ni (85 wt%) – Ti (15 wt%) powder consisted of TiNi in two modifications, namely B2 and B19`, and two Ti2Ni phases with different lattice parameters. The existence of two Ti2Ni phases is due to both the inheritance of this phase from the initial Ti-Ni powder (Ti2Ni(I)), and its formation during the interaction of titanium with TiNi (B2, B19`) in the process of mechanochemical alloying (Ti2Ni(II)). The Ti2Ni (II) phase formed by mechanochemical alloying is more prone to interact with hydrogen with the formation of Ti2NiHx hydride than the Ti2Ni (I) phase present in Ti-Ni powder before alloying. The lattice parameter of the Ti2Ni (II) phase increases by 17.6 % during hydrogenation and corresponds to Ti2NiH2.8 hydride; this result exceeds the change in the cell volume of Ti2Ni obtained by other methods.
本文提出了一种提高Ti2Ni粉末吸氢性能的方法,该方法是在等原子组成附近用钛对Ti2Ni粉末进行机械化学合金化。这种方法可以使粉末材料中的氢含量提高数倍。与以压缩和液态形式储存和运输氢气相比,可以使用所开发的粉末材料在高含氢量的金属氢化物中安全储存和运输氢气,氢气的可逆吸附。该方法实现简单,成本低;因此,它具有经济和现实意义。机械化学合金化采用高强度行星球磨机,转鼓转速1820转/分,加工时间300秒。结果表明,经机械化学合金化后,粉末Ti- ni (85 wt%) - Ti (15 wt%)粉末由B2和B19′两种改性的TiNi和两种不同晶格参数的Ti2Ni相组成。Ti2Ni两相的存在是由于该相从初始Ti-Ni粉末(Ti2Ni(I))中继承而来,以及在机械化学合金化过程中钛与TiNi (B2, B19′)相互作用(Ti2Ni(II))过程中形成的。机械化学合金化形成的Ti2Ni (II)相比合金化前Ti-Ni粉末中存在的Ti2Ni (I)相更容易与氢相互作用形成Ti2NiHx氢化物。Ti2Ni (II)相的晶格参数在加氢过程中增加了17.6%,对应于Ti2NiH2.8氢化物;这一结果超过了用其他方法得到的Ti2Ni细胞体积的变化。
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引用次数: 0
Unidirectional steady-state inhomogeneous Couette flow with a quadratic velocity profile along a horizontal coordinate 沿水平坐标的二次速度剖面的单向稳态非均匀库埃特流
Pub Date : 2022-06-01 DOI: 10.17804/2410-9908.2022.3.047-060
L. Goruleva, E. Prosviryakov
The paper presents an exact solution to the boundary value problem describing the steady-state unidirectional flow of a viscous incompressible fluid. The fluid moves in an infinite horizontal strip (infinite fluid layer). The fulfillment of the no-slip condition is postulated at the lower boundary of the viscous fluid layer. At the upper boundary, which is assumed to be rigid, non-uniform velocity distribution is specified. The deformation of the free boundary is neglected due to the use of the rigid-lid boundary condition. The exact solution to the equations of the hydrodynamics of incompressible fluids automatically satisfies the continuity equation (the incompressibility equation). The velocity function is harmonic in this case. The simplest exact solution satisfying the Laplace equation is constructed, which takes into account the features of the velocity field along the transverse (vertical) coordinate and one of the longitudinal (horizontal) coordinates. The paper analyzes the topological properties of the velocity field, the tangential stress field, the vorticity vector, specific kinetic energy, and specific helicity.
本文给出了描述粘性不可压缩流体稳态单向流动的边值问题的精确解。流体沿无限大的水平带(无限大的流体层)移动。假定在粘性流体层的下边界处满足无滑移条件。在假定为刚性的上边界处,指定了非均匀速度分布。由于采用了刚盖边界条件,忽略了自由边界的变形。不可压缩流体流体力学方程的精确解自动满足连续性方程(不可压缩方程)。在这种情况下,速度函数是调和的。构造了满足拉普拉斯方程的最简单精确解,该解考虑了速度场沿横(纵)坐标和纵(横)坐标的特征。分析了速度场、切向应力场、涡量矢量、比动能和比螺旋度的拓扑性质。
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引用次数: 0
Calculating the probability of the failure-free operation of spur gear transmissions 计算正齿轮传动装置无故障运行的概率
Pub Date : 2022-06-01 DOI: 10.17804/2410-9908.2022.3.013-024
S. Lebedev, V. Syzrantsev
The article presents an improved method for calculating the probability of failure-free operation of case-hardened spur gear transmissions. The existing methods for calculating the probability of failure-free operation of gear transmissions are analyzed. The failure tree for a case-hardened spur gear transmission is presented. The probability of failure-free operation of case-hardened cylindrical gear transmissions is presented as the product of the probabilities of failure-free operation of the gear and the wheel according to the following criteria (failure types): contact endurance (pitting), bending endurance (tooth breakage), and tooth interior fatigue fracture (deep contact chipping). An algorithm has been developed for calculating the probability of failure-free operation of case-hardened spur gear transmissions. To restore the torque distribution density function in the proposed method, nonparametric statistics methods are implemented. In the calculation of contact stresses, the skew angle is taken into account, which is the sum of two angles: the skew angle due to deformations of the transmission elements and the housing; the total angle of technological misalignment of wheel tooth surfaces, caused by errors in the manufacture of the teeth and mounting errors during the assembly of the transmission. An example of a test calculation of the probability of failure-free operation of a case-hardened spur gear transmission according to the presented method is given. Based on the work performed, conclusions are formulated.
本文提出了一种计算硬壳直齿齿轮传动无故障运行概率的改进方法。分析了现有的计算齿轮传动装置无故障运行概率的方法。给出了硬化直齿齿轮传动的故障树。根据以下准则(失效类型):接触耐力(点蚀)、弯曲耐力(齿断裂)和齿内疲劳断裂(深度接触切屑),将淬火圆柱齿轮传动装置的无故障运行概率表示为齿轮和车轮无故障运行概率的乘积。提出了一种计算硬壳直齿齿轮传动无故障运行概率的算法。为了恢复该方法中的扭矩分布密度函数,采用了非参数统计方法。在接触应力的计算中,考虑了斜角,它是两个角度的和:由于传动元件和外壳变形引起的斜角;齿面工艺偏差的总角度,是由齿的制造误差和变速器装配过程中的安装误差引起的。给出了用该方法计算淬火直齿齿轮传动装置无故障运行概率的实例。根据所做的工作,得出结论。
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引用次数: 0
Investigation of butadiene-elastomer-based high modulus materials reinforced by basalt, glass, and carbon fabrics 玄武岩、玻璃和碳织物增强丁二烯弹性体高模量材料的研究
Pub Date : 2022-06-01 DOI: 10.17804/2410-9908.2022.3.006-012
M. M. Kopyrin, A. E. Markov, A. A. Dyakonov, А. G. Tuisov, А. Okhlopkova, A. Kychkin, N. Lazareva
A relevant task in improving the properties of elastomers is to increase their strength and stiffness, which affect the reliability and durability of rubber products. The paper presents a technology for manufacturing high-modulus materials based on SKD-V butadiene rubber and reinforcing layers of fabrics from basalt, glass, and carbon fibers. The results of studying elastic strength properties reveal a significant increase in the ultimate strength of reinforced samples in comparison with an unmodified elastomer. The increase in tensile strength varies from 1.7 to 2.8 times. The addition of reinforcing layers reduced the elongation value by 25 to 47 times compared to rubber without reinforcement. High tensile strength and low elongation increase shear resistance. The wear resistance testing of elastomers coated with reinforcing fabrics shows a decrease in abrasion resistance reduced by a factor of 5.8. Abrasion wear and interaction between the reinforcing filler and the polymer are studied by electron microscopy. The study of the microstructure shows a weak contact between the fiber and the elastomeric matrix. Lack of contact during the abrasion process causes destruction of the fibers on the abrasive surface and their further separation. Due to the combination of high tensile strength and low elongation, the reinforced materials obtain high modulus properties combined with lateral mobility.
提高弹性体的强度和刚度是提高弹性体性能的一个相关课题,它影响橡胶制品的可靠性和耐久性。本文介绍了一种基于SKD-V丁二烯橡胶和玄武岩纤维、玻璃纤维和碳纤维织物增强层的高模量材料制造技术。研究弹性强度特性的结果表明,与未经改性的弹性体相比,增强样品的极限强度显着增加。抗拉强度增加1.7 ~ 2.8倍。与不加筋的橡胶相比,加筋层的橡胶伸长率降低了25 ~ 47倍。高抗拉强度和低伸长率增加抗剪性。经增强织物包覆的弹性体耐磨性试验表明,其耐磨性降低了5.8倍。用电子显微镜研究了增强填料与聚合物之间的磨损和相互作用。微观结构研究表明,纤维与弹性基体之间存在弱接触。在磨损过程中缺乏接触会导致磨料表面纤维的破坏和进一步分离。由于高抗拉强度和低延伸率的结合,增强材料获得高模量性能和横向迁移率。
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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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