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Exact Solution of the Wiener–Hopf Equation on the Segment for Contact Problems of the Theory of Cracks in a Layered Medium 层状介质裂缝理论中接触问题分段上的维纳-霍普夫方程精确解法
IF 0.6 4区 物理与天体物理
Doklady Physics Pub Date : 2023-12-26 DOI: 10.1134/S1028335823040018
V. A. Babeshko, O. V. Evdokimova, O. M. Babeshko, M. V. Zaretskaya, V. S. Evdokimov
{"title":"Exact Solution of the Wiener–Hopf Equation on the Segment for Contact Problems of the Theory of Cracks in a Layered Medium","authors":"V. A. Babeshko,&nbsp;O. V. Evdokimova,&nbsp;O. M. Babeshko,&nbsp;M. V. Zaretskaya,&nbsp;V. S. Evdokimov","doi":"10.1134/S1028335823040018","DOIUrl":"10.1134/S1028335823040018","url":null,"abstract":"<p>This paper presents an approach that allows us for the first time to construct an exact solution of the Wiener–Hopf integral equations on a finite segment for the case of meromorphic functions in Fourier transforms of the kernel. The Wiener–Hopf integral equation is traditionally considered set on a semi-infinite segment. However, in applications, there are often cases of their application specified on a finite segment. For these purposes, approximate methods of applying these integral equations have been developed. However, when considering the Wiener–Hopf integral equations generated by mixed problems of continuum mechanics and mathematical physics in a multilayer medium of finite thickness, it turned out that these integral equations are solved exactly both on semi-infinite and finite segments. The approach is based on a new modeling method in differential equations and in some types of integral equations. It allows the reduction of Wiener–Hopf integral equations to infinite systems of linear algebraic equations that are solved exactly. The obtained result opens up the possibility of constructing exact solutions to boundary value problems for deformable stamps and cracks of a new type in bounded bodies.</p>","PeriodicalId":533,"journal":{"name":"Doklady Physics","volume":"68 4","pages":"120 - 124"},"PeriodicalIF":0.6,"publicationDate":"2023-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139053612","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Obtaining the Thermoelectric Material Cu2Se by the Self-Propagating High-Temperature Synthesis Method 利用自蔓延高温合成法获得热电材料 Cu2Se
IF 0.6 4区 物理与天体物理
Doklady Physics Pub Date : 2023-12-26 DOI: 10.1134/S1028335823040043
G. R. Nigmatullina, D. Yu. Kovalev,  M. I. Alymov
{"title":"Obtaining the Thermoelectric Material Cu2Se by the Self-Propagating High-Temperature Synthesis Method","authors":"G. R. Nigmatullina,&nbsp;D. Yu. Kovalev,&nbsp; M. I. Alymov","doi":"10.1134/S1028335823040043","DOIUrl":"10.1134/S1028335823040043","url":null,"abstract":"<p>Using the method of self-propagating high-temperature synthesis in the combustion mode, a product based on the α-Cu<sub>2</sub>Se phase was obtained from a 2Cu + Se powder mixture. The effect of synthesis conditions on the composition of the combustion product was studied, and the unit cell parameters of the synthesized phases were determined. It has been established that, as a result of combustion of pressed 2Cu+Se mixtures at an Ar pressure of 0.5–1.5 MPa, a product is formed containing two modifications of Cu<sub>2</sub>Se—the low-temperature monoclinic α-Cu<sub>2</sub>Se and high-temperature cubic β-Cu<sub>1.8</sub>Se phases. Combustion of a 2Cu+Se mixture of bulk density at an Ar pressure above 0.5 MPa yielded a single-phase product, the monoclinic α-Cu<sub>2</sub>Se phase.</p>","PeriodicalId":533,"journal":{"name":"Doklady Physics","volume":"68 4","pages":"113 - 119"},"PeriodicalIF":0.6,"publicationDate":"2023-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139053332","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Moment-Membrane Theory of Elastic Flexible Plates as a Continual Geometrically Nonlinear Theory of a Graphene Sheet 弹性柔性板的动量-膜理论作为石墨烯薄片的连续几何非线性理论
IF 0.6 4区 物理与天体物理
Doklady Physics Pub Date : 2023-12-26 DOI: 10.1134/S1028335823040055
S. H. Sargsyan
{"title":"The Moment-Membrane Theory of Elastic Flexible Plates as a Continual Geometrically Nonlinear Theory of a Graphene Sheet","authors":"S. H. Sargsyan","doi":"10.1134/S1028335823040055","DOIUrl":"10.1134/S1028335823040055","url":null,"abstract":"<p>A geometrically nonlinear moment-membrane theory of elastic plates has been built as a continual theory of deformations of flexible graphene under the assumption of smallness of deformations, bending-torsional characteristics, and angles of rotation (including a free one) of plate elements on the basis of the 3D geometrically nonlinear moment theory of elasticity with preservation of only the nonlinear terms that come from normal displacement (deflection) and its derivatives. For this nonlinear theory of elastic plates, the resolving equations are presented also in mixed form by introducing stress functions: this is a system of equilibrium equations for the transverse bending deformation compiled in the deformed state of the plate and the deformation continuity equations expressed by the stress and deflection functions. The Lagrangian-type variational principle for the geometrically nonlinear moment-membrane theory of elastic plates has been established.</p>","PeriodicalId":533,"journal":{"name":"Doklady Physics","volume":"68 4","pages":"125 - 130"},"PeriodicalIF":0.6,"publicationDate":"2023-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139053198","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Elastic-Wave Scattering by a Plane Crack: Application of Flaw Detection 平面裂缝的弹性波散射：缺陷检测的应用
IF 0.6 4区 物理与天体物理
Doklady Physics Pub Date : 2023-12-25 DOI: 10.1134/S1028335823030011
N. P. Aleshin, L. Yu. Mogilner
{"title":"Elastic-Wave Scattering by a Plane Crack: Application of Flaw Detection","authors":"N. P. Aleshin,&nbsp;L. Yu. Mogilner","doi":"10.1134/S1028335823030011","DOIUrl":"10.1134/S1028335823030011","url":null,"abstract":"<p>The 3D problem of elastic wave scattering by a crack in the form of a half-plane in an elastic medium is considered. It is noted that the previously published solutions do not fully cover the issues relevant to ultrasonic flaw detection, for example, detecting transverse cracks in welds. The proposed solution is made by the Wiener–Hopf technique. It is shown that scattered longitudinal and transverse waves can be generally written in closed form. Some features of the identification of the tip of transverse cracks are noted, including scattering features during sonication of cracks along their surface and the influence of critical angles.</p>","PeriodicalId":533,"journal":{"name":"Doklady Physics","volume":"68 3","pages":"97 - 105"},"PeriodicalIF":0.6,"publicationDate":"2023-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139053597","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Symmetry of the Lundgren–Monin–Novikov Equation for the Probability Distribution of the Vortex Field 涡流场概率分布的伦德格伦-莫宁-诺维科夫方程的对称性
IF 0.6 4区 物理与天体物理
Doklady Physics Pub Date : 2023-12-25 DOI: 10.1134/S1028335823010044
V. N. Grebenev, A. N. Grishkov, M. Oberlack
{"title":"Symmetry of the Lundgren–Monin–Novikov Equation for the Probability Distribution of the Vortex Field","authors":"V. N. Grebenev,&nbsp;A. N. Grishkov,&nbsp;M. Oberlack","doi":"10.1134/S1028335823010044","DOIUrl":"10.1134/S1028335823010044","url":null,"abstract":"<p>Polyakov [Nuclear Phys. B, 396, 1993] proposed a program for expanding the group of symmetries of hydrodynamic models to the conformal invariance of statistics in inverse cascades, where the conformal group is infinite-dimensional. This study presents group <i>G</i> of transformations of the equation for an <span>(n)</span>-point probability density function <i>f</i><sub><i>n</i></sub> (PDF) from an infinite chain of the Lundgren–Monin–Novikov equations (the statistical form of the Euler equations) for the field of a vortex of two-dimensional flow. The main result obtained is that the group <i>G</i> transforms conformally the characteristics of the zero-vorticity equation and, invariantly, the family of the <i>f</i><sub><i>n</i></sub> equations for the PDF along these lines. Along with other characteristics, the equation is not invariant. The action of <i>G</i> retains the PDF class. The results obtained can be used to study the invariance of the statistical properties in optical turbulence.</p>","PeriodicalId":533,"journal":{"name":"Doklady Physics","volume":"68 3","pages":"92 - 96"},"PeriodicalIF":0.6,"publicationDate":"2023-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139053635","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Experimental Study of the Nonmodal Perturbation Growth Mechanism in a Laminar Submerged Jet 层流浸没式喷流中的非模态扰动增长机制实验研究
IF 0.6 4区 物理与天体物理
Doklady Physics Pub Date : 2023-12-25 DOI: 10.1134/S1028335823020015
D. A. Ashurov, V. V. Vedeneev, L. R. Gareev, O. O. Ivanov
{"title":"Experimental Study of the Nonmodal Perturbation Growth Mechanism in a Laminar Submerged Jet","authors":"D. A. Ashurov,&nbsp;V. V. Vedeneev,&nbsp;L. R. Gareev,&nbsp;O. O. Ivanov","doi":"10.1134/S1028335823020015","DOIUrl":"10.1134/S1028335823020015","url":null,"abstract":"<p>It is known that, in wall-bounded flows, along with the growth of instability modes, an important role is played by the nonmodal (algebraic) mechanism of linear growth. In unbounded flows, including submerged jets, the nonmodal growth mechanism has been theoretically studied only in the last decade; this mechanism has not yet been identified in experiments. This paper describes experiments on excitation of the nonmodal “lift-up” growth mechanism. Special wavy structures (deflectors) are introduced into a laminar submerged jet of circular cross section, which excites a roller-like transverse motion. The data obtained make it possible to identify unambiguously the nonmodal lift-up growth of the introduced perturbations. The development of perturbations in the experiment qualitatively agrees with the theoretically calculated optimal perturbations. The specificities of the transition to turbulence caused by nonmodal growth are considered.</p>","PeriodicalId":533,"journal":{"name":"Doklady Physics","volume":"68 3","pages":"77 - 86"},"PeriodicalIF":0.6,"publicationDate":"2023-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139053087","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Direct Experiment on the Passage of Ultra-Wideband Pulses of Subnanosecond Duration in the Earth’s Atmosphere 亚纳秒超宽带脉冲在地球大气层中传播的直接实验
IF 0.6 4区 物理与天体物理
Doklady Physics Pub Date : 2023-12-25 DOI: 10.1134/S1028335823030035
S. V. Garnov,  V. D. Selemir, V. V. Bukin, D. A. Gorbenko, T. V. Dolmatov, V. S. Zhdanov, M. V. Efanov, E. F. Lebedev, V. E. Ostashev, A. V. Semenov, A. V. Ulianov, V. M. Fedorov, M. A. Shurupov
{"title":"A Direct Experiment on the Passage of Ultra-Wideband Pulses of Subnanosecond Duration in the Earth’s Atmosphere","authors":"S. V. Garnov,&nbsp; V. D. Selemir,&nbsp;V. V. Bukin,&nbsp;D. A. Gorbenko,&nbsp;T. V. Dolmatov,&nbsp;V. S. Zhdanov,&nbsp;M. V. Efanov,&nbsp;E. F. Lebedev,&nbsp;V. E. Ostashev,&nbsp;A. V. Semenov,&nbsp;A. V. Ulianov,&nbsp;V. M. Fedorov,&nbsp;M. A. Shurupov","doi":"10.1134/S1028335823030035","DOIUrl":"10.1134/S1028335823030035","url":null,"abstract":"<p>The results of the first direct experiments on the passage of pulses of ultra-wideband radiation of subnanosecond duration in the Earth’s atmosphere at a distance of more than 10 km are presented. In contrast to the work calculated, the preservation of the amplitude–time shape of the pulses in the process of increasing the distance is shown. The establishment of this fact is of decisive importance in the practical application of ultra-wideband pulses in new technological developments.</p>","PeriodicalId":533,"journal":{"name":"Doklady Physics","volume":"68 3","pages":"67 - 71"},"PeriodicalIF":0.6,"publicationDate":"2023-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139053189","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Approximation of the Attractive Field of a Body Close to Dynamically Symmetrical Using the Attractive Field of Three Balls 用三个球的吸引力场逼近接近动态对称体的吸引力场
IF 0.6 4区 物理与天体物理
Doklady Physics Pub Date : 2023-12-25 DOI: 10.1134/S1028335823030023
A. A. Burov, V. I. Nikonov
{"title":"Approximation of the Attractive Field of a Body Close to Dynamically Symmetrical Using the Attractive Field of Three Balls","authors":"A. A. Burov,&nbsp;V. I. Nikonov","doi":"10.1134/S1028335823030023","DOIUrl":"10.1134/S1028335823030023","url":null,"abstract":"<p>In this paper, we consider the attraction field of a rigid body close to a dynamically symmetric one. The question of how to approximate this attractive field by the attractive field of three homogeneous balls so that the series expansion of the gravitational potential for these fields coincides up to terms of the fifth order of smallness is studied. As an example, the three-ball approximation as applied to asteroid (433) Eros is considered.</p>","PeriodicalId":533,"journal":{"name":"Doklady Physics","volume":"68 3","pages":"87 - 91"},"PeriodicalIF":0.6,"publicationDate":"2023-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139053190","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Lidar Monitoring of Magmatic Activity in the Small Chamber of the Elbrus Volcanic Center 激光雷达监测厄尔布鲁士火山中心小室的岩浆活动
IF 0.6 4区 物理与天体物理
Doklady Physics Pub Date : 2023-12-25 DOI: 10.1134/S1028335823030047
S. M. Pershin,  A. L. Sobisevich, V. S. Makarov, A. V. Myasnikov, M. Ya. Grishin, V. A. Zavozin, V. N. Lednev, D. V. Likhodeev, V. V. Kazalov
{"title":"Lidar Monitoring of Magmatic Activity in the Small Chamber of the Elbrus Volcanic Center","authors":"S. M. Pershin,&nbsp; A. L. Sobisevich,&nbsp;V. S. Makarov,&nbsp;A. V. Myasnikov,&nbsp;M. Ya. Grishin,&nbsp;V. A. Zavozin,&nbsp;V. N. Lednev,&nbsp;D. V. Likhodeev,&nbsp;V. V. Kazalov","doi":"10.1134/S1028335823030047","DOIUrl":"10.1134/S1028335823030047","url":null,"abstract":"<p>In this paper, the results of lidar monitoring of magmatic aerosol variation are presented. The lidar was installed in a hot dead-end tunnel at the end of the auxiliary adit of the Baksan Neutrino Observatory (BNO) of the Institute for Nuclear Research, Russian Academy of Sciences, which is located above the small magma chamber of the Elbrus Volcanic Center. A sharp (within ~30 min) threefold increase in the aerosol concentration in the hot tunnel was detected (October 28, 2019, 22:30 UTC). The analysis involved data on volumetric radon activity, air temperature, and humidity. A synchronous increase in temperature, humidity, and aerosol concentration in the tunnel, as well as their correlation with the deformation of the Earth’s crust by tidal waves, which is monitored at the BNO with a laser strainmeter, was revealed. However, the threefold jump did not appear in these signals. The totality of data confirms the existence of a hot magma chamber at the base of Mount Andyrchi that was previously discovered by a small-aperture seismometer group. The assumption that the release of gases from the magma chamber could provide a jump in the concentration of aerosols without disturbing other parameters is discussed.</p>","PeriodicalId":533,"journal":{"name":"Doklady Physics","volume":"68 3","pages":"72 - 76"},"PeriodicalIF":0.6,"publicationDate":"2023-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139053598","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Three-Term Representations of Power Tensor Series in the Theory of Constitutive Relations 幂张量级数在本构关系理论中的三项表示
IF 0.8 4区 物理与天体物理
Doklady Physics Pub Date : 2023-11-02 DOI: 10.1134/S1028335823010032
D. V. Georgievskii
{"title":"Three-Term Representations of Power Tensor Series in the Theory of Constitutive Relations","authors":"D. V. Georgievskii","doi":"10.1134/S1028335823010032","DOIUrl":"10.1134/S1028335823010032","url":null,"abstract":"<p>A class of power tensor series (constitutive relations) with coefficients (material functions) that are functions of three independent invariants is considered in three-dimensional space. Based on the Hamilton–Cayley formula, the exact expressions in the form of matrix series are found for the coefficients of three-term representations of such power series. The relationship of the coefficients of direct and inverse three-term constitutive relations is derived. Cases of tensor linearity, or quasi-linearity, as well as the independence of material functions from invariants, are discussed.</p>","PeriodicalId":533,"journal":{"name":"Doklady Physics","volume":"68 1","pages":"6 - 8"},"PeriodicalIF":0.8,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71908760","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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