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Moscow University Mechanics Bulletin最新文献

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Equivalence of Systems of Two-Dimensional Shallow-Water Equations over Horizontal and Sloping Bottom 水平底和倾斜底二维浅水方程系统的等价性
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2024-03-23 DOI: 10.3103/S002713302306002X
A. V. Aksenov
{"title":"Equivalence of Systems of Two-Dimensional Shallow-Water Equations over Horizontal and Sloping Bottom","authors":"A. V. Aksenov","doi":"10.3103/S002713302306002X","DOIUrl":"10.3103/S002713302306002X","url":null,"abstract":"<p>A point transformation determining the equivalence of systems of equations of two-dimensional shallow water over horizontal and sloping bottoms is obtained. The symmetries of these systems of equations are found.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 6","pages":"156 - 158"},"PeriodicalIF":0.3,"publicationDate":"2024-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140203462","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Traveling Wave Solutions to Equations of Two-Velocity Deep Bed Filtration 双速深床过滤方程的行波解决方案
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2024-03-23 DOI: 10.3103/S0027133023060018
N. E. Leontiev, K. Taurbaeva
{"title":"Traveling Wave Solutions to Equations of Two-Velocity Deep Bed Filtration","authors":"N. E. Leontiev,&nbsp;K. Taurbaeva","doi":"10.3103/S0027133023060018","DOIUrl":"10.3103/S0027133023060018","url":null,"abstract":"<p>Traveling wave solutions to the deep bed filtration system are constructed for a model with different velocities of a carrier fluid and suspended particles. The solution in quadratures is obtained when the velocity of the carrier fluid and that of the particles differ by a concentration-dependent factor. For some special cases, the physically realizable domains are found in the space of governing parameters. The solutions that may be interpreted as a clogging wave structure are presented.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 6","pages":"159 - 164"},"PeriodicalIF":0.3,"publicationDate":"2024-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140203456","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Testing the Isotropy Postulate at Deformation of V95 Aluminum Alloy along Two-Link Polygonal-Chain Trajectories 测试 V95 铝合金沿两链多边形链轨迹变形时的各向同性假设
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-12-21 DOI: 10.3103/S0027133023050059
V. G. Zubchaninov, V. I. Gultyaev, A. A. Alekseev, I. A. Savrasov
{"title":"Testing the Isotropy Postulate at Deformation of V95 Aluminum Alloy along Two-Link Polygonal-Chain Trajectories","authors":"V. G. Zubchaninov,&nbsp;V. I. Gultyaev,&nbsp;A. A. Alekseev,&nbsp;I. A. Savrasov","doi":"10.3103/S0027133023050059","DOIUrl":"10.3103/S0027133023050059","url":null,"abstract":"<p>This article considers a series of three experiments on the elastoplastic deformation of the V95 alloy, which is sensitive to the type of stress state. Experimental studies were carried out on a CL-EVM (complex loading) test machine on thin-walled tubular specimens during their deformation along two-link strain trajectories with 90 degree break angles. Experimental studies were carried out in the deviatoric plane <span>(text{E}_{1}-text{E}_{3})</span> with simultaneous combined action of axial force and torque on tubular specimens (<span>(P-M)</span> experiments). The scalar and vector properties of the V95 aluminum alloy are studied. It is found that, for the implemented complex strain trajectories in the form of two-link polygonal chains for the V95 material, the isotropy postulate is not fulfilled accurately enough in terms of scalar and vector properties.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 5","pages":"128 - 133"},"PeriodicalIF":0.3,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139027225","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Peculiarities of Behavior of Simplest Models of Nonlinear Elasticity Constructed Based on New Holonomic Tensor Measures 基于新整体张量构建的非线性弹性最简单模型的行为特征
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-12-21 DOI: 10.3103/S0027133023050047
E. S. Klimov, G. L. Brovko
{"title":"Peculiarities of Behavior of Simplest Models of Nonlinear Elasticity Constructed Based on New Holonomic Tensor Measures","authors":"E. S. Klimov,&nbsp;G. L. Brovko","doi":"10.3103/S0027133023050047","DOIUrl":"10.3103/S0027133023050047","url":null,"abstract":"<p>We consider new holonomic tensor measures of strain and stresses and build nonlinear elasticity models for which the problems of stretching of a thin wide plate and uniaxial stretching of a rod from incompressible materials are solved. These models are congruent with classical ones when deformation is small, and they essentially demonstrate various properties at large deformations.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 5","pages":"119 - 127"},"PeriodicalIF":0.3,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139027062","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Limit Reachability Region for Special Form of Third-Order Linear Oscillating System 三阶线性振荡系统特殊形式的极限可达性区域
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-12-21 DOI: 10.3103/S0027133023050035
D. I. Bugrov
{"title":"Limit Reachability Region for Special Form of Third-Order Linear Oscillating System","authors":"D. I. Bugrov","doi":"10.3103/S0027133023050035","DOIUrl":"10.3103/S0027133023050035","url":null,"abstract":"<p>The problem under consideration is to find periodic trajectories lying on the boundary of the limit reachability region of a linear time-invariant third-order system with one controlling action bounded in absolute value. It is assumed that the characteristic equation of a homogeneous system has one negative real root and two complex conjugate roots, the real parts of all three roots are the same. The results make it possible to construct the boundary of the limit reachability region (for an infinitely long control time) in the form of analytical expressions on the system parameters.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 5","pages":"143 - 148"},"PeriodicalIF":0.3,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139027071","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Computing a Transfer Function of the Poincaré–Steklov Operator for a Functionally Graded Elastic Strip 计算功能分级弹性带的 Poincaré-Steklov 算子的传递函数
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-12-21 DOI: 10.3103/S0027133023050023
A. A. Bobylev
{"title":"Computing a Transfer Function of the Poincaré–Steklov Operator for a Functionally Graded Elastic Strip","authors":"A. A. Bobylev","doi":"10.3103/S0027133023050023","DOIUrl":"10.3103/S0027133023050023","url":null,"abstract":"<p>A boundary value problem is considered in a functionally graded\u0000elastic strip. A three-term asymptotic expansion of a transfer\u0000function is obtained for the Poincaré–Steklov operator that\u0000maps normal stresses to normal displacements on a part of the\u0000strip boundary. Padé approximations are determined for the\u0000obtained asymptotic series. An approach to computing the transfer\u0000function using the asymptotic series and the Padé approximations\u0000is proposed, which reduces computational costs.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 5","pages":"134 - 142"},"PeriodicalIF":0.3,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139027067","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Quasi-Self-Similar Solutions to Some Parabolic Problems in the Theory of Viscoplastic Flow 粘塑性流动理论中一些抛物型问题的拟自相似解
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-11-13 DOI: 10.3103/S0027133023040027
V. A. Banko, D. V. Georgievskii
{"title":"Quasi-Self-Similar Solutions to Some Parabolic Problems in the Theory of Viscoplastic Flow","authors":"V. A. Banko,&nbsp;D. V. Georgievskii","doi":"10.3103/S0027133023040027","DOIUrl":"10.3103/S0027133023040027","url":null,"abstract":"<p>The initial-boundary value problems of acceleration from a state of rest of a two-constant viscoplastic medium (Bingham body) in a half-plane is investigated when the tangential stress is given at the boundary as a piecewise continuous monotonically nondecreasing function of time. As an additional condition at an unknown interface between a flow zone that increases with time in thickness and a stationary semi-infinite rigid zone, the requirement is chosen that the solution of this problem with a tendency to zero of the yield strength of the material at each point and at each moment of time tends to the solution of the corresponding viscous flow problem known as the generalized vortex layer diffusion problem. The exact analytical solutions are found for tangential stress and velocity profiles in nonstationary one-dimensional flow. The cases of self-similarity and so-called quasi-self-similarity are distinguished. The nature of the tendency at <span>(ttoinfty)</span> of the thickness of the layer, in which the shear is realized, to infinity is of particular interest.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 4","pages":"102 - 109"},"PeriodicalIF":0.3,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134796259","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Generalized Cesàro Formulas and Third-Order Compatibility Equations 广义Cesàro公式与三阶相容方程
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-11-13 DOI: 10.3103/S0027133023040040
S. A. Lurie, P. A. Belov
{"title":"Generalized Cesàro Formulas and Third-Order Compatibility Equations","authors":"S. A. Lurie,&nbsp;P. A. Belov","doi":"10.3103/S0027133023040040","DOIUrl":"10.3103/S0027133023040040","url":null,"abstract":"<p>We consider the classical problem of elasticity theory concerning the conditions of strain compatibility, which ensure the determination of a continuous field of displacements of an elastic body by the strain field. We construct generalized Cesàro representations that allow defining the displacement field through integrodifferential operators on the components of the strain tensor deviator with an accuracy up to quadratic polynomials. It has been established that the quadratures both for the pseudovector of local rotations and for the bulk strain are completely determined by the strain deviator field. We present the conditions for the existence of the listed quadratures, which are written in the form of five third differential order compatibility equations for the five components of the strain deviator tensor.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 4","pages":"110 - 113"},"PeriodicalIF":0.3,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134796260","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Variational Principle of Lagrange in the Micropolar Theory of Elasticity at Nonisothermal Processes 非等温过程弹性微极理论中的拉格朗日变分原理
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-11-13 DOI: 10.3103/S0027133023040052
A. V. Romanov
{"title":"On the Variational Principle of Lagrange in the Micropolar Theory of Elasticity at Nonisothermal Processes","authors":"A. V. Romanov","doi":"10.3103/S0027133023040052","DOIUrl":"10.3103/S0027133023040052","url":null,"abstract":"<p>In this paper, a variational principle of Lagrange, the Ritz\u0000method, and piecewise polynomial serendipity shape functions are\u0000used to obtain a stiffness matrix and a system of linear algebraic\u0000equations in the micropolar theory of elasticity for anisotropic,\u0000isotropic, and centrally symmetric material in case of a\u0000nonisothermal process.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 4","pages":"114 - 118"},"PeriodicalIF":0.3,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134878323","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Equilibrium Point and Phase Portrait of a Model for Flow of Tixotropic Media Accounting for Structure Evolution 考虑结构演化的转向介质流动模型的平衡点和相图
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2023-11-13 DOI: 10.3103/S0027133023040039
A. V. Khokhlov
{"title":"Equilibrium Point and Phase Portrait of a Model for Flow of Tixotropic Media Accounting for Structure Evolution","authors":"A. V. Khokhlov","doi":"10.3103/S0027133023040039","DOIUrl":"10.3103/S0027133023040039","url":null,"abstract":"<p>We continue the systematic analytical study of a nonlinear Maxwell-type constitutive equation for shear flow for thixotropic viscoelastic media accounting for interaction of deformation process and structure evolution, namely, the influence of the kinetics formation and breakage of chain cross-links, agglomerations of molecules and crystallites on viscosity and shear modulus and deformation influence on the kinetics. We formulated it in the previous article and reduced it to the set of two nonlinear autonomous differential equations for two unknown functions (namely, the stress and relative cross-links density). We examine the phase portrait of the system for arbitrary (increasing) material function and six (positive) material parameters governing the model and prove that the (unique) equilibrium point is stable and the only three cases are realized: the equilibrium point is either a stable sink, or a degenerated stable sink, or a stable spiral sink. We found criteria for every case in the form of explicit restrictions on the material function and parameters and shear rate.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 4","pages":"91 - 101"},"PeriodicalIF":0.3,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134796258","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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