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Moscow University Mechanics Bulletin最新文献

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On the Computation of the Transfer Function of the Poincaré–Steklov Operator for a Functionally Graded Elastic Layer 函数梯度弹性层poincar<s:1> - steklov算子传递函数的计算
IF 0.5
Moscow University Mechanics Bulletin Pub Date : 2026-06-28 DOI: 10.3103/S0027133026700068
A. A. Bobylev
{"title":"On the Computation of the Transfer Function of the Poincaré–Steklov Operator for a Functionally Graded Elastic Layer","authors":"A. A. Bobylev","doi":"10.3103/S0027133026700068","DOIUrl":"10.3103/S0027133026700068","url":null,"abstract":"<p>The Poincaré–Steklov operator for an elastic layer is considered, mapping normal stresses into normal displacements on a part of its boundary. It is shown that for calculating the transfer function of this operator of a three-dimensional boundary value problem for a functionally graded layer, the computational algorithm can be used that was previously developed for building the transfer function of the specified operator of a plane strain problem for a functionally graded strip.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"81 1","pages":"35 - 39"},"PeriodicalIF":0.5,"publicationDate":"2026-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323936","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
Step Waves in Falling Liquid Films 下降液膜中的阶跃波
IF 0.5
Moscow University Mechanics Bulletin Pub Date : 2026-06-28 DOI: 10.3103/S0027133026700020
V. Ya. Shkadov, A. N. Beloglazkin, I. V. Shishkin
{"title":"Step Waves in Falling Liquid Films","authors":"V. Ya. Shkadov,&nbsp;A. N. Beloglazkin,&nbsp;I. V. Shishkin","doi":"10.3103/S0027133026700020","DOIUrl":"10.3103/S0027133026700020","url":null,"abstract":"<p>The axisymmetric flow of a thin layer of viscous liquid down the outer surface of a vertical cylinder in the field of gravity is considered. The process is modeled using the Kapitsa–Shkadov approach. Wave modes with step waves characterized by the presence of a film thickness drop are investigated. It is found that the existence regions of step wave solutions are strips.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"81 1","pages":"9 - 15"},"PeriodicalIF":0.5,"publicationDate":"2026-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323935","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
Modeling the Three-Dimensional Elastoplastic Deformation Processes of Moderate Curvature 中等曲率三维弹塑性变形过程的建模
IF 0.5
Moscow University Mechanics Bulletin Pub Date : 2026-06-28 DOI: 10.3103/S0027133026700032
A. V. Muravlev, M. A. Stepina
{"title":"Modeling the Three-Dimensional Elastoplastic Deformation Processes of Moderate Curvature","authors":"A. V. Muravlev,&nbsp;M. A. Stepina","doi":"10.3103/S0027133026700032","DOIUrl":"10.3103/S0027133026700032","url":null,"abstract":"<p>The Il’yushin deformation plasticity theory describes a material particle behavior by means of geometrical properties of its loading path. Any path can be classified by the degree of difference between it and the proportional loading paths. Loading paths with a moderate curvature and a small torsion are the most complicated of such classes having the corresponding stress–strain relations. In the present paper, the constitutive relations for moderate curvature and torsion loading paths are proposed and examined experimentally.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"81 1","pages":"16 - 23"},"PeriodicalIF":0.5,"publicationDate":"2026-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323553","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
Reduction of the Soto–Alexandrov Model of Activity of the Afferent Primary Neuron 传入初级神经元活动的Soto-Alexandrov模型的简化
IF 0.5
Moscow University Mechanics Bulletin Pub Date : 2026-06-28 DOI: 10.3103/S002713302670007X
V. V. Alexandrov, D. I. Bugrov, A. S. Klyuev
{"title":"Reduction of the Soto–Alexandrov Model of Activity of the Afferent Primary Neuron","authors":"V. V. Alexandrov,&nbsp;D. I. Bugrov,&nbsp;A. S. Klyuev","doi":"10.3103/S002713302670007X","DOIUrl":"10.3103/S002713302670007X","url":null,"abstract":"<p>We consider a nonlinear ordinary differential system of the third order—the Hodgkin–Huxley model with Soto–Alexandrov modifications. The system is reduced to a second-order system and an algebraic equation in the vicinity of the equilibrium point which corresponds to the Andronov–Hopf bifurcation. This results in the transition to the second-order model with the value refinement</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"81 1","pages":"30 - 34"},"PeriodicalIF":0.5,"publicationDate":"2026-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323937","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
Determining the Optimal Value of the Order of Spectral Element in the Solution of Full-Wave Modeling Problem in Seismic Exploration 地震勘探全波建模问题中谱元阶次最优值的确定
IF 0.5
Moscow University Mechanics Bulletin Pub Date : 2026-06-28 DOI: 10.3103/S0027133026700019
A. M. Antonov, D. S. Kunchenko, A. V. Vershinin, Yu. P. Ampilov, V. A. Levin, K. A. Petrovsky
{"title":"Determining the Optimal Value of the Order of Spectral Element in the Solution of Full-Wave Modeling Problem in Seismic Exploration","authors":"A. M. Antonov,&nbsp;D. S. Kunchenko,&nbsp;A. V. Vershinin,&nbsp;Yu. P. Ampilov,&nbsp;V. A. Levin,&nbsp;K. A. Petrovsky","doi":"10.3103/S0027133026700019","DOIUrl":"10.3103/S0027133026700019","url":null,"abstract":"<p>The article solves a three-dimensional dynamic problem of elasticity theory for modeling the propagation of seismic waves in a heterogeneous geological environment, which is a model of a field with an area of about 200 km<span>({}^{2})</span>, using the spectral element method at different approximation orders. A detailed description of the problem and a numerical method for solving it are given. A qualitative analysis of the modeling results is given, as well as an estimate of the costs of computational time and memory at different elements orders. A justification is given for the 8th order of the spectral element as optimal under the conditions of this problem, and a technique for qualitative assessing the optimal order in similar situations is provided.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"81 1","pages":"1 - 8"},"PeriodicalIF":0.5,"publicationDate":"2026-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323934","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
Exact Solutions to the System of Equations of Shallow Water over an Inclined Bottom: Arrival of a Wave to the Shore 斜底浅水方程组的精确解：波浪到达岸边
IF 0.5
Moscow University Mechanics Bulletin Pub Date : 2026-06-28 DOI: 10.3103/S0027133026700081
A. V. Aksenov, L. O. Malgina
{"title":"Exact Solutions to the System of Equations of Shallow Water over an Inclined Bottom: Arrival of a Wave to the Shore","authors":"A. V. Aksenov,&nbsp;L. O. Malgina","doi":"10.3103/S0027133026700081","DOIUrl":"10.3103/S0027133026700081","url":null,"abstract":"<p>A linear system of equations is considered, which is reduced by a point transformation to a nonlinear system of equations of shallow water over an inclined bottom. A complex-valued family of solutions to a linear system of equations that are invariant with respect to a one-parameter group of transformations is obtained. A two-parameter family of solutions to a nonlinear system of equations describing the arrival and reflection of a wave from the shore is identified. The effects of splash and wave rollback are detected. Examples of such solutions are given.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"81 1","pages":"24 - 29"},"PeriodicalIF":0.5,"publicationDate":"2026-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323933","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
The Hardening Effect for Mode I Cracks Loaded by Forces Parallel to the Crack 平行于裂纹的力对I型裂纹的硬化效应
IF 0.7
Moscow University Mechanics Bulletin Pub Date : 2026-04-01 DOI: 10.3103/S0027133025700359
S. A. Lurie, Ya. E. Salganskaya, I. E. Furtak
{"title":"The Hardening Effect for Mode I Cracks Loaded by Forces Parallel to the Crack","authors":"S. A. Lurie,&nbsp;Ya. E. Salganskaya,&nbsp;I. E. Furtak","doi":"10.3103/S0027133025700359","DOIUrl":"10.3103/S0027133025700359","url":null,"abstract":"<p>The paper considers the effect of possible hardening of a sample with a crack with additional compression forces along the crack. This effect was first experimentally discovered by a group of scientists led by Z. Bažant in the study of a normal separation crack and has not yet received a proper explanation. In this paper, instead of the classical singular solution, we propose to consider a nonlocal regular solution for a normal separation crack, in which the stress components are regular and determine the stress concentration. In this case it becomes possible to assess the maximum loads using traditional strength criteria. It is shown that this approach allows modeling the Bažant effect and predicting its manifestation for various materials through the scale parameter in regular solutions.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 6","pages":"223 - 233"},"PeriodicalIF":0.7,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147579276","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
Effect of Anisotropy of the Shell on the Radial Oscillations of an Encapsulated Gas Bubble 壳体各向异性对封装气泡径向振动的影响
IF 0.7
Moscow University Mechanics Bulletin Pub Date : 2026-04-01 DOI: 10.3103/S0027133025700384
Yu. V. Fedorov
{"title":"Effect of Anisotropy of the Shell on the Radial Oscillations of an Encapsulated Gas Bubble","authors":"Yu. V. Fedorov","doi":"10.3103/S0027133025700384","DOIUrl":"10.3103/S0027133025700384","url":null,"abstract":"<p>A modified Keller–Miksis equation, taking into account radial oscillations of a gas bubble covered by an anisotropic shell and located in the carrier liquid is presented. Numerical calculations are performed. The influence of the shell anisotropy on the radial oscillations of a gas bubble in an external acoustic field is analyzed. In a particular case, a comparison of the theory with available experimental data is given.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 6","pages":"251 - 255"},"PeriodicalIF":0.7,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147579279","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 Generalization of the Standard Linear Solid Model to the Case of Finite Deformations 标准线性实体模型在有限变形情况下的推广
IF 0.7
Moscow University Mechanics Bulletin Pub Date : 2026-04-01 DOI: 10.3103/S0027133025700396
E. D. Martynova, A. K. Markin
{"title":"On the Generalization of the Standard Linear Solid Model to the Case of Finite Deformations","authors":"E. D. Martynova,&nbsp;A. K. Markin","doi":"10.3103/S0027133025700396","DOIUrl":"10.3103/S0027133025700396","url":null,"abstract":"<p>The paper develops a finite deformation extension of the standard linear solid model (the three-constant viscoelastic model) model. We demonstrate that, unlike this model describes limited creep, compared to the model based on the elementary Maxwell model.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 6","pages":"256 - 260"},"PeriodicalIF":0.7,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147579333","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
Thermodynamic Matching of the Formulas for Calculating the Phase Equilibrium of Solutions 溶液相平衡计算公式的热力学匹配
IF 0.7
Moscow University Mechanics Bulletin Pub Date : 2026-04-01 DOI: 10.3103/S0027133025700360
E. V. Koldoba
{"title":"Thermodynamic Matching of the Formulas for Calculating the Phase Equilibrium of Solutions","authors":"E. V. Koldoba","doi":"10.3103/S0027133025700360","DOIUrl":"10.3103/S0027133025700360","url":null,"abstract":"<p>In traditional calculations of phase equilibrium of mixtures, iterative methods are applied. The equation of state is used to calculate chemical potentials, and formulas (for example, Wilson’s ones) are used to calculate the initial values of equilibrium constants. However, they must be consistent. The article proposes a method of such matching. It is shown that the mismatch coefficient is greater for heavier component. Temperature ranges are found in which the matching procedure is especially necessary. The approach allows constructing a thermodynamically consistent system and eliminating some nonphysical solutions and numerical instabilities. The proposed thermodynamic matching procedure adjusts the formula to the equation and thereby improves the quality of initial approximations.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 6","pages":"234 - 240"},"PeriodicalIF":0.7,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147579278","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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