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Moscow University Mechanics Bulletin最新文献

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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
Nonstationary Problems for Inhomogeneous Viscoelastic Bodies 非均匀粘弹性体的非平稳问题
IF 0.7
Moscow University Mechanics Bulletin Pub Date : 2026-04-01 DOI: 10.3103/S0027133025700372
S. G. Pshenichnov, E. A. Korovaytseva, A. M. Razorenova
{"title":"Nonstationary Problems for Inhomogeneous Viscoelastic Bodies","authors":"S. G. Pshenichnov,&nbsp;E. A. Korovaytseva,&nbsp;A. M. Razorenova","doi":"10.3103/S0027133025700372","DOIUrl":"10.3103/S0027133025700372","url":null,"abstract":"<p>The paper is devoted to the development of one of the methods for constructing solutions to problems of nonstationary waves in inhomogeneous viscoelastic bodies. A piecewise homogeneous structure with continuity conditions at the contact of components is accepted as the main type of inhomogeneity. The continuous heterogeneity of viscoelastic functionally graded materials is approximated by a layered homogeneous medium. The hereditary properties of the components are characterized by linear Boltzmann–Volterra relations with kernels of various types. The integral Laplace transform in time and the operation of its reversal are used. New forms of solutions for unsteady viscoelasticity problems for piecewise homogeneous bodies, convenient for numerical implementation, are obtained. The proposed approach is demonstrated on a dynamic problem for an elastic hollow sphere with a coating made of viscoelastic functionally graded material.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 6","pages":"241 - 250"},"PeriodicalIF":0.7,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147579277","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
Solution to the Quasi-Static Axisymmetric Problem for a Single-Layer Quasi-Force-Free Magnet 单层准无力磁体的准静态轴对称问题的求解
IF 0.7
Moscow University Mechanics Bulletin Pub Date : 2026-02-01 DOI: 10.3103/S002713302570030X
M. I. Lobachev, A. D. Novokshenov
{"title":"Solution to the Quasi-Static Axisymmetric Problem for a Single-Layer Quasi-Force-Free Magnet","authors":"M. I. Lobachev,&nbsp;A. D. Novokshenov","doi":"10.3103/S002713302570030X","DOIUrl":"10.3103/S002713302570030X","url":null,"abstract":"<p>A basic model of a cylindrical quasi-force-free solenoid for the generation of strong and superstrong magnetic fields is considered in this paper for the resulting stress-strain state under the influence of current and magnetic induction. For a single-layer model, the parameterization problem satisfying the local Maxwell equations for the magnetic quantities in poloidal and toroidal directions has been solved. Analytical minimization problem of the integral radial component of the Lorentz mechanical force through conductor thickness is performed by taking into account the introduced parameterization of the system. In the formulation of the linear elasticity theory, the quasi-static axisymmetric problem of mechanics of a deformable solid under the action of a volumetric radial force is considered analytically. Taking into account the introduced parameterization, the optimal induction ratio in the conductor from the point of view of minimizing the maximum value of the von Mises stress normalized to magnetic pressure mechanical stress is found.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 5","pages":"187 - 194"},"PeriodicalIF":0.7,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146096252","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 Application of the Optimal Swinging Method for a Six-Legged Robot’s Getting Out from the Upside-Down Position 最优摆动方法在六足机器人倒立脱出中的应用
IF 0.7
Moscow University Mechanics Bulletin Pub Date : 2026-02-01 DOI: 10.3103/S0027133025700311
Yu. F. Golubev, V. V. Koryanov, E. V. Melkumova
{"title":"The Application of the Optimal Swinging Method for a Six-Legged Robot’s Getting Out from the Upside-Down Position","authors":"Yu. F. Golubev,&nbsp;V. V. Koryanov,&nbsp;E. V. Melkumova","doi":"10.3103/S0027133025700311","DOIUrl":"10.3103/S0027133025700311","url":null,"abstract":"<p>To solve the problem of rescuing a multilegged robot from an emergency upside-down position, an original method is used to find optimal control of the oscillation amplitude in the vicinity of the equilibrium position for a scleronomic mechanical system with an underactuated one oscillatory degree of freedom. The control is implemented by changing the position of a specially selected group of legs relative to the robot’s body. The effectiveness of the developed control algorithm is confirmed by the results of computer simulation of the full dynamics of the robot.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 5","pages":"195 - 202"},"PeriodicalIF":0.7,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146096251","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
Comparative Analysis of Modified Hodgkin–Huxley Models for Neuron Activity 神经元活动的改进Hodgkin-Huxley模型的比较分析
IF 0.7
Moscow University Mechanics Bulletin Pub Date : 2026-02-01 DOI: 10.3103/S0027133025700347
D. I. Bugrov, Cao Ning
{"title":"Comparative Analysis of Modified Hodgkin–Huxley Models for Neuron Activity","authors":"D. I. Bugrov,&nbsp;Cao Ning","doi":"10.3103/S0027133025700347","DOIUrl":"10.3103/S0027133025700347","url":null,"abstract":"<p>A model of the afferent primary neuron in the form of the Hodgkin–Huxley equations modified by Aleksandrov–Soto to third-order model and two simplified second-order models is under consideration. Stationary solutions of these models, periodic solutions, stationary solutions attraction regions, and bistability intervals are compared. It is concluded that the simplified model with a functional representation of the inactivation parameter better approximates the full third-order model.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 5","pages":"217 - 221"},"PeriodicalIF":0.7,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146096250","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 Compensation of Plate Deflection Using a System of Concentrated Forces 用集中力系统补偿板挠度
IF 0.7
Moscow University Mechanics Bulletin Pub Date : 2026-02-01 DOI: 10.3103/S0027133025700335
O. A. Kilikovskaya, N. V. Ovchinnikova, V. N. Dyadechko
{"title":"On the Compensation of Plate Deflection Using a System of Concentrated Forces","authors":"O. A. Kilikovskaya,&nbsp;N. V. Ovchinnikova,&nbsp;V. N. Dyadechko","doi":"10.3103/S0027133025700335","DOIUrl":"10.3103/S0027133025700335","url":null,"abstract":"<p>We consider the inverse problem of bending an elastic circular plate when it is necessary to determine the values of the forces acting at some points and causing a given approximately values of deflection at that points.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 5","pages":"211 - 216"},"PeriodicalIF":0.7,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146096249","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 Angle of Convergence in the Constitutive Relations of the Theory of Elastoplastic Processes for Plane Deformation Trajectories 平面变形轨迹弹塑性过程理论本构关系中的收敛角
IF 0.7
Moscow University Mechanics Bulletin Pub Date : 2026-02-01 DOI: 10.3103/S0027133025700323
S. L. Subbotin, A. A. Alekseev, V. I. Gultyaev
{"title":"On the Angle of Convergence in the Constitutive Relations of the Theory of Elastoplastic Processes for Plane Deformation Trajectories","authors":"S. L. Subbotin,&nbsp;A. A. Alekseev,&nbsp;V. I. Gultyaev","doi":"10.3103/S0027133025700323","DOIUrl":"10.3103/S0027133025700323","url":null,"abstract":"<p>For the case of a simplified plane stress state and plane deformation trajectories, the constitutive relations between stresses and strains beyond the elastic limit in derivatives with respect to the parameter of tracing the loading process are obtained. The necessity of taking into account the sign of the approach angle between the tangent to the strain trajectory and the stress vector in the constitutive relations is shown.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"80 5","pages":"203 - 210"},"PeriodicalIF":0.7,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146096248","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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