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Moscow University Mechanics Bulletin最新文献

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Unsteady Wave Processes in a Cylinder Made of Viscoelastic Functionally Graded Material 粘弹性功能分级材料圆柱体中的非稳态波过程
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2024-08-01 DOI: 10.3103/S0027133024700055
S. G. Pshenichnov
{"title":"Unsteady Wave Processes in a Cylinder Made of Viscoelastic Functionally Graded Material","authors":"S. G. Pshenichnov","doi":"10.3103/S0027133024700055","DOIUrl":"10.3103/S0027133024700055","url":null,"abstract":"<p>The paper considers the problem of unsteady wave propagation in the cross section of an infinite hollow cylinder made of a viscoelastic functionally graded material with nonmonotonically varying properties along the radius. The cylinder is replaced by a piecewise-homogeneous one with a large number of coaxial homogeneous layers approximating the properties of the source material. Based on the previously constructed solution for a layered cylinder, wave processes in a cylinder made of a viscoelastic functionally graded material with different types of nonmonotonic inhomogeneities are studied.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"79 2","pages":"29 - 37"},"PeriodicalIF":0.3,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141882548","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 Unilateral Discrete Contact Problem for a Functionally Graded Elastic Strip 功能分级弹性带的单侧离散接触问题
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2024-08-01 DOI: 10.3103/S0027133024700080
A. A. Bobylev
{"title":"The Unilateral Discrete Contact Problem for a Functionally Graded Elastic Strip","authors":"A. A. Bobylev","doi":"10.3103/S0027133024700080","DOIUrl":"10.3103/S0027133024700080","url":null,"abstract":"<p>The problem is considered for the indentation of a functionally graded strip by a rigid punch of finite dimension with a surface microrelief. Boundary variational formulations of the problem are given using the Poincaré–Steklov operator that maps contact stresses to displacements. To approximate this operator, the discrete Fourier transform is applied. A variational formulation of a boundary value problem for transforms of displacements is used to calculate a transfer function. Some regularities of contact interaction are established.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"79 2","pages":"56 - 68"},"PeriodicalIF":0.3,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141882551","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
Moment-Membrane Theory of Elastic Shells of Large Deflection as a Continuum Model of Deformation Behavior of Two-Dimensional Nanomaterials 作为二维纳米材料变形行为连续模型的大挠度弹性壳的动量-膜理论
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2024-08-01 DOI: 10.3103/S0027133024700079
S. H. Sargsyan
{"title":"Moment-Membrane Theory of Elastic Shells of Large Deflection as a Continuum Model of Deformation Behavior of Two-Dimensional Nanomaterials","authors":"S. H. Sargsyan","doi":"10.3103/S0027133024700079","DOIUrl":"10.3103/S0027133024700079","url":null,"abstract":"<p>This paper uses the assumption on the smallness of deformations, flexural-torsional characteristics and angles of rotation of the shell elements, as well as the assumption on shell’s shallowness. Based on this assumption, a geometrically nonlinear moment-membrane theory of elastic shells is constructed with the help of the three-dimensional geometrically nonlinear moment theory of elasticity and by preserving only those nonlinear terms that come from normal displacement (deflection) and its derivatives. The constructed theory is interpreted as a continuum theory of the deformation behavior of flexible two-dimensional nanomaterials, in particular, of carbon nanotubes and graphene.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"79 2","pages":"43 - 55"},"PeriodicalIF":0.3,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141882550","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
Studying the Effect of Hysteresis of Relative Phase Permeability on Optimal Strategies of Water-Gas Impact on Oil Reservoirs 研究相对相渗透率滞后对油藏水气影响优化策略的影响
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2024-08-01 DOI: 10.3103/S0027133024700043
I. M. Sypchenko, A. A. Afanasyev
{"title":"Studying the Effect of Hysteresis of Relative Phase Permeability on Optimal Strategies of Water-Gas Impact on Oil Reservoirs","authors":"I. M. Sypchenko,&nbsp;A. A. Afanasyev","doi":"10.3103/S0027133024700043","DOIUrl":"10.3103/S0027133024700043","url":null,"abstract":"<p>We investigate three-phase flows in porous media caused by carbon dioxide and water injection into an oil reservoir. We construct a numerical model of the flow complicated by the phase transitions between oil and gas and the hysteresis changes in the gas relative permeability. The model is coupled with the economic estimates of the profitability of oil recovery. Using a numerical model, we estimate the effect of the hysteresis on the most profitable strategies of the alternating injection of water and carbon dioxide. We show that the hysteresis behavior requires the injection of larger volumes of gas to maximize the profit.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"79 2","pages":"21 - 28"},"PeriodicalIF":0.3,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141882547","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
Study of Modified Hodgkin–Huxley Model in the Presence of Stimulation and Random Noise 存在刺激和随机噪声时的改良霍奇金-赫胥黎模型研究
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2024-08-01 DOI: 10.3103/S0027133024700067
V. V. Aleksandrov, I. A. Kozik, Yu. S. Semenov
{"title":"Study of Modified Hodgkin–Huxley Model in the Presence of Stimulation and Random Noise","authors":"V. V. Aleksandrov,&nbsp;I. A. Kozik,&nbsp;Yu. S. Semenov","doi":"10.3103/S0027133024700067","DOIUrl":"10.3103/S0027133024700067","url":null,"abstract":"<p>In the paper we continue the research on the modified Hodgkin–Huxley model in the presence of random noise. It is shown that, adding a certain short-time stimulation current, a random noise of low amplitude does not prevent the system transition from the motion within a neighborhood of the small stable limit cycle (the mode ‘‘None’’ in accordance with the principal neurophysiological ‘‘All or none’’-law) to the motion along the big stable limit cycle called ‘‘duck nose’’ (the mode ‘‘All’’ respectively). At the same time, the high amplitude random noise can yield a series of transitions from one regime to the other and vice versa, even for a short-time stimulation. In the absence of stimulation and in the presence of high amplitude noise, such series of transitions were observed earlier during computer simulation.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"79 2","pages":"38 - 42"},"PeriodicalIF":0.3,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141882549","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
Measure of Unloading Disproportion in the Theory of Small Elastoplastic Deformations 小弹塑性变形理论中的卸载比例测量法
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2024-08-01 DOI: 10.3103/S0027133024700092
D. V. Georgievskii, N. A. Rautian
{"title":"Measure of Unloading Disproportion in the Theory of Small Elastoplastic Deformations","authors":"D. V. Georgievskii,&nbsp;N. A. Rautian","doi":"10.3103/S0027133024700092","DOIUrl":"10.3103/S0027133024700092","url":null,"abstract":"<p>From the standpoint of the theory of small elastoplastic\u0000deformations, the stress-strain state of the continuous medium\u0000along various unloading trajectories from the state achieved as a\u0000result of a simple active process is analyzed. It is shown that if\u0000the unloading is disproportionate, then the constitutive relations\u0000connecting the deviators of stresses and strains are tensorially\u0000nonlinear, i.e., the unit tensors of these deviators do not\u0000coincide. It is demonstrated that in the Il’yushin\u0000five-dimensional deviatoric space there exists only one full\u0000unloading point, and it belongs to the line segment of the\u0000preceding active loading. A measure of the nonproportionality of\u0000the unloading is introduced, characterizing the degree of\u0000deviation of the path of the passive deformation process from the\u0000previously mentioned line segment. This measure is calculated for\u0000two piece-linear unloadings using the example of a constant\u0000annular tube subject to the simultaneous action of <span>((rtheta))</span>-torsion and axial <span>((rz))</span>-shear.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"79 2","pages":"69 - 73"},"PeriodicalIF":0.3,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141882553","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
Application of the Reduced and Selected Integration Method in Problems of Micropolar Elasticity Theory 还原和选择积分法在微弹性理论问题中的应用
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2024-05-13 DOI: 10.3103/S002713302470002X
A. V. Romanov
{"title":"Application of the Reduced and Selected Integration Method in Problems of Micropolar Elasticity Theory","authors":"A. V. Romanov","doi":"10.3103/S002713302470002X","DOIUrl":"10.3103/S002713302470002X","url":null,"abstract":"<p>In this paper, a variational principle of Lagrange, the Ritz method, and piecewise polynomial shape functions of brick family ‘‘linear’’ element are used to obtain reduced and selective integration techniques in a form of the tensor-block stiffness matrices to prevent the locking effect for nearly incompressible, isotropic, and centrally symmetric material of the micropolar theory of elasticity.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"79 1","pages":"1 - 5"},"PeriodicalIF":0.3,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140929900","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
Controlled Transition in a Modified Model of Biomass Dynamics of Root Hemiparasitic Plants 根系半寄生植物生物量动态修正模型中的受控转变
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2024-05-13 DOI: 10.3103/S0027133024700018
L. Cruzado Lima, V. V. Aleksandrov, C. Netzahualcoyotl Bautista, O. V. Aleksandrova
{"title":"Controlled Transition in a Modified Model of Biomass Dynamics of Root Hemiparasitic Plants","authors":"L. Cruzado Lima,&nbsp;V. V. Aleksandrov,&nbsp;C. Netzahualcoyotl Bautista,&nbsp;O. V. Aleksandrova","doi":"10.3103/S0027133024700018","DOIUrl":"10.3103/S0027133024700018","url":null,"abstract":"<p>This paper shows the possibility of solving the problem of the transition between periodic and point attractors in the bistable Rosenzweig–MacArthur model with modifications for the dynamics of root hemiparasitic plants and their hosts.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"79 1","pages":"6 - 11"},"PeriodicalIF":0.3,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140929960","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
Linear Mathematical Model of Relation between Extraocular Muscles and Vestibular System 眼外肌与前庭系统关系的线性数学模型
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2024-05-13 DOI: 10.3103/S0027133024700031
Ya. Yu. Minyailo, A. P. Kruchinina
{"title":"Linear Mathematical Model of Relation between Extraocular Muscles and Vestibular System","authors":"Ya. Yu. Minyailo,&nbsp;A. P. Kruchinina","doi":"10.3103/S0027133024700031","DOIUrl":"10.3103/S0027133024700031","url":null,"abstract":"<p>The article presents a three-dimensional linear model of the vestibulo-ocular reflex in darkness. The model is based on established relationships between the vestibular system and the extraocular muscles. The effectiveness of the model is evaluated through comparison with experimental observations. The model successfully reproduces realistic patterns of slow-phase vestibulo-ocular nystagmus during head rotations.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"79 1","pages":"12 - 20"},"PeriodicalIF":0.3,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140930171","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
Oscillations of a Semi-Infinite Underground Pipeline under Action of a Seismic Wave 地震波作用下半无限地下管道的振荡
IF 0.3
Moscow University Mechanics Bulletin Pub Date : 2024-03-23 DOI: 10.3103/S0027133023060043
S. E. Nosov
{"title":"Oscillations of a Semi-Infinite Underground Pipeline under Action of a Seismic Wave","authors":"S. E. Nosov","doi":"10.3103/S0027133023060043","DOIUrl":"10.3103/S0027133023060043","url":null,"abstract":"<p>An exact analytic solution to the problem of joint nonstationary oscillations of a semi-infinite underground pipeline and elastic soil caused by the propagation of a longitudinal seismic wave along its axis is obtained in the case when the pipeline end is clamped. The emerging stress-strain state for subsonic and supersonic modes of seismic wave propagation is studied. The results of this study can be used to calculate the deformation of oil and gas pipelines under seismic loads.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 6","pages":"149 - 155"},"PeriodicalIF":0.3,"publicationDate":"2024-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140203535","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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