{"title":"On the Capability of Linear Viscoelasticity Theory to Describe the Effect of Extending Region of Material Linearity as the Hydrostatic Pressure Grows","authors":"A. V. Khokhlov","doi":"10.3103/S0027133021010040","DOIUrl":"10.3103/S0027133021010040","url":null,"abstract":"<p>Applicability indicators of the linear viscoelasticity constitutive relation for isotropic time-dependent materials with arbitrary shear and bulk creep compliances are considered. General properties of the creep curve families for volumetric, longitudinal, and lateral strains generated by this linear relation under constant uniaxial tension and constant hydrostatic pressure are studied analytically. It is proved that the linear theory of viscoelasticity is able to describe the effect of (monotonic) expansion of a linear behavior range of material qualitatively as the hydrostatic pressure grows; more precisely, the effect of expansion of a range of axial stress values under which the axial compliance is independent of the stress level. The analysis reveals a number of specific features of the theoretical creep and compliance curves that can be conveniently employed as the applicability or non-applicability indicators of the linear viscoelasticity theory by the data of material creep tests under action of tensile load and hydrostatic pressure.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"76 1","pages":"7 - 14"},"PeriodicalIF":0.3,"publicationDate":"2021-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4253267","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}
V. V. Aleksandrov, D. I. Bugrov, V. N. Zhermolenko, I. S. Konovalenko
{"title":"Attainability Set and Robust Stability of Perturbed Oscillatory Systems","authors":"V. V. Aleksandrov, D. I. Bugrov, V. N. Zhermolenko, I. S. Konovalenko","doi":"10.3103/S0027133021010027","DOIUrl":"10.3103/S0027133021010027","url":null,"abstract":"<p>The second-order oscillatory system with constant coefficients in the presence of a time-varying bounded external perturbation is considered. Extreme points of the limit cycle, the boundary of the attainability set, are determined. The limit cycle is used to obtain the quality estimates of the system robust stability against the time-varying perturbation.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"76 1","pages":"30 - 34"},"PeriodicalIF":0.3,"publicationDate":"2021-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4254233","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}
{"title":"On the Effect of Aligning Moments on the Wheeled Vehicle Dynamics at (boldsymbol{mu})-Split","authors":"A. V. Vlakhova, A. P. Novoderova","doi":"10.3103/S0027133021010064","DOIUrl":"10.3103/S0027133021010064","url":null,"abstract":"<p>The motion of a biaxial four-wheeled vehicle is simulated on the <span>(mu)</span>-split surface, which is a section of the reference plane containing regions with different friction coefficients, in the case when the friction coefficient for one of the wheels of the driving axis turns out to be significantly less than the friction coefficient for the remaining wheels. The effects of the longitudinal and transverse deformations of the wheels and of the aligning moments on the dynamics of its body are studied under the assumption that the wheels of the vehicle do not lose grip with the reference plane.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"76 1","pages":"15 - 23"},"PeriodicalIF":0.3,"publicationDate":"2021-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4254232","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}
{"title":"A Subclass of Solutions for Equations of a Reduced Atmospheric Model","authors":"M. K. Turzynsky","doi":"10.3103/S0027133021010052","DOIUrl":"10.3103/S0027133021010052","url":null,"abstract":"<p>A special subclass of solutions of the three-dimensional system of ideal polytropic gas equations corresponding to an atmospheric model is considered. The properties of these solutions are completely characterized by a high-order nonlinear system of ordinary differential equations. Unlike the corresponding two-dimensional model, all singular points of this system have been found to be unstable. Some first integrals of this system have been found. In the case of axial symmetry, the system can be reduced to a single equation. If the adiabatic exponent is equal to 2, the system is integrable.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"76 1","pages":"24 - 29"},"PeriodicalIF":0.3,"publicationDate":"2021-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4257397","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}
L. D. Akulenko, D. V. Georgievskii, S. V. Nesterov
{"title":"The Advanced Convergence Method in the Problem on Torsional Oscillations of a Circular Disc Inhomogeneous in Thickness","authors":"L. D. Akulenko, D. V. Georgievskii, S. V. Nesterov","doi":"10.3103/S0027133020060023","DOIUrl":"https://doi.org/10.3103/S0027133020060023","url":null,"abstract":"","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"75 6","pages":"180 - 182"},"PeriodicalIF":0.3,"publicationDate":"2021-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4234295","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}
{"title":"A Displacement Discontinuity Method of High-Order Accuracy in Fracture Mechanics","authors":"A. V. Zvyagin, A. S. Udalov","doi":"10.3103/S0027133020060060","DOIUrl":"https://doi.org/10.3103/S0027133020060060","url":null,"abstract":"","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"75 6","pages":"153 - 159"},"PeriodicalIF":0.3,"publicationDate":"2021-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4565884","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}
{"title":"Lagrangian Representation of the Family of Gordon–Schowalter Objective Derivatives at Simple Shear","authors":"E. D. Martynova","doi":"10.3103/S0027133020060047","DOIUrl":"https://doi.org/10.3103/S0027133020060047","url":null,"abstract":"","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"75 6","pages":"176 - 179"},"PeriodicalIF":0.3,"publicationDate":"2021-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4233575","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}
{"title":"Bifurcation Analysis of a System of Three Connected Bodies in a Homogeneous Gravitational Field","authors":"A. V. Karapetyan, M. P. Chaplygina","doi":"10.3103/S0027133020060035","DOIUrl":"https://doi.org/10.3103/S0027133020060035","url":null,"abstract":"","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"75 6","pages":"160 - 169"},"PeriodicalIF":0.3,"publicationDate":"2021-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4235277","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}
{"title":"Numerical-Analytical Method for Solving Equations of the Physical Theory of Meteors at Variable Ablation Parameter","authors":"G. A. Tirskii, I. G. Brykina, S. V. Zhluktov","doi":"10.3103/S0027133020060059","DOIUrl":"https://doi.org/10.3103/S0027133020060059","url":null,"abstract":"","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"75 6","pages":"170 - 175"},"PeriodicalIF":0.3,"publicationDate":"2021-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4236946","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}
P. N. Konon, E. I. Mogilevskiy, G. N. Sitsko, V. Ya. Shkadov
{"title":"Equilibrium of Liquid Drop on Rotating Disc","authors":"P. N. Konon, E. I. Mogilevskiy, G. N. Sitsko, V. Ya. Shkadov","doi":"10.3103/S0027133020040044","DOIUrl":"https://doi.org/10.3103/S0027133020040044","url":null,"abstract":"","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"75 4","pages":"102 - 109"},"PeriodicalIF":0.3,"publicationDate":"2021-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4798742","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}