{"title":"Mathematical Modeling of Creep of Aluminum Alloy 1570P (Al-Mg-Sc System) Using Kinetic Physical-Mathematical Theory of Metal Creep","authors":"V. M. Greshnov, I. V. Puchkova","doi":"10.1134/S0025654424606840","DOIUrl":"10.1134/S0025654424606840","url":null,"abstract":"<p>In the work with the purpose of determining the prospects of using the kinetic physical and mathematical theory of creep of metals for performing design calculations when creating new technology products, the results obtained in describing the theory of uniaxial creep processes of 1570P alloy under conditions of steady-state and abrupt changes in thermomechanical loading parameters are presented. It is established that the new physical and mathematical theory of creep of metals being developed, which, unlike the classical phenomenological theory, takes into account the structure of the metal and its change in the creep process, equally well describes the process under steady-state and non-stationary conditions of thermomechanical loading. The important role of the structural state of the metal on the creep process is shown. The main structural parameter determining the characteristics of the process is the scalar density of immobile dislocations.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 4","pages":"2453 - 2464"},"PeriodicalIF":0.9,"publicationDate":"2025-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145242782","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On an Analytical Solution to the Creep Problem of a Viscoelastic Cylindrical Layer under Torsional Loading","authors":"A. S. Begun, L. V. Kovtanyuk","doi":"10.1134/S0025654425600667","DOIUrl":"10.1134/S0025654425600667","url":null,"abstract":"<p>Using a mathematical model of large deformations of materials with elastic, plastic and viscous properties, an analytical solution is obtained for the problem of deformation under creep conditions of a viscoelastic material placed in a gap between two rigid cylindrical surfaces, when the outer rigid cylinder rotates due to a twisting moment applied to it, while the inner cylinder is stationary. The displacements, reversible and irreversible deformations, stresses at all stages of deformation, including residual deformations and stresses under full unloading, are calculated.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 4","pages":"2465 - 2473"},"PeriodicalIF":0.9,"publicationDate":"2025-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145242783","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Review of Studies on Improving the Plastic Properties of Additive Materials Under Strong Pulsed Current","authors":"K. K. Kukudzhanov","doi":"10.1134/S0025654425600114","DOIUrl":"10.1134/S0025654425600114","url":null,"abstract":"<p>An overview of research methods for improving the physico-mechanical properties of conductive materials grown using additive manufacturing techniques is presented. The review is conducted in order to develop a method for improving the properties of additive steel AISI 316L made by selective laser melting (SLM). This steel is widely used in various industries due to its versatile properties. The main methods of thermal and thermomechanical processing are briefly analyzed. Methods of improving plastic properties by impacting the material to pulses of a strong electromagnetic field, which causes high-density currents in the material considered as well. Based on the review, it is suggested that it is advisable to study the effect of a high-energy electromagnetic field on improving the plastic properties of materials built with selective laser melting.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 4","pages":"2353 - 2369"},"PeriodicalIF":0.9,"publicationDate":"2025-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145242642","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Soliton-Like Dispersive Lamb Waves in an Anisotropic Layer","authors":"A. V. Ilyashenko","doi":"10.1134/S0025654425600187","DOIUrl":"10.1134/S0025654425600187","url":null,"abstract":"<p>For an anisotropic layer with arbitrary elastic anisotropy, dispersion relations for harmonic plane Lamb waves are constructed, and an analysis of solutions for a symmetric fundamental mode at an infinitely small frequency (soliton-like waves) is performed. Dispersion equations for Lamb waves, including the corresponding limiting values, are obtained in explicit form.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 4","pages":"2420 - 2427"},"PeriodicalIF":0.9,"publicationDate":"2025-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145242761","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Rectangular Plate on an Elastic Base with Arbitrary Boundary Conditions and Arbitrary Load","authors":"A. D. Chernyshov, V. V. Goryainov","doi":"10.1134/S0025654425600734","DOIUrl":"10.1134/S0025654425600734","url":null,"abstract":"<p>In this paper, the principle of obtaining conditions for matching input data is formulated. A set of matching conditions is obtained, failure to fulfill which leads to large unavoidable errors in the corners of the rectangle. The problem is solved in analytical form using the method of universal fast expansions. The obtained approximate analytical solution is compared with the test one, the error in determining the plate deflection, torque and bending moments, shear forces and stress tensor components is investigated. It is found that when using a sixth-order boundary function and only one term in the cosines and one term in the sines in the Fourier series in universal fast expansions, the accuracy of the obtained solution significantly exceeds the accuracy of specifying the input parameters of the problem determined by the concept of a continuous medium. In this case, the approximate analytical solution can formally be considered exact.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 4","pages":"2474 - 2490"},"PeriodicalIF":0.9,"publicationDate":"2025-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145242726","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On Regularities of Contact Interaction of Surfaces with Regular Microrelief (Plane Problem)","authors":"A. A. Bobylev","doi":"10.1134/S0025654424606451","DOIUrl":"10.1134/S0025654424606451","url":null,"abstract":"<p>We consider plane contact problems with a limited contact area for elastic bodies with a regular microrelief (RMR) applied to their surfaces. It is assumed that Flamant’s solution to the problem of the action of a concentrated normal force on the boundary of an elastic half-plane can be used to determine the stress-strain state of bodies. When modeling the contact interaction, a calculation scheme was used in which one of the bodies is considered as a rigid punch, and the second is considered as an elastic half-plane with a composite modulus of elasticity. The single-parameter families of punches with RMR are considered, the parameter of which is the number of microprotrusions. The regularities of contact interaction of punches with RMR and elastic half-plane were investigated by the method of computational experiment. Based on the established patterns, a method for approximate calculation of load distribution between RMR elements, as well as assessment of contact pressure, sizes of actual contact areas and average final gaps on microprotrusions is proposed.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 3","pages":"1578 - 1594"},"PeriodicalIF":0.9,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145028168","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Stability of the Plane Stressed State of the Graphene Sheet Based on the Moment-Membrane Theory of Elastic Plates","authors":"A. H. Sargsyan, S. H. Sargsyan","doi":"10.1134/S0025654424604853","DOIUrl":"10.1134/S0025654424604853","url":null,"abstract":"<p>Two-dimensional nanomaterials (graphene, carbon nanotube) are high-strength and ultra-light materials that have several promising areas of application. From theoretical and applied perspectives, it is relevant to study various problems of their statics, stability, vibrations, and calculations of the required mechanical characteristics based on the corresponding continuum theory of the deformation behavior of two-dimensional nanomaterials.</p><p>In this work, based on the moment-membrane theory of elastic plates, which is interpreted as the continuum theory of the deformation behavior of graphene, stability problems of a freely supported graphene sheet (rectangular plate) are studied. The sheet is uniformly compressed in one direction, compressed in two directions, and subjected to shear stresses in its plane. The stability problem of uniformly compressed graphene sheets, freely supported on two opposite sides and having different boundary conditions on the other two sides, is also considered.</p><p>When solving stability problems of the graphene sheet (rectangular plate), the Euler method is applied, considering a form of equilibrium that is slightly deviated from the initial (moment-free) position (buckled plate). Differential equilibrium equations and boundary conditions are formulated for this shape. The critical load value is determined from the solution of these boundary problems, i.e., the load value at which the initial flat form of the plate becomes unstable. All solutions are accompanied by numerical results: tables or diagrams providing the critical load values for each particular case.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 3","pages":"1605 - 1624"},"PeriodicalIF":0.9,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145028294","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Spatial Resonant Rotations of a Three-Axis Satellite with a Ball Damper in a Circular Orbit","authors":"N. I. Amel’kin","doi":"10.1134/S0025654424607201","DOIUrl":"10.1134/S0025654424607201","url":null,"abstract":"<p>For a three-axis satellite with a ball damper, resonant rotations in the central gravitational field are studied. The equations of the rotational motion of a satellite in an elliptical orbit are obtained. For the case of a circular orbit, spatial resonance rotations of 1 : 1 and 2 : 1 were investigated using the averaging method.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 3","pages":"1485 - 1499"},"PeriodicalIF":0.9,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145028154","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Barycentric Coordinates in the Equilibrium Problem of a Heavy Rough Triangle Suspended on a Pin","authors":"E. A. Nikonova","doi":"10.1134/S0025654424607018","DOIUrl":"10.1134/S0025654424607018","url":null,"abstract":"<p>A planar equilibrium problem of a heavy homogeneous thin wire triangle suspended on a thin horizontal nail is considered. The existence of equilibrium positions and their dependence on the coefficient of friction and the lengths of the sides of the triangle are studied under the assumption of the presence of a dry friction force acting between the triangle and the nail. The problem is solved in barycentric coordinates associated with the vertex system of the triangle in question. The equilibrium condition is written in a form that allows a cyclic shift of the indices of the quantities included in it to obtain an equilibrium condition for any of the sides of the triangle with which it contacts the nail.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 3","pages":"1571 - 1577"},"PeriodicalIF":0.9,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145028167","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Nonlinear Dynamics of Cylindrical Resonator of Wave Solid-State Gyroscope with Electromagnetic Control Sensors","authors":"D. A. Maslov","doi":"10.1134/S0025654424606335","DOIUrl":"10.1134/S0025654424606335","url":null,"abstract":"<p>The article considers the nonlinear dynamics of a cylindrical resonator of a wave solid-state gyroscope with electromagnetic control sensors. A mathematical model that describes nonlinear resonator oscillations and electrical processes of the oscillation control circuit in an interconnected form is deduced. The resulting mathematical model represents a nonlinear system of differential equations, which contains singularly perturbed equations, and the equations of electrical processes are singularly perturbed. The nonlinearity caused by the finite ratio of the small deflection to the small gap of the control sensor is taken into account. The methods of constructing approximate solutions are proposed. The fundamental difference between the nonlinear terms of the equations of resonator dynamics using eight and sixteen control sensors is shown. It is shown that by using electromagnetic control sensors it is necessary to take into account a small parameter singularly included in the differential equations of electrical processes. According to the estimation of the angular drift velocity, it is concluded that the gyroscope circuit with eight electromagnetic control sensors is inapplicable due to the obtained value of the uncompensated angular drift velocity. In the case of a gyroscope with sixteen control sensors, a formula for the angular drift velocity which can be compensated is derived and a method for calculating the displacement of the resonant peak of the amplitude-frequency response is proposed.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 3","pages":"1533 - 1554"},"PeriodicalIF":0.9,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145028218","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}