Mechanics of Solids最新文献

{"title":"A Half-Strip with a Clamped End. A Solution in Series in Papkovich–Fadle Functions","authors":"M. D. Kovalenko,&nbsp;A. P. Kerzhaev,&nbsp;I. V. Menshova,&nbsp;D. A. Vlasov","doi":"10.1134/S002565442460630X","DOIUrl":"10.1134/S002565442460630X","url":null,"abstract":"<p>An exact solution to the well-known boundary value problem of the theory of elasticity on the tension of a free half-strip with a rigidly clamped end is obtained. It is represented by series in Papkovich–Fadle eigenfunctions, the coefficients of which are determined in an explicit form. A comparison of the exact solution and numerical one obtained on the basis of the finite element method is given. Asymptotic formulas for the stresses at the corner points of the half-strip are derived.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 7","pages":"3769 - 3780"},"PeriodicalIF":0.6,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143645555","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":"Numerical Analysis of Fatigue Life of Structural Elements under Thermopulsations","authors":"L. A. Igumnov,&nbsp;V. E. Kostyukov,&nbsp;M. Kh. Prilutsky","doi":"10.1134/S0025654424606463","DOIUrl":"10.1134/S0025654424606463","url":null,"abstract":"<p>The problem of parrying parametric non-stationary thermomechanical effects of critical engineering infrastructure objects arising in the operating modes of these objects is considered. The problem of obtaining strength and resource estimates is solved. A mathematical model of the mechanics of damaged environment (MDE) is developed for studying the processes of thermoviscoplastic deformation and damage accumulation. The model takes into account material degradation by coupled joint mechanisms of low-cycle fatigue and long-term strength. The model is formed by relations for cyclic thermoviscoplastic behavior of the material up to the process of destruction; equations of damage accumulation kinetics; strength criterion of damaged material. Thermoviscoplastic is based on the concepts of yield surfaces, creep, and the principle of gradient vectors of plastic deformation and creep strain rates to the corresponding surface at the loading point. The model describes the main effects of the process of cyclic thermoviscoplastic deformation of the material for arbitrary complex loading trajectories. A scalar damage parameter is used in the kinetic equations of damage accumulation. The model is based on energy principles and takes into account the main effects of formation, growth and merging of microdefects under arbitrary complex loading conditions. The condition of reaching a critical value by damage is taken as the strength criterion. The presented calculations of thermoviscoplastic deformation and damage accumulation are compared with the data of full-scale experiments. In the example, an analysis of thermal fatigue of a structural element is carried out. A welded joint under thermomechanical loading is investigated for a pressure vessel with stress concentrators. The performance of the presented model for assessing the fatigue life of structures under multiaxial disproportionate paths of combined thermomechanical loading is shown.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 7","pages":"3712 - 3726"},"PeriodicalIF":0.6,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143645554","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":"Basic Tests and Identification of a Model of Viscoelastic Behavior of Elastomers under Finite Deformations","authors":"A. A. Adamov,&nbsp;I. E. Keller,&nbsp;Ya. N. Ivanov,&nbsp;N. V. Utev","doi":"10.1134/S0025654424606499","DOIUrl":"10.1134/S0025654424606499","url":null,"abstract":"<p>A program of basic tests and a method for identifying a model of viscoelastic behavior of a weakly compressible hyperelastic material experiencing finite deformations at room temperature are proposed. Three models using the linear hereditary operator of the generalized Maxwell body in combination with a two-constant approximation of the shear part of the elastic potential are considered, in which the decomposition of motion into elastic and viscoelastic parts is implemented in various ways. Viscoelastic constants are found according to the data of tests for free compression of cylindrical samples according to the deformation program with stages of loading at a constant speed and relaxation carried out on a rigid electromechanical testing machine. The volumetric compression module is being tested for constrained compression according to a cyclic program with stages of loading at a constant speed, unloading and holding. An algorithm for determining constants based on test data is proposed, which reduces the problem to solving a system of linear algebraic equations. The proposed method is applied to the determination of constants of the considered models for highly filled oil-resistant rubber. Cyclic tests were carried out for free compression of cylindrical samples with increasing strain levels of 10, 20, and 30% with two velocity values and exposures at fixed deformation and in the unloaded state for 900 s, as well as for constrained compression of the same samples to a stress of 127 MPa with exposures for 60 s. The models identified for a part of one cycle satisfactorily predict the change in stress during the execution of a further program, as well as when the deformation rate changes. To cover a larger range of deformations, the proposed program is implemented for ring tension testing. A not very good description of the inverse relaxation has been established, however, the use of combined test data for model identification does not help to correct this defect, which requires correcting the fundamental defects of the considered generalizations of nonlinear elastic models using a linear viscoelastic operator.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 7","pages":"3831 - 3843"},"PeriodicalIF":0.6,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143645517","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":"Molecular Dynamics Modeling of Uniaxial Compression and Stretching of Silicon Carbide Polytypes: Strength and Structural Parameters Investigation","authors":"E. Kh. Khamzin,&nbsp;S. A. Nefedov,&nbsp;L. V. Kurganskaya,&nbsp;A. V. Shcherbak","doi":"10.1134/S0025654424602970","DOIUrl":"10.1134/S0025654424602970","url":null,"abstract":"<p>This paper provides a brief review of silicon carbide’s prospective use in one of the most important areas of semiconductor electronics and materials science. The nature of silicon carbide polymorphic features – crystal lattice topology and atomic layer stacking are touched upon. A wide application of mechanical and structural properties of the most frequently quoted polytypes is considered in current research. The mathematical apparatus in the form of basic potentials describing the atomic-molecular bonding of crystals is given. The crystal lattice dynamics of 3C, 2H, 4H, 6H, 15R, 6O polytypes were calculated. The considered defect-free single crystal polytypes at the temperature range from –100°C to 1200°C under constant uniaxial compression and tensile strain in different crystallographic orientations were investigated by the method of classical molecular dynamics. The data of comparative curves: stress-compression/stretching, temperature law of Young’s modulus, and X-ray diffraction before and at the moment of crystal fracture, as well as piezoelectric constants were obtained. The analytical work carried out on the basis of the obtained data predisposes to the identification of the most promising silicon carbide phases for the semiconductor industry. This also explains the difference in the mechanical properties between polytypes. The theoretical study is in prospective both for experimenters, engineers and technologists, as well as come in handy for theorists developing computerized methods for the study of semiconductor materials.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 7","pages":"3844 - 3858"},"PeriodicalIF":0.6,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143645527","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":"Modeling the Magnetic Field and Initial Stress on Fractional Order Strain Thermo-Viscoelastic Material via Moore-Gibson-Thompson Theory","authors":"Mohamed I. A. Othman,&nbsp;A. A. El-Bary,&nbsp;Haitham M. Atef","doi":"10.1134/S0025654424603732","DOIUrl":"10.1134/S0025654424603732","url":null,"abstract":"<p>The objective of the present work is to examine the impact of initially stress and magnetic field on a two-dimensional problem involving generalized, fractional order strain thermo-visco-elastic material, based on the Moore-Gibson-Thompson (MGT) theory. The normal mode analysis is used to obtain the analytical expressions of physical quantities in the physical domain. Subsequently, these expressions are computed using numerical methods and visually shown using graphs. Finally, the results of the study are examined in both the absence and presence of the viscosity, magnetic field, initial stress and fractional parameter.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 6","pages":"3449 - 3463"},"PeriodicalIF":0.6,"publicationDate":"2025-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143580995","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 Thermo-Mechanical Analytical Model for Geothermal Wells in the Formation with Anisotropic In-Situ Stress","authors":"Bo Zhou,&nbsp;Weizhe Qiu,&nbsp;Jiahao Li,&nbsp;Xiaotian Li,&nbsp;Xiuxing Zhu,&nbsp;Peng Jia","doi":"10.1134/S0025654424605792","DOIUrl":"10.1134/S0025654424605792","url":null,"abstract":"<p>This work focuses on the theoretical investigation of the thermo-mechanical behaviors of a geothermal well in the formation with anisotropic in-situ stress. First of all, the complex problem of a geothermal well is divided into three simple subproblems: the uniform load subproblem, the cosine load subproblem and the temperature load subproblem. The uniform load subproblem and the temperature load subproblem are analytically solved using the displacement method in elasticity theory, while the cosine load subproblem is analytically solved using the stress function method in elasticity theory. The analytical results of subproblems are compared with the numerical results from finite element method to verify the obtained analytical solutions of subproblems. Then, a thermo-mechanical analytical model of a geothermal well, which includes the analytical formulations of displacement field and stress field, is proposed by superposing the analytical solutions of the above three subproblems. At last, the proposed analytical model is used to investigate thermo-mechanical behaviors of a geothermal well in the formation with anisotropic in-situ stress. Some important influence factors on the stress field of cement sheath of the geothermal well are analyzed and discussed comprehensively. Some valuable results are obtained, which also show that the proposed analytical model can effectively predict the thermo-mechanical behaviors of a geothermal well in the formation with anisotropic in-situ stress. This work is useful for the research on mechanical integrity design of a geothermal well and other related research in oil-gas well engineering.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 6","pages":"3614 - 3638"},"PeriodicalIF":0.6,"publicationDate":"2025-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143581035","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":"Wavenumbers of Doublet and Triplet Plane Thermoelastic Wave in Ultraisotropic Micropolar Medium","authors":"E. V. Murashkin,&nbsp;Yu. N. Radayev","doi":"10.1134/S0025654424700365","DOIUrl":"10.1134/S0025654424700365","url":null,"abstract":"<p>In this paper we consider problems related to propagation of coupled plane time-harmonic waves of temperature increment, translational and spinor displacements in an ultraisotropic micropolar thermoelastic solid and calculate their wavenumbers. The ultraisotropic model is derived from an isotropic solid as it’s simplification. The proposed model is characterized by constitutive tensors treated as those with constant components. A closed coupled system of second-order partial differential equations with respect to the temperature increment and displacement vectors is obtained. Characteristic equations for wavenumbers of plane harmonic coupled thermoelastic longitudinal (bicubic equation) and transverse (biquadratic equation) waves are found and analyzed. The longitudinal wave (as a triplet wave comprising translational displacements wave, spinor displacements wave, temperature wave) and cold transverse wave (as a doublet wave of translational and spinor displacements) propagating in an ultraisotropic micropolar thermoelastic solid are investigated. Algebraic expressions for the characteristic equations roots are found and normal wavenumbers are discriminated.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 6","pages":"3681 - 3690"},"PeriodicalIF":0.6,"publicationDate":"2025-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143581036","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":"Memory Response in an Elasto-Thermodiffusive Nonlocal Half-Space under Mechanical Damage","authors":"Abhik Sur,&nbsp;Sudip Mondal","doi":"10.1134/S0025654424605330","DOIUrl":"10.1134/S0025654424605330","url":null,"abstract":"<p>The current work explores the thermoelastic diffusion for a homogeneous half-space with a permeating material that is in contact with the boundary plane. In the framework of nonlocal elasticity theory, the constitutive relations for the current problem have been formulated upon considering the mechanical damage. By absorbing the memory-dependent derivative, the present medium’s heat transport equation has been created while accounting for the Moore–Gibson–Thompson generalized heat equation within a slipping period. The half-space’s bounding plane is thermally shocked as directed and is traction-free. The chemical potential on the bounding plane is also assumed to be time-dependent. Laplace transform has been used to solve the governing equations while the inversion of the Laplace transform has been carried out using the method of Zakian. The numerical computation have been performed for various values of damage parameter to reveal significant effect of various parameters such as nonlocal parameter and time-delay parameter and the effect of various kernel function have been studied. It has been shown that the nonlocal parameter exhibits significant effects apart from the macroscopic theory. Also, notable effects of various kernel of the heat transport mechanism is outlined.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 6","pages":"3539 - 3558"},"PeriodicalIF":0.6,"publicationDate":"2025-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143581236","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 Some Approaches to the Study of Coefficient Inverse Problems of Mechanics with Variable Characteristics","authors":"A. O. Vatulyan","doi":"10.1134/S0025654424605767","DOIUrl":"10.1134/S0025654424605767","url":null,"abstract":"<p>This paper covers some general aspects of studying coefficient inverse problems (CIP) for various models of mechanics, with the main attention paid to the class when the unknowns are functions of one variable included in the description of the differential operator (ordinary or in partial derivatives) characterizing the heterogeneity (functionally gradient materials, composites, biological tissues). Various types of statements of such IPs are discussed, a generalized reciprocity relation for various linear models of mechanics is formulated, weak and variational statements are given, some issues of constructing solutions are studied, iterative and effective computational schemes for solving direct and inverse problems are proposed; solutions to a number of CIPs in various statements are constructed, and the results of computational experiments are presented.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 6","pages":"3417 - 3448"},"PeriodicalIF":0.6,"publicationDate":"2025-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143580994","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":"Determination of the Spectrum of Frequencies and Vibrations of a Rectangular Plate, Mobily Employed Around the Edge, in Different Media","authors":"K. B. Sabitov,&nbsp;A. G. Khakimov","doi":"10.1134/S002565442460435X","DOIUrl":"10.1134/S002565442460435X","url":null,"abstract":"<p>The spectrum of frequencies and shapes of bending vibrations of a rectangular plate in contact with a liquid or gas are determined. A derivation of the expression for the distributed transverse load on a plate movably embedded along the contour is given. The surfaces of the plate are in contact with media of different densities and pressures. The medium can be compressible during surface deformation and incompressible. The influence on the bending of the interaction of average pressure and changes in the curvature of the middle surface, as well as the added mass of the gaseous medium, is determined.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 6","pages":"3375 - 3389"},"PeriodicalIF":0.6,"publicationDate":"2025-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143581041","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}