Mohamed I. A. Othman, Devender Sheoran, Ramesh Kumar, Kapil Kumar Kalkal
{"title":"Thermo-Dynamical Interactions in a Fibre-Reinforced Orthotropic Magneto-Elastic Material with Temperature-Dependent Properties and Gravity","authors":"Mohamed I. A. Othman, Devender Sheoran, Ramesh Kumar, Kapil Kumar Kalkal","doi":"10.1134/S0025654424604105","DOIUrl":"10.1134/S0025654424604105","url":null,"abstract":"<p>In this paper, the Green-Lindsay theory is used to study two-dimensional interactions in fibre-reinforced orthotropic magneto-thermoelastic media with temperature dependence and gravity. Formulations are subjected to mechanical stress. An exact solution to the problem is achieved by applying normal mode techniques. In addition, comparisons were made to analyze the effects of temperature-dependent properties, gravity, magnetic field, time and gain parameters. Displacement, stress and temperature components are numerically calculated for appropriate materials and presented graphically. Graphical results show that reinforcement, gravity, magnetic field, temperature-dependent properties and time have a significant influence on the distribution of all physical quantities. Some interesting special cases emerge from this report.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 5","pages":"2843 - 2860"},"PeriodicalIF":0.6,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143373372","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":"Elliptic Boundary Layer in Shells of Revolution under Surface Shock Loading of Normal Type","authors":"I. V. Kirillova","doi":"10.1134/S0025654424604397","DOIUrl":"10.1134/S0025654424604397","url":null,"abstract":"<p>In the present article, a method for solving a boundary value problem for an elliptical boundary layer occurring in thin-walled shells of revolution under normal-type impacts on the front surfaces is constructed. The elliptical boundary layer is constructed in the vicinity of a conditional front of Rayleigh surface waves and is described by elliptic equations with boundary conditions specified by hyperbolic equations. In the general case of shells of revolution, the methods for solving equations for an elliptical boundary layer developed for shells of revolution of zero Gaussian curvature cannot be used. The previously considered scheme for using the integral Laplace and Fourier transforms ceases to work since the resolving equations become equations with variable coefficients. The method for solving the equations of an elliptical boundary layer proposed in this paper is based on the use of an asymptotic representation of the images of the Laplace solution (in time) in exponential form. The paper presents a numerical calculation of the normal stress based on the obtained analytical solutions for the case of a spherical shell.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 5","pages":"2686 - 2693"},"PeriodicalIF":0.6,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1134/S0025654424604397.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143373407","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An Efficient Robust Optimization Method for Two-Bar Structures under Uncertain Loading","authors":"Xinze Guo, Shunyi Shi, Kemin Zhou","doi":"10.1134/S0025654424604646","DOIUrl":"10.1134/S0025654424604646","url":null,"abstract":"<p>Uncertainty is omnipresent in manufacturing and engineering community. This paper develops an efficient robust optimization framework for a two-bar structural model under uncertain loading, which includes magnitude and direction uncertainty following Gaussian distribution. This framework aims to simultaneously minimize the expectancy and standard deviation of structural compliance with volume constraints. A reasonable and efficient estimation of the statistical moment of structural compliance is recognized the critical to the probability-based RTO problem. To address the computational challenges associated with high dimensionality in traditional surrogate models, a decoupling technique based on non-intrusive polynomial chaos expansion is developed. Such a numerical evaluation tool is generic for different types of structures. In addition, an analytical expression based on a two-bar structure is derived as a standard reference. The cross-sectional area and angle with horizontal direction of each bar are taken as design variables and optimization is achieved using the optimality criteria. Numerical examples demonstrate that the accuracy and efficiency of the reported algorithm are significantly improved compared to conventional methods such as polynomial chaos expansion and Monte Carlo simulation. The optimized designs prove a better robust performance than their counterparts.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 5","pages":"2892 - 2905"},"PeriodicalIF":0.6,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143373409","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 the Assembly of a Hot-Fit Elastic-Viscoplastic Disk with a Non-Circular Inclusion","authors":"A. A. Burenin, A. V. Tkacheva","doi":"10.1134/S0025654424603628","DOIUrl":"10.1134/S0025654424603628","url":null,"abstract":"<p>The solution of a non-one-dimensional boundary value problem of the theory of plane temperature stresses is used to calculate the level and distribution of temperature stresses at each time point during the process of performing the technological operation of assembling a composite disk by hot fitting, when the enclosed assembly part is different from a circular plate. Residual stresses in the assembly elements and the resulting interference fit in it after its cooling to room temperature are calculated. Current and residual stresses are calculated depending on the preliminary heating of the enclosing ring, the thermomechanical properties of the mating parts and their initial geometry. The yield strengths of the elastic-viscoplastic elements of the assembly are assumed to be essentially dependent on the local temperature. Attention is drawn to the need to exclude singularity when setting boundary conditions on the mating surfaces of the assembly parts.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 5","pages":"2674 - 2685"},"PeriodicalIF":0.6,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143373234","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":"Electroelasticity of Disc Piezofibrous Actuator","authors":"A. A. Pan’kov","doi":"10.1134/S0025654424603227","DOIUrl":"10.1134/S0025654424603227","url":null,"abstract":"<p>A microstructural model of a coil composite piezoelectric fiber disk (FibrCD) actuator has been developed. The actuator is formed by winding a large number of turns of a thin electroded piezoelectric fiber in the form of a shielded single-core cable with a radially polarized piezoelectric interelectrode layer, followed by impregnation and continualization of the turns with a polymer binder. An exact analytical solution has been obtained for the electric and deformation fields of the axisymmetric coupled boundary value problem of electroelasticity on the elementary composite cell “piezoelectric cable/binder shell.” Further, the exact solution for electroelastic fields inside a composite cell loaded with electric voltage on the cable electrodes is used to find exact analytical solutions for the tensors of effective coefficients of piezoelectric stresses and linear piezoelectric expansion (deformations) of the fiber composite as a homogeneous disk FibrCD actuator with cylindrical anisotropy within the framework of the known polydisperse model of the composite structure. The calculation and numerical analysis of the FibrCD actuator characteristics are performed for various values of its macroscopic and structural parameters, in particular, the disk (ring) thickness, the difference between the outer and inner radii of the ring, the relative sizes of the radius of the conductive core and the thickness of the binder layer between adjacent cable turns. The efficiency of the FibrCD actuator is confirmed in comparison with the characteristics of traditional actuators.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 5","pages":"2719 - 2734"},"PeriodicalIF":0.6,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143373350","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":"Heat Production due to Creep Strains and Wall Viscoplastic Flow in the Plug Material in a Round Pipe under the Action of Variable Pressure Difference","authors":"L. V. Kovtanyuk, G. L. Panchenko, E. O. Popova","doi":"10.1134/S0025654424604270","DOIUrl":"10.1134/S0025654424604270","url":null,"abstract":"<p>A solution is obtained for the coupled boundary value problem of non-isothermal deformation of a material forming a finite-length plug in a non-deformable round pipe. Under conditions of rigid adhesion to the pipe surface, the material is deformed under the action of a variable pressure drop specified on the end surfaces of the plug. Irreversible deformation is associated with both creep and viscoplastic flow of the material and causes its heating. Additionally, the dependences of the yield strength, viscosity coefficient, and creep parameters of the material on temperature are taken into account. Using the large deformation model, the processes of creep and viscoplastic flow with increasing and constant pressure drop, flow braking and unloading of the medium with decreasing pressure, as well as cooling of the material after complete removal of the mechanical load are studied.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 5","pages":"2694 - 2705"},"PeriodicalIF":0.6,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143373406","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}
I. S. Nikitin, N. G. Burago, A. D. Nikitin, B. A. Stratula
{"title":"Fatigue Strength under High Frequency Loading of Materials Produced by Selective Laser Melting","authors":"I. S. Nikitin, N. G. Burago, A. D. Nikitin, B. A. Stratula","doi":"10.1134/S0025654424604762","DOIUrl":"10.1134/S0025654424604762","url":null,"abstract":"<p>The mathematical modeling of the selective laser melting process of metallic alloy powders for the construction of metal products has been carried out within the framework of the enthalpy formulation of the three-dimensional non-stationary nonlinear heat conductivity problem for a multiphase system. The parameters of the geometry of a single track, as well as single-layer and multilayer systems of overlapping tracks, depending on the power and speed of the laser beam have been determined that makes it possible to estimate the structure and types of defects occuring during layer-by-layer printing of specimens. To study the effect of single and multiple defects on the fatigue behavior of printed specimens under high-frequency loading, the previously proposed multi-mode model of cyclic damage has been used. It is shown that the internal heterogeneity of the microstructure of materials printed by selective laser melting can lead to earlier subsurface nucleation of fatigue cracks and significantly reduce the fatigue strength and durability. This effect is more pronounced for systems of multiple defects. The proposed models and calculation algorithms allow us to calculate the fatigue strength and durability of specimens for various systems of microstructure defects corresponding to the specified characteristics of a moving laser beam, as well as to determine the range of parameters of the selective laser melting process, in which the best fatigue strength indicators are achieved under high-frequency loading.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 5","pages":"2789 - 2805"},"PeriodicalIF":0.6,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143373351","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}
S. M. Abo-Dahab, A. E. Abouelregal, Maha M. Helmi, A. M. Abd-Alla, Mnahil M. Bashier
{"title":"Dual-Phase-Lag Model on Reflection of P- and SV- Magneto-Thermoelastic Waves from Isothermal Boundary of a Half-Space","authors":"S. M. Abo-Dahab, A. E. Abouelregal, Maha M. Helmi, A. M. Abd-Alla, Mnahil M. Bashier","doi":"10.1134/S0025654424604567","DOIUrl":"10.1134/S0025654424604567","url":null,"abstract":"<p>This study investigates reflection of SV-wave as well as p-wave within a homogeneous and isotropic generalized magneto-thermoelastic half-space subjected to isothermal and stress-free, employing the theoretical dual-phase-lag model. The fundamental governing equations are employed in the framework of Tzou model with dual-phase-lag (DPL). The results showed three plane waves, i.e. p-, thermal, as well as SV-waves. The study considered reflecting an isothermal stressed-free surface to get the amplitude ratios of these waves for getting p- and <i>SV</i>-waves. The amplitude ratios were given graphically for the generalized theories of thermoelasticity. Finally, the obtained results were compared with the findings of the literature. A comparison has been made between the present results and the previous results presented by others. The numerical and graphical results underscore the significant influence of phase lag and magnetic field on the phenomenon of reflection of p-wave and SV-wave.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 5","pages":"2876 - 2891"},"PeriodicalIF":0.6,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143373374","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}
K. V. Kukudzhanov, G. R. Khalikova, E. A. Korznikova, A. V. Chentsov, S. V. Dmitriev
{"title":"Healing of Long Fatigue Cracks in Steel Plates by High-Density Current Pulses","authors":"K. V. Kukudzhanov, G. R. Khalikova, E. A. Korznikova, A. V. Chentsov, S. V. Dmitriev","doi":"10.1134/S0025654424605949","DOIUrl":"10.1134/S0025654424605949","url":null,"abstract":"<p>The healing of cracks in metals and alloys by means of exposure to strong pulsed electromagnetic fields is of considerable interest, since it allows to increase the reliability and service life of structural materials and products made of them. In spite of practical importance, the methodology of selection of the parameters of the electric pulse treatment, which would allow to heal the defects, has not been developed yet. Healing of long macrocracks in thin plates by welding of their edges under electric pulse action is of particular difficulty. The present work is devoted to the study of the possibility of selecting the parameters of electric pulse treatment for such a case. The mechanism of healing of macrocracks in flat specimens is considered. The proposed multistage method of electric pulse treatment allowed to heal a significant length of macrocrack in a steel plate. The conducted studies of microstructure of cross-sections of AISI201 stainless steel samples confirm that healing occurs by the mechanism of welding of crack edges by molten material. The electric pulse creates at the tip of the crack significant compressive stress and high temperature, causing the melting of steel. The experiments showed significant heterogeneity of healing along the macrocrack front and in depth, however, the quality of healing improved with increasing distance from the plate surface. In the healed region along the crack edges, a zone with elongated grains surrounding a central zone with equiaxed grains is observed, which reflects the kinetics of cooling of the molten region of the specimen exposed to the current pulse.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 5","pages":"3223 - 3234"},"PeriodicalIF":0.6,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143373383","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":"Study of Photothermal Interactions in Semiconductor Media with Energy Dissipation","authors":"Aatef Hobiny, Ibrahim Abbas","doi":"10.1134/S0025654424605494","DOIUrl":"10.1134/S0025654424605494","url":null,"abstract":"<p>This study uses a novel model of photo-thermal and elastic wave with energy dissipation to calculate the temperature, stress, displacement, and carrier density in semiconductor media. The medium is taken into consideration when thermo-elastic waves and plasma are coupled. This study investigated the interactions between highly concentrated laser beams with varied intensity and the material’s thermal, elastic, and plasma waves. The eigenvalue scheme and Laplace transform is utilized to get the analytical full expressions of the most important phenomena. The analytical solutions generated by the eigenvalue technique in the altered domains were seen using Laplace transform methods. The numerical computations were performed using a semiconductor that looked like silicon.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 5","pages":"3182 - 3197"},"PeriodicalIF":0.6,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143373279","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}