Mechanics of Solids最新文献

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A Study on Bio-Thermal and Mechanical Interactions in Cylindrical Tissues with Experimental Data
IF 0.6 4区 工程技术
Mechanics of Solids Pub Date : 2025-02-09 DOI: 10.1134/S0025654424604750
Zuhur Alqahtani, Ibrahim Abbas, Alaa A. El-Bary, Areej Almuneef
{"title":"A Study on Bio-Thermal and Mechanical Interactions in Cylindrical Tissues with Experimental Data","authors":"Zuhur Alqahtani,&nbsp;Ibrahim Abbas,&nbsp;Alaa A. El-Bary,&nbsp;Areej Almuneef","doi":"10.1134/S0025654424604750","DOIUrl":"10.1134/S0025654424604750","url":null,"abstract":"<p>This work presents a method for numerically determining the thermal damages of cylindrical living tissue due to laser irradiation utilizing a hyperbolic bioheat model. To assess thermal injuries to the tissues, the Arrhenius relation must be used to assess the amount of denatured protein. Because the governing formulations are complicated, the finite element approach is used to solve this kind of problem. Moreover, the correctness of the numerical solution is confirmed by contrasting the numerical outcome of the finite element technique with recent experimental data. Explanatory graphics of the numerical results exhibit the increment in displacement, temperature, thermal damages and the stresses in responses to changes in the duration of laser exposure, the intensity of laser and blood perfusion rate. Additionally, the numerical outcome and the available experimental data are compared, showing that the present mathematical model is a useful tool for evaluating bio-heat transport in cylindrical human tissue.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 5","pages":"2960 - 2974"},"PeriodicalIF":0.6,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143373315","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}
引用次数: 0
Creep-Life for Brittle Rocks Subjected to Uniaxial Compression: a Theoretical Investigation
IF 0.6 4区 工程技术
Mechanics of Solids Pub Date : 2025-02-09 DOI: 10.1134/S0025654424605044
Houxu Huang, Yongxiang Cai, Rui Pan, Yi Cai, Chao Yan, Shuai Yin, Huazhang Shen
{"title":"Creep-Life for Brittle Rocks Subjected to Uniaxial Compression: a Theoretical Investigation","authors":"Houxu Huang,&nbsp;Yongxiang Cai,&nbsp;Rui Pan,&nbsp;Yi Cai,&nbsp;Chao Yan,&nbsp;Shuai Yin,&nbsp;Huazhang Shen","doi":"10.1134/S0025654424605044","DOIUrl":"10.1134/S0025654424605044","url":null,"abstract":"<p>The failure and damage of brittle rock is attributed to crack development, there is crack propagation inside the brittle rock even the applied stress is lower than the rock strength. Establishing the theoretical relationship between the external loading and the local stress that around the crack is not only helpful for understanding the mechanisms underlying the creep behavior of brittle rock, but also offers the possibility of theoretically estimating the creep-life of brittle rock. In this paper, the cracks in the cylindrical rock specimen are assumed to be uniformly distributed and penny-shaped with their major axes parallel to the axial direction of the cylindrical rock specimen, the creep-life of brittle rock refers specifically to the total time consumed in the subcritical crack growth stage. The expressions and direction of the local stresses around the crack tips are derived based on dividing the local stress into two parts. The phenomenon of brittle rock exhibiting tensile failure under the uniaxial compression is preliminarily explained. The crack propagation rate that directly related to the local tensile stress is derived. The requirements for subcritical crack growth are theoretically analyzed. A new expression of creep-life of brittle rock with a clear physical meaning and the key parameter “<span>(Psi )</span>” is established. Considering that the theoretical studies on estimating the creep-life of brittle rock are rare, and the experiments related to the creep-life are very time-consuming. Therefore, this study may provide an effective approach for theoretically estimating the creep-life of brittle rock under the given uniaxial compressive stress state.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 5","pages":"3008 - 3023"},"PeriodicalIF":0.6,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143373413","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}
引用次数: 0
Thermo-Dynamical Interactions in a Fibre-Reinforced Orthotropic Magneto-Elastic Material with Temperature-Dependent Properties and Gravity
IF 0.6 4区 工程技术
Mechanics of Solids Pub Date : 2025-02-09 DOI: 10.1134/S0025654424604105
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,&nbsp;Devender Sheoran,&nbsp;Ramesh Kumar,&nbsp;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}
引用次数: 0
Elliptic Boundary Layer in Shells of Revolution under Surface Shock Loading of Normal Type
IF 0.6 4区 工程技术
Mechanics of Solids Pub Date : 2025-02-09 DOI: 10.1134/S0025654424604397
I. V. Kirillova
{"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}
引用次数: 0
An Efficient Robust Optimization Method for Two-Bar Structures under Uncertain Loading
IF 0.6 4区 工程技术
Mechanics of Solids Pub Date : 2025-02-09 DOI: 10.1134/S0025654424604646
Xinze Guo, Shunyi Shi, Kemin Zhou
{"title":"An Efficient Robust Optimization Method for Two-Bar Structures under Uncertain Loading","authors":"Xinze Guo,&nbsp;Shunyi Shi,&nbsp;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}
引用次数: 0
On the Assembly of a Hot-Fit Elastic-Viscoplastic Disk with a Non-Circular Inclusion
IF 0.6 4区 工程技术
Mechanics of Solids Pub Date : 2025-02-09 DOI: 10.1134/S0025654424603628
A. A. Burenin, A. V. Tkacheva
{"title":"On the Assembly of a Hot-Fit Elastic-Viscoplastic Disk with a Non-Circular Inclusion","authors":"A. A. Burenin,&nbsp;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}
引用次数: 0
Electroelasticity of Disc Piezofibrous Actuator
IF 0.6 4区 工程技术
Mechanics of Solids Pub Date : 2025-02-09 DOI: 10.1134/S0025654424603227
A. A. Pan’kov
{"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}
引用次数: 0
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
IF 0.6 4区 工程技术
Mechanics of Solids Pub Date : 2025-02-09 DOI: 10.1134/S0025654424604270
L. V. Kovtanyuk, G. L. Panchenko, E. O. Popova
{"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,&nbsp;G. L. Panchenko,&nbsp;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}
引用次数: 0
Fatigue Strength under High Frequency Loading of Materials Produced by Selective Laser Melting
IF 0.6 4区 工程技术
Mechanics of Solids Pub Date : 2025-02-09 DOI: 10.1134/S0025654424604762
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,&nbsp;N. G. Burago,&nbsp;A. D. Nikitin,&nbsp;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}
引用次数: 0
Dual-Phase-Lag Model on Reflection of P- and SV- Magneto-Thermoelastic Waves from Isothermal Boundary of a Half-Space
IF 0.6 4区 工程技术
Mechanics of Solids Pub Date : 2025-02-09 DOI: 10.1134/S0025654424604567
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,&nbsp;A. E. Abouelregal,&nbsp;Maha M. Helmi,&nbsp;A. M. Abd-Alla,&nbsp;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}
引用次数: 0
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