Mechanics of Solids最新文献

{"title":"Double-Sided Friction Stir Welding of TC4 Titanium Alloy: A Comprehensive Thermo-Fluid-Solid Coupling Analysis","authors":"Yuanpeng Liu,&nbsp;Meixin Ge,&nbsp;Zhenghe Wang,&nbsp;Guang Zeng,&nbsp;Kun Chen,&nbsp;Shunxin Liu,&nbsp;Wenjian Tang,&nbsp;Longxin Zhu","doi":"10.1134/S0025654425603787","DOIUrl":"10.1134/S0025654425603787","url":null,"abstract":"<p>Titanium alloy is widely used in high-tech industries such as aerospace and military equipment due to its excellent properties. However, traditional welding methods for titanium alloy have many problems. Friction stir welding FSW is a solid-state welding technique that can reduce welding defects, but it also has limitations when applied to thick plates. DS-FSW has the potential to solve these problems. In this study, a DS-FSW thermo-fluid-solid coupling model was established using the CEL method in ABAQUS to investigate the thermal cycle, stress distribution, and material flow during the welding process. The effects of welding speed and tool rotation speed on the temperature field, stress field, and flow field were analyzed. The results show that increasing the welding speed can slightly reduce the peak temperature and optimize the heat input distribution. The stress increases with the welding speed due to the reduced heat input and insufficient material plasticization. The material flow speed vector distribution becomes more uniform with increasing welding speed. The tool rotation speed has a significant impact on the temperature field. Higher rotation speeds lead to higher peak temperatures and more uniform heat input distribution. However, excessive rotation speeds may cause the material to exceed the melting point, leading to welding defects. The stress decreases with the increase of the rotation speed due to the increased material plasticization and flow. The material flow speed vector distribution also becomes more uniform with increasing rotation speed. This study provides insights into the optimization of DS-FSW parameters for titanium alloy and contributes to the development of high-quality welding processes.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 8","pages":"7239 - 7258"},"PeriodicalIF":0.9,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738662","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 Fractional Nonlocal Thermoviscoelastic Framework Incorporating Non-Singular Kernels and Length-Scale Effects: Analysis of Rotating Cylindrical Semiconductor under Pulse Heating","authors":"Ahmed E. Abouelregal,&nbsp;Nouf A. Alrubea,&nbsp;Marin Marin","doi":"10.1134/S0025654425606470","DOIUrl":"10.1134/S0025654425606470","url":null,"abstract":"<p>This study presents a novel and thermodynamically consistent framework designed to overcome key limitations of classical viscoelastic and thermoelastic theories, which fail to capture memory effects, size-dependent phenomena, and ultrafast thermal responses in micro- and nano-scale semiconductor devices. The proposed model uniquely integrates fractional calculus with nonlocal continuum mechanics by employing the Caputo–Fabrizio fractional derivative, characterized by a smooth, non-singular exponential kernel that avoids unphysical singularities while preserving realistic fading memory behavior. In addition, the model incorporates dual relaxation times to account for phase-lagged heat conduction and carrier diffusion, along with a nonlocal length-scale parameter that captures long-range atomic interactions. The framework is specifically applied to a rotating cylindrical semiconductor subjected to pulsed laser heating, a physically relevant scenario for high-speed optoelectronic and microelectromechanical systems operating under transient thermal and mechanical loads. The solution methodology combines analytical techniques based on Laplace transforms with robust numerical inversion to solve the fully coupled multiphysics problem involving thermal, mechanical, electronic, and electromagnetic fields. Key findings from parametric analyses reveal that the fractional order, nonlocal scale, angular velocity, laser pulse duration, and thermal/carrier phase lags all significantly influence the distributions of temperature, carrier density, displacement, and stress. Critically, the results demonstrate that ignoring nonlocal effects or relying on classical integer-order derivatives leads to substantial inaccuracies in predicting photothermal and thermomechanical responses. This model offers a more accurate, physically grounded, and reliable predictive tool for the design and performance assessment of next-generation semiconductor-based devices, such as high-speed rotating micro-gyroscopes, laser-driven actuators, photothermal nanosensors, and other microelectromechanical systems where precise control of coupled thermal, mechanical, and electronic behavior under ultrafast excitation is essential.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 8","pages":"7213 - 7238"},"PeriodicalIF":0.9,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738734","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":"Technique of Determining Plasticity Functionals for a Plane Strain Trajectory Based on Experimental Data","authors":"S. L. Subbotin,&nbsp;A. A. Alekseev,&nbsp;V. I. Gultyaev","doi":"10.1134/S002565442560552X","DOIUrl":"10.1134/S002565442560552X","url":null,"abstract":"<p>The article presents calculation formulas and a technique for the practical determination of the functionals of the theory of elastic-plastic processes based on experimental data for plane strain trajectories. To obtain the calculation formulas, a vector representation of stresses and strains is used, and a constitutive relation in the form of A.A. Ilyushin’s coplanarity hypothesis is applied. In the presented method for calculating stress vector components, experimental data are recalculated to equally spaced points along the strain trajectory using linear interpolation. The resulting data are smoothed to reduce random experimental errors using the least-squares method and known formulas. Using the smoothed data and numerical differentiation formulas, the derivatives of the stress vector components along the strain trajectory are found, and from these, the values of the plasticity functionals along the given strain trajectory are determined. The accuracy of the result using the applied methodology is assessed by the proximity of the experimental values of the stress vector components to the coplanarity hypothesis relations calculated by numerical integration. The results of processing an experiment involving complex loading in the deviatoric stress space with axial force and torque (<i>P</i> + <i>M</i> experiment) on a thin-walled tubular specimen made of 45 steel are presented. The results of calculating the plasticity functionals along a plane curved strain trajectory consisting of eight successive semicircles are presented in clear graphical form. The functionals are often complex, which complicates their direct use in mathematical models of plasticity theory. Therefore, approximations of the functionals are often used, allowing them to be replaced with simpler expressions while ensuring sufficient accuracy. The presented method for determining plasticity functionals can be used to process experimental data and construct approximations of the functionals.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 8","pages":"6667 - 6678"},"PeriodicalIF":0.9,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738477","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":"Continuum Mechanical Study of Love-Wave Propagation in Fibre-Reinforced Plate Over an Orthotropic Substrate with Interfacial Imperfection","authors":"Abhilasha,&nbsp;Abhinav Singhal,&nbsp;Abdulkafi Mohammed Saeed,&nbsp;Anjali Chaudhary","doi":"10.1134/S0025654425604161","DOIUrl":"10.1134/S0025654425604161","url":null,"abstract":"<p>This paper aims to analyse the propagation of Love-type waves in a fibre-reinforced composite (FRC) over a pre-stressed orthotropic substrate. The upper fibre-reinforced layer is imperfectly bonded to the lower orthotropic half-space. The structure considered has a mechanical imperfection (MI). The purpose is to investigate the integrated effect of fibre reinforcement, initial stress, and flawed interface on the dispersion and attenuation of Love-type waves. The dispersion relation is derived analytically using the boundary condition. The phase velocity of the Love-type wave has been discussed in its typical cases: (i) in the infusion of reinforcement and absence of initial stress, (ii) in the presence of reinforcement subjected to initial stress, considering scenarios with and without the flawed coupling. The numerical computation of the analytical finding was performed and plotted using MATLAB, showing the impact of the parameters considered. It is observed that the interfacial imperfection positively influences the phase velocity of the Love-type wave in the model considered. The increase in the reinforcement parameter <span>({{a}_{1}}~)</span> and the decrease in <span>({{a}_{3}})</span> lead to attenuation in phase velocity. In engineering, fibres are considered to be oriented in two or more directions, and the study assumes only bidirectional fibres. The results highlight the combined influence of mechanical anisotropy, pre-stress, and interface quality on guided wave characteristics, offering valuable insights for the design and optimisation of layered composites, acoustic sensors, and structural health monitoring systems.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 8","pages":"6823 - 6840"},"PeriodicalIF":0.9,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738657","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":"Post-Buckling Response of Functionally Graded Porous Double-Curved Nanoshells under Uniform Lateral Pressure in a Thermal Environment","authors":"H. Talati,&nbsp;A. Shaterzadeh","doi":"10.1134/S0025654425604732","DOIUrl":"10.1134/S0025654425604732","url":null,"abstract":"<p>This paper investigates the nonlinear post-buckling behavior of functionally graded porous double-curved nanoshells (FGP-DC-NS), which rest on elastic foundations and are subjected to uniform lateral pressure in a thermal environment. The temperature-dependent properties of the nanoshell, are graded across its thickness by employing a modified rule of mixture and power-law function. The formulation of the double-curved nanoshell employs the nonlocal elasticity theory and classical shell theory (CST), incorporating von Kármán type kinematic nonlinearity. The nonlinear system of equilibrium equations for the double-curved nanoshell is derived using the principle of minimum total potential energy. The governing equations are reformulated in their non-dimensional form to address the case of functionally graded porous double-curved nanoshells with immovable edges. Closed-form solutions are obtained in this study by adopting the two-step perturbation technique. The numerical outcomes are centered on Si3N4/SUS304 FGP double-curved nanoshell. Numerical parametric analysis and three types of porosity distribution are carried out to examine the effects of the small-scale parameter, geometric parameters, material properties, and temperature rise, on the post-buckling behavior of the FGP-DC-NS. These results indicate that the post-buckling behavior of the FGP-DC-NS remains stable in the face of uniform lateral pressure and thermal environment.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 8","pages":"7033 - 7055"},"PeriodicalIF":0.9,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738770","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":"Microstructural Modeling, Simulation, and Experimental Investigation of Non-Proportional Passive Loading on Pure Nickel Tubular Specimens","authors":"I. R. Murtazin,&nbsp;A. S. Semenov","doi":"10.1134/S0025654425605737","DOIUrl":"10.1134/S0025654425605737","url":null,"abstract":"<p>The study of microplastic strain accumulation processes under complex passive loading is relevant for fatigue analysis. In this paper, based on a modified microstructural model of elastoplastic deformation, which includes various mechanisms of inelastic deformation, the possibility of a refined description of non-proportional passive loading is investigated, and the proposed approach is experimentally verified. The microstructural model of polycrystalline material takes into account the presence and interaction of crystallites with arbitrary orientation. The model is compared with the experiment using the finite element homogenization method by averaging the microstress and microstrain fields over a representative volume element. The results of experimental studies of tubular polycrystalline samples of technically pure nickel under active (uniaxial tension after preliminary compression) and passive (torsion with tension/compression inside the yield hypersurface) loading are presented. A relation between the microstructure of the samples and their mechanical characteristics has been established. Based on the results of macro-level experiments using the <i>particleswarm</i> optimization method, which simulates the group behavior of agents, a procedure for determining the parameters of the microstructural model has been developed. The comparison of computation results with experimental data showed that the proposed two-level microstructural model of polycrystalline material allows the process of plastic strain accumulation under complex non-proportional passive loading to be described with good accuracy.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 8","pages":"6647 - 6659"},"PeriodicalIF":0.9,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738783","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":"Torsion of Reinforced Bars","authors":"D. O. Evtikhov,&nbsp;I. L. Savostyanova,&nbsp;S. I. Senashov,&nbsp;O. N. Cherepanov","doi":"10.1134/S002565442560535X","DOIUrl":"10.1134/S002565442560535X","url":null,"abstract":"<p>The problem of elastic-plastic torsion of rolled section rods reinforced with elastic fibers is considered. The conservation law method was used to solve the problem. Based on the analytical solution, computer programs were developed to find the rod’s elastic-plastic boundary. The program’s results are presented for various values of the torsional parameter for T-beam, H-beam, channel, cross, and Z-shaped rods. The calculations were performed on a personal computer; the time required to construct the elastic-plastic boundaries presented in the article ranges from 35 to 90 min, depending on the rod type.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 8","pages":"6618 - 6626"},"PeriodicalIF":0.9,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738457","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":"Systems of Integer Rational Hemitropic Invariants for Micropolar Continuum Mechanics","authors":"E. V. Murashkin,&nbsp;Y. N. Radayev","doi":"10.1134/S0025654425700037","DOIUrl":"10.1134/S0025654425700037","url":null,"abstract":"<p>This paper concerns an application of the theory of rational invariants for deriving the cubic approximations of energy forms for the potentials of force and couple stresses in the hemitropic micropolar elastic bodies. The A-representation method is the most appropriate for given such potentials, which makes it possible to easily obtain an approximation of a prescribed degree as a polynomial linear combination of rational invariants with respect to the hemitropic group of transformations of the three-dimensional space. Within the framework of this study, the analysis is caried our by considering on a complete irreducible set of 86 individual and joint hemitropic integral rational algebraic invariants for a system of two symmetric and two antisymmetric second-rank tensors. The obtained set of invariants is then used to obtain the cubic energy form approximation and determine a complete set of 37 constitutive constants. Requisite formulas are find out to derive the constitutive equations of hemitropic micropolar elasticity.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 8","pages":"6635 - 6646"},"PeriodicalIF":0.9,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738473","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":"Research on a Structural Fatigue Life Prediction Method Based on Non-Equal Interval Stress Spectra and an Improved Corten–Dolan Damage Model","authors":"Daoyun Chen,&nbsp;Weiqiang Zhu,&nbsp;Caiying Luo,&nbsp;Miao Deng,&nbsp;Minshi Zhong,&nbsp;Xinlong Liu,&nbsp;Wenbin Yang,&nbsp;Qian Xiao","doi":"10.1134/S0025654425603118","DOIUrl":"10.1134/S0025654425603118","url":null,"abstract":"<p>To address the lack of a clear classification basis for compiling stress spectra and the lack of a reasonable definition of the parameters of the traditional Corten-Dolan damage model in the current process of predicting structural fatigue life, a life prediction method based on non-equal-interval stress spectra and an improved Corten–Dolan damage model is investigated. By utilizing cluster analysis and support vector machine (SVM) theory, considering the characteristics of the stress cycle itself for spectral compilation, and comprehensively considering the load interaction and strength degradation effect, a systematic structural fatigue life prediction method is formed. Comparison of the obtained non-equal-interval stress spectra damage and improved Corten–Dolan model lifetimes with those obtained via other spectral methods and those obtained via other damage models. The analytical results confirm that the non-equal interval stress spectra and the improved Corten–Dolan damage model exhibit high accuracy.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 8","pages":"6705 - 6724"},"PeriodicalIF":0.9,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738478","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":"New Analytic Free Vibration Solutions of Free-Edge Orthotropic Moderately Thick Rectangular Plates by the Symplectic Superposition Method","authors":"M. M. Zhang,&nbsp;E. Bai","doi":"10.1134/S0025654425605142","DOIUrl":"10.1134/S0025654425605142","url":null,"abstract":"<p>The goal of this paper is to uniformly study the free vibration problems of free-edge (FFFF) orthotropic/isotropic rectangular plates with different aspect ratios and thickness-to-width ratios using the symplectic superposition method (SSM). The governing equations for the orthotropic moderately thick rectangular plate (MTRP) are first transformed into Hamiltonian canonical equations. Then, by analyzing the boundary conditions (BCs) of the plate, the vibration problem of the original FFFF orthotropic MTRP is decomposed into two sub-vibration problems with sliding supports on two opposite sides. After that, the general solutions for these two sub-vibration problems are obtained using the separation of variables method in the Hamiltonian framework. Then, based on the superposition method, the symplectic superposition solution for the original vibration problem is derived by superimposing the general solutions of these two sub-vibration problems. In examples, the symplectic superposition solution is applied to present the vibration frequencies and corresponding modes for orthotropic rectangular plates with different thickness-to-width ratios and aspect ratios. Additionally, the change rules of vibration frequencies with aspect ratios, thickness-to-width ratios, and elastic modulus ratios are analyzed. The SSM does not need to set any trial function in advance, its solving process can be achieved through step-by-step rigorous derivation, and this method has a wide range of applications. For example, this method can be used to study the buckling and vibration of plates with different materials and shapes under more complex boundary conditions.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 8","pages":"7110 - 7124"},"PeriodicalIF":0.9,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738623","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}