Mechanics of Solids最新文献

Impact of Heterogeneity and Rectangular Irregularity on the Propagation of Love Waves in a Thermoelastic Layer 非均质性和矩形不规则性对Love波在热弹性层中传播的影响

IF 0.9 4区工程技术

Mechanics of Solids Pub Date : 2026-04-24 DOI: 10.1134/S0025654425604471

Suraj Sharma, Ravinder Kumar

{"title":"Impact of Heterogeneity and Rectangular Irregularity on the Propagation of Love Waves in a Thermoelastic Layer","authors":"Suraj Sharma, Ravinder Kumar","doi":"10.1134/S0025654425604471","DOIUrl":"10.1134/S0025654425604471","url":null,"abstract":"This study investigates the propagation of Love waves in a layered system composed of a homogeneous thermoelastic layer with an upper rigid surface, resting over a non-homogeneous elastic half-space. A rectangular-shaped irregularity is introduced at the interface between the thermoelastic layer and non-homogeneous half space to simulate geometric discontinuity. The governing equations of motion are formulated using Biot’s theory of elasticity, incorporating the effects of temperature-dependent material behaviour through generalized thermoelasticity. Fourier transformation and perturbation techniques are applied to derive the dispersion relation governing Love wave propagation. Numerical evaluation of the dispersion relation using MATLAB demonstrates that phase velocity is significantly influenced by the thermal coupling parameter, inhomogeneity factor, and irregularity dimensions. The results reveal that the thermal effects, in combination with material inhomogeneity and rectangular interface irregularities, significantly influence the phase velocity of Love waves. The present analysis provides theoretical insight into the combined influence of thermal effects and structural irregularities, with potential applications in geophysical exploration and thermoelastic material design.","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 8","pages":"6841 - 6859"},"PeriodicalIF":0.9,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738301","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

Thermoelastic Response of a Half-Space under Time-Harmonic Mechanical Loading in Moore-Gibson-Thompson Theory with Non-Local and Hyperbolic Two-Temperature Effects 具有非局部双曲双温效应的Moore-Gibson-Thompson理论中时谐机械载荷下半空间的热弹性响应

IF 0.9 4区工程技术

Mechanics of Solids Pub Date : 2026-04-24 DOI: 10.1134/S0025654425606305

Indu Bala, Sachin Kaushal, Sunit Kumar, Saurav Sharma

{"title":"Thermoelastic Response of a Half-Space under Time-Harmonic Mechanical Loading in Moore-Gibson-Thompson Theory with Non-Local and Hyperbolic Two-Temperature Effects","authors":"Indu Bala, Sachin Kaushal, Sunit Kumar, Saurav Sharma","doi":"10.1134/S0025654425606305","DOIUrl":"10.1134/S0025654425606305","url":null,"abstract":"The present study investigates the influence of non-local and hyperbolic two-temperature (HTT) parameter on a Moore-Gibson-Thompson (MGT) thermoelastic model, focusing on the deformation behaviour under time-harmonic. The governing equations of the model are simplified to two dimensions and solved using dimensionless quantities and a potential function approach. By using the time-harmonic nature of the equations and applying Fourier transform, analytical expressions for the components of displacement, stress fields, conductive temperature and thermodynamic temperature are derived. To demonstrate the practical applicability of the model, uniformly distributed force (UDF) and linearly distributed force (LDF) are considered. The study graphically illustrates the effects of non-local parameters, angular frequency, and the HTT parameter on stresses, conductive temperature and thermodynamic temperature. These results provide valuable insights into how these factors influence the thermoelastic behaviour of materials under dynamic loading conditions. The findings are particularly relevant for researchers in geophysics, material sciences, and engineering, especially those working in the field related to material vibration and deformation. Some particular cases from this study have also been deduced.","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 8","pages":"7282 - 7294"},"PeriodicalIF":0.9,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738455","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

Effect of Initial Stress on a Thermoelastic Medium with Green-Naghdi Theory (Type II) 基于Green-Naghdi理论的热弹性介质初始应力效应（ⅱ型）

IF 0.9 4区工程技术

Mechanics of Solids Pub Date : 2026-04-24 DOI: 10.1134/S0025654425605683

G. A. Yahya, A. M. Abd-Alla, F. S. Bayones

{"title":"Effect of Initial Stress on a Thermoelastic Medium with Green-Naghdi Theory (Type II)","authors":"G. A. Yahya, A. M. Abd-Alla, F. S. Bayones","doi":"10.1134/S0025654425605683","DOIUrl":"10.1134/S0025654425605683","url":null,"abstract":"The objective of this study is to examine the influence of initial stress on an isotropic medium, within the framework of Green-Naghdi thermoelasticity theory (Type II). A time-dependent mechanical load is applied to the free surface of the medium, and analytical solutions for the resulting thermal stresses, displacement, and temperature fields are derived using the Lame’s potential and normal mode analysis. Numerical simulations, implemented through MATHEMATICA programming, are conducted for a representative material to validate the theoretical model. The results are presented graphically to highlight the effects of various parameters, and initial stress, on the thermoelastic response. From the distributions, it can be found the wave type heat propagation in the medium. A comparison is made with the results obtained in the presence and absence of the initial stress. These findings offer significant insights for advanced engineering and scientific applications, especially in geophysics, aerospace, and biomedical engineering, where complex multiphysical interactions and initial stress effects play a critical role. The study also contributes to the ongoing development of generalized thermoelastic models capable of accurately capturing wave propagation and heat conduction behaviours in isotropic and homogeneous materials.","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 8","pages":"6951 - 6963"},"PeriodicalIF":0.9,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738659","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

Transient Behavior of Layered Porous Cross-Anisotropic Fluid-Saturated Media to Longitudinal and Transverse Impulsive Loads 层状多孔交叉各向异性流体饱和介质在纵向和横向脉冲载荷作用下的瞬态行为

IF 0.9 4区工程技术

Mechanics of Solids Pub Date : 2026-04-24 DOI: 10.1134/S0025654425606561

Shuai Yang, Yexun Li, Song Qiu, Mincai Jia

{"title":"Transient Behavior of Layered Porous Cross-Anisotropic Fluid-Saturated Media to Longitudinal and Transverse Impulsive Loads","authors":"Shuai Yang, Yexun Li, Song Qiu, Mincai Jia","doi":"10.1134/S0025654425606561","DOIUrl":"10.1134/S0025654425606561","url":null,"abstract":"An analytical layer-element method (ALEM) is developed for the transient response of stratified cross-anisotropic porous saturated media subjected to horizontal and vertical impulsive loadings. The governing formulations of Biot’s elastodynamic theory in the cylindrical coordinate system are decoupled with the aid of Hankel-Laplace joint transforms and Fourier series expansion to obtain the general solutions. The dynamic stiffness matrices for each single layer are derived by utilizing the general solutions. The total stiffness matrix is assembled by the single layer matrices on the basis of continuity conditions at the interface as well as boundary conditions. Finally, the fundamental solutions of porous saturated media are developed via the ALEM. The accuracy of the proposed formulations is demonstrated by comparison with existing solutions and the numerical solutions from ABAQUS. Several numerical examples are given in this paper to explore the effects of force depth, load type, material stratification, anisotropy, and material compressibility on the transient response. The results reveal that among the different transient load types, namely step, rectangular impulse, sinusoidal, and triangular impulse forces, the step force induces the largest transient response while the triangular impulse force yields the smallest. With increasing load burial depth, the dynamic responses decrease significantly and the time to reach peak values prolongs. The medium with larger cross-anisotropy parameters exhibits smaller dynamic responses, and the stiffness of the top soil layer dominates the displacement response, whereas the influence of material stratification on pore pressure is negligible.","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 8","pages":"7295 - 7314"},"PeriodicalIF":0.9,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738735","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

Response of Temperature Dependent Properties on Kirchhoff Plate in Non-local Modified Couple Stress Thermoelastic model 非局部修正耦合应力热弹性模型中基尔霍夫板温度相关特性的响应

IF 0.9 4区工程技术

Mechanics of Solids Pub Date : 2026-04-24 DOI: 10.1134/S0025654425603994

Rajneesh Kumar, Pooja Singhal

引用次数: 0

Multi-Objective Optimization for a Novel Parallel Robot with Multiple Actuation Modes 一种新型并联机器人多驱动模式的多目标优化

IF 0.9 4区工程技术

Mechanics of Solids Pub Date : 2026-04-24 DOI: 10.1134/S0025654425605282

Xiao Sun, Dong Liang, Boyan Chang, Haohao Shi, Junpeng Zhang

{"title":"Multi-Objective Optimization for a Novel Parallel Robot with Multiple Actuation Modes","authors":"Xiao Sun, Dong Liang, Boyan Chang, Haohao Shi, Junpeng Zhang","doi":"10.1134/S0025654425605282","DOIUrl":"10.1134/S0025654425605282","url":null,"abstract":"To address the complex requirements of multi-scenario and multi-working-condition in electronic packaging and precision manufacturing, it is imperative to develop automated equipment with strong environmental adaptability and high operational stability. In response, this paper investigates and designs a novel parallel robot with multiple actuation modes. Firstly, based on existing configurations, we innovatively developed a novel parallel robot featuring eight actuation modes by introducing parallelogram auxiliary branches. A systematic analysis of its kinematic characteristics is conducted: inverse kinematic solutions for multiple actuation modes are obtained through the combined application of the projection method and the closed-loop vector method. Based on differential kinematics principles, the velocity Jacobian matrix is derived to establish the transmission relationship model between the end-effector output and input under various actuation modes. Secondly, the performance indices for dexterity, velocity, and stiffness are defined, and a multi-objective coupled optimization mathematical model that considers multiple actuation modes is established. The genetic algorithm is adopted for multi-objective parameter optimization, and finally a design solution set meeting comprehensive performance requirement is obtained. The motion performance of the optimized robot under multiple actuation modes is analyzed, which proves that the optimized robot possesses balanced comprehensive motion performance within the task workspace. Based on the optimization results, key components of this novel multi-actuation-mode parallel robot are designed and manufactured, leading to the construction of a physical prototype platform. Motion performance tests are conducted to validate the rationality of the robotic mechanism design, laying the foundation for subsequent research on multiple actuation modes control strategies.","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 8","pages":"6929 - 6950"},"PeriodicalIF":0.9,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738626","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

Plane Wave Propagation in Non-Local Generalized Thermoelastic Solid with Diffusion Using Eigen Value Approach 基于本征值法的非局部广义热弹性固体扩散中的平面波传播

IF 0.9 4区工程技术

Mechanics of Solids Pub Date : 2026-04-24 DOI: 10.1134/S0025654425604999

Anu, Harsh Sharda, Preeti Jain

引用次数: 0

Campbell Diagrams of Size-Dependent Functionally Graded Rotating Shafts via Simple Strain-Velocity Gradient Theory 基于简单应变-速度梯度理论的尺寸相关功能梯度旋转轴Campbell图

IF 0.9 4区工程技术

Mechanics of Solids Pub Date : 2026-04-24 DOI: 10.1134/S0025654425606202

S. Ziaee

{"title":"Campbell Diagrams of Size-Dependent Functionally Graded Rotating Shafts via Simple Strain-Velocity Gradient Theory","authors":"S. Ziaee","doi":"10.1134/S0025654425606202","DOIUrl":"10.1134/S0025654425606202","url":null,"abstract":"A consistent higher-order continuum framework is developed within the context of Euler-Bernoulli and Timoshenko beam theories to analyze the vibratory behavior of spinning micro/nanoshafts made of functionally graded materials. The pure strain-velocity gradient theory is employed to capture the size-dependent effects. It is assumed that the material properties are varied gradually in radial direction, while the potential formation of porosity during manufacturing is considered by incorporating an even-type porosity dispersion model into the property variation equations. The governing equations of motion are derived by applying Hamilton’s principle in conjunction with the Ritz method, resulting in a system of linear ordinary differential equations. To facilitate eigenfrequency analysis, the discretized equations are transformed into the state-space form. Following validation of the resulting equations and the proposed solution methodology, several illustrative examples are provided to investigate the influence of various parameters—including material composition, length-scale parameter ratio, porosity coefficient, aspect ratio, axial load, and spinning speed—on both forward and backward natural frequencies. The findings demonstrate that decreasing the aspect ratio and/or increasing the spinning speed of a simply-supported rotating shaft significantly accentuate the role of shear deformation in accurately predicting natural frequencies, particularly in higher-order modes. Furthermore, compared to simply-supported micro/nanoshafts, shear deformation exerts a more critical influence on the precise prediction of forward and backward frequencies in fully-fixed, size-dependent spinning shafts.","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"60 8","pages":"7141 - 7175"},"PeriodicalIF":0.9,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738789","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

A Two-Dimensional Thermoelasticity Problem for a Half Space Subjected to Magnetic Field 磁场作用下半空间的二维热弹性问题

IF 0.9 4区工程技术

Mechanics of Solids Pub Date : 2026-04-24 DOI: 10.1134/S002565442560357X

A. M. Abd-Alla, F. S. Bayones

引用次数: 0

Study on the Response of Projectile under Charge Structures of Different Materials 不同材料装药结构下弹丸的响应研究

IF 0.9 4区工程技术

Mechanics of Solids Pub Date : 2026-04-24 DOI: 10.1134/S0025654425604963

Jun Liang, Xuanhua Fan, Shifu Xiao, Feng Ma, Quan Liu

引用次数: 0