Mechanics Research Communications最新文献

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Computational analysis of region-specific bone remodeling in the human femur via strain energy decomposition 基于应变能分解的人类股骨区域特异性骨重构的计算分析
IF 1.9 4区 工程技术
Mechanics Research Communications Pub Date : 2025-07-21 DOI: 10.1016/j.mechrescom.2025.104481
R. Allena
{"title":"Computational analysis of region-specific bone remodeling in the human femur via strain energy decomposition","authors":"R. Allena","doi":"10.1016/j.mechrescom.2025.104481","DOIUrl":"10.1016/j.mechrescom.2025.104481","url":null,"abstract":"<div><div>This paper proposes a finite element model of bone remodeling that is applied to a two-dimensional human femur. Based on previous works, the model distinguishes between hydrostatic and deviatoric strain energy components in order to mimic their respective contributions to the remodeling stimulus. Three physiologically relevant loading conditions — muscular loading, bending-torsion, and twisting — were investigated to determine how localized mechanical stimuli affect the evolution of bone mass density, bulk modulus, and shear modulus. Our results indicate that remodeling responses are very region-specific and depend on both the manner and intensity of mechanical loading. Under muscular force, energy concentrations and remodeling activity were restricted to the femoral neck and mid-diaphysis. Torsional loads created larger deviatoric energy fields, particularly in the femoral shaft and neck, resulting in increased shear modulus. The model’s sensitivity to strain mode was validated by comparison with prior simulations on circular and square geometries, while additional asymmetries due to realistic bone structure were revealed. These findings give mechanistic insight into functional adaptability as well as a computational underpinning for patient-specific fracture risk assessments and treatment planning.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104481"},"PeriodicalIF":1.9,"publicationDate":"2025-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144670662","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
Mechanical buckling analysis of porous circular plates with radially graded porosity using first-order shear deformation theory 基于一阶剪切变形理论的径向渐变多孔圆板力学屈曲分析
IF 1.9 4区 工程技术
Mechanics Research Communications Pub Date : 2025-07-18 DOI: 10.1016/j.mechrescom.2025.104483
M.J. Khoshgoftar, P. Akbari
{"title":"Mechanical buckling analysis of porous circular plates with radially graded porosity using first-order shear deformation theory","authors":"M.J. Khoshgoftar,&nbsp;P. Akbari","doi":"10.1016/j.mechrescom.2025.104483","DOIUrl":"10.1016/j.mechrescom.2025.104483","url":null,"abstract":"<div><div>Porous structures, known for their lightweight nature and tailorable mechanical properties, play a pivotal role in aerospace, automotive, and biomedical applications. Among these, circular plates with spatially varying porosity are particularly susceptible to buckling under compressive loading. This study examines the mechanical buckling behavior of functionally graded porous circular plates with radially varying porosity subjected to a uniformly distributed radial load. Two boundary conditions—simply supported and clamped edges—are considered. The governing equations are derived using first-order shear deformation theory (FSDT) to incorporate transverse shear effects and are solved analytically using a semi-exact Fourier–Bessel series expansion method, which offers a computationally efficient and accurate alternative to numerical approaches. The proposed formulation is validated through finite element simulations and benchmark results from the literature. The results highlight the distinct influence of radial porosity variation on structural stability, revealing that the critical buckling load is highly sensitive to the porosity distribution, plate geometry, and boundary conditions. Plates with reduced porosity toward the outer edge exhibit significantly enhanced buckling resistance, while clamped boundaries increase the critical load by 35–50 % over simply supported cases. The proposed method offers a practical and reliable framework for analyzing radially graded porous plates and provides a foundation for future studies involving coupled mechanical, thermal, or dynamic effects.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104483"},"PeriodicalIF":1.9,"publicationDate":"2025-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144704743","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
Investigation of chemical corrosion influence on the mechanical behavior of rock-like materials by a micromechanics-based constitutive model 基于细观力学的本构模型研究化学腐蚀对类岩石材料力学行为的影响
IF 1.9 4区 工程技术
Mechanics Research Communications Pub Date : 2025-07-17 DOI: 10.1016/j.mechrescom.2025.104477
Jueliang Chen , Siyu Liu , Susheng Wang , W.Q. Shen
{"title":"Investigation of chemical corrosion influence on the mechanical behavior of rock-like materials by a micromechanics-based constitutive model","authors":"Jueliang Chen ,&nbsp;Siyu Liu ,&nbsp;Susheng Wang ,&nbsp;W.Q. Shen","doi":"10.1016/j.mechrescom.2025.104477","DOIUrl":"10.1016/j.mechrescom.2025.104477","url":null,"abstract":"<div><div>The plastic deformation and damage generated during external loading or chemical reactions under corrosive environments have a significant influence on the macroscopic mechanical behavior of heterogeneous materials. In this work, a multiscale elastoplastic damage constitutive model is constructed for porous materials with and without chemical corrosion. Due to the external loading or the chemical corrosion, the material microstructure is changed. In this work, particular attention has been paid to the effect of material microstructure on the overall mechanical of heterogeneous material. The influence of porosity has been explicitly taken into account by a macroscopic yield criterion and it is treated as a damage factor. The asymmetric property of geomaterial between tension and compression has been considered by adopting the Drucker–Prager type criterion. By integrating the damage such as the new pores generated during the loading and also the chemical corrosion, a complete elastoplastic damage constitutive model is constructed. The performance of this multiscale model is fully studied. It is then applied to describe the macroscopic behavior of porous limestone in the case with/without chemical corrosion, and validated by the comparisons with experimental results under different confining pressures.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104477"},"PeriodicalIF":1.9,"publicationDate":"2025-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144679810","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
Finite difference displacement integration for linear buckling analysis of non-uniform columns 非均匀柱线性屈曲分析的有限差分位移积分法
IF 1.9 4区 工程技术
Mechanics Research Communications Pub Date : 2025-07-16 DOI: 10.1016/j.mechrescom.2025.104479
Paolo Di Re
{"title":"Finite difference displacement integration for linear buckling analysis of non-uniform columns","authors":"Paolo Di Re","doi":"10.1016/j.mechrescom.2025.104479","DOIUrl":"10.1016/j.mechrescom.2025.104479","url":null,"abstract":"<div><div>This paper proposes the use of the Finite Difference Displacement Integration (FDDI) technique for the numerical analysis of columns subjected to flexural buckling. The proposed method for buckling analysis is based on the approach suggested by other researchers, who have used the Curvature Based Displacement Interpolation (CBDI) technique. The CBDI technique, formulated within the realm of geometrically nonlinear force-based frame elements, employs a Lagrange interpolation of the cross-section bending curvature. However, this has shown numerical instability when numerous quadrature cross-sections are placed along the element length. Consequently, the proposed buckling analysis method is revisited with the incorporation of the FDDI technique, which employs a finite difference approximation of the cross-section compatibility conditions, yielding a more robust, yet computationally equivalent numerical method. Numerical tests are conducted to evaluate the efficacy of the proposed method, demonstrating that the FDDI effectively eliminates numerical difficulties and reliably converges to the exact solution.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104479"},"PeriodicalIF":1.9,"publicationDate":"2025-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144662100","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
Effective response of periodic micropolar elastic structures with hollow fibers 中空纤维周期性微极性弹性结构的有效响应
IF 1.9 4区 工程技术
Mechanics Research Communications Pub Date : 2025-07-12 DOI: 10.1016/j.mechrescom.2025.104475
Y. Espinosa-Almeyda , R. Rodríguez-Ramos , J.A. Otero , H. Camacho-Montes , J.O. Herrera-Robles , P. Rodríguez-Bermudez
{"title":"Effective response of periodic micropolar elastic structures with hollow fibers","authors":"Y. Espinosa-Almeyda ,&nbsp;R. Rodríguez-Ramos ,&nbsp;J.A. Otero ,&nbsp;H. Camacho-Montes ,&nbsp;J.O. Herrera-Robles ,&nbsp;P. Rodríguez-Bermudez","doi":"10.1016/j.mechrescom.2025.104475","DOIUrl":"10.1016/j.mechrescom.2025.104475","url":null,"abstract":"<div><div>In this work, the effective behavior of periodic micropolar elastic structures with hollow fibers is investigated using the two-scale asymptotic homogenization method (AHM). The micropolar elastic structures are modeled as a two-phase uniaxial fiber-reinforced composite (FRC) defined by an isotropic and centro-symmetric micropolar matrix with periodically arranged hollow fibers. The governing equations are formulated within the micropolar elasticity framework, considering antiplane-strain deformation states. The antiplane local problems derived from AHM are stated, and explicit formulations are derived for the corresponding effective stiffness and torque properties. The influence of the spatial distribution of hollow fibers on the overall effective properties is analyzed. Numerical results are obtained for different parallelogram arrays of hollow fibers embedded in syntactic foam and dense polyurethane foam matrices. The findings show the effect of microstructure on the effective behavior of the composite and provide insight into the design and optimization of micropolar elastic composites with improved mechanical properties.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104475"},"PeriodicalIF":1.9,"publicationDate":"2025-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144655463","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
Experimental study and modeling of the microstructural effects on the mechanical behavior of Ti-6Al-4V titanium alloy 微观组织对Ti-6Al-4V钛合金力学行为影响的实验研究与模拟
IF 1.9 4区 工程技术
Mechanics Research Communications Pub Date : 2025-07-12 DOI: 10.1016/j.mechrescom.2025.104473
Fatna Benmessaoud , Mohammed Cheikh , Vanessa Vidal , Hiroaki Matsumoto , Vincent Velay
{"title":"Experimental study and modeling of the microstructural effects on the mechanical behavior of Ti-6Al-4V titanium alloy","authors":"Fatna Benmessaoud ,&nbsp;Mohammed Cheikh ,&nbsp;Vanessa Vidal ,&nbsp;Hiroaki Matsumoto ,&nbsp;Vincent Velay","doi":"10.1016/j.mechrescom.2025.104473","DOIUrl":"10.1016/j.mechrescom.2025.104473","url":null,"abstract":"<div><div>This work is devoted to studying the coupled effect of grain size and crystallographic texture on the mechanical behavior at room temperature of Ti<img>6Al<img>4V alloy with an equiaxed microstructure. To this end, experimental data was collected on a broad range of mechanical solicitation conditions through monotonic and cyclic tests, followed by macroscopic elasto-viscoplastic modeling.</div><div>The experimental results show that the mechanical behavior of Ti<img>6Al<img>4V is mainly influenced by both the grain size and the crystallographic texture. The microstructure with the finest grain size exhibits the highest flow stress. The weakly textured alloy presents the highest ductility. Moreover, all the Ti<img>6Al<img>4V microstructures present cyclic softening behavior. In addition, at room temperature, no microstructure was found to exhibit significant strain rate sensitivity. The results also show that the grain size affects the yield strength of the Ti<img>6Al<img>4V alloy, as well as its ductility and its kinematic hardening.</div><div>The proposed model formulation accurately predicts the effect of the microstructural features of the Ti<img>6Al<img>4V alloy. Isotropic and kinematic hardening laws are modified by introducing the grain size effects via the Hall-Petch relationship.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104473"},"PeriodicalIF":1.9,"publicationDate":"2025-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144687078","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 aspects of continualization of 2D lattices antiplane dynamical problem 二维格反平面动力学问题的连续化问题
IF 1.9 4区 工程技术
Mechanics Research Communications Pub Date : 2025-07-09 DOI: 10.1016/j.mechrescom.2025.104480
Igor V. Andrianov , Lelya A. Khajiyeva , Askar K. Kudaibergenov , Galina A. Starushenko
{"title":"On aspects of continualization of 2D lattices antiplane dynamical problem","authors":"Igor V. Andrianov ,&nbsp;Lelya A. Khajiyeva ,&nbsp;Askar K. Kudaibergenov ,&nbsp;Galina A. Starushenko","doi":"10.1016/j.mechrescom.2025.104480","DOIUrl":"10.1016/j.mechrescom.2025.104480","url":null,"abstract":"<div><div>This paper is devoted to the continualization of a 2D lattice. PDEs describing the standard long-wavelength continuous approximation, π-vibrational modes in the <em>x</em>- and <em>y</em>-directions, and π – π-vibrational mode are derived. These limiting cases are used when constructing an asymptotically equivalent continuous approximation described by the model with modified inertia. The principle of asymptotic equivalence is reduced to the requirement that the solutions of the dispersion equations of the original lattice model and the improved continuous model coincide when the limiting cases are considered. It is worth noting that the second-order PDE with respect to the spatial variables is obtained. In this regard, its use in a finite region does not require the formulation of additional boundary conditions. The improved continuous approximation provides a sufficiently accurate description of the frequency spectrum throughout the entire first Brillouin zone. The kinetic and elastic potential energy densities of this model are positive definite. The positive definiteness of the elastic potential energy density allows for the application of this model in static problems. To assess the accuracy of the obtained continuous approximation and the range of its applicability, 3D visualizations comparing various models, as well as 2D sectional views of these 3D plots are presented. Moreover, additional criteria for assessing the accuracy of the continuous approximation (the coefficient of determination, residual variance, relative mean squared and absolute errors) are provided.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104480"},"PeriodicalIF":1.9,"publicationDate":"2025-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144670661","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
Numerical and experimental study of layered beams with vibration-damping coatings for improved vibration mitigation 具有减振涂层的层状梁的数值与实验研究
IF 1.9 4区 工程技术
Mechanics Research Communications Pub Date : 2025-07-07 DOI: 10.1016/j.mechrescom.2025.104476
Vibhooti Narayan Mishra , Abhay Gupta , Saroj Kumar Sarangi
{"title":"Numerical and experimental study of layered beams with vibration-damping coatings for improved vibration mitigation","authors":"Vibhooti Narayan Mishra ,&nbsp;Abhay Gupta ,&nbsp;Saroj Kumar Sarangi","doi":"10.1016/j.mechrescom.2025.104476","DOIUrl":"10.1016/j.mechrescom.2025.104476","url":null,"abstract":"<div><div>Constrained Layer Damping (CLD) treatments using viscoelastic materials (VEM) are commonly employed to control vibration in automotive and aerospace applications. Special damped laminates and sandwich structures, along with vibration-damping compound sprays, provide effective solutions for mitigating unwanted vibrations and noise. The challenge in composite design lies in minimizing the added weight and material costs while achieving the desired damping performance. In this study, a vibration-damping compound is introduced as a structural solution for vibration reduction. This compound can be easily applied by spraying onto surfaces that further absorb/dissipate vibration and reduce the resonance effects. The proposed composite material comprises a VEM core sandwiched between aluminum face layers, coated with a high-damping compound spray. This innovative design establishes a new standard for low-weight, cost-effective, high-performance sound-damping materials. By replacing traditional materials such as rubbers and foams, the composite significantly reduces weight and cost while maintaining superior damping performance. The dynamic finite element (FE) analysis of the damping treatment arrangement demonstrates an enhancement in damping characteristics. Experimental modal analysis is done to measure the damping performance and natural frequencies for various coating thicknesses. The results show a significant improvement in damping, offering a promising solution for vibration control in structural applications, particularly for industries requiring lightweight, cost-effective materials without compromising performance.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104476"},"PeriodicalIF":1.9,"publicationDate":"2025-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144571157","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
Integrated design of tensile membrane structures using scientific machine learning including wrinkling considerations 使用科学机器学习的拉伸膜结构集成设计,包括起皱考虑
IF 1.9 4区 工程技术
Mechanics Research Communications Pub Date : 2025-07-05 DOI: 10.1016/j.mechrescom.2025.104468
Sounak Kabasi , Allan L. Marbaniang , Siddhartha Ghosh
{"title":"Integrated design of tensile membrane structures using scientific machine learning including wrinkling considerations","authors":"Sounak Kabasi ,&nbsp;Allan L. Marbaniang ,&nbsp;Siddhartha Ghosh","doi":"10.1016/j.mechrescom.2025.104468","DOIUrl":"10.1016/j.mechrescom.2025.104468","url":null,"abstract":"<div><div>Tensile membrane structures (TMS) are extremely popular these days owing to their aesthetic appeal, lightweight and their ability to cover large expansive areas. However, the design of TMS involves two computationally challenging steps: (a) form-finding — to find the initial equilibrium shape subjected to the given prestress and boundary conditions and (b) Load analysis — to determine whether the obtained form can resist design loads. Furthermore, the membrane wrinkling phenomena causes even more difficulties in load analysis frameworks. Traditional mesh-based analysis frameworks suffer from ill-conditioned stiffness matrix and convergence issues that can arise due to wrinkling. Hence, in this study a mesh-less framework for load analysis is proposed by posing the load analysis problem as a direct energy minimization problem and solving it using a Quasi Newton optimizer. Modified potential energy formulations for wrinkling considerations incorporated in the mesh-free approach are also proposed. The analysis is performed by employing gradient-enhanced physics-informed neural networks (gPINN) aided by the theory of functional connections (TFC) ensuring kinetically admissible field variables without the requirement of an additional loss function for enforcing the essential boundary conditions. The analysis framework eliminates the requirement of calculation of an explicit stiffness matrix and the penalty parameter as well. Additionally, a vectorized implementation is incorporated, making the proposed approach computationally feasible. Finally, an integrated sequential form-finding and load analysis framework for seamless design and analysis of frame-supported and cable-supported TMS is proposed. Extensive numerical case studies are performed to test the efficacy of the proposed framework. The computational efficiency of the proposed method in comparison to a traditional mesh-based method is also noted.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104468"},"PeriodicalIF":1.9,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144563423","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
Transverse vibration of an embedded nanotube made of functionally graded porous material based on NSGT 基于NSGT的功能梯度多孔材料嵌入纳米管的横向振动
IF 1.9 4区 工程技术
Mechanics Research Communications Pub Date : 2025-07-04 DOI: 10.1016/j.mechrescom.2025.104478
Murat Akpınar, Büşra Uzun, Mustafa Özgür Yaylı
{"title":"Transverse vibration of an embedded nanotube made of functionally graded porous material based on NSGT","authors":"Murat Akpınar,&nbsp;Büşra Uzun,&nbsp;Mustafa Özgür Yaylı","doi":"10.1016/j.mechrescom.2025.104478","DOIUrl":"10.1016/j.mechrescom.2025.104478","url":null,"abstract":"<div><div>The present work focuses on examining the transverse vibration behavior of a functionally graded porous nanotube resting on a Winkler–Pasternak elastic foundation, incorporating size-dependent effects and deformable boundary conditions. An analytical approach based on nonlocal strain gradient theory is adopted, which accounts for small-scale effects through two distinct size parameters—one with a strengthening effect and the other with a weakening effect. For the first time, deformable boundary conditions are considered the functionally graded porous nanotube in this context. An eigenvalue problem is formulated using the Stokes' transform, with constant coefficients assigned to the springs, along with Winkler–Pasternak foundation coefficients, material properties, and scale parameters. The resulting characteristic equation is solved analytically for various values of foundation stiffness, elastic spring parameters, strain gradient, and nonlocal effects to determine the system’s vibration frequencies. A comparative assessment with earlier research is conducted to validate the findings, confirming their accuracy. Then, the effects of small-scale parameters, volume fraction index, deformable boundaries, elastic foundation, rotary inertia and porosity density are discussed.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104478"},"PeriodicalIF":1.9,"publicationDate":"2025-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144631540","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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