{"title":"Size effects in hexagonal and Re-entrant metamaterial beams under bending","authors":"Ahmad Baroutaji","doi":"10.1016/j.mechrescom.2025.104526","DOIUrl":"10.1016/j.mechrescom.2025.104526","url":null,"abstract":"<div><div>This paper investigates the effects of boundary conditions, cell topology, relative density, and functionally graded pattern on the size effects of metamaterial beams with a hexagonal unit cell subjected to concentrated transverse bending loads. Beams with clamped and simply supported end conditions were studied. Two hexagonal unit cell topologies (regular hexagonal and re-entrant geometries) and two functionally graded approaches (transversally functionally graded and axially functionally graded patterns) are adopted to create various metamaterial beams with different configurations. Numerical finite element analysis (FEA) simulations and the Euler-Bernoulli (EB) beam model were used to estimate the bending responses of the different metamaterial beams.</div><div>The results indicate that metamaterial beams with hexagonal unit cells exhibit stiffness-softening size effects under bending. This means that the smaller the difference between the unit cell size and the overall beam size, the larger the apparent deflection of the beam. This size-dependent behaviour of the hexagonal metamaterial beam is well captured by a nonlocal strain-gradient model. The cell topology and functionally graded patterns displayed limited impact on the size effects, while the relative density significantly influenced the size effects. Metamaterial beams with high relative density exhibit weaker size effects than their low relative density counterparts.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"149 ","pages":"Article 104526"},"PeriodicalIF":2.3,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145099392","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":"Frictional Energy Harvesting Vibration Absorbers","authors":"Sudip Chowdhury, Sondipon Adhikari","doi":"10.1016/j.mechrescom.2025.104539","DOIUrl":"10.1016/j.mechrescom.2025.104539","url":null,"abstract":"<div><div>Structural vibration control is essential for enhancing the safety and longevity of engineering systems. Traditional Tuned Mass Dampers (TMDs) effectively mitigate vibrations but are limited by their reliance on large auxiliary masses. To address this challenge, we propose the Frictional Energy Harvesting Vibration Absorber (FEHVA), a novel hybrid absorber that integrates frictional damping with energy harvesting. The governing equations of FEHVA are derived using the statistical linearisation method, and optimal design parameters are determined via H<span><math><msub><mrow></mrow><mrow><mn>2</mn></mrow></msub></math></span> optimisation. Dynamic response evaluations reveal that FEHVA achieves up to 14.20% improved vibration reduction over conventional TMDs under harmonic and random excitations. Furthermore, comparisons with the Inerter Energy Harvesting Vibration Absorber (IEHVA) show that FEHVA provides 85.97% superior vibration attenuation, demonstrating its efficiency in broadband vibration mitigation. The hybrid combination of frictional damping and energy harvesting significantly enhances structural resilience while generating electrical power. These results establish FEHVA as a robust, sustainable alternative for vibration control in civil engineering applications. By offering enhanced damping and energy harvesting simultaneously, FEHVA presents a step forward in the development of multifunctional vibration absorbers, advancing future engineering solutions for infrastructure subjected to dynamic loads.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"149 ","pages":"Article 104539"},"PeriodicalIF":2.3,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145321135","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}
Francesco Paolo Pinnola , Raimondo Luciano , Francesco Marotti de Sciarra
{"title":"Bishop nanorods with stress-driven nonlocal elasticity and arbitrary boundary conditions","authors":"Francesco Paolo Pinnola , Raimondo Luciano , Francesco Marotti de Sciarra","doi":"10.1016/j.mechrescom.2025.104533","DOIUrl":"10.1016/j.mechrescom.2025.104533","url":null,"abstract":"<div><div>One-dimensional structural elements, such as thick rods, are essential in the development of nanoscale electromechanical systems. Their design and mechanical behavior at small scales can be effectively described using nonlocal continuum mechanics, which captures size-dependent effects and long-range interactions while reducing computational costs compared to atomistic methods. This study analyzes small-scale thick rods with realistic boundary conditions using Bishop’s model, incorporating a nonlocal integral constitutive relation. Usually, the nonlocal relation is derived from Eringen’s integral model, in which the nonlocal stress at a point depends on the entire strain field through a Fredholm-type convolution integral. However, this strain-driven formulation may lead to inconsistencies when applied to bounded domains. To address these issues, a stress-driven nonlocal integral formulation is adopted, providing a well-posed mechanical model that admits analytical solutions. A parametric study is conducted to evaluate the influence of nonlocal effects under various boundary conditions. Theoretical and numerical results contribute to a better understanding of the mechanical behavior of nanorods and offer valuable insights for the design of small-scale components.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"149 ","pages":"Article 104533"},"PeriodicalIF":2.3,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145221284","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":"Effects of magnetically highly and weakly conducting interfaces on flexomagnetic waveguide layered system","authors":"Richa Kumari , Santosh Kapuria , Santan Kumar","doi":"10.1016/j.mechrescom.2025.104534","DOIUrl":"10.1016/j.mechrescom.2025.104534","url":null,"abstract":"<div><div>This work sheds light on the different modes of Love-type wave propagation in a flexomagnetic smart composite stratified structure involving imperfect interface. To be specific, the structure incorporates a piezomagnetic layer with flexomagnetic and micro-inertia effects, which is bonded imperfectly to a piezomagnetic semi-space. By means of variable separable approach, dispersion equations are determined for imperfect interfaces, viz. mechanically compliant and magnetically weakly and mechanically compliant and magnetically highly conducting interfaces, for both magnetically open and magnetically short conditions. The established dispersion equations, as special case, concur well with the classical result existing in the literature. Numerical simulation is performed to illustrate the effects of micro-inertia length-scale parameter, flexomagnetic constant, imperfectness parameters, wave number and thickness of layer on distinct modes of Love-type wave velocity for both the magnetic conditions. The numerical results manifest the substantial impact of mechanically compliant and magnetically highly conducting imperfect interface on Love-type wave as compared to mechanically compliant and magnetically weakly conducting imperfect interface. The results of the study may be applicable in designing magnetic systems such as actuators, sensors and energy harvesting devices.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"149 ","pages":"Article 104534"},"PeriodicalIF":2.3,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145320585","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":"Analysis of void coalescence accounting for nonuniform void distributions","authors":"A. Cruzado, A.A. Benzerga","doi":"10.1016/j.mechrescom.2025.104536","DOIUrl":"10.1016/j.mechrescom.2025.104536","url":null,"abstract":"<div><div>Void growth and coalescence are investigated in a class of non-uniform void populations under load conditions of overall axial symmetry. Fast Fourier transform based finite strain calculations were carried out using three-dimensional periodic cells containing monodispersed equiaxed voids embedded in an elastic–plastic matrix with isotropic linear hardening. Constant stress triaxiality was maintained in a given calculation and a range of triaxialities were explored. Both the overall stress–strain relation of the porous material and the evolution of porosity are natural outcomes to this type of analysis. In particular, circumstances were examined under which a transition to uniaxial straining of the cell occurs, thereby introducing a measure of ductility. The results show that nonuniform void dispersions do not necessarily lower the overall ductility relative to a reference ordered (simple cubic) dispersion. This finding is interpreted in light of the inherent competition between a recently uncovered phenomenon of distribution softening and persistent isotropy in void spacing evolution.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"149 ","pages":"Article 104536"},"PeriodicalIF":2.3,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145363336","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":"Recent developments in the modeling of thin-walled structures combining GBT and shell finite elements","authors":"Rodrigo Gonçalves , Dinar Camotim , David Manta","doi":"10.1016/j.mechrescom.2025.104525","DOIUrl":"10.1016/j.mechrescom.2025.104525","url":null,"abstract":"<div><div>This paper presents a state-of-the art report on recent developments concerning the modeling of thin-walled members and frames, by combining the advantages of Generalized Beam Theory (GBT) and conventional shell finite elements. Two approaches are reported. The first one combines, in the same model, GBT-based (beam) and shell finite elements, through appropriate constraint equations. The beam elements are employed only in the elastic and prismatic zones, since the remaining zones are handled more efficiently with shell elements. The second approach recovers the insightful GBT mode participations from shell finite element results, through post-processing operations. This approach is useful when GBT elements are not available, cannot be employed (e.g., in tapered members) or are not computationally advantageous, and has a significant potential of application in standard finite element programs, since its implementation is quite straightforward. Throughout the paper, several numerical examples are presented and discussed, to illustrate the application and show the capabilities of the two approaches.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"149 ","pages":"Article 104525"},"PeriodicalIF":2.3,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145099394","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":"Hygrothermal-induced dynamic behavior of stratified composite plates based on mindlin-reissner analysis","authors":"Saira Javed","doi":"10.1016/j.mechrescom.2025.104519","DOIUrl":"10.1016/j.mechrescom.2025.104519","url":null,"abstract":"<div><div>This study investigates the vibration analysis of stratified composite plates of constant thickness subjected to hygrothermal effects. The analysis considers the impact of temperature and moisture variations on the material properties and structural response of stratified composite plates. Governing equations are derived using Mindlin-Reissner Theory (MRT) to capture transverse shear effects accurately. The hygrothermal effects are incorporated into the constitutive equations through temperature- and moisture-dependent material properties, leading to a coupled thermo-mechanical model. A numerical approach, such as the spline approximation method, is employed to analyse the frequencies and mode shapes under various edge conditions. The results indicate that increased temperature and moisture content reduce the stiffness of the stratified composite plates, leading to a decrease in natural frequencies. Additionally, the influence of material alignment, assembling sequence, and boundary conditions on the vibrational response is examined. The findings provide critical intuitions into the design and reliability of stratified composite structures exposed to varying environmental conditions, such as in aerospace, marine, and automotive applications.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"149 ","pages":"Article 104519"},"PeriodicalIF":2.3,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145049931","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":"Non-Fourier heat conduction: Discrete vs continuum approaches","authors":"S.L. Sobolev","doi":"10.1016/j.mechrescom.2025.104512","DOIUrl":"10.1016/j.mechrescom.2025.104512","url":null,"abstract":"<div><div>Under far from local-equilibrium conditions, that is on ultra-short space and time scales, the inherent non-locality of the heat conduction process begins to play a crucial role. The discrete variable model (DVM), which assumes that time and space are discrete variables, is one of the most effective approaches to describe the nonlocal effects. Heat conduction equation, energy conservation law, and constitutive equation for the heat flux have been formulated and analyzed in the framework of the DVM. The DVM predicts rather unusual behavior in the spectral characteristics of discrete heat equations on ultrashort time and length scales compared to predictions of continuum approaches. This unusual behavior may serve as a guide for new experimental investigations of high-frequency heat flow regimes, observation of new physical phenomena in solid and thermal materials to expand the range of their technological applications.</div><div>To bridge the gap between the discrete and continuum approaches, two invariants for the continualization procedure, namely, thermal diffusivity and propagation velocity of temperature disturbances, have been employed. It has been demonstrated that in the continuum limit the discrete heat equation contains an infinite hierarchy of partial differential equations including classical Fourier, hyperbolic, Guyer-Krumhansl and Jeffreys heat conduction equations. Generalizations of the DVM to two-dimensional and two-temperature cases have been considered. Possible applications of the discrete approach to heat conduction in nano systems and metamaterials have been discussed.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"149 ","pages":"Article 104512"},"PeriodicalIF":2.3,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145099393","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":"Investigation of two-dimensional airfoil ice fracture behavior and influencing factors under aerodynamic loading","authors":"Jiaqi Duan , Xianlei Guan , Xian Wang , Xian Yi","doi":"10.1016/j.mechrescom.2025.104520","DOIUrl":"10.1016/j.mechrescom.2025.104520","url":null,"abstract":"<div><div>Aircraft frequently encounter icing and ice shedding during flight, which poses a serious threat to flight safety. To investigate the fracture and shedding mechanisms of ice accumulation on the wing surface under aerodynamic loads, a numerical model for the fracture and shedding of airfoil ice is established in this paper based on the bond-based peridynamics theory. The aerodynamic load distribution on the outer surface of the ice is obtained using the computational fluid dynamics method and applied as a boundary load to the outer particle layer of the peridynamics model to predict crack initiation and propagation behavior. The ice is formed by the icing of supercooled large water droplets, resulting in a ram’s horn shape. The effects of inflow velocity, angle of attack, ice elastic modulus, and ice critical bond stretch on the fracture behavior of airfoil ice are analyzed. The model effectively predicts the crack initiation time, location, propagation path, and propagation rate. Under low inflow velocity, no cracks were generated; however, as velocity exceeds a critical threshold and the angle of attack increases, cracks are more likely to develop in high-stress regions. Additionally, a lower elastic modulus and fracture toughness significantly accelerate crack formation and propagation. This study provides a theoretical foundation and technical reference for the design of aircraft ice protection systems.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"149 ","pages":"Article 104520"},"PeriodicalIF":2.3,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145099391","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":"Comparative analysis of beam responses via Hencky and fractional models under different mass distributions","authors":"Soner Aydinlik , Ahmet Kiris , Wojciech Sumelka","doi":"10.1016/j.mechrescom.2025.104511","DOIUrl":"10.1016/j.mechrescom.2025.104511","url":null,"abstract":"<div><div>This study presents a comparative analysis of the mechanical responses of beams modeled using Hencky and fractional approaches under various mass distribution conditions. The beam models considered in this study are composed of rigid segments connected by rotational springs, with three distinct mass distribution schemes analyzed: masses concentrated at the joints, masses located at the midpoints of each rigid part, and masses uniformly distributed along each segment. The developed model converges to the Euler–Bernoulli beam theory in the continuum limit, as the number of rigid segments tends to infinity. Closed-form expressions for natural frequencies are derived for simply supported boundary conditions. To approximate the dynamic response of these discrete models and capture their scale-dependent effects, corresponding nonlocal fractional continuum models are formulated using the symmetric Caputo derivative. These models enable precise fractional parameter calibration based on discrete systems’ dispersion relations. The analysis reveals a strong influence of the mass distribution on the dynamic behavior, with stiffening or softening effects emerging depending on the mass arrangement. The proposed fractional framework successfully replicates the dispersion characteristics of each discrete Hencky model and confirms that the accurate selection of fractional derivative parameters effectively models the vibrational behavior of microstructured beams.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"149 ","pages":"Article 104511"},"PeriodicalIF":2.3,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145049932","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}