{"title":"Bending analysis of CNT-reinforced composite strain gradient microbeams","authors":"Ömer Civalek , Bekir Akgöz","doi":"10.1016/j.mechrescom.2025.104502","DOIUrl":"10.1016/j.mechrescom.2025.104502","url":null,"abstract":"<div><div>In this study, microstructure-dependent static bending analysis of carbon nanotube-reinforced composite (CNTRC) strain gradient microbeams is performed. Four different patterns of CNTs are considered as uniform distribution (UD-Beam), X-Beam, Λ-Beam, and O-Beam. The equilibrium equations are achieved by implementing a variational principle based on Lam’s strain gradient theory and several beam theories. Navier’s solution procedure is utilized to solve the resulting equation for simply supported boundary condition. The influences of small size, slenderness ratio, loading types, volume fraction and the pattern of reinforcement on the deflections are perused in detail.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104502"},"PeriodicalIF":2.3,"publicationDate":"2025-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144893236","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":"Acceleration wave analysis for a compressible Maxwell fluid","authors":"B. Straughan","doi":"10.1016/j.mechrescom.2025.104500","DOIUrl":"10.1016/j.mechrescom.2025.104500","url":null,"abstract":"<div><div>An acceleration wave analysis is developed for a Maxwell viscoelastic fluid which is compressible. A revised Maxwell fluid model is also considered. A two-dimensional discontinuity surface which is an acceleration wave is analysed moving in three-dimensional space. It is found that a longitudinal wave may propagate, but the Maxwell model also allows for a transverse wave. The wavespeeds are calculated explicitly. The wave amplitude is calculated for a plane wave moving in a fixed direction and the amplitude is compared with the analogous one in an inviscid fluid.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104500"},"PeriodicalIF":2.3,"publicationDate":"2025-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144904581","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":"On the extreme stiffness of degenerate Duffing oscillator: A feature overlooked by Ueda","authors":"Sergey V. Kuznetsov","doi":"10.1016/j.mechrescom.2025.104504","DOIUrl":"10.1016/j.mechrescom.2025.104504","url":null,"abstract":"<div><div>Ueda’s discovery of a strange attractor, which appears in the Poincaré section and is associated with deterministic chaos, corresponds to a degenerate Duffing forced harmonic oscillator with vanishing linear stiffness. By reducing the equation of motion to an autonomous system, constructing the corresponding Jacobian matrix, and analysing its eigenvalues, it was found that the system is extremely stiff: its stiffness ratio tends to infinity as the displacement approaches zero. This extremely high stiffness ratio renders explicit numerical methods unsuitable for integrating the equation of motion due to their instability under such conditions. Consequently, Ueda’s original analysis (1985)—based on the use of an explicit single step Runge–Kutta–Gill 4th-order solver (RK4) combined with a Hamming window—may be considered unreliable for capturing the true dynamics of the system.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104504"},"PeriodicalIF":2.3,"publicationDate":"2025-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144896337","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":"Effective toughness estimation by FFT based phase field fracture: Application to composites and polycrystals","authors":"Pedro Aranda , Javier Segurado","doi":"10.1016/j.mechrescom.2025.104498","DOIUrl":"10.1016/j.mechrescom.2025.104498","url":null,"abstract":"<div><div>An estimate of the effective toughness of heterogeneous materials is proposed based on the Phase Field Fracture model implemented in an FFT homogenization solver. The estimate is based on the simulation of the deformation of representative volume elements of the microstructure, controlled by a constant energy dissipation rate using an arc-length type control. The definition of the toughness corresponds to the total energy dissipated after the total fracture of the RVE — which can be accurately obtained thanks to the dissipation control — divided by the RVE transverse area (length in 2D). The proposed estimate accounts for both the effect of heterogeneity in toughness and elastic response on the overall fracture energy and allows as well to account for phases with anisotropic elastic and fracture response (fracture by cleavage). To improve toughness predictions, crack-tip enrichment is used to model initial cracks. The method is applied to obtain the effective toughness of composites and elastic polycrystals in a series of examples. In the two types of materials, it is found that both heterogeneity in elastic response and fracture energy contribute to increase the effective toughness. Microscopically, it is found that toughening mechanisms are related to the propagation of the crack through tougher phases and the deviation of the crack path. It is also found that the latter is the controlling mechanism for cases with marked heterogeneity and high anisotropy, eventually leading to the saturation of the toughening effect for sufficiently high values of heterogeneity or anisotropy.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"149 ","pages":"Article 104498"},"PeriodicalIF":2.3,"publicationDate":"2025-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145019988","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}
C.M. Wang , J.M. Zhang , W.H. Pan , H. Zhang , N. Challamel
{"title":"Vibration analysis of transversely loaded arches using Hencky bar-chain model","authors":"C.M. Wang , J.M. Zhang , W.H. Pan , H. Zhang , N. Challamel","doi":"10.1016/j.mechrescom.2025.104501","DOIUrl":"10.1016/j.mechrescom.2025.104501","url":null,"abstract":"<div><div>This study focuses on the vibration analysis of loaded arches utilizing the Hencky bar-chain model in conjunction with an energy-based approach to derive the governing eigenvalue equations. The formulation is comprehensive, accommodating arbitrary arch shapes, loading and support conditions, and asymmetrical or symmetrical vibration modes. By discretizing the arch into rigid segments connected by frictionless hinges and elastic rotational springs, the Hencky bar-chain model transforms the complex differential equations of continuum mechanics into a solvable set of algebraic equations, facilitating efficient analysis of structural vibrations. This general framework addresses existing gaps in the vibration analysis of loaded arches. To demonstrate its applicability, the study examines illustrative cases involving circular, parabolic, and triangular arches subjected to point and distributed loads, calculating their vibration frequencies to assess the influence of transverse load magnitudes on these frequencies. The accurate vibration frequencies obtained serve as benchmark solutions, valuable for validating new analytical formulations and computational models in the vibration analysis of arches.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104501"},"PeriodicalIF":2.3,"publicationDate":"2025-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144864581","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":"Perturbation solution for the planar Poiseuille flow of a weakly-compressible second-grade fluid with Navier slip","authors":"Lorenzo Fusi, Rebecca Tozzi","doi":"10.1016/j.mechrescom.2025.104494","DOIUrl":"10.1016/j.mechrescom.2025.104494","url":null,"abstract":"<div><div>We present a perturbation solution for the planar Poiseuille flow of a second-grade weakly-compressible fluid in isothermal regime. We assume that the relation between the density and the pressure is linear and that the bulk and shear viscosities are constant. Navier slip conditions are employed on the rigid walls of the channel. Expanding the main variables as a power series of the compressibility coefficient we determine explicit expressions of the main variables up to the second order. These are in the form of polynomials up to grade three in the longitudinal coordinate and grade ten in the transversal coordinate. We show that compressibility has a strong effect on velocity, pressure, shear stress and normal stress difference.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104494"},"PeriodicalIF":2.3,"publicationDate":"2025-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144831348","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}
Dunja Milić , Vladimir Stojanović , Jian Deng , Deli Li
{"title":"Stability analysis of vibrations in a complex moving object equipped with two innovative types of stabilizers: A comparative study","authors":"Dunja Milić , Vladimir Stojanović , Jian Deng , Deli Li","doi":"10.1016/j.mechrescom.2025.104497","DOIUrl":"10.1016/j.mechrescom.2025.104497","url":null,"abstract":"<div><div>This study addresses the dynamic response of beam structures under moving loads, a critical challenge in the design of modern railway systems driven by advances in transportation technology. The focus lies on evaluating the vibrational stability of mechanical oscillators operating within continuous beam-foundation systems, which are integral to the reliable performance of high-speed trains. Using the d-decomposition method combined with the principle of argument, two stabilization models are compared: one incorporating a stabilizer directly attached to the car body and another employing stabilizer attached to the bogies. The findings underscore the advantages of the direct stabilizer connection, as models with car-body-connected stabilizers demonstrate larger stability regions. This configuration allows for substantial variations in stiffness and damping properties with negligible influence on stability dynamics. Conversely, models with bogie-connected stabilizers are more sensitive to parameter changes, particularly in heavier car bodies. By advancing the understanding of stabilization mechanisms in mechanical oscillators, this research contributes to the optimization of railway systems for modern transportation demands. The findings highlight the practical advantages of car-body-connected stabilizers, which offer superior adaptability and consistent stability, highlighting their potential for practical applications in the technical domain.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104497"},"PeriodicalIF":2.3,"publicationDate":"2025-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144831347","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":"Thermodynamic basis for odd matter","authors":"Martin Ostoja-Starzewski","doi":"10.1016/j.mechrescom.2025.104488","DOIUrl":"10.1016/j.mechrescom.2025.104488","url":null,"abstract":"<div><div>Continuum-type constitutive relations of odd matter need to be formulated according to the second law of thermodynamics. Based on the primitive thermodynamics of Edelen (1973-1974), a procedure admitting most general relations, is outlined for heat-conducting fluids and solids. For viscous responses of odd matter, the theory accounts for the irreversible and non-dissipative forces, besides the hyperdissipative ones. For quasi-static responses, the theory grasps the elastic and non-conservative forces besides those derivable from the free energy, this being the realm of Cauchy elasticity beyond hyperelasticity. The obtained constitutive relations satisfy the principle of material frame-indifference and the angular momentum conservation. Two applications of odd fluid mechanics in laminar flow show the velocity fields to be unchanged, with the stress fields altered by the odd viscosity. In Cosserat-type odd matter, primitive thermodynamics also accounts for curvature-torsion and couple-stress besides, respectively, deformation and force-stress tensors. In both, classical and micropolar cases, the theory grasps all possible couplings between the thermodynamic velocity and force vectors, along with a full range of anisotropies of hyperdissipative and hyperelastic responses (both linear and nonlinear).</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104488"},"PeriodicalIF":2.3,"publicationDate":"2025-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144864582","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}
Donghyuk Cho , Hassan Ghassemi-Armaki , Blair E. Carlson , Dong Ruan , Jeong Whan Yoon
{"title":"Micro-scale shear testing for localized constitutive characterization of Al-Steel resistance spot weld under large deformation","authors":"Donghyuk Cho , Hassan Ghassemi-Armaki , Blair E. Carlson , Dong Ruan , Jeong Whan Yoon","doi":"10.1016/j.mechrescom.2025.104495","DOIUrl":"10.1016/j.mechrescom.2025.104495","url":null,"abstract":"<div><div>This study presents a methodology for characterizing local constitutive properties in Al-Steel resistance spot weld through micro-scale shear testing, focusing on capturing localized mechanical behavior under large deformation. Although conventional methods such as hardness testing and nano-indentation can capture these gradients to some extent, they are limited in directly measuring the full local stress–strain response, especially under large deformation. While micro-scale tensile testing has been used for localized property evaluation, strain localization severely limits the measurable deformation range, restricting its applicability in characterizing hardening behavior at large strains. To overcome these limitations, micro-scale shear tests combined with micro-Digital Image Correlation (μDIC) were employed, enabling stress-strain characterization at significantly larger deformations. Due to the highly localized nature of the analysis, strain field irregularities arise from the limited number of grains within the region of interest. This study introduces a μDIC data processing method to mitigate these effects for constitutive modeling. Furthermore, shear testing provides access to strain regimes beyond the limits of tensile tests, reducing uncertainties in hardening modeling under large deformations. The results reveal distinct hardening behaviors across different weld regions that could not be captured only by tensile testing.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104495"},"PeriodicalIF":2.3,"publicationDate":"2025-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144810375","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":"Field fluctuations elasto-plastic self-consistent crystal plasticity: Applications to predict texture evolution during rolling, recrystallization, and drawing processes","authors":"Zhangxi Feng, Marko Knezevic","doi":"10.1016/j.mechrescom.2025.104489","DOIUrl":"10.1016/j.mechrescom.2025.104489","url":null,"abstract":"<div><div>This paper advances a mean field elasto-plastic self-consistent (EPSC) model to a higher-order model, calculating the second moments of lattice rotation rates and resulting intragranular misorientation spreads, based on the second moments of stress fields inside grains. The novel formulation is named field fluctuations (FF)-EPSC. The calculated intragranular misorientation spreads are used to conceive a grain fragmentation model to improve the predictions of deformation texture evolution and a recrystallization model to enable the predictions of recrystallization texture evolution, by modeling transition-bands and grain boundary nucleation mechanisms along with stored energy to govern recrystallized grain growth. The FF-EPSC incorporates a dislocation density-based hardening law for the evolution of slip resistance and a backstress law to influence the activation of slip systems. Simulations of tension followed by static recrystallization of an aluminum alloy (AA) 5182-O and rolling followed by static recrystallization of an interstitial-free steel were used to benchmark the accuracy of the model. Remarkably, the model predicted recrystallization textures after predicting the deformation textures while revealing the tradeoffs between transition-bands and grain boundary nucleation mechanisms. Moreover, predicted intragranular misorientation spreads after tension of AA5182-O agreed well with the corresponding measurements. The FF-EPSC model was further integrated in the implicit finite element (FE) method as a user material subroutine in Abaqus to facilitate predicting geometrical shape changes under complex boundary conditions with every integration point embedding the FF-EPSC constitutive law. The FE-FF-EPSC model was applied to simulate the sequence of processes involving rolling, recrystallization, and deep-drawing of an AA6022-T4 cylindrical cup.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104489"},"PeriodicalIF":2.3,"publicationDate":"2025-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144780157","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}