Mechanics Research Communications最新文献

{"title":"Multifield elastic-plastic micropolar framework for alternating-chirality layered metamaterials","authors":"Andrea Bacigalupo,&nbsp;Paolo Badino,&nbsp;Luigi Gambarotta","doi":"10.1016/j.mechrescom.2025.104582","DOIUrl":"10.1016/j.mechrescom.2025.104582","url":null,"abstract":"<div><div>This paper investigates a novel class of layered mechanical metamaterials composed of planar lattices with alternating chiral topologies. Each layer features circular disks connected by elastic ligaments, while interlayer frictional contacts enable controlled energy dissipation through relative rotations. The structure exhibits a hysteretic, bilinear force–displacement response and is fully resettable, making it suitable for reusable energy absorption applications. Relying on enhanced continualization frameworks, the authors develop a nonlinear multi-field micropolar model that captures both average and relative motions. A finite element formulation is introduced, incorporating frictional constraints and plastic admissibility with linear kinematic hardening. The resulting model efficiently simulates the global hysteretic behaviour of the metamaterial. Numerical analyses reveal strong energy dissipation under normal loading and limited absorption under shear, accompanied by a transition to auxetic behaviour in the plastic regime. This study offers new insights into the design of programmable, energy-dissipating microstructured meta-devices.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"151 ","pages":"Article 104582"},"PeriodicalIF":2.3,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884729","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":"Nonlinear wave propagation in granular media at shallow depths","authors":"Nathaniel J. Fuller","doi":"10.1016/j.mechrescom.2025.104604","DOIUrl":"10.1016/j.mechrescom.2025.104604","url":null,"abstract":"<div><div>A closed form solution is derived for plane waves traveling through an irregular granular material with damping. A one-dimensional chain of grains with a Hertz contact force is first solved to introduce the overall mathematical approach, leading to a set of equations very similar to the purely nonlinear FPUT chain. A closed form solitary wave solution is found and shows good agreement with numerical solutions in the one-dimensional chain. This is then generalized to an irregular three-dimensional lattice of grains. The resulting wave solution is used to study the attenuation of sound through the medium, and it is shown that the attenuation follows an algebraic decay with distance. This is in contrast to the exponential decay that would be produced from the damped linear wave equation. This is compared with numerical simulations that show an identical algebraic decay; highlighting the importance of nonlinear effects in sound propagation through soils and other granular media.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"151 ","pages":"Article 104604"},"PeriodicalIF":2.3,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145738321","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":"Probabilistic analysis of the effects of uncertainty in the material anisotropy and yield surface shape on the geometry of deep-drawn cup","authors":"Benoit Revil-Baudard,&nbsp;Oana Cazacu","doi":"10.1016/j.mechrescom.2025.104606","DOIUrl":"10.1016/j.mechrescom.2025.104606","url":null,"abstract":"<div><div>Deep drawing of sheet metals is a highly nonlinear process, the anisotropy in plastic properties significantly affects part quality, leading to non-uniform cup height. While recent studies have reported uncertainty quantification (UQ) analyses of the effects of friction and strain hardening exponent on the final geometry, the influence of experimental uncertainties in plastic anisotropy remain unexplored. Moreover, for most materials, only tests in 3 orientations are readily available However, it was demonstrated that there are multiple orthotropic yield functions that can match exactly these data, hence there is uncertainty related to the yield surface shape. The effects of uncertainties related to yield surface shape on the drawn part have not been studied. This work addresses these gaps by employing the Cazacu (2018) orthotropic yield function for which the anisotropy coefficients can be obtained analytically using Lankford coefficients along three directions while accommodating various yield surface shapes through different values assigned to an additional parameter α. In particular, for α=0, it reduces to Hill (1948)’s orthotropic yield function. The UQ methodology presented in this paper involves deterministic FE simulations using Cazacu (2018) criterion, surrogate modeling with active learning, and Monte-Carlo simulations. Application of the proposed approach is presented for aluminum AA 6016-T4. The results highlight the sensitivity of ear amplitude and average cup height to both experimental variability and the yield surface shape. It is shown that for 0&lt;α&lt;3, the uncertainty on the average cup height is about five times smaller than the experimental uncertainty in the three Lankford coefficients. Moreover, the experimental average height and earing profile amplitude are both inside the 99.99% confidence interval. If the UQ analysis is performed imposing <span><math><mrow><mi>α</mi><mo>=</mo><mn>0</mn></mrow></math></span>, to recover Hill (1948)’s criterion, the experimental cup geometry characteristics fall outside of the 99.99% confidence interval. These results demonstrate the benefits of using a versatile non-quadratic orthotropic yield function with few anisotropy parameters that can be obtained analytically.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"151 ","pages":"Article 104606"},"PeriodicalIF":2.3,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145841153","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 random nonlinear vibration of functionally graded carbon-nanotube reinforced composite microbeams using modified couple stress theory","authors":"Van-Hieu Dang,&nbsp;Nhu-Hieu Nguyen","doi":"10.1016/j.mechrescom.2025.104605","DOIUrl":"10.1016/j.mechrescom.2025.104605","url":null,"abstract":"<div><div>This study explores the nonlinear stochastic vibration behavior of functionally graded carbon-nanotube reinforced composite (FG-CNTRC) microbeams on a viscous foundation, formulated under the modified couple stress theory with Euler–Bernoulli beam assumptions. The material properties vary through the thickness according to specified CNT gradation laws, and effective stiffness scales with CNT volume fraction. Four different patterns of CNT distributions are considered uniform distribution (UD), functionally graded - O‑type (FG-O), functionally graded - X‑type (FG-X) and functionally graded - V‑type (FG-V). We derive the governing stochastic nonlinear motion equation incorporating geometric nonlinearity and size effects. A novel regulated equivalent linearization approach is employed to linearize the nonlinear restoring forces successively while preserving higher-order statistical moments, using an iterative self-consistent scheme to compute effective linear parameters. From this model, we compute mean-square displacement responses and carry out an extensive numerical parametric study: assessing the effects of material length-scale ratio, CNT content and distribution (UD, FG-O, FG-X, FG-V), excitation intensity, load-position, foundation damping and stiffness, and boundary conditions. Our results indicate the regulated equivalent linearization method yields more accurate predictions than classical linearization in moderate nonlinearity regimes. They also show that at the microscale, both size effects and foundation damping significantly modulate vibration amplitudes, and that CNT gradation pattern (especially those placing reinforcement where bending stresses are highest) strongly affects robustness of the response.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"151 ","pages":"Article 104605"},"PeriodicalIF":2.3,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145791987","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":"Mechanical-electric response characteristics of 2–2 UHPC based piezoelectric composite under impact loading","authors":"Haiwei Dong ,&nbsp;Yi Li ,&nbsp;Aiguo Jin ,&nbsp;Heng Yang ,&nbsp;Jiangying Chen","doi":"10.1016/j.mechrescom.2025.104579","DOIUrl":"10.1016/j.mechrescom.2025.104579","url":null,"abstract":"<div><div>In order to study the mechanical-electric response characteristics of 2–2 UHPC-based (Ultra-High Performance Concrete) PZT-5H and PZT-4D piezoelectric composites under impact loading, the Split Hopkinson Pressure Bar (SHPB) experimental setup, combining the ultra-high-speed photography testing and synchronized piezoelectric signal acquisition system, is employed to conduct uniaxial compression tests at different strain rates. We corrected the specimen strain using Digital Image Correlation (DIC) technology to ensure test accuracy. The study reveals that 2–2 UHPC-based piezoelectric composites are strain-rate-sensitive materials. The failure mode of specimen can be simply divided into \"slight crack\" and \"crushing\". The dynamic sensitivity of the piezoelectric composites exhibits a nonlinear threshold in the mechanical-electric response. When the impact stress is below the threshold of 225 MPa, the dynamic sensitivities of PZT-5H and PZT-4D piezoelectric composites are 225.5 pC/N and 409.7 pC/N, respectively. When the impact stress exceeds the threshold, the output charge of the specimens decreases with increasing impact stress. Finally, the nonlinear dynamic sensitivity equation is obtained by fitting the stress charge relationship curve of piezoelectric composites.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"151 ","pages":"Article 104579"},"PeriodicalIF":2.3,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145791984","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":"Anti-localization of non-stationary quasi-waves in a strongly nonlinear β-FPUT chain","authors":"S.N. Gavrilov ,&nbsp;E.V. Shishkina ,&nbsp;B.S. Borisenkov","doi":"10.1016/j.mechrescom.2025.104591","DOIUrl":"10.1016/j.mechrescom.2025.104591","url":null,"abstract":"<div><div>Recently, a new general wave phenomenon, namely “the anti-localization of non-stationary linear waves,” has been introduced and discussed (Shishkina et al., J. Sound. Vib. 553, 2023, 117673). This is zeroing of the propagating component for a non-stationary wave-field near a defect in infinitely long wave-guides. The phenomenon is known to be observed in both continuum and discrete mechanical systems with a defect, provided that the frequency spectrum for the corresponding homogeneous system includes a stop-band. In this paper, we show that the anti-localization is also quite common for nonlinear systems. To demonstrate this, we numerically solve several non-stationary problems for an infinite strongly nonlinear <span><math><mi>β</mi></math></span>-FPUT chain with a defect. In our opinion, the anti-localization essentially influences the processes of heat transfer in linear and nonlinear lattices.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"151 ","pages":"Article 104591"},"PeriodicalIF":2.3,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145694924","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":"Three-point bending of the rail with consideration of the shear effect – Analytical study","authors":"Krzysztof Magnucki ,&nbsp;Ewa Magnucka-Blandzi ,&nbsp;Dawid Witkowski ,&nbsp;Joanna Kustosz","doi":"10.1016/j.mechrescom.2025.104590","DOIUrl":"10.1016/j.mechrescom.2025.104590","url":null,"abstract":"<div><div>This paper focuses on the analysis of a clamped rail (UIC 60) subjected to three point bending. The shape of the rail’s cross section is approximately analytically described. An analytical model of the rail, with consideration of the individual nonlinear shear deformation theory, is elaborated, and the dimensionless deformation function of its planar cross section is determined. Based on the principle of stationary total potential energy, two equilibrium differential equations are formulated. These equations are then solved analytically, and the dimensionless shear coefficient, the deflection of the clamped rail and resulting stresses are calculated.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"151 ","pages":"Article 104590"},"PeriodicalIF":2.3,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145791986","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":"Vibrational characteristics of porous functionally graded rectangular plates","authors":"Yousef S. Al Rjoub,&nbsp;Zaid M. Al-Qutami","doi":"10.1016/j.mechrescom.2025.104588","DOIUrl":"10.1016/j.mechrescom.2025.104588","url":null,"abstract":"<div><div>This study presents a comprehensive analytical solution for the free vibration analysis of functionally graded porous rectangular plates under various boundary conditions. The material properties of the plates are described using a power-law function, taking into account both even and uneven distributions of pores. To derive the equations of motion for the functionally graded Levy-type plates, Hamilton's principle is employed. The state space method is then utilized to solve these equations, enabling the determination of natural frequencies. A detailed parametric study is conducted to investigate the effects of several key parameters, including aspect ratio, side-to-thickness ratio, volume fraction index, boundary conditions, and porosity distribution, on the natural frequencies of the plates. The results reveal that the type of pore distribution has a significant impact on the natural frequencies of the plates. Furthermore, the findings of this study demonstrate excellent agreement with existing analytical results available in the literature, validating the accuracy of the proposed solution.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"151 ","pages":"Article 104588"},"PeriodicalIF":2.3,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145738320","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":"Addendum to “On the extreme stiffness of degenerate Duffing oscillator: A feature overlooked by Ueda” —Ultra-long simulation & transition from chaos to periodic motion","authors":"Sergey V. Kuznetsov","doi":"10.1016/j.mechrescom.2025.104601","DOIUrl":"10.1016/j.mechrescom.2025.104601","url":null,"abstract":"<div><div>This work extends the previous paper, “On the Extreme Stiffness of the Degenerate Duffing Oscillator: A Feature Overlooked by Ueda.” In the present study, a gradual decrease in the amplitude of the continuous spectrum component is observed with increasing simulation duration—apparently for the first time. Meanwhile, the discrete part of the spectrum, invariant to simulation time, consists solely of superharmonic frequencies that are integer multiples of the base frequency. As the simulation progresses, the initially chaotic oscillations are progressively suppressed, giving rise to a multi-periodic regime. The analysis is based on simulations conducted over ultra-long time intervals (&gt;10⁷).</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"151 ","pages":"Article 104601"},"PeriodicalIF":2.3,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145738322","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":"Data-driven regression with VIF-based feature selection for cable tension estimation","authors":"Tran Nguyen Thanh Tam,&nbsp;Thanh Q. Nguyen,&nbsp;Phuoc T. Nguyen","doi":"10.1016/j.mechrescom.2025.104581","DOIUrl":"10.1016/j.mechrescom.2025.104581","url":null,"abstract":"<div><div>Accurate and interpretable cable tension estimation is a critical component of structural health monitoring (SHM) systems for cable-stayed bridges. While deep learning and regularized regression techniques have achieved high accuracy in previous studies, their reliance on large-scale sensor networks and opaque model structures limits their practical deployment and interpretability. This study asks whether cable strand-averaged forces (MLC1–MLC8) can be estimated from indirect, readily available sensing (resonant frequency, stress/strain aggregates, temperature, humidity, wind) using an interpretable multivariate linear regression screened by variance-inflation factors (VIF). On a real bridge dataset (9004 time steps; 442 channels), iterative VIF elimination (cut-off 20) yields a compact predictor set of ≈150 variables and preserves high out-of-sample accuracy (R²≈0.97), while remaining robust to sensor dropouts and missing data. The result is an operationally transparent virtual-sensing surrogate that reduces dependence on any single instrument class and lowers computational/maintenance burden relative to latent-factor or deep models. Comparative analysis with state-of-the-art approaches—including Elastic Net, Partial Least Squares Regression (PLS), and convolutional neural networks (CNNs)—demonstrates that the proposed MLR + VIF model not only achieves competitive accuracy but also offers superior interpretability, lower computational cost, and greater robustness to sensor faults and missing data. This study highlights the potential of VIF-guided linear modeling as a scalable and explainable alternative to complex black-box models, offering a practical solution for real-time SHM applications where transparency, resource efficiency, and reliability are essential.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"151 ","pages":"Article 104581"},"PeriodicalIF":2.3,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145694923","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}