{"title":"Vibrations of 3D four-directional braided composite beams: Comparison of different characterization models","authors":"Yifan Zhu , Yan Qing Wang","doi":"10.1016/j.euromechsol.2025.105724","DOIUrl":"10.1016/j.euromechsol.2025.105724","url":null,"abstract":"<div><div>Three-dimensional (3D) braided composites have widespread applications in the aerospace field, however, researches on 3D braided composite structures remains focused on statics. In this paper, the dynamic model of 3D four-directional braided composite (3D4dBC) beams is proposed. The mechanical characterization models for the 3D4dBC are obtained using the Stiffness Volume Averaging Method (SVAM) with various periodic unit-cell partitioning methods and mechanical property equivalent approaches. Based on the Euler-Bernoulli beam theory, natural frequencies of the 3D4dBC beams are theoretically predicted using the energy method. The validity and accuracy of the dynamic model are verified through experimental studies on 3D4dBC beams. The results indicate that natural frequencies of 3D4dBC beams decrease with increasing braiding angle and decreasing fiber volume fraction. Comparative analysis of various mechanical characterization models shows that the Chamis semi-empirical formula, along with the weighted average model (WAM) provide the best characterization for the mechanical properties of 3D4dBC structures. This model provides a theoretical basis for studying the dynamic behavior of braided composite structures in engineering applications.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"113 ","pages":"Article 105724"},"PeriodicalIF":4.4,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144123581","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Multiphysics modeling of surface diffusion coupled with large deformation in 3D solids","authors":"Seung-Hwan Boo , Jaemin Kim","doi":"10.1016/j.euromechsol.2025.105713","DOIUrl":"10.1016/j.euromechsol.2025.105713","url":null,"abstract":"<div><div>This study presents a comprehensive theoretical and computational model that explores the behavior of a thin hydrated film bonded to a non-hydrated/impermeable soft substrate in the context of surface and bulk elasticity coupled with surface diffusion kinetics. This type of coupling manifests as an integral aspect in diverse engineering processes encountered in optical interference coatings, tissue engineering, soft electronics, and can prove important in the design process for the next generation of sensors and actuators, especially as the focus is shifted to systems in smaller length scales. The intricate interplay between solvent diffusion and deformation of the film is governed by surface poroelasticity, and the viscoelastic deformation of the substrate. While existing methodologies offer tools for studying coupled poroelasticity involving solvent diffusion and network deformation, there exists a gap in understanding how coupled poroelastic processes occurring in a film attached to the boundary of a highly deformable solid can influence its response. In this study, we introduce a non-equilibrium thermodynamics formulation encompassing the multiphysical processes of surface poroelasticity and bulk viscoelasticity, complemented by a corresponding finite element implementation. This study makes significant contributions to solid mechanics and computational modeling by (i) modeling surface diffusion coupled with a viscoelastic substrate, enabling the study of time-dependent responses critical for practical applications, (ii) providing a robust theoretical framework for coupling two materials (film and substrate) with distinct reference (stress-free) states, including a detailed analytical derivation of the initial state, and (iii) efficiently modeling the thin film using a 2D mesh to avoid the need for a fine 3D solid mesh, thus reducing computational costs while maintaining accuracy. This work contributes valuable insights, particularly in scenarios where the coupling of surface diffusion kinetics and substrate elasticity is an important design factor.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"113 ","pages":"Article 105713"},"PeriodicalIF":4.4,"publicationDate":"2025-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144106230","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Victor Lalleman , Pierre Gosselet , Cédric Hubert , Stéphane Salengro , Vincent Magnier
{"title":"Multi-scale friction coefficient: From roughness to system computation using deep learning","authors":"Victor Lalleman , Pierre Gosselet , Cédric Hubert , Stéphane Salengro , Vincent Magnier","doi":"10.1016/j.euromechsol.2025.105708","DOIUrl":"10.1016/j.euromechsol.2025.105708","url":null,"abstract":"<div><div>The presence of surface defects (roughness, surface imperfections, profiles, etc.) in a contact inevitably leads to the modification of its local properties, such as the coefficient of friction. In axle-wheel contact, this surface condition is crucial as it dictates appropriate fatigue design for the final use. However, these local phenomena are not well understood and require a real step back. Therefore, the aim of this paper is to propose a multiscale numerical strategy to better understand these phenomena.</div><div>The multiscale strategy is divided into two steps. Initially, an analysis by the Discrete Element Method (DEM) modelling the interaction of generated rough surfaces is carried out to determine the coefficient of friction. In a second step, the results of DEM are introduced into a structural calculation where the enrichment of the coefficient of friction is done on each finite element contact. Given the wide variety of potential surface defects (size, distribution, height, etc.), a large number of DEM simulations is performed. A specially developed deep learning program is then used to account for these dispersions. The application targeted in this paper is the fitting of a wheel on a railway axle.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"113 ","pages":"Article 105708"},"PeriodicalIF":4.4,"publicationDate":"2025-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144115283","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Research progress on tuned particle dampers: A review of modeling, energy dissipation mechanisms, and applications","authors":"Yunan Zhu, Xiangying Guo, Dongxing Cao","doi":"10.1016/j.euromechsol.2025.105720","DOIUrl":"10.1016/j.euromechsol.2025.105720","url":null,"abstract":"<div><div>Enhancing the damping performance of traditional dynamic vibration absorbers (DVAs), it is an effective solution to incorporate particle damping systems into the design. By integrating particle damping technology with DVAs, the resulting tuned particle damper (TPD) has multiple energy dissipation mechanisms to broaden the vibration suppression bandwidth and improve damping performance. However, due to the complex and highly nonlinear nature of particle system dynamics, as well as the sensitivity of these systems to various parameters, the energy dissipation mechanisms are not yet fully understood. Although there are some applications in engineering fields, experimental methods and techniques still needed further improvement. Thus, conducting systematic and in-depth research on this technology is crucial for promoting the development of TPDs and guiding future research in related fields. This review provides a comprehensive overview of TPD development, focusing on their damping mechanisms and modeling methods. Additionally, it summarizes the energy dissipation mechanisms, structural design optimization strategies, experimental progress, and practical applications of TPDs. Finally, it highlights emerging trends in TPD development and proposes future research directions to address current gaps, aiming to provide valuable references and insights for vibration control in engineering structures.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"113 ","pages":"Article 105720"},"PeriodicalIF":4.4,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144106118","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Xuan Thanh Nguyen , Van Thuong Nguyen , Nguyen Dinh Duc
{"title":"Tilted indentation by a flat-ended punch on an anisotropic magnetoelectroelastic half-plane","authors":"Xuan Thanh Nguyen , Van Thuong Nguyen , Nguyen Dinh Duc","doi":"10.1016/j.euromechsol.2025.105718","DOIUrl":"10.1016/j.euromechsol.2025.105718","url":null,"abstract":"<div><div>We present closed-form solutions for the indentation of a tilted flat-ended punch with an anisotropic magnetoelectroelastic half-plane. The punch is subjected to a load <em>P</em> at an eccentricity <em>e</em> and the electric charge <em>Ε</em> and magnetic charge <em>I</em> at the same time. The analytical solutions are obtained by utilizing the expanded Stroh formalism for magnetoelectroelastic materials alongside the analytical continuation method. By leveraging Stroh's approach, the general solutions to the problems are expressed in terms of complex variable techniques, which facilitate a comprehensive analysis of the coupled mechanical, electrical, and magnetic fields. The analytical continuation method is utilized to address contact boundary conditions introduced by the tilted punch, enabling the derivation of solutions for stress, electric displacement, and magnetic induction within the half-plane. The punch considered here is flat-ended, and the contact is frictionless. Four electric and magnetic contact conditions are examined. The relations between applied load, electric charge, magnetic charge, angle, and eccentricity of punch are presented in closed-form matrix expressions. As to the case of electric and magnetic insulators, the relation will be further simplified and expressed explicitly in a scalar form. We found that the eccentricity limit and tilted angle limit depend complicatedly on the anisotropic MEE material properties for the cases of (1) electric and magnetic conductor, (2) electric insulator and magnetic conductor, and (3) electric conductor and magnetic insulator. For the case of an electric and magnetic insulator, the eccentricity limit is equal to <em>a/</em>2, where <em>a</em> is the half-width of the punch, which is the same as that of isotropic elastic material. To demonstrate the correctness and versatility of our derived solutions, several numerical examples are provided. Based on the results provided, comprehensive parametric studies on the effects of anisotropic material properties and loadings are also studied and discussed.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"113 ","pages":"Article 105718"},"PeriodicalIF":4.4,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144115284","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 on transverse vibration of piezo-electro-magneto-thermoelastic composite nanobeams under distinct Green–Naghdi III phase lag models","authors":"Abhishek Kumar Singh, Rishabh Jaiswal","doi":"10.1016/j.euromechsol.2025.105702","DOIUrl":"10.1016/j.euromechsol.2025.105702","url":null,"abstract":"<div><div>To enhance energy efficiency, sensitivity, frequency stability, and to broaden the application scope of Nano Electro Mechanical Systems (NEMS), analysis of thermoelastic damping (TED) and frequency shift (FS) is essential. This study introduces a mathematical framework to investigate TED and FS in thin piezo-electro-magneto-thermoelastic (PEMT) composite nano-scale beams composed of <span><math><mrow><mi>B</mi><mi>a</mi><mi>T</mi><mi>i</mi><msub><mrow><mi>O</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow></math></span> fibres and a <span><math><mrow><mi>C</mi><mi>o</mi><mi>F</mi><msub><mrow><mi>e</mi></mrow><mrow><mn>2</mn></mrow></msub><msub><mrow><mi>O</mi></mrow><mrow><mn>4</mn></mrow></msub></mrow></math></span> matrix. The Green–Naghdi III Three Phase Lag (TPL), Dual Phase Lag (DPL), and Single Phase Lag (SPL) thermoelastic models have been employed to examine TED and FS for clamped-free (CF), doubly clamped (CC), clamped simply supported (CS), and doubly simply supported (SS) beams. As the length of the beam is comparatively much greater than (ten times to) the thickness, therefore, linear Euler–Bernoulli theory finds its relevance in modelling the problem. The first two eigenvalues of all beams are computed, and the effects of beam dimensions, fibre-to-matrix volume fraction (<span><math><msub><mrow><mi>V</mi></mrow><mrow><mi>f</mi></mrow></msub></math></span>) on TED and FS have been traced out. The key findings are the critical thickness (<span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>) and critical length (<span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>) for the beams, which correspond to the maximum TED and FS, for various volume fractions in the considered G–N III thermoelastic models and four types of composite thin beams. The outcomes of the study may help in tailoring the mechanical, electrical, and magnetic properties of PEMT composite beams and also their dimensions so as to be used in specific applications of precision engineering, resonators, energy harvesting devices, etc.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"113 ","pages":"Article 105702"},"PeriodicalIF":4.4,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144106229","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A review of partial slip solutions for elastic contacts","authors":"B. Eames, D.A. Hills","doi":"10.1016/j.euromechsol.2025.105698","DOIUrl":"10.1016/j.euromechsol.2025.105698","url":null,"abstract":"<div><div>This review classifies contacts into their fundamental classes and provides basic properties of each type of contact. For both complete and incomplete contacts, the conditions for no-slip are identified, and the extent of slip, where it occurs, is determined. Limited data on other classes of contact are also presented. The question of ‘coupling’ – where the application of a normal load also induces interfacial shear, and a shear load modifies the contact pressure distribution – is also discussed. This study aims to provide a cohesive understanding of elastic contacts under partial slip, serving as a foundation for advancing theories and applications in the field.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"113 ","pages":"Article 105698"},"PeriodicalIF":4.4,"publicationDate":"2025-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143934896","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Computationally efficient and noise resilient data-driven mechanics via a continuous data space","authors":"K. Karaca, R.H.J. Peerlings, M.G.D. Geers","doi":"10.1016/j.euromechsol.2025.105697","DOIUrl":"10.1016/j.euromechsol.2025.105697","url":null,"abstract":"<div><div>In this study, a continuous data space driven computational mechanics framework that enhances the original data-driven methodology is presented. The traditional data-driven approach relies on finite, discrete datasets and direct projections between the dataset and the constraint space dictated by the problem settings. The use of a discrete dataset entails accuracy problems as the dataset is inherently subject to noise and outliers. Moreover, finding the optimal datapoint in the dataset is computationally demanding especially for large sized datasets and geometrically higher dimensional problems. The proposed framework addresses these limitations by leveraging a continuous data space constructed via Gaussian mixture modeling to replace the discrete dataset. The continuous data space can be interpreted as a data density field that can be used to assess the likelihood of a point capturing the underlying material behavior. Hence the effect of noise and outlier on the solution accuracy is reduced. By eliminating search queries in the discrete dataset, the computational cost is significantly reduced as well. Moreover, the data-to-constraint space projection is conducted efficiently via a search direction deduced from the continuous data space. Numerical experiments demonstrate the capability of the framework to enhance accuracy and computational efficiency.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"113 ","pages":"Article 105697"},"PeriodicalIF":4.4,"publicationDate":"2025-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144071430","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Milad Shabani Yousefabad, Morteza Homayoun Sadeghi, Mir Mohammad Ettefagh
{"title":"Vibration analysis of fixed-fixed prestressed beam using Tau and experimental methods","authors":"Milad Shabani Yousefabad, Morteza Homayoun Sadeghi, Mir Mohammad Ettefagh","doi":"10.1016/j.euromechsol.2025.105717","DOIUrl":"10.1016/j.euromechsol.2025.105717","url":null,"abstract":"<div><div>In this paper, numerical Tau method using Legendre and Chebyshev polynomial bases is proposed to extract the natural frequencies of fixed-fixed prestressed beams. To this end, the necessary formulations for the prestressed beam and the numerical Tau method are first established. A beam without tension is then tested to update the model parameters, with data acquisition performed using piezoelectric sensors and a laser vibrometer to extract its natural frequencies through experimental modal analysis. Additionally, by averaging the signal from the strain gauge installed on the beam, the initial strain in the model equations is estimated. To verify the accuracy of the results obtained using the numerical Tau method for different tensile forces, the beam is tested on a tensile testing machine. The natural frequencies are extracted for each tensile force, and the results are compared with those obtained from the numerical Tau method. These comparisons show an increase in natural frequencies as tensile forces increase. Moreover, the difference between the numerical and experimental results decreases significantly as the order of estimation in the functions increases. The frequency response functions of accelerance and mobility for different tonnages indicate a change and increase in frequency with increasing force, while the frequency amplitudes do not follow a specific pattern.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"113 ","pages":"Article 105717"},"PeriodicalIF":4.4,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143928623","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Surface and nonlocal effects in piezoelectric nanobeams","authors":"Rosa Penna, Giuseppe Lovisi","doi":"10.1016/j.euromechsol.2025.105715","DOIUrl":"10.1016/j.euromechsol.2025.105715","url":null,"abstract":"<div><div>This study investigates the electromechanical behavior of piezoelectric nanobeams using a nonlocal surface stress-driven elasticity model. The governing equations are derived through Hamilton's principle. The effects of the nonlocal parameter, external electric voltage and surface energy on the static and dynamic responses of Simply-Supported and Clamped-Clamped piezoelectric nanobeams are analyzed and discussed. The findings demonstrate how the proposed approach can aid in the development of advanced devices based on modern piezoelectric nanobeams.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"113 ","pages":"Article 105715"},"PeriodicalIF":4.4,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144069211","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}