International Journal of Non-Linear Mechanics最新文献

{"title":"Modeling dynamics of traffic flow, information creation and spread through vehicle-to-vehicle communications: A kinetic approach","authors":"Shoufeng Lu","doi":"10.1016/j.ijnonlinmec.2025.105096","DOIUrl":"10.1016/j.ijnonlinmec.2025.105096","url":null,"abstract":"<div><div>Vehicle-to-vehicle (V2V) communication technology enables the information exchange between vehicles. This connectivity presents significant challenges for traffic flow modeling, as it requires a framework that captures the dynamics of not only vehicle movement, but also information creation and spread. The conventional speed distribution function is extended to incorporate an information state variable alongside time, location, and speed. In addition, a communication success probability is formulated that accounts for the communication range and vehicle density. Information is created based on variations in the minimum speed between all vehicles. Under the framework of kinetic theory for active particles, the evolution equations governing these multiple dynamics are derived to elucidate the interactions between traffic flow, information creation, and spread. The proposed kinetic model facilitates the simulation and evaluation of V2V communication-based applications, thereby enhancing the understanding of overall system behavior. Two numerical experiments, collaborative deceleration and variable speed limits based on V2V communication, are computed to validate the proposed kinetic model.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"175 ","pages":"Article 105096"},"PeriodicalIF":2.8,"publicationDate":"2025-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143748027","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Modelling the finite deformation of thermoplastic polymers via hyperinelasticity. Part I: A semi-crystalline polymer under varying crystallinity ratios and deformation rates","authors":"Afshin Anssari-Benam ,&nbsp;Fahmi Zaïri","doi":"10.1016/j.ijnonlinmec.2025.105091","DOIUrl":"10.1016/j.ijnonlinmec.2025.105091","url":null,"abstract":"<div><div>The aim of this two-part paper series is to present the application of a new modelling approach, namely <em>hyperinelasticity</em>, to the large elastic and inelastic deformation behaviours of thermoplastic polymers. In this first contribution, namely Part I, we are concerned with modelling the large deformation of semi-crystalline polymers, by way of considering Polyethylene (PE) specimens. The deformation behaviour of PE samples under uniaxial tensile deformation with various crystallinity ratios and under different deformation rates is modelled. A <em>core</em> deformation energy function <span><math><mi>W</mi></math></span> will be utilised, as a function of the first <span><math><mfenced><mrow><msub><mrow><mi>I</mi></mrow><mrow><mn>1</mn></mrow></msub></mrow></mfenced></math></span> and second <span><math><mfenced><mrow><msub><mrow><mi>I</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow></mfenced></math></span> principal invariants of the Cauchy–Green deformation tensor(s). This core function will then be <em>augmented</em> to incorporate the additional inelasticity-inducing factors of crystallinity ratio and the rate of deformation. The general theoretical framework for this incorporation is underpinned, and specific appropriate measures of those inelasticity-inducing factors will be defined and devised, incorporated into the core model. The ensuing augmented model is then fitted with the experimental data, showing favourable affinity and modelling results. Using the calibrated model, <em>predictions</em> of the large deformations of the specimens at other ratios/rates will also be made, and verified against the experimental data. The simplicity of the model, its amenability for incorporating additional inelastic effects, and its ability in providing both accurate simulations and predictions of the elastic and inelastic behaviours of the samples concludes its versatility and usefulness for application to the finite strains of semi-crystalline polymers. Part II will investigate and present the specialised application of the same modelling approach to the elastic and inelastic behaviours of amorphous polymers.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"175 ","pages":"Article 105091"},"PeriodicalIF":2.8,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143834015","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"An asymptotic model of vibroadhesion","authors":"I. Argatov ,&nbsp;A. Papangelo ,&nbsp;M. Ciavarella","doi":"10.1016/j.ijnonlinmec.2025.105089","DOIUrl":"10.1016/j.ijnonlinmec.2025.105089","url":null,"abstract":"<div><div>A compliantly fixed hemispherical indenter in adhesive contact with an elastic sample firmly bonded to a rigid base is considered under the assumption that the rigid base undergoes small-amplitude high-frequency normal (vertical) oscillations. A general law of the rate-dependent JKR-type adhesion is assumed, which relates the work of adhesion to the contact front velocity. Using the Bogoliubov averaging approach in combination with the method of harmonic balance, the leading-order asymptotic model is constructed for steady-state vibrations. The effective work of adhesion is evaluated in implicit form. A quasi-static approximation for the pull-off force is derived. The case of rigid fixation of the indenter is considered in detail.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"174 ","pages":"Article 105089"},"PeriodicalIF":2.8,"publicationDate":"2025-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143697666","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Material-dependent relations for magneto-active solids undergoing shear and triaxial extension","authors":"Deepak Kumar","doi":"10.1016/j.ijnonlinmec.2025.105090","DOIUrl":"10.1016/j.ijnonlinmec.2025.105090","url":null,"abstract":"<div><div>This article addresses the problem of an isotropic, nonlinear elastic, incompressible magneto-active solid cube undergoing homogeneous deformation due to shear and triaxial extension, with no normal tractions applied. The novel material-dependent relations are established for this deformation, valid for all incompressible magneto-active solids. The considered cube generally undergoes dimensional changes due to shear deformation and the Poynting effect with no magnetic fields. The purpose of this study is to examine the impact of magnetic fields on these dimensional changes, developing the constitutive equations for nonlinear magneto-active solids. Expressions for the dimensional changes are derived as functions of shear and triaxial extension, accounting for different orientations of the magnetic field vectors relative to the shearing direction. Existing universal relations with no magnetic field validate the developed relations.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"175 ","pages":"Article 105090"},"PeriodicalIF":2.8,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143681454","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Magneto-viscoelastic laminates in finite shear","authors":"Matteo Ruggieri ,&nbsp;Jacopo Ciambella ,&nbsp;Giuseppe Tomassetti ,&nbsp;Stephan Rudykh","doi":"10.1016/j.ijnonlinmec.2025.105085","DOIUrl":"10.1016/j.ijnonlinmec.2025.105085","url":null,"abstract":"<div><div>This paper presents a comprehensive theoretical framework for modeling magneto-viscoelastic laminates (MVLs) under both finite and infinitesimal strains. The laminate-based approach preserves explicit information about the material’s internal structure through the orientation of layers, providing a direct link between microstructural architecture and macroscopic properties. By explicitly considering two distinct viscoelastic phases within the laminate, each with its own internal variable and relaxation time, our model captures the complex dynamic behavior observed in experimental studies. The governing equations are first derived for homogeneous strains, and then specialized to both finite and infinitesimal shearing deformation.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"175 ","pages":"Article 105085"},"PeriodicalIF":2.8,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143716108","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 responses of anchored cemented gangue backfill materials subjected to static-dynamic combined loads","authors":"Xinxin Nie ,&nbsp;Qian Yin ,&nbsp;Zhigang Tao ,&nbsp;Manchao He ,&nbsp;Jiangyu Wu ,&nbsp;Gang Wang ,&nbsp;Wenhua Zha ,&nbsp;Liangfu Xie ,&nbsp;Yuanchao Zhang","doi":"10.1016/j.ijnonlinmec.2025.105093","DOIUrl":"10.1016/j.ijnonlinmec.2025.105093","url":null,"abstract":"<div><div>The utilization of waste gangue concomitant with coal mining to construct roadway support structures embodies an advanced concept of resource recycling. However, these structures are inevitably subjected to continuous disturbances of static-dynamic combined loads during service life. This research explores the mechanical responses and reinforcement mechanisms of anchored cemented gangue backfill materials (CGBM) under static-dynamic combined loads. The fractal grading theory was introduced to control particle size distribution of aggregates, and the anchored cemented gangue backfill samples (CGBS) were casted by cementitious materials and waste gangue. Then, the static-dynamic combined loading tests regarding various pre-static loads (<em>P</em>_s), dynamic load amplitudes (<em>P</em>_d) and pre-tightening forces (<em>P</em>_t) were conducted. The results reveal that the mechanical properties, bolt axial force evolution, AE responses and failure modes of anchored CGBS exhibit marked differences. The peak stress of anchored CGBS decreases progressively with increasing <em>P</em>_s and <em>P</em>_d, while it initially increases and then decreases with increasing <em>P</em>_t. During dynamic loading, the irreversible strain exhibits an “accelerate-constant” increasing pattern, with corresponding hysteresis curves transitioning from “sparse-dense” characteristics. During dynamic loading, the expansion deformation induced by loading decreases, while the recoverable expansion deformation during unloading increases, resulting in a gradual decay of the upper and lower limit stresses of the bolt axial force. Stress concentration near the bolt hole region alters the stress transfer path, promoting the formation of shear failure surfaces. As the degradation effects of dynamic loading intensify, the ultimate failure mode transitions from inclined shear failure to conjugate shear failure penetrating the bolt hole. The findings offer a scientific foundation for coal gangue recycling and theoretical guidance for enhancing anchoring parameters and evaluating long-term stability of support structures along gob-side entry.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"175 ","pages":"Article 105093"},"PeriodicalIF":2.8,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143698094","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Friction modeling and parameter identification for ultra-low-speed lifting motion of single-crystal silicon","authors":"Lingxia Mu ,&nbsp;Xielong Zhang ,&nbsp;Pengju Zhang ,&nbsp;Shihai Wu ,&nbsp;Nan Feng ,&nbsp;Youmin Zhang","doi":"10.1016/j.ijnonlinmec.2025.105081","DOIUrl":"10.1016/j.ijnonlinmec.2025.105081","url":null,"abstract":"<div><div>In the Czochralski crystal growth process, a single-crystal silicon (SCS) ingot is pulled and rotated at an ultra-low speed during the entire process, which lasts around a hundred hours per batch. However, nonlinear friction disturbances can lead to speed jitter and creeping phenomena of an SCS lifting servo system, which can further affect the produced SCS’s quality. The classical LuGre friction model considers only the speed factor and, thus, cannot fully describe the friction characteristics of a complex SCS lifting servo system. To address this limitation, this paper proposes an improved LuGre friction model that considers the effects of weight variations and rotation of an SCS ingot. In addition, a parameter identification method is developed to estimate the friction model’s parameters. To overcome the problems in traditional optimization algorithms of easy falling into a local optimum and a slow convergence speed in multi-dimensional parameter space, this study divides the parameter identification into two stages: static and dynamic stages. Particularly, in the dynamic stage, an improved particle swarm optimization algorithm, which adopts a chaotic mapping and inertia weight nonlinear change strategy, is employed to improve the precision and convergence rate of the optimization process. The results of the experiments on an SCS lifting servo system demonstrate the high efficiency of the proposed method.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"175 ","pages":"Article 105081"},"PeriodicalIF":2.8,"publicationDate":"2025-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143681455","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Geometrically nonlinear analytic solution for circular liquid inclusions in a soft elastic solid","authors":"Cheng Huang ,&nbsp;Molin Sun ,&nbsp;Ming Dai","doi":"10.1016/j.ijnonlinmec.2025.105094","DOIUrl":"10.1016/j.ijnonlinmec.2025.105094","url":null,"abstract":"<div><div>We re-examine the plane deformation of a compressible circular liquid inclusion embedded within an elastic, saturated solid matrix under uniform far-field loading. In contrast to the classical solution for this problem which predicts only a linear elastic response of the composite system to the far-field loading, we identify a modified but still closed-form solution allowing for a nonlinear response to the far-field loading. The modified solution differs from its classical counterpart mainly in that it additionally captures the directional change of the liquid pressure when the liquid-solid interface is deformed with the far-field loading. In this case, the modified solution offers a possibility of characterizing, to some extent, the geometrically nonlinear behavior of a soft elastic solid filled with liquid inclusions under relatively large external loadings. Numerical examples are presented to demonstrate the essential improvements brought by the modified solution as opposed to the classical solution in predicting the local stress field and the overall effective moduli of the homogenized liquid-solid composite materials. Since the overall framework of the modified solution is still confined to linear elasticity, however, it inevitably has some limitations in applications: it works well only for a weakly nonlinear soft matrix under moderate far-field tensile strain (for example, up to around 14 %), although it fails basically for a soft matrix under compression loadings.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"174 ","pages":"Article 105094"},"PeriodicalIF":2.8,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143684757","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"The Riemann problem and interaction of waves for the isentropic flow in a collapsed ductwork","authors":"Fan Wang,&nbsp;Qinglong Zhang","doi":"10.1016/j.ijnonlinmec.2025.105080","DOIUrl":"10.1016/j.ijnonlinmec.2025.105080","url":null,"abstract":"<div><div>In this paper, we investigate the Riemann problem and interaction of elementary waves for the isentropic flow along a collapsed duct. Different with the case we have studied previously (Sheng and Zhang, 2018), the duct we consider here have both a contracting portion and an expanding portion. We have to solve the initial value problem with three piecewise constant data with the cross section area jumping twice. The main difficulty is to solve the interaction of shock wave (rarefaction wave) with the stationary wave from both contracting side and expanding side. We deal with this problem by first discuss the interaction of waves with the stationary wave from contracting side. We then classify the whole interactions on and apart from the two stationary waves. The large time behaviors are also given in each case. Numerical simulations are given to verify our analysis.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"175 ","pages":"Article 105080"},"PeriodicalIF":2.8,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143681456","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Structural partitioning for parallel construction of geometric nonlinear reduced-order models","authors":"Tuan Anh Bui ,&nbsp;Junyoung Park ,&nbsp;Jun-Sik Kim","doi":"10.1016/j.ijnonlinmec.2025.105092","DOIUrl":"10.1016/j.ijnonlinmec.2025.105092","url":null,"abstract":"<div><div>High-fidelity finite element models are widely used to predict the mechanical behavior of structures with complex geometries. While these models provide accurate results, they often require significant computational time, particularly when predicting nonlinear dynamic behavior. To address this, model order reduction techniques have been developed to reduce the computational time. However, constructing non-intrusive reduced-order models from high-fidelity finite element models still requires considerable computational time. This paper proposes a fully parallel process to accelerate the construction of geometrically nonlinear reduced-order models. In this approach, the structure is divided into multiple partitions, each assigned to a separate processor. The reduction basis for each partition ensures displacement consistency at partition interfaces without requiring additional modal coordinates at these interfaces. The parallel process operates without inter-processor communication, making it robust and straightforward to implement. It is compatible with various non-intrusive model order reduction techniques and achieves high computational efficiency. Notably, this approach introduces no additional errors, i.e., the reduced-order model constructed through the parallel process is identical to that obtained via traditional methods.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"175 ","pages":"Article 105092"},"PeriodicalIF":2.8,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143698093","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}