International Journal of Non-Linear Mechanics最新文献

{"title":"Nonlinear behaviors of graphene platelets-reinforced metal foam interconnected composite shells under low-velocity impact","authors":"Yanchang Zheng ,&nbsp;Yi Liu ,&nbsp;Ye Tang","doi":"10.1016/j.ijnonlinmec.2025.105214","DOIUrl":"10.1016/j.ijnonlinmec.2025.105214","url":null,"abstract":"<div><div>This paper analyzes the nonlinear low-velocity impact behavior of graphene platelet-reinforced metal foam (GPLRMF) interconnected composite shells. The Rayleigh-Ritz method obtains accurate modal functions, while the nonlinear equations of motion are established using Hamilton's principle. The time history analysis of the GPLRMF shell system is performed numerically using the Galerkin method in conjunction with the fourth-order Runge-Kutta technique. The Hertz contact force model is applied to evaluate the contact force acting on the shell and the impactor, capturing the system's nonlinear characteristics. The study also thoroughly discusses key factors affecting the low-velocity impact response, including the GPLRMF distribution pattern, foam distribution characteristics, foam coefficients, GPLRMF mass fraction, impactor radius, initial velocity, and damping coefficient. This work proposes a novel analysis for interconnected shells acted by the impact and may provide a reference for the dynamic design of interconnected composite shells in the aerospace industry.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105214"},"PeriodicalIF":2.8,"publicationDate":"2025-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144685462","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":"Programmable mechanical metamaterials based on gear structures","authors":"Shuai Mo ,&nbsp;Zurui Huang ,&nbsp;Yiheng Liu ,&nbsp;Haruo Houjoh ,&nbsp;Wei Zhang","doi":"10.1016/j.ijnonlinmec.2025.105213","DOIUrl":"10.1016/j.ijnonlinmec.2025.105213","url":null,"abstract":"<div><div>The use of intelligent materials is anticipated in various fields such as medicine, science, and the military. In this context, the development of programmable metamaterials with in-situ continuously adjustable mechanical properties holds significant importance for the advancement of smart materials. Here we propose a novel approach to constructing mechanical metamaterials using gears as the fundamental building blocks. The gear-based metamaterials we introduce is a multi-stable structure that allows for seamless transitions between stable states by engaging the gear teeth. This unique feature enables the metamaterials to possess in situ continuously adjustable mechanical properties, including a wide range of compressive Young's modulus, variable generalized shear stiffness, and tunable dynamic characteristics of the system, and both simulations and experiments are used to validate the metamaterial designs. These unique properties of gear-based metamaterials offer a novel path to creating programmable metamaterials with in situ continuously tunable mechanical properties.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105213"},"PeriodicalIF":2.8,"publicationDate":"2025-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144685461","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":"Combined time-pressure gradient and electric field on the electroosmotic flow of a complex fluid (human blood data) in a concentric annular microchannel: Linear and non-linear cases with the exponential structure rheological constitutive equation","authors":"Edtson Emilio Herrera-Valencia ,&nbsp;Mayra Luz Sánchez-Villavicencio ,&nbsp;Catalina Soriano-Correa ,&nbsp;Linda Verónica Campos-Fernández ,&nbsp;Joaquín Flores Gerónimo ,&nbsp;Luis Alberto Verduzco Mora ,&nbsp;Oscar Bautista ,&nbsp;Gabriel Ascanio ,&nbsp;Vicente Jesús Hernández-Abad ,&nbsp;Fausto Calderas","doi":"10.1016/j.ijnonlinmec.2025.105207","DOIUrl":"10.1016/j.ijnonlinmec.2025.105207","url":null,"abstract":"<div><div>This study explores theoretically how a time-dependent, pulsatile pressure gradient combined with an electric field affects the flow of a structured electro-viscoelastic fluid in an annular space. The fluid's behavior is described using an extend version of the nonlinear viscoelastic constitutive equation with an exponential structure kernel (ESR-S). This updated ESR model incorporates solvent-related forces, resulting in the ESR-S formulation, which captures complex non-Newtonian behaviors such as shear thinning/thickening, thixotropy, yield stress, elasticity and normal stress differences. Dimensionless variables are introduced to characterize the geometry, material properties, and driving forces, In the linear viscoelastic regime, transfer functions are derived using Fourier analysis, revealing resonance behavior at specific frequencies governed by the Womersley and Deborah numbers. In the nonlinear regime, flow enhancement is predicted based on material characteristic and external mechanisms, including electric and thermal effects. The study shows that combination of a pulsatile pressure gradient and an electric field can significantly enhance flow, particularly when specific dimensionless parameters are met. This effect is demonstrated using rheological data from human blood samples with varying cholesterol levels, where high-cholesterol samples exhibited a distinct flow pattern suggesting a potential diagnostic indicator for hypercholesterolemia. The main objective is to theoretically evaluate the extended ESR-S model for predicting coupled flow behavior in both linear and nonlinear regimes.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105207"},"PeriodicalIF":2.8,"publicationDate":"2025-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144663511","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 higher-order shear deformable model of TiO2/GNP/polymer nanocomposite rectangular plates: A numerical study on mechanical properties and nonlinear primary resonance features","authors":"Raheb Gholami ,&nbsp;Reza Ansari ,&nbsp;Mohammad Kazem Hassanzadeh-Aghdam ,&nbsp;Saeid Sahmani","doi":"10.1016/j.ijnonlinmec.2025.105209","DOIUrl":"10.1016/j.ijnonlinmec.2025.105209","url":null,"abstract":"<div><div>Nonlinear primary resonance behavior of titanium dioxide (TiO₂)/graphene nanoplatelet (GNP)/polymer nanocomposite rectangular plates using a geometrically nonlinear higher-order shear deformable plate model is investigated. The material properties of the hybrid nanocomposite, consisting of a polymer matrix reinforced with TiO₂ nanoparticles and GNPs are determined through the finite element-based micromechanical modeling. The representative volume elements (RVEs) account for nanofiller geometry, dispersion patterns, and interphase effects to accurately simulate the mechanical properties of the nanocomposite. The nonlinear governing equations of motion are derived using Reddy's third-order shear deformation theory and von Kármán nonlinearity and are discretized via the generalized differential quadrature (GDQ) method. The equations are solved using a multistage numerical procedure combining the Galerkin approach, time periodic discretization (TPD) scheme, and pseudo-arc length continuation technique to obtain nonlinear frequency-response curves under various boundary conditions. The results highlight the pronounced contribution of GNP reinforcement, which significantly enhances the stiffness and nonlinear hardening behavior of the plates, as evidenced by increased linear and nonlinear frequencies and reduced vibration amplitudes.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105209"},"PeriodicalIF":2.8,"publicationDate":"2025-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144655134","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":"Analysis of the characteristics of variable-order fractional viscoelastic oscillator under impact loading","authors":"Yao Wang ,&nbsp;Jiande Li ,&nbsp;Yuan Qin ,&nbsp;Linfeng Fan ,&nbsp;Xiankun Liu ,&nbsp;Yong Song ,&nbsp;Wanxiang Han","doi":"10.1016/j.ijnonlinmec.2025.105206","DOIUrl":"10.1016/j.ijnonlinmec.2025.105206","url":null,"abstract":"<div><div>As a critical bridge connecting material properties and dynamic behaviors of system, the viscoelastic oscillator is important in engineering practice. By embedding the variable-order fractional (VOF) constitutive model into viscoelastic oscillator, a variable-order fractional viscoelastic oscillator (VOFVO) dynamic model under impact loading is established. The methods of Laplace transform method, hybrid of block-pulse function and Taylor polynomial are used to solve the system responses of VOFVO dynamic model in time and frequency domains. The Split Hopkinson Pressure Bar (SHPB) impact experiment is conduced. Through a comparative analysis with the Constant fractional-order Kelvin-Voigt (CFKV) model and the Zhu-Wang-Tang nonlinear thermo-viscoelastic constitutive (ZWT) model, the accuracy of the VOF model is validated. The results show that the VOFVO in the high elastic stage Ⅱ has the best damping characteristics with the smallest vibration amplitude, the shortest vibration period, and the fastest vibration attenuation. In the frequency domain, the resonance peaks of VOFVO responses in the three stages appear near a frequency ratio of one. The natural frequency <span><math><mrow><msub><mi>w</mi><mi>n</mi></msub></mrow></math></span>, damping ratio <span><math><mrow><mi>ξ</mi></mrow></math></span> and geometric factor <span><math><mrow><mi>κ</mi></mrow></math></span> are negatively correlated with the VOFVO responses. The first amplitude decreases from 0.017 to 0.0005 as the system parameters increased. Compared to the damping ratio <span><math><mrow><mi>ξ</mi></mrow></math></span>, the natural frequency <span><math><mrow><msub><mi>w</mi><mi>n</mi></msub></mrow></math></span> has a more significant impact on the system responses. The geometric factor <span><math><mrow><mi>κ</mi></mrow></math></span> needs to be determined by comprehensively considering the smaller vibration amplitudes and rational structural configuration.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105206"},"PeriodicalIF":2.8,"publicationDate":"2025-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144623506","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":"Fractional visco-hyperelastic modeling for dynamic behaviors of elastomers","authors":"Bowen Chen ,&nbsp;Junwu Dai ,&nbsp;Guibo Nie","doi":"10.1016/j.ijnonlinmec.2025.105205","DOIUrl":"10.1016/j.ijnonlinmec.2025.105205","url":null,"abstract":"<div><div>To develop a high-performance numerical method for simulating dynamic behaviors of elastomers, it is necessary and urgent to investigate the influences of nonlinearity and thermodynamics-based stability of hyperelastic strain energy density function on the numerical predictions of dynamic properties of elastomers. To this end, this paper proposed a fractional visco-hyperelastic constitutive modeling approach for the dynamic behaviors of elastomers, in which two-parameter Mooney-Rivlin, Stumpf-Marczak and Hoss-Marczak hyperelastic models were harnessed. In this model, dependences of dynamic properties of elastomers on the frequency, dynamic strain amplitude (Payne effect), and prestrain were considered. Stress-strain constitutive relations were derived in the domain of an intrinsic time variable, which satisfies the thermodynamic consistency in the form of Clausius-Duhem inequality. Afterwards, the constitutive model was geometrically linearized in the neighborhood of a temporally constant predeformation. To determine the constitutive parameters, a linear formulation highlighting the prestrain effect was particularized in the derivations of the storage and the loss modulus. An inverse identification procedure was carried out for the experimental data. The prediction results revealed that the model using a nonlinear and thermodynamically stable strain energy density function with merely one fractional Maxwell element could achieve a remarkable accuracy and reliability in representing the dynamic behaviors of different elastomers under different dynamic loading conditions. Projection of constitutive relations in the intrinsic time domain facilitates the constitutive modeling within the dynamic regime. This work could provide a fundamental guidance for the assessment, optimization and design of elastomers with superior vibration isolation performance.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105205"},"PeriodicalIF":2.8,"publicationDate":"2025-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144596589","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":"Truly nonlinear oscillator with position-dependent mass","authors":"L. Cveticanin,&nbsp;M. Prica,&nbsp;M. Zukovic","doi":"10.1016/j.ijnonlinmec.2025.105204","DOIUrl":"10.1016/j.ijnonlinmec.2025.105204","url":null,"abstract":"<div><div>In this paper the truly nonlinear oscillator (TNO) with position dependent mass (PDM) is considered. The TNO has no linear term, and the degree of nonlinearity is any integer or non-integer (fractional) power. Based on the Hamiltonian for TNO the Lagrange differential equation of motion is developed. The obtained mathematical model is a strong nonlinear Liénard equation which has the first integral of energy type. Analyzing the first integral it is obtained that the motion of the system is periodic and with the constant amplitude. In the paper a new procedure for determination of the frequency of vibration is introduced. The method is based on the He’s frequency formalism and on the exact solution of the TNO with constant mass. The significance of the obtained analytical solution lies in the fact that it provides an explicit relationship between the frequency, the oscillation amplitude, the TNO and PDM parameters, offering the possibility of frequency control. Conditions for low frequency vibrations are determined. The theoretical consideration is applied for vibration analyzes of a diatomic molecule with PDM function of exponential type. The obtained results are applicable in refining spectroscopy analysis and also in molecular and structural physics. In addition, due to analogy between mechanical and quantum oscillators this research provides guidance for further development in semi-conductors and quantum mechanics.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105204"},"PeriodicalIF":2.8,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144579949","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":"Very weak solvability of singular thermo-visco-plastic flows with numerical investigations","authors":"Jamel Ferchichi ,&nbsp;Houcine Meftahi","doi":"10.1016/j.ijnonlinmec.2025.105197","DOIUrl":"10.1016/j.ijnonlinmec.2025.105197","url":null,"abstract":"<div><div>In this work, we study non-Newtonian visco-plastic flows in low regularity spaces. We consider the flow of a viscous, incompressible fluid of Norton–Hoff type, coupled with thermal effects and subjected to the action of particles located within the flow domain. Each particle exerts a pointwise force on the fluid, modeled by a Dirac distribution. The primary objective of this contribution is to establish a solvability result in a very weak sense. This solution concept arises from the low regularity induced by the source term. This lack of regularity precludes the use of classical techniques for deriving the desired existence result. To overcome the regularity issue, an appropriate fixed-point approach is applied within an augmented iterative process. To validate the theoretical developments, numerical experiments are conducted using a Newton iterative scheme in conjunction with the Multifrontal Massively Parallel Sparse Direct Solver (MUMPS), highlighting the approach’s effectiveness.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105197"},"PeriodicalIF":2.8,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144579948","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":"Modeling the optimal foam injection slug in porous medium accounting adsorption effects","authors":"Giulia C. Fritis ,&nbsp;Pavel S.Z. Paz ,&nbsp;Grigori Chapiro","doi":"10.1016/j.ijnonlinmec.2025.105199","DOIUrl":"10.1016/j.ijnonlinmec.2025.105199","url":null,"abstract":"<div><div>This study addresses the optimization of surfactant slug design for foam injection in porous media, focusing on applications relevant to carbon capture and storage (CCS) and carbon capture, utilization, and storage (CCUS). We describe the foam flow in a one-dimensional porous medium as a sequence of two Riemann problems, explicitly accounting for surfactant adsorption on the rock surface impacting the surfactant mass available for foam generation. Utilizing the modified implicit texture foam model from the commercial simulator CMG/STARS, we extended previous Riemann problem solutions to include more realistic modeling. Following the classical definition of optimal slug size, we propose a methodology to minimize surfactant usage while maximizing carbon dioxide storage efficiency. The resulting Pareto front offers valuable insights for practical applications. Our key findings indicate a strong dependence of optimal slug properties on adsorption parameters, underscoring the importance of accurately modeling reservoir rock surface — surfactant interactions. Despite employing the linear Henry adsorption isotherm, the identified optimal surfactant concentrations are primarily low, corresponding to the parameter range where this model is physically accurate, supporting our approach. Additionally, Pareto front analysis suggests a methodology to investigate the economic potential of the foam injection. All analytical solutions were validated through direct numerical simulations.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105199"},"PeriodicalIF":2.8,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144579950","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":"Global evolution of limit cycles and homoclinic bifurcation of smooth and discontinuous oscillator with quartic nonlinear damping","authors":"Zhenbo Li ,&nbsp;Linxia Hou ,&nbsp;Ruyue Peng","doi":"10.1016/j.ijnonlinmec.2025.105185","DOIUrl":"10.1016/j.ijnonlinmec.2025.105185","url":null,"abstract":"<div><div>As a typical model of irrational oscillator, the smooth and discontinuous (SD) oscillator has been researched intensively in these few years. However, the researches on nonlinear damped SD oscillator are still rare. Therefore, this work is devoted to the quantitative analysis of certain SD oscillator with quartic nonlinear damping. First, by introducing the Padé approximation method into the modified generalized harmonic function perturbation method, the latter one has been further improved. Via this method, the limit cycle’s amplitude-system parameter relationship, as well as the stability criterion about limit cycle, are derived analytically. By utilizing these relationships, the global evolution of each limit cycle and its homoclinic bifurcation are analyzed quantitatively and analytically with respect to single parameter and multi-parameters. These analyses answer the questions such as when a limit cycle emerges, how it bifurcates, and where it converges. Additionally, the analytical approximate solution of limit cycle and homoclinic orbits are also obtained. To show the effectiveness, several calculation examples are presented and analyzed elaborately. To demonstrate the accuracy, all results obtained in this paper are confirmed by Runge–Kutta method. The above results are of great significance in analyzing the global dynamic behavior of nonlinear damped SD oscillator. Thus, the presented work can be considered as an important supplement to the researches on SD oscillator. And the proposed method can be also utilized in study other oscillators.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105185"},"PeriodicalIF":2.8,"publicationDate":"2025-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144571844","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}