{"title":"Non-linear analysis of composite structure subjected to impact load based on Johnson-Cook constitutive model","authors":"Haiyang Song","doi":"10.1016/j.ijnonlinmec.2025.105176","DOIUrl":"10.1016/j.ijnonlinmec.2025.105176","url":null,"abstract":"<div><div>In this paper, the Johnson-Cook constitutive model and explicit algorithm are applied to the non-linear analysis of composite structures, and the aim of this paper is to provide a new method by which the response of elastic-plastic structure subjected to impact load can be obtained. The effect of strain and strain rate on structural stress is described in the Johnson-Cook constitutive model, and the calculation methods of important parameters in the Johnson-Cook constitutive model are provided. The mathematical expressions of implicit algorithm and explicit algorithm are derived, and the comparison between these two algorithms is conducted. The results show that the explicit algorithm is more suitable for the non-linear analysis of composite structures. A composite structure which consists of solid structures, shell structures and shock absorbers is used as numerical example to demonstrate the feasibility and effectiveness of the presented approach.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105176"},"PeriodicalIF":2.8,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144223477","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":"High order invariant manifold model reduction for systems with non-polynomial non-linearities: Geometrically exact finite element structures and validity limit","authors":"Aurélien Grolet , Alessandra Vizzaccaro , Marielle Debeurre , Olivier Thomas","doi":"10.1016/j.ijnonlinmec.2025.105138","DOIUrl":"10.1016/j.ijnonlinmec.2025.105138","url":null,"abstract":"<div><div>This paper considers the computation of reduced-order models for systems of ordinary differential equations that include non-polynomial non-linearities. A targeted example is the case of a geometrically exact model of highly flexible slender structure, that includes, after space discretisation, trigonometric non-linear terms. With a suitable change of variables, this system can be rewritten in an equivalent one with polynomial non-linearities at most quadratic, at the price of introducing additional variables linked to algebraic equations, leading to a differential algebraic set of equations (DAE) to be solved. This DAE is reduced thanks to a normal form parametrisation of its invariant manifolds and selecting a set of master ones. Arbitrary order expansions are detailed for the coefficients of the change of variable and the reduced dynamics, using linear algebra in the space of multivariate polynomials of a given degree. In the case of a single non-linear mode reduction, a criterion to evaluate the quality of the normal form results is also proposed based on an estimation of the convergence radius of the polynomial asymptotic expansion representing truncated series. The method is then applied to compute a single mode reduction of three test cases – a Duffing oscillator, a simple pendulum and a clamped clamped beam with von Kármán model –, in order to investigate the effect of the algebraic part of the DAE on the quality of the model reduction and its validity range. Then, the more involved case of a cantilever beam modelled by geometrically exact finite elements is considered, underlining the ability of the method to produce accurate and converged results in a range of amplitude that can be bounded thanks to a convergence criterion.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105138"},"PeriodicalIF":2.8,"publicationDate":"2025-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144204484","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":"Cylindrical axial shear generated by an applied Piola–Kirchhoff stress","authors":"C.O. Horgan , J.G. Murphy","doi":"10.1016/j.ijnonlinmec.2025.105156","DOIUrl":"10.1016/j.ijnonlinmec.2025.105156","url":null,"abstract":"<div><div>A novel approach to the classical problem of axial shear of isotropic incompressible non-linearly elastic materials is proposed here. It is assumed that only the axial first Piola–Kirchhoff shear stress components are not identically zero, instead of the usual semi-inverse assumption on the displacement field of a typical particle. The form of the displacement consistent with this stress formulation is then obtained, assuming that the so-called Empirical Inequalities hold. The classical displacement formulation of axial shear is <em>derived</em> for the class of generalised neo-Hookean materials. The absence of a normal stress effect is noted. The difficulties in solving the corresponding problem in the context of Cauchy stress are highlighted.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105156"},"PeriodicalIF":2.8,"publicationDate":"2025-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144185334","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}
Kwang Jin Kim, Kyong Ho Sim, Il Hyok Kim, Hyok Song Kim
{"title":"Comparison of the phenomenological and physically-based constitutive material equations for GH4033 superalloy","authors":"Kwang Jin Kim, Kyong Ho Sim, Il Hyok Kim, Hyok Song Kim","doi":"10.1016/j.ijnonlinmec.2025.105172","DOIUrl":"10.1016/j.ijnonlinmec.2025.105172","url":null,"abstract":"<div><div>Phenomenological and physically-based constitutive equations for predicting the hot flow stress of the GH4033 superalloy were developed and compared. Isothermal uniaxial compression tests were conducted in the deformation temperatures of 950, 1050, 1150 and 1200 °C, and strain rates of 0.001, 0.01, 0.1, 1, and 10 s<sup>−1</sup>. Based on the flow stress-strain curves data, phenomenological constitutive equations (modified Johnson-Cook model, Arrhenius-type model) and physically-based constitutive equations (modified Zerilli-Armstrong model, microstructural based model) were developed. The modified Johnson-Cook model and microstructural based model were further modified to enhance the prediction accuracy. The prediction accuracy of the proposed constitutive equations was appraised by the determination coefficient and the average absolute relative error, which are 0.9680 and 14.05 % for the modified Johnson-Cook model, 0.9773 and 9.58 % for the strain compensated Arrhenius-type model, 0.9961 and 6.53 % for the modified Zerilli-Armstrong model and 0.9948 and 4.53 % for the microstructural based model, respectively. The result shows that the proposed physically-based constitutive equations are very suitable for accurately predicting the hot flow stress behavior of GH4033 superalloy.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105172"},"PeriodicalIF":2.8,"publicationDate":"2025-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144330993","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}
Vassilis S. Kalantonis , Omiros Ragos , Angela E. Perdiou , Efstathios A. Perdios
{"title":"Numerical exploration of the Lyapunov families and their spatial bifurcations in the R3BP under the presence of a three-body interaction","authors":"Vassilis S. Kalantonis , Omiros Ragos , Angela E. Perdiou , Efstathios A. Perdios","doi":"10.1016/j.ijnonlinmec.2025.105152","DOIUrl":"10.1016/j.ijnonlinmec.2025.105152","url":null,"abstract":"<div><div>In this study, we consider an extension of the classical restricted three-body problem in which an additional three-body interaction is incorporated and investigate the resulting periodic orbits. Specifically, we analyze the Lyapunov families of planar periodic orbits that emerge from the collinear equilibrium points, along with their vertical stability characteristics. Furthermore, we delve into the three-dimensional periodic orbits that bifurcate from these planar families, focusing on spatial bifurcations with periods that are equal to, double or triple the period of the associated Lyapunov orbits. Our findings reveal the presence of various symmetry types, such as plane–plane, axis–axis or combination of both. Our analysis has been conducted for a set of parameter values associated with binary systems of a relatively large mass ratio.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105152"},"PeriodicalIF":2.8,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144190401","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":"Dissipative relativistic extended thermodynamics of polyatomic gases in the Landau–Lifshitz description","authors":"M.C. Carrisi","doi":"10.1016/j.ijnonlinmec.2025.105154","DOIUrl":"10.1016/j.ijnonlinmec.2025.105154","url":null,"abstract":"<div><div>This article presents and analyses a relativistic model for polyatomic gases within the Landau–Lifshitz framework, incorporating the contribution of internal energy arising from interactions between gas molecules. This model generalizes the one proposed by Cercignani and Kremer in 2001 for monatomic gases within the context of the Marle expansion. Specifically, in this paper a moment model is derived and its closure is determined by using the methods of Rational Extended Thermodynamics. This is compared with the one recently proposed by Arima, Carrisi, Pennisi, and Ruggeri, which employs a variant of the Anderson–Witting model in the Eckart frame. The analysis demonstrates that the balance equations and the collision term are equivalent up to first order with respect to equilibrium.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"178 ","pages":"Article 105154"},"PeriodicalIF":2.8,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144169472","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":"Physics-based modeling of the temperature-dependent fatigue behavior of natural and synthetic polyisoprene rubbers","authors":"Andréas Hottin , Moussa Naït Abdelaziz , Abderrahim Talha","doi":"10.1016/j.ijnonlinmec.2025.105171","DOIUrl":"10.1016/j.ijnonlinmec.2025.105171","url":null,"abstract":"<div><div>The mechanical properties of rubbers are typically highly sensitive to temperature, and fatigue crack initiation resistance is no exception. Despite abundant documentation in the scientific literature, the mechanisms driving this temperature dependence remain insufficiently understood. A common approach to addressing this phenomenon is the time-temperature equivalence method. Although it offers reasonably accurate results, it lacks predictive power due to its empirical nature.</div><div>This article introduces a novel predictive model for the S–N curves of rubbers with respect to temperature, grounded in the Work-Heat Equivalence Principle. This innovative framework is built on a robust physical foundation, with its predictive accuracy enhanced by the absence of fitting parameters. The model's performance is evaluated using an extensive dataset, including newly acquired experimental data, literature-derived results from temperature-controlled fatigue tests on isoprene rubber (IR), and insights from fatigue tests performed on thick rubber parts accompanied by self-heating-induced temperature rises reported in previous studies.</div><div>The good correlation between the model's predictions and experimental observations underscores the significant role of the proposed mechanism in governing the temperature dependency of rubber fatigue life.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"177 ","pages":"Article 105171"},"PeriodicalIF":2.8,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144154919","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 role of interruptions in V2V communication: Investigating the consequences on passing and attention","authors":"Darshana Yadav , Vikash Siwach , Sunny Kumar , Poonam Redhu","doi":"10.1016/j.ijnonlinmec.2025.105151","DOIUrl":"10.1016/j.ijnonlinmec.2025.105151","url":null,"abstract":"<div><div>Traffic disruptions are one of the primary causes of congestion, especially when the number of vehicles increases. We create a novel optimal velocity model to investigate the impact of traffic interruption probability on traffic flow in vehicle-to-vehicle (V2V) environment. To better understand how interruptions affect traffic flow, this model allows for passing maneuvers and includes a driver attentiveness term. We study traffic flow’s linear and nonlinear stability, focusing on the impact of interruption probability on the phase diagram, both theoretically and numerically. For the mKdV equation, the existence requirements for the “kink-antikink soliton” solutions are obtained. A change from smooth flow to kink flow and sometimes chaotic flow as the risk of an interruption goes up in the stable zone. At lower values of the non-interruption effect, there is a typical jamming transition between uniform flow and kink flow. Numerical simulations validate our theoretical conclusions, demonstrating that allowing passing and considering driver attention significantly influence traffic flow stabilization whereas continuous interruption has a negligible impact on stability.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"177 ","pages":"Article 105151"},"PeriodicalIF":2.8,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144123503","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":"Bi-modular rods: Existence of supersonic shock waves","authors":"Sergey V. Kuznetsov","doi":"10.1016/j.ijnonlinmec.2025.105169","DOIUrl":"10.1016/j.ijnonlinmec.2025.105169","url":null,"abstract":"<div><div>It is known that the propagation of infinitesimally small harmonic elastic waves in a bi-modular rod implies the appearance of discontinuities in strain, stress and the propagation velocity. These discontinuities are known as strong shock wave fronts, or simply strong shocks. It is also known that the instantaneous velocity of the strong shocks lies in between fast and slow rod velocities of the bi-modular rod. Now, by applying the Hadamard compatibility equation for singular surfaces, it is revealed that under certain conditions the velocity of a strong shock can be infinite. This result is confirmed numerically using the hyperelastic potential for a bi-modular material and with the finite element model. It is also shown that the existence of extremely fast strong shocks implies a large local heat release.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"177 ","pages":"Article 105169"},"PeriodicalIF":2.8,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144123502","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":"Experimental and numerical investigations into tensile and compressive behavior of radial countersunk screw lap joints","authors":"Shuo Zhang, Ning Guo, Chao Xu","doi":"10.1016/j.ijnonlinmec.2025.105159","DOIUrl":"10.1016/j.ijnonlinmec.2025.105159","url":null,"abstract":"<div><div>Radial countersunk screw lap joints are widely employed in aerospace vehicles to connect various cabin sections. These joints experience complex flight loads, leading to nonlinear deformation and strain behaviors due to the contact and friction mechanisms at the joint interfaces. To gain a deeper understanding of the nonlinear mechanical behavior of such joints, this study conducts static tension and compression tests, complemented by nonlinear finite element simulations. Initially, typical radial countersunk screw lap joint specimens are fabricated and tested under tension and compression loads using an MTS universal testing machine. A preliminary analysis of the load-deformation relationship is performed based on the experimental data. Subsequently, a numerical model is developed using the nonlinear finite element method. This model is validated against experimental results and utilized to predict the evolution of contact behavior and the distribution of stress/strain within the specimens. Furthermore, a parametric analysis is conducted to investigate the influence of key design parameters on the joint's mechanical behavior. The findings indicate that the nonlinear mechanical behavior primarily stems from changes in the contact state between different components, while the differences in tensile and compressive behaviors are driven by variations in contact stiffness. Additionally, the size of the screw-hole clearance and assembly clearance significantly impacts the slip behavior observed in the load-displacement curves. Variations in screw preload and lap length have an important effect on the initial stiffness of the joint. These insights provide a foundation for optimizing the design and performance of radial countersunk screw lap joints for aerospace applications.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"177 ","pages":"Article 105159"},"PeriodicalIF":2.8,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144108242","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}