{"title":"A mechanics-based design approach to local buckling of thin-walled cross-sections","authors":"Rupert Annison, Jurgen Becque","doi":"10.1016/j.ijsolstr.2025.113487","DOIUrl":"10.1016/j.ijsolstr.2025.113487","url":null,"abstract":"<div><div>A new methodology for the design of thin-walled cross-sections against local buckling is presented. Unlike the currently codified approaches (the Effective Width Method and the Direct Strength Method), which are based on empirical curve-fitted equations, the new method is rational in nature: a differential equation governing the post-local buckling behaviour of thin-walled cross-sections is established, combined with a failure criterion based on first yield of the membrane stresses, and solved using a finite element scheme. Owing to its solid theoretical fundamentals, the approach is applicable across all possible cross-sectional shapes.</div><div>To provide an initial proof-of-concept of the new method, an experimental campaign was devised, comprising 22 axial compression tests on cold-formed steel stub columns with a wide range of cross-sectional geometries. All specimens failed by local buckling. The average ratio of the predicted to the experimentally measured capacity was 0.96, with a standard deviation of just 2.9%, and the new approach clearly outperformed the current design standards.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"319 ","pages":"Article 113487"},"PeriodicalIF":3.4,"publicationDate":"2025-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144148066","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}
Mehdi Kazemian , Raimondo Penta , Hamidreza Dehghani , Ali Hassani , Ali Moazemi Goudarzi
{"title":"An analytical-based computational framework to study poroelastic column consolidation for solid compressibility at large deformations","authors":"Mehdi Kazemian , Raimondo Penta , Hamidreza Dehghani , Ali Hassani , Ali Moazemi Goudarzi","doi":"10.1016/j.ijsolstr.2025.113436","DOIUrl":"10.1016/j.ijsolstr.2025.113436","url":null,"abstract":"<div><div>This paper presents a computational framework based on a semi-analytical solution to predict the time-dependent behavior of fluid-saturated poroelastic media. The proposed method (PM) employs the Forward Euler Method to approximate time derivatives in the fluid continuity equation, transforming the governing partial differential equations (PDEs) into nonlinear ordinary differential equations (ODEs). These ODEs are then solved analytically to determine pore pressure and skeleton deformation at each iteration. A one-dimensional column consolidation with a compressible isotropic-homogeneous porous skeleton is used as a case study. The skeleton’s large deformations are described using the Hencky material model, incorporating a decoupled porosity-deformation-dependent free energy function. The accuracy of the results is validated against simulations performed using the FlexPDE commercial software, showing excellent agreement in predicting consolidation behavior and confirming the reliability of the method. By avoiding spatial discretization and variable conversion, the PM achieves rapid and efficient convergence. Furthermore, leveraging experimental poroelastic data, this study investigates the effects of solid matrix compressibility on fluid pressure, porosity changes, and skeleton stress during undrained, transient, and drained states, highlighting the advantages of the analytical-based approach.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113436"},"PeriodicalIF":3.4,"publicationDate":"2025-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144195121","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":"Reverse buckle and stiffness strengthening of thin plate under in-plane compression","authors":"Jianquan Qi, Yuli Dong, Chuan Yang, Dashan Zhang","doi":"10.1016/j.ijsolstr.2025.113473","DOIUrl":"10.1016/j.ijsolstr.2025.113473","url":null,"abstract":"<div><div>The buckling and postbuckling behaviors of six simply supported aluminium alloy plates were investigated through uniaxial and biaxial compression tests. The buckling modes and reverse buckle deformations in the postbuckling stage were captured using a VIC-3D digital image correlation system. Analysis of the structural responses revealed a clear correlation between reverse buckle deformation and stiffness strengthening. The buckling and failure loads were identified. The formation mechanism of reverse buckle deformation was clarified and validated through stress distribution analysis along the plate edges. The influence of reverse buckle deformation on the mode jump of thin plates was examined using the VIC-3D results. These experimental methods provide a reference for studying thin plates under combined loading conditions.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"319 ","pages":"Article 113473"},"PeriodicalIF":3.4,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144148065","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}
ZiJian Chen , Tao Wang , TianYan Gao , XiaoPing Wu , Zhong Zhang , Yang Zhao , Ping Gu
{"title":"Large deformation contact mechanics with Non-Slip Interfaces","authors":"ZiJian Chen , Tao Wang , TianYan Gao , XiaoPing Wu , Zhong Zhang , Yang Zhao , Ping Gu","doi":"10.1016/j.ijsolstr.2025.113474","DOIUrl":"10.1016/j.ijsolstr.2025.113474","url":null,"abstract":"<div><div>When a rigid paraboloid is deeply pressed into an elastomer with high surface energy, the interfacial tangential force becomes a significant factor that must be considered. To derive clear and accessible analytical solutions, we developed a modified theory for large deformation non-slip contact between a rigid paraboloid and a half-space elastomer, based on the principles of hyperelasticity. Our non-slip theory hinges on the large deformation coefficient <em>θ</em>. The non-slip theory expression can be succinctly described as the Hertz solution multiplied by <em>θ</em>. This coefficient is a critical indicator to evaluate the applicability of the small deformation assumption. If <em>θ</em> surpasses the allowable tolerance, the small deformation model is no longer valid. Our non-slip theory predicts higher external forces compared to the Hertz model, with predictions aligning more closely with finite element analyses and experimental data, particularly for materials with low Poisson’s ratio values. We also extend our non-slip theory to explain adhesion, enabling the large deformation modification of the JKR theory. This extension reveals that the adhesion forces are negligible compared to the pressures associated with large deformations. Our non-slip theory thus demonstrates its robust adaptability for applications involving adhesion. This research provides a pivotal theoretical framework that enhances our understanding of contact mechanics, particularly relevant to the large deformation contact issues between punches and elastomers.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113474"},"PeriodicalIF":3.4,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144178363","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}
Can Wang , Qiqi Xiao , Dagang Wang , Zhenbing Cai , Lihua Wang , Gregor Kosec , Magd Abdel Wahab
{"title":"On the effect of out-of-phase cyclic normal load and axial stress ratios on fretting fatigue crack initiation and propagation","authors":"Can Wang , Qiqi Xiao , Dagang Wang , Zhenbing Cai , Lihua Wang , Gregor Kosec , Magd Abdel Wahab","doi":"10.1016/j.ijsolstr.2025.113475","DOIUrl":"10.1016/j.ijsolstr.2025.113475","url":null,"abstract":"<div><div>In this paper, we present a novel investigation into the influence of out-of-phase cyclic normal load and axial stress ratios on fretting fatigue crack initiation and propagation behaviours. Unlike previous studies that primarily focus on constant normal load, our research employs advanced numerical models to provide for the first time a detailed analysis of the effect of out-of-phase cyclic normal load on fretting fatigue crack initiation and propagation behaviours. Due to the non-proportional loading conditions, the frequency of loading, normal load ratio, and cyclic stress ratio play important roles in both crack initiation and propagation phases, which are not yet fully understood. Some experimental results reflect the effect of normal load ratio and cyclic stress ratio on the total fretting fatigue lifetime and wear scar, but there are no direct conclusions. This paper uses the Critical Plane Method and the Theory of Critical Distance to estimate crack initiation behaviour and lifetime. At the same time, the Extended Maximum Tangential Stress criterion from Linear Elastic Fracture Mechanics theory is applied to analyse the impact of load stress ratio on crack propagation path and lifetime, saving experimental time through numerical modelling. The enhancement ratios of crack propagation lifetime are less significant than those of crack initiation lifetime with varying axial stress ratios. Moreover, the impact of the stress ratio of both loads shows discrepancies under high and low cycle fatigue regimes.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113475"},"PeriodicalIF":3.4,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144178362","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}
G. Boman , S. Starkenberg , S. Wennerholm , M. Wallin , E. Borgqvist , E. Bergvall , M. Ristinmaa
{"title":"Statistical volume element generation for paperboard based on X-ray computer tomography images","authors":"G. Boman , S. Starkenberg , S. Wennerholm , M. Wallin , E. Borgqvist , E. Bergvall , M. Ristinmaa","doi":"10.1016/j.ijsolstr.2025.113446","DOIUrl":"10.1016/j.ijsolstr.2025.113446","url":null,"abstract":"<div><div>The macroscopic response governed by a statistical volume element, generated from 3D X-ray computer tomography images of paperboard, is explored. The statistical volume element, which consists of fibres and void, is derived from X-ray computer tomography images. Two filters for computing intensity fields and intensity gradients have been implemented and compared. Using an intensity threshold, the fibres are identified. The intensity gradient is used to identify the structural tensors, which define the fibre orientations. A finite element model is established using the voxel structure from the X-ray computer tomography images. Fibres are modelled as a transversely isotropic elasto-plastic material, where use is made of the identified structural tensors. From finite element simulations of statistical volume elements, calibrated against macroscopic uniaxial responses, the elasto-plastic fibre properties are identified, and the stress distribution in the volume element is analysed. A study on the dimensions of the volume element is also conducted.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113446"},"PeriodicalIF":3.4,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144203840","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}
Rajesh Chandrasekaran , Mikhail Itskov , Ameya Rege
{"title":"Influence of microstructure on the mechanical behavior of open-porous materials under large strains","authors":"Rajesh Chandrasekaran , Mikhail Itskov , Ameya Rege","doi":"10.1016/j.ijsolstr.2025.113441","DOIUrl":"10.1016/j.ijsolstr.2025.113441","url":null,"abstract":"<div><div>Open-porous materials are characterized by a complex morphology consisting of an interconnected solid network and voids. The mechanical performance of these materials is strongly governed by their underlying microstructure. This study presents a computational framework to investigate the structure–property relationships in open-porous materials by explicitly modeling the effects of pore-size distribution (PSD), solid fraction, and pore wall geometry. Microstructures with tunable PSDs are generated using Laguerre-Voronoi tessellation based on random closed packing of polydisperse spheres, allowing precise control over pore morphology. A finite element framework with the elastoplastic material model is used to study the macroscopic behavior under compressive loading. The model response is validated against experimental data from aerogel and foam materials. The study reveals that while the solid fraction alone governs the bulk elastic modulus and plastic collapse stress through well-established scaling laws, the PSD critically affects the post-yield behavior, including the plateau and densification regimes under large strains. This study highlights the importance of PSD beyond classical density-based models and provides a predictive design strategy to tailor open-porous materials to application-specific mechanical requirements.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"319 ","pages":"Article 113441"},"PeriodicalIF":3.4,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144134640","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":"Free vibration of functionally graded porous perforated solid structures with complex shaped holes","authors":"A. Hadrich , S. Zghal , S. Koubaa , Z. Bouaziz","doi":"10.1016/j.ijsolstr.2025.113449","DOIUrl":"10.1016/j.ijsolstr.2025.113449","url":null,"abstract":"<div><div>This paper investigates free vibration of functionally graded (FG) porous perforated solid structures with complex shaped holes. Based on the three-dimensional theory of elasticity and Hamilton’s principle, the governing equations are established. These equations are discretized using a four-noded three-dimensional finite element of a tetrahedron with volume coordinates and Lagrangian polynomials, noted (Q4-T4), and the natural frequencies are obtained by numerical solutions. Three forms of cutout or hole shapes are introduced, namely, cloud, flower and heart cutouts with three distinct forms of porosity, namely even, uneven and trigonometric forms, are also included in the model. The effects of cutout size and form, as well as the porosity volume fraction and patterns on the natural frequency, are discussed in detail. The results show that the natural frequency increases with the increase in the cutout shape (radius variation) and decreases with increasing porosity volume fraction and shift of the porosity pattern from a trigonometric to a uniform porosity distribution.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"319 ","pages":"Article 113449"},"PeriodicalIF":3.4,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144116629","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}
Weichen Kong , Yanwei Dai , Yinghua Liu , Kamran Nikbin
{"title":"A 3D microstructural constraint-based remaining ductility model for creep crack growth in metals","authors":"Weichen Kong , Yanwei Dai , Yinghua Liu , Kamran Nikbin","doi":"10.1016/j.ijsolstr.2025.113467","DOIUrl":"10.1016/j.ijsolstr.2025.113467","url":null,"abstract":"<div><div>Creep crack growth (CCG) is a critical aspect of safety evaluation for high-temperature structures. This study investigates the influence of both geometric constraint levels and microstructure on CCG rates. A novel prediction model called NSW-SC (i.e., stochastic constraint Nikbin-Smith-Webster creep crack growth model) is proposed in which the geometric constraints and stochastic microstructural effects are combined with the well-known remaining ductility-based model (NSW) to predict crack growth in metals. The geometric constraint parameters are derived from a 3D higher-order asymptotic solution of creep crack tip fields. This is presented in a modified NSW-SC model to quantify the microstructural effect on CCG. Random multiaxial ductility influenced by crack tip fields at the sub-grain level is introduced. The model is applicable for predicting steady-state creep crack growth dominated by grain boundary degradation. Findings reveal that higher constraint levels lead to increased CCG rates whilst at the same time reducing peak stress rate fluctuations to induce a more stable CCG behaviour. The NSW-SC model is compared to stochastic finite element calculations for different specimens and validated by CCG results in Inconel 617 to confirm the findings.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"319 ","pages":"Article 113467"},"PeriodicalIF":3.4,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144124971","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}
Jialin Cui , Xianqiang Qu , Chunwang Lv , Jinbo Du
{"title":"Vibrational energy flow in surface-cracked plates: A method for damage detection under sinusoidal loading","authors":"Jialin Cui , Xianqiang Qu , Chunwang Lv , Jinbo Du","doi":"10.1016/j.ijsolstr.2025.113450","DOIUrl":"10.1016/j.ijsolstr.2025.113450","url":null,"abstract":"<div><div>This study investigates the vibrational energy flow characteristics of surface-cracked plates under sinusoidal force distribution and proposes an innovative crack identification method based on energy flow analysis. The surface crack is modeled as a line spring, and the vibrational energy flow characteristics of the cracked plate are derived by incorporating the additional rotation discontinuity caused by the crack. The results reveal that no energy input occurs below the critical frequency for both intact and cracked plates. Above the critical frequency, the input energy flow decreases with increasing frequency but increases with the number of half-waves. The depth of the crack significantly influences the fluctuation amplitude of the input energy flow, with deeper cracks causing greater fluctuations. Furthermore, while the energy flow propagation remains constant in the far-field region, dynamic transformations of energy flow components occur in the near-field region. A crack identification method based on the normalized input energy flow contour map is proposed, enabling accurate determination of crack location and depth using a single measurement point. Numerical and experimental results demonstrate that under an excitation frequency of 1000 Hz and a single half-wave condition, the method achieves 100 % accuracy in identifying a crack located at 0.2 m with a relative depth of 0.4. This approach significantly enhances detection efficiency and reduces implementation costs compared to traditional methods. The findings provide a new theoretical foundation for crack identification and contribute to the optimization of structural health monitoring techniques, offering broad potential for engineering applications.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"318 ","pages":"Article 113450"},"PeriodicalIF":3.4,"publicationDate":"2025-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144106725","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}