{"title":"A data-driven approach for imperfection-insensitive thin-shell structure design via localized dimple imperfections and gradient boosting","authors":"Kyungmin Kim, Fabien Royer","doi":"10.1016/j.ijsolstr.2025.113637","DOIUrl":"10.1016/j.ijsolstr.2025.113637","url":null,"abstract":"<div><div>Thin-shell structures exhibit an unpredictable buckling behavior caused by their extreme sensitivity to localized imperfections. This work presents a data-driven framework to obtain imperfection-insensitive thin-shell structures based on an approach that replaces traditional eigenmode-based imperfection modeling with localized dimple imperfections. While the framework is general in nature, the study focuses on one particular kind of thin-shell structure, the Collapsible Tubular Mast (CTM), increasingly used in ultralight deployable space structures. When deployed, the structures experience a bending loading which can result in the boom buckling. A skew-normal distribution is shown to describe the distribution of resulting buckling moment when imperfections are seeded in the initial boom geometry, leading to the adoption of Natural Gradient Boosting (NGBoost) for probabilistic predictions under two bending directions. The models estimate mean and standard deviation of the buckling moment for varying boom design parameters, thereby capturing heteroscedastic uncertainty arising from geometric imperfections. Multi-Objective Optimization (MOO) techniques then integrate the predictive models to balance competing objectives, maximizing average buckling capacity while minimizing its variability. Results reveal distinct pareto-optimal designs that can achieve high buckling loads with reduced imperfection-sensitivity. This framework highlights the importance of local imperfection modeling and probabilistic data-driven methods in advancing robust thin shell design for next-generation deployable space systems.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"323 ","pages":"Article 113637"},"PeriodicalIF":3.8,"publicationDate":"2025-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145019924","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":"Dislocation-based crystal plasticity simulation on grain-size dependence of mechanical properties in dual-phase steels","authors":"Misato Suzuki , Kazuyuki Shizawa , Mayu Muramatsu","doi":"10.1016/j.ijsolstr.2025.113634","DOIUrl":"10.1016/j.ijsolstr.2025.113634","url":null,"abstract":"<div><div>In this study, the effect of ferrite grain size on the mechanical properties and dislocation behavior of dual-phase (DP) steel is investigated using dislocation-based crystal plasticity finite element analysis. DP steel, composed of a soft ferritic phase and a hard martensitic phase, shows mechanical properties that are significantly influenced by ferrite grain size. The mechanism underlying this grain size effect is clarified by analyzing the partitioning and distribution of stress, strain, and dislocations in each phase. Three models with the same volume fraction of martensitic phase but different ferrite grain sizes are subjected to tensile loading. Interestingly, even though only the ferrite grain size is changed, the stress in the martensitic phase exhibited a notable dependence on ferrite grain size. This can be explained as follows. Geometrically necessary (GN) dislocations accumulate on the ferrite side of the ferrite–martensite grain boundary, and the grain boundary occupancy per unit area increases as the ferrite grain size decreases. As a result, smaller ferrite grain sizes make the ferritic phase less deformable owing to the effect of GN dislocations, shifting more deformation to the martensitic phase. This behavior is confirmed by the more uniform strain distribution and partitioning observed with decreasing ferrite grain size. As the martensitic phase takes on greater deformation, the statistically stored dislocation density in the martensitic phase becomes ferrite grain size dependent, which in turn leads to the observed grain size dependence of stress in the martensitic phase.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"323 ","pages":"Article 113634"},"PeriodicalIF":3.8,"publicationDate":"2025-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144933398","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}
Marco Paggi (Guest editor), Ramin Aghababaei (Guest editor)
{"title":"Preface: Contact Mechanics and Tribology in the ICTAM Century","authors":"Marco Paggi (Guest editor), Ramin Aghababaei (Guest editor)","doi":"10.1016/j.ijsolstr.2025.113642","DOIUrl":"10.1016/j.ijsolstr.2025.113642","url":null,"abstract":"","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"323 ","pages":"Article 113642"},"PeriodicalIF":3.8,"publicationDate":"2025-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145154879","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":"Exploring dynamic contact of soft solids with an Eulerian phase-field approach","authors":"Flavio Lorez, Mohit Pundir","doi":"10.1016/j.ijsolstr.2025.113621","DOIUrl":"10.1016/j.ijsolstr.2025.113621","url":null,"abstract":"<div><div>Dynamic contact of soft solids plays a role in many applications, from biomechanical impacts to manufacturing processes. Traditional Lagrangian methods often struggle with large deformations and rapidly evolving contact interfaces. Fully Eulerian approaches for solid–solid contact have remained few and contributions are mostly from the fluid–structure interaction community. In this work, we extend our previous Eulerian phase-field framework for static contact to solid dynamics. Our formulation employs multiple Eulerian fields – a phase-field for interface capturing, a reference map to model elasticity, and separate velocity fields for each body – to describe the state of different solids on a fixed mesh. Contact is resolved implicitly through a penalty-based approach that uses the overlap of phase-fields. Temporal integration is performed using the generalized-<span><math><mi>α</mi></math></span> method. Numerical examples demonstrate that translating the contact formulation to the dynamic case is straight-forward and that the total energy is well-conserved.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"323 ","pages":"Article 113621"},"PeriodicalIF":3.8,"publicationDate":"2025-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144989102","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":"Crack formation analysis during transient thermal pyrolysis of a heated annular disk","authors":"Linwei Mou, Thomas J. Pence, Indrek S. Wichman","doi":"10.1016/j.ijsolstr.2025.113628","DOIUrl":"10.1016/j.ijsolstr.2025.113628","url":null,"abstract":"<div><div>Solid fuel combustion involves chemical pyrolysis which liberates volatile reactants that feed the active flame. If the pyrolytic reaction is char forming then the resulting solid degradation involves generalized fracture processes with complex crack and craze morphologies. We model this for an annular thin disk heated at its inner hole boundary. Pyrolytic mass loss gives a state of plane stress which is simply analyzed prior to crack formation because of the circular symmetry. Cracking breaks this symmetry. We model the ensuing fracture using both a critical stress criterion as well as a phase field model. The former is characterized by a critical stress material parameter <span><math><msub><mrow><mi>σ</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>. The latter is characterized by the energy release rate <span><math><msub><mrow><mi>G</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span> and the characteristic length <span><math><msub><mrow><mi>l</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>. Cracks initiate at the heated surface in both models and then advance into the disk. At issue is the resulting crack morphology and the extent to which the advancing pattern is or is not tightly correlated to the advancing char process zone across which the solid material density transitions from its original virgin value to its fully charred value. Crack pattern morphology is found to vary with both <span><math><msub><mrow><mi>σ</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span> and the pair <span><math><mrow><mo>(</mo><msub><mrow><mi>G</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>,</mo><msub><mrow><mi>l</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>)</mo></mrow></math></span> for the two treatments. Certain morphologies are highly branched, in which case lagging crack tips eventually arrest. Active crack tips are found to keep pace with the advancing char process zone in a manner that is often relatively insensitive to material parameters. Comparisons are made so as to gauge the effect of a standard presumption that <span><math><mrow><msub><mrow><mi>σ</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>∼</mo><msqrt><mrow><msub><mrow><mi>G</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>/</mo><msub><mrow><mi>l</mi></mrow><mrow><mi>c</mi></mrow></msub></mrow></msqrt></mrow></math></span>.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"323 ","pages":"Article 113628"},"PeriodicalIF":3.8,"publicationDate":"2025-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145011143","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}
Guofang Zhao , Yadong Liu , Xiaoyong Wu , Zhanyou Yan , Xiangyang Lv
{"title":"Dynamic response of vehicle–road coupling with initial defects in asphalt pavements by discrete element method","authors":"Guofang Zhao , Yadong Liu , Xiaoyong Wu , Zhanyou Yan , Xiangyang Lv","doi":"10.1016/j.ijsolstr.2025.113617","DOIUrl":"10.1016/j.ijsolstr.2025.113617","url":null,"abstract":"<div><div>Simulating the macroscopic physical and mechanical properties of asphalt concrete pavement with finite element theory and related software will lead to inaccurate results of vehicle–road coupling responses in the constructed model. To accurately study the influence of initial defects on the mechanical response of vehicle–road coupling in asphalt pavement, a mesoscopic multi-layer subgrade and pavement model was established using the discrete element method. This model explores the response of asphalt concrete pavements with initial defects under vehicle–road coupling. Following a comparison of the data from the uniaxial compression simulation experiments of each structural layer with the actual experimental data, multiple iterative operations were performed. The mesoscopic parameters of each pavement structural layer will be obtained and used as the model parameters. The model uses a discrete fracture network (DFN) to characterize the initial fractures inside the pavement. Research shows that the number of micro-fractures in the upper layer significantly influences the vertical and horizontal shear stresses. Similarly, the number of micro-fractures in the lower layer significantly impacts the vertical and horizontal stresses, as well as the horizontal shear stress between the upper and lower layers. When the number of micro-fractures in the lower surface layer increases, the horizontal shear stress between the upper and lower layers rises. Therefore, changes in the number of micro-fractures significantly impact the stress magnitude of each structural layer.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"323 ","pages":"Article 113617"},"PeriodicalIF":3.8,"publicationDate":"2025-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144926573","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}
Ling-Qi Wang , Zhang-Sheng Pan , Jing-Zhong Tong , Ken E. Evans , Jiajia Shen
{"title":"The mechanics of tension-driven out-of-plane buckling in auxetic plates: Bridging continuum theory and lattice metamaterials","authors":"Ling-Qi Wang , Zhang-Sheng Pan , Jing-Zhong Tong , Ken E. Evans , Jiajia Shen","doi":"10.1016/j.ijsolstr.2025.113630","DOIUrl":"10.1016/j.ijsolstr.2025.113630","url":null,"abstract":"<div><div>Shape morphing driven by structural instabilities is prevalent in nature and increasingly utilized in advanced technologies across many length scales. Auxetic materials, characterized by their negative Poisson’s ratio and large expansion under tension, offer opportunities for programmability through tailored geometries of their unit cells. In this study, we explore the out-of-plane buckling behaviour of laterally constrained auxetic plates subjected to uniaxial tension using linear buckling analysis, aiming to utilize them as effective media for programmable shape morphing. We derive an analytical model describing the out-of-plane buckling of laterally constrained auxetic plates under tension, validated via finite-element simulations. A systematic parametric analysis explores how key design parameters – Poisson’s ratio, plate aspect ratio, and boundary conditions – influence critical buckling thresholds and mode characteristics. To exploit this mechanical equivalence for design, we reveal congruent governing mechanics with their continuum counterparts, demonstrating that homogenized continuum theory accurately predicts the buckling behaviour of discrete lattice structures when unit-cell resolution meets a critical threshold. Leveraging this equivalence, we develop a machine learning surrogate model to map the geometric parameters of latticed plates to continuum plate theory, enabling rapid predictive design; 3D-printed specimens of latticed auxetic plates are experimentally characterized to validate buckling modes. By inversely computing their equivalent bending stiffness using continuum theory, we bridge the microscale geometry of metamaterials with macroscale mechanical responses. This work establishes a foundational understanding of buckling-induced shape morphing in auxetic plates, unlocking their potential in applications ranging from soft robotics and deployable structures to adaptive surfaces.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"322 ","pages":"Article 113630"},"PeriodicalIF":3.8,"publicationDate":"2025-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144912756","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}
Bilal Ahmed , Can Wang , Dagang Wang , Yunlai Zhou , Lihua Wang , Magd Abdel Wahab
{"title":"Fretting fatigue crack initiation behaviour of Ti-6Al-4V and IN-100 alloys at elevated temperatures","authors":"Bilal Ahmed , Can Wang , Dagang Wang , Yunlai Zhou , Lihua Wang , Magd Abdel Wahab","doi":"10.1016/j.ijsolstr.2025.113633","DOIUrl":"10.1016/j.ijsolstr.2025.113633","url":null,"abstract":"<div><div>Fretting fatigue is a critical concern in high temperature applications. This study presents a numerical investigation of fretting fatigue crack initiation behaviour of Ti-6Al-4 V and IN-100 alloys at elevated temperatures. Three multiaxial fatigue damage parameters are considered, namely the stress-based Findley Parameter (FP), the strain-based Fatemi–Socie (FS) parameter, and the strain energy-based Smith–Watson–Topper (SWT) parameter. A new zone-based method is proposed to estimate crack initiation parameters, based on subsurface stress averaging across discretized angular zones beneath the contact surface. The numerical predictions are validated against experimental data from the literature. FS and SWT parameters demonstrate improved predictive capability under elevated temperatures due to their ability to capture the effect of thermal strains. In contrast, FP, being purely stress-based, does not account for the strains and thus exhibits reduced accuracy at high temperatures. The zone-based method shows improved accuracy for crack orientation.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"322 ","pages":"Article 113633"},"PeriodicalIF":3.8,"publicationDate":"2025-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144912755","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}
Ved Prakash Dubey , Mateusz Kopec , Magdalena Łazińska , Zbigniew L. Kowalewski
{"title":"Yield surface and texture evolution in Ti-Cu Bimetal: Effects of tension and Tension-Cyclic torsion Pre-Deformation","authors":"Ved Prakash Dubey , Mateusz Kopec , Magdalena Łazińska , Zbigniew L. Kowalewski","doi":"10.1016/j.ijsolstr.2025.113632","DOIUrl":"10.1016/j.ijsolstr.2025.113632","url":null,"abstract":"<div><div>Investigating of the material properties and physical mechanisms responsible for plastic deformation caused by complex loading is crucial for bimetallic structures. These materials are a type of functionally graded multi-material structures designed to combine diverse material properties within the same framework while optimizing manufacturing costs. In the present work, the initial yield surface and its subsequent evolution were determined for a Ti-Cu bimetal based on the definition of yield stress for 0.01% plastic offset strain. The subsequent yield surfaces were determined after introducing monotonic axial tension and axial tension-cyclic torsion pre-deformation up to 1% permanent axial strain. It was found, that the determined initial yield surface was close to the Huber-von Mises-Hencky isotropic yield locus. Furthermore, subsequent yield surfaces were determined to assess a hardening/softening effect in the loading direction applied. Interestingly, only the monotonic tension caused a significant enhancement of the tensile yield strength as the monotonic tension associated with cyclic torsion caused its reduction. On the other hand, the sizes of subsequent yield surfaces reflecting pre-deformation were reduced in the axial compression direction. Finally, microstructural studies revealed, that only shear strain magnitude affects the yielding behaviour of bimetallic structure since more slip systems were activated when the higher strain magnitude was applied. Consequently, material recrystallization and subsequent softening in the radial direction (RD) occurred. The texture evolution is primarily interface-driven and deformation-mode dependent.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"322 ","pages":"Article 113632"},"PeriodicalIF":3.8,"publicationDate":"2025-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144902938","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":"Effects of buckling struts on the fracture toughness of triangular lattices","authors":"Melle Gruppelaar, Eral Bele, P.J. Tan","doi":"10.1016/j.ijsolstr.2025.113627","DOIUrl":"10.1016/j.ijsolstr.2025.113627","url":null,"abstract":"<div><div>The effect of strut-buckling on the fracture toughness of elastic-brittle triangular lattices is investigated using the finite element method. Buckling of struts in the vicinity of a crack-tip is shown to precede fracture contingent on the relative density and strut material. Under idealised <span><math><mi>K</mi></math></span>-field conditions, it was found that the buckling struts act as a toughening mechanism in Mode I loading and lead to a knockdown in fracture toughness in Mode II. Linear perturbation analyses reveal the transition relative density below which strut-buckling precedes fracture, and its dependence upon the fracture strain of the strut material. A power-law scaling relationship between fracture toughness and relative density is proposed for the regime where buckling of constituent struts can occur before fracture. It will be shown that strut-buckling can lead to elastic crack-tip blunting and to the development of compliant layers of cells with reduced stiffness. Subsequently, the effects of mode mixity and <em>T</em>-stress on the transition relative density and deviation from the traditional fracture toughness scaling law are addressed. Buckling struts act as a toughening mechanism in modes with predominantly Mode I influence and lead to a knockdown in toughness for modes with more than 25% Mode II contribution. The inclusion of negative <em>T</em>-stress leads to an increase in the transition relative density and to significant toughness knockdown after the onset of buckling in Mode I.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"322 ","pages":"Article 113627"},"PeriodicalIF":3.8,"publicationDate":"2025-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144909053","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}