International Journal of Solids and Structures最新文献

{"title":"Corrigendum to “Thermodynamics-informed multi-head attention neural networks for constitutive modelling” [Int. J. Solids Struct. 328 (2026) 113845]","authors":"Xuyang Zhang , Qiang Chen , Rúben Lourenço , Mohammed El Fallaki Idrissi , Xuefeng Chen , George Chatzigeorgiou , Fodil Meraghni","doi":"10.1016/j.ijsolstr.2026.113872","DOIUrl":"10.1016/j.ijsolstr.2026.113872","url":null,"abstract":"","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"329 ","pages":"Article 113872"},"PeriodicalIF":3.8,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146190075","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":"Oxygen-mediated inhibition of gaseous hydrogen embrittlement in pipeline steels: sub-size specimen testing and coupled diffusion-damage modeling","authors":"P. Fernández-Pisón ,&nbsp;L.M. Santana ,&nbsp;Q. Sellam ,&nbsp;V. Farrugia ,&nbsp;Y. Madi ,&nbsp;J. Besson","doi":"10.1016/j.ijsolstr.2026.113832","DOIUrl":"10.1016/j.ijsolstr.2026.113832","url":null,"abstract":"<div><div>Hydrogen embrittlement (HE) poses a major challenge for safe hydrogen transport, particularly in repurposed natural gas pipelines. Trace oxygen additions can mitigate HE, yet their effectiveness remains insufficiently understood. This study examines the influence of 50–500 vppm oxygen in gaseous HE on a modern E355 mod. steel using sub-size tensile specimens. Tests were performed at <span><math><mrow><mn>100</mn></mrow></math></span> and <span><math><mrow><mn>200</mn></mrow></math></span> bar, with strain rates of <span><math><mrow><mn>1</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>5</mn></mrow></msup></mrow></math></span> and <span><math><mrow><mn>5</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>4</mn></mrow></msup></mrow></math></span> s⁻¹. In pure hydrogen, the reduction of area decreased from 80% in air to 55% (<span><math><mrow><mn>100</mn></mrow></math></span> bar, fast rate), 45% (<span><math><mrow><mn>200</mn></mrow></math></span> bar, fast rate), and 40% (<span><math><mrow><mn>100</mn></mrow></math></span> bar, slow rate), indicating severe embrittlement. Oxygen additions progressively recovered ductility, with inhibition effectiveness rising from 35–50% (50 vppm and <span><math><mrow><mn>100</mn></mrow></math></span> bar) to 80% (500 vppm and <span><math><mrow><mn>200</mn></mrow></math></span> bar). Fractography revealed reduced hydrogen-induced surface cracking and enhanced ductile features with increasing oxygen content. Finite-element simulations employed a modified nonlocal GTN model coupled with hydrogen diffusion, extended here with an <em>ad hoc</em> diffusion boundary condition to represent oxygen-induced inhibition. To our knowledge, this is the first FE framework to explicitly account for environmental inhibition effects. The model successfully reproduced key experimental trends, including oxygen-mediated ductility recovery, strain-rate-sensitive stress drops, and the transition from surface- to internally-initiated damage. This integrated experimental-modeling approach provides a mechanistic basis for interpreting oxygen-mediated inhibition, quantifies the beneficial effect of trace oxygen, and establishes a foundation for predictive assessments of hydrogen uptake and damage evolution in steels under potential pipeline inhibition conditions.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"329 ","pages":"Article 113832"},"PeriodicalIF":3.8,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145996483","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Mechanical dissipation in random fiberglass networks under small strains","authors":"Gregoire Markey ,&nbsp;Etienne Barthel ,&nbsp;Catalin R. Picu","doi":"10.1016/j.ijsolstr.2026.113854","DOIUrl":"10.1016/j.ijsolstr.2026.113854","url":null,"abstract":"<div><div>Glass wool is used extensively for thermal and acoustic insulation in buildings, appliances, automotive and aerospace applications. In this work we study the response of fiberglass networks crosslinked using polymeric binders to small amplitude oscillatory excitation in the low acoustic frequency range. Two types of binders are used, with low and high damping, and a range of fiber densities and binder volume fractions are considered. We report the scaling of storage and loss moduli of the network with these parameters. Further, we evaluate the loss factor and find that it is independent of the fiber mass density but is power law related to the binder volume fraction. We develop a model that provides a mechanistic basis for the experimental results reported and may guide material design.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"329 ","pages":"Article 113854"},"PeriodicalIF":3.8,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146036750","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":"Reformulating a Gurson-based dynamic damage model and demonstrating improved predictive power and numerical robustness","authors":"Thao Nguyen,&nbsp;Darby J. Luscher,&nbsp;Miles Buechler,&nbsp;Michael B. Prime,&nbsp;Saryu J. Fensin","doi":"10.1016/j.ijsolstr.2026.113833","DOIUrl":"10.1016/j.ijsolstr.2026.113833","url":null,"abstract":"<div><div>The original Tepla (TEnsile PLAsticity) ductile damage model, based on the Gurson yield surface, has long been used to model damage evolution and material failure under dynamic loading. Unfortunately, Tepla suffered from mesh sensitivity, numerical instability, and limited predictive capability. Here, we theoretically reformulate Tepla to address these issues. We especially focus on the prediction of porosity, which is the key state variable used for modeling ductile damage, as compared to more easily measured surface velocities, which are at best an indirect measure of damage. Key model changes include separating the viscosity during volumetric void growth from underlying shear strength behavior and switching to an iterative bisection solver. The new Tepla is then calibrated on incipient spall experiments on half-hard copper and tantalum, which demonstrate its ability to <em>simultaneously</em> fit the model to recovered porosity distributions and measured surface velocities, a stringent test. Improved numerical behavior, such as greatly reduced mesh sensitivity, is also shown in those simulations. Finally, the new Tepla model is applied to several high-explosive loaded, sweeping wave experiments, showing the ability of the model to predict behavior on tests with significantly different loading conditions and histories than the calibration data.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"329 ","pages":"Article 113833"},"PeriodicalIF":3.8,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146036726","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":"Research on the repeated folding mechanism of membrane antennas based on crease endurance degradation","authors":"Zhiyuan Li,&nbsp;Yuang Zhang,&nbsp;Wang Zhong,&nbsp;Yiqun Zhang,&nbsp;Zihan Sun,&nbsp;Naigang Hu","doi":"10.1016/j.ijsolstr.2026.113856","DOIUrl":"10.1016/j.ijsolstr.2026.113856","url":null,"abstract":"<div><div>Deployable membrane antennas are extensively utilized in space exploration due to their high packing efficiency and lightweight properties. Prior to orbital deployment, these antennas must undergo repeated ground-based deployment tests to verify their reliability and performance during deployment. However, repeated deployment aggravates damage at the membrane creases, compromising structural integrity and deployment accuracy. To address this issue, this paper establishes an endurance degradation model for membrane creases under repeated folding based on experimental data, and derives a quantitative relationship between the crease characteristic dimension (i.e., crease angle) and the number of folding cycles. A deployment analysis model for the membrane structure is then developed based on the Flasher folding method, incorporating the effects of both repeated folding and initial bending stress at the creases on deployment behavior. Through the stress-bending moment relationship, it is demonstrated that an increasing number of folding cycles leads to higher initial bending stress at the creases, resulting in a significant reduction in deployment accuracy. Concurrently, the energy required for the deployment process, i.e., the driving force, increases substantially. Finally, repeated folding-deployment experiments were conducted on a prototype planar membrane antenna. The experimental results validate the crease endurance degradation model and confirm the mechanistic influence of repetitive folding on the unfolding process.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"329 ","pages":"Article 113856"},"PeriodicalIF":3.8,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146036724","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":"Phase-field fracture modeling of polycrystalline quasicrystals subjected to hydrogen embrittlement","authors":"Hongzhao Li ,&nbsp;Raj Kiran ,&nbsp;Yu Tan ,&nbsp;Haidong Fan ,&nbsp;Qingyuan Wang ,&nbsp;Peidong Li","doi":"10.1016/j.ijsolstr.2026.113853","DOIUrl":"10.1016/j.ijsolstr.2026.113853","url":null,"abstract":"<div><div>Quasicrystals (QCs) have demonstrated excellent hydrogen storage capabilities, making them promising candidates for hydrogen-related applications. However, exposure to hydrogen can significantly affect their mechanical integrity. In this study, a phase-field fracture model (PFM) is proposed to predict fracture behaviors of polycrystalline QCs in a hydrogen-containing environment. The damage-field and interface-field variables are introduced to regularize the cracks and interfaces (or grain boundaries) in QCs, respectively. An equivalent critical energy release rate is introduced to characterize the influence of the interfaces (or grain boundaries) on hydrogen-assisted crack propagation. The present model is numerically implemented in <span>Comsol</span> Multiphysics based on the W<span>eak</span> F<span>orm</span> PDE module. Several numerical examples are conducted to validate the ability of the proposed model to predict the fracture behaviors of QCs and to analyze the influence of hydrogen concentration on the fracture mechanism of QCs. Numerical results indicate that the hydrogen concentration and interfaces (or grain boundaries) significantly influence the crack propagation paths and the peak force and failure displacement in the fracture test of QCs. The existence of hydrogen decreases the critical fracture load and promotes the crack propagation in QCs significantly. The developed phase-field framework and numerical implementation approach provide a convenient tool for predicting fracture failure and assessing the service reliability of polycrystalline QCs in complex hydrogen-containing environments.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"329 ","pages":"Article 113853"},"PeriodicalIF":3.8,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146090407","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":"Mathematical modelling and dynamic analysis of visco-elastic woven fabric composite shafts","authors":"Aditya Sharma ,&nbsp;Krishanu Ganguly ,&nbsp;Rajan Prasad ,&nbsp;Jayanta Kumar Dutt","doi":"10.1016/j.ijsolstr.2026.113855","DOIUrl":"10.1016/j.ijsolstr.2026.113855","url":null,"abstract":"<div><div>The present work investigates the dynamic behaviour of viscoelastic composite shafts by developing a detailed mathematical model for woven fabric composites. Frequency-dependent properties of the epoxy resin are obtained using a Dynamic Mechanical Analyzer (DMA) and subsequently curve-fitted to derive a viscoelastic operator through a Genetic Algorithm–based optimization scheme. The key novelty of this study lies in proposing an operator-based composite modulus formulation, wherein elastic fibers are integrated into the viscoelastic matrix at the constitutive level, enabling a frequency-dependent representation of woven composites. This integration yields a theoretical operator modulus for the composite based on the rule of mixture concept that naturally introduces higher-order terms into the governing equations of motion. The proposed theoretical operator modulus is further experimentally validated by fabricating and testing a woven fabric composite in DMA. The validated model is then employed to analyze the dynamic behaviour of a viscoelastic shaft–rotor system. The influence of fiber orientation on system stability is examined, revealing a symmetric stability pattern, with minimum stability at 45° and maximum stability at 0° and 90° orientations relative to the spin axis. This behaviour is attributed to the alignment of fibers along principal stiffness directions. The findings underscore the critical importance of fiber orientation and provide a robust, experimentally supported modelling framework for designing dynamically stable composite shafts.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"329 ","pages":"Article 113855"},"PeriodicalIF":3.8,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146090333","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":"Data-Driven-Design (D3) of multi-material systems: A novel framework and its application to viscoelastic metamaterials","authors":"Rayehe Karimi Mahabadi,&nbsp;Hossein Salahshoor","doi":"10.1016/j.ijsolstr.2026.113844","DOIUrl":"10.1016/j.ijsolstr.2026.113844","url":null,"abstract":"<div><div>While multimaterial additive manufacturing enables finely programmed heterogeneity, there remains no robust and objective-driven framework to assign materials across complex architectures under practical constraints. We introduce Data-Driven-Design (<span><math><msup><mrow><mi>D</mi></mrow><mrow><mn>3</mn></mrow></msup></math></span>) as a robust computational framework for multi-material lattice design, optimized with respect to a prescribed performance objective. The framework relies on representing physical constraints, material data, and design objectives as sets in a phase space and formulating the material selection problem as a distance minimization problem among the encoded sets. We showcase the approach in multi-material design of viscoelastic lattices provided with measurements of complex moduli as a function of frequency with the design objective of maximizing dissipation. For our numerical experiments, we import dynamic viscoelasticity measurement for twenty five different materials from literature, and show that multi-material designs can match or outperform the dissipation obtained from homogeneous designs made of the <em>most dissipative material</em> among the data registry. In a finite lattice example, we show that <span><math><msup><mrow><mi>D</mi></mrow><mrow><mn>3</mn></mrow></msup></math></span> design yields a mechanical dissipation with 300% increase compared to best homogeneous design from a limited collection of materials. Beyond viscoelastic lattices, the <span><math><msup><mrow><mi>D</mi></mrow><mrow><mn>3</mn></mrow></msup></math></span> framework generalizes naturally to multi-physics and multi-objective metastructure design, offering a unified, data-driven approach to optimal material selection under complex constraints.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"329 ","pages":"Article 113844"},"PeriodicalIF":3.8,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146090417","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":"Design, fabrication, and characterization of solid–liquid dual-state mechanical metamaterials","authors":"Xiaojun Tan ,&nbsp;Jian Ma ,&nbsp;Shaohua Liu ,&nbsp;Bo Cao ,&nbsp;Xueyan Chen ,&nbsp;Bing Wang ,&nbsp;Muamer Kadic","doi":"10.1016/j.ijsolstr.2026.113865","DOIUrl":"10.1016/j.ijsolstr.2026.113865","url":null,"abstract":"<div><div>High-performance and reusable energy-absorbing materials have tremendous potential in industrial applications. Achieving both high performance and reusability has long been a challenge due to their apparent incompatibility. To address this, we proposed a solid–liquid dual-state mechanical metamaterial. This metamaterial exhibits robust mechanical properties when the liquid metal is solid and achieves high energy absorption through its plastic deformation. Upon heating-induced solid–liquid state transition, its deformed state fully recovers its initial state, ensuring reusability. The metamaterials can be fabricated by injecting liquid metal into an hollow elastic lattice structure manufactured through additive manufacturing processes. The mechanical properties of solid–liquid dual-state mechanical metamaterials prepared from different liquid metal, such as gallium, Field’s metal, and Wood’s metal, are analyzed in this paper through a combined approach of experiments, theoretical analysis, and numerical simulations. The results reveal that the proposed metamaterial significantly outperforms all previously reported reusable energy-absorbing materials in specific energy absorption (SEA). This breakthrough driven by the solid–liquid state transition redefines the limits of reusable energy absorption and opens the path to develop a complete family of robust, reusable materials.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"329 ","pages":"Article 113865"},"PeriodicalIF":3.8,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146036727","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":"Computational study of nanoindentation on an elastoplastic solid with an interface parallel to the indentation direction","authors":"Takashi Akatsu ,&nbsp;Wataru Kubota ,&nbsp;Yutaka Shinoda ,&nbsp;Fumihiro Wakai","doi":"10.1016/j.ijsolstr.2026.113857","DOIUrl":"10.1016/j.ijsolstr.2026.113857","url":null,"abstract":"<div><div>Nanoindentation has been developed to map the local mechanical properties of heterogeneous solids. Although the local properties at the indentation site are required for mapping, the map resolution worsens because of the deformation of other components surrounding the indentation, such as the grains encompassing an indentation in heterogeneous polycrystals. To quantify the transitional change in a <em>P</em>-<em>h</em> curve with an increase in <em>h</em>, where <em>P</em> is the indentation load and <em>h</em> is the indentation penetration depth, this study proposes weight functions. These functions aim to quantify point-sharp nanoindentations on a circular column embedded in a matrix, which has an interface parallel to the indentation direction. The mechanical properties of the column can be accurately evaluated by extrapolating the weight functions to an indentation depth of zero, which improves the map resolution. When comparing the effects of the parallel and vertical interfaces, the impact of the vertical interface on the <em>P</em>-<em>h</em> curve is more significant than that of the parallel interface. This suggests that the correlation between the heterogeneity of local mechanical properties and the microstructure observed at the surface is controversial.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"329 ","pages":"Article 113857"},"PeriodicalIF":3.8,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146036728","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}