{"title":"Asymptotic lower and upper bound solutions for lateral torsional buckling of elastic thin-walled beams with mono-symmetric open sections","authors":"Y. Wen , Y.X. Liu","doi":"10.1016/j.tws.2025.113436","DOIUrl":"10.1016/j.tws.2025.113436","url":null,"abstract":"<div><div>Asymptotic lower and upper bounds to the critical load provide a powerful means of ensuring the stability design with clear margin of safety. However, potential energy-based approaches always lead to an upper bound. Although continuing efforts are devoted to predicting a lower limit, there evidently lacks a consistent approach for predicting the lower bound estimates that are asymptotically close to ever-improving upper bound estimates. This paper is intended to propose a novel method of successive approximations for arriving at asymptotic lower and upper bounds to elastic lateral torsional buckling load of thin-walled beams with mono-symmetric open sections. A deformation-field-independent statically admissible system as indicated by the stress field due to disturbing torque acted at preset stations is employed in the complementary energy formulation. Based on Castigliano’s second theorem and Betti’s reciprocal theorem, a compatibility equation in terms of given location of disturbing torque is derived to determine the critical load. The minimum and maximum values obtained represent the absolute lower and upper bounds. The compatibility equation based on the absolute upper bound is iteratively used for updating the buckling modes at all stations, which are interpolated by using Lagrange polynomials to approximate the buckling mode shapes. Examples demonstrate that the proposed method provides asymptotic lower and upper bounds with minimal approximations. The lower bound with a relative difference within 5 % to the upper bound provides an accurate and safe alternative to the exact critical load under typical loading and constraint conditions.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"215 ","pages":"Article 113436"},"PeriodicalIF":5.7,"publicationDate":"2025-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144123948","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Bo Feng , Yongxiang Dong , Qiang Min , Jian Liu , Xinping Shi , Yumo Tian , Fengjiang An
{"title":"Ballistic performance of CFRP under normal and oblique impacts by square fragments: Experimental, numerical, and theoretical investigations","authors":"Bo Feng , Yongxiang Dong , Qiang Min , Jian Liu , Xinping Shi , Yumo Tian , Fengjiang An","doi":"10.1016/j.tws.2025.113434","DOIUrl":"10.1016/j.tws.2025.113434","url":null,"abstract":"<div><div>High-performance carbon fibre-reinforced polymer (CFRP) composites are commonly used as external protective structures in military and aerospace applications and are frequently subjected to impact from fragments or projectiles. This study investigated the damage mechanisms of CFRP laminates under normal and oblique impacts from square fragments. Impact tests were conducted on 3–9 mm CFRP laminates using 4 g and 7 g square fragments at velocities ranging from 100 to 1300 m/s and impact angles from 0° to 60° Finite element simulations based on yarn-scale models were also performed. The results revealed that under oblique penetration conditions, the fragment edge initially contacting the target plate caused deeper shear damage. An analytical model was developed to predict the residual velocity of the fragments and the ballistic limit velocity (BLV) of the CFRP laminates. The average error between the model predictions and experimental results was 8.42 %, whereas that between the predictions and simulation results was 3.69 %. Interestingly, the analysis revealed a non-zero minimum resistance angle for the laminate under square fragment impact, at which the BLV of the target plate was minimised. The predicted distribution range of the minimum resistance angle in this study was 23–28° The developed predictive model and identified \"minimum resistance angle\" provide theoretical foundations for protective engineering design, bridging laboratory research to real-world high-risk applications such as military and aerospace.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"215 ","pages":"Article 113434"},"PeriodicalIF":5.7,"publicationDate":"2025-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144071171","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Guoliang Shi , Zhansheng Liu , Dechun Lu , Xiuli Du , Qingwen Zhang
{"title":"Analysis method for impact mechanical response and failure mode of cable truss structure","authors":"Guoliang Shi , Zhansheng Liu , Dechun Lu , Xiuli Du , Qingwen Zhang","doi":"10.1016/j.tws.2025.113438","DOIUrl":"10.1016/j.tws.2025.113438","url":null,"abstract":"<div><div>How to continuously and dynamically analyze the influence of impact load on the structure and give reasonable maintenance measures has become the key to health monitoring of large cable structures. In this study, a cable truss structure is taken as the research object. An analysis method of impact mechanical response and failure mode is proposed. Firstly, according to the experimental model of a cable truss structure, the impact load condition and mechanical response acquisition mechanism are designed. The measured parameters are used as indicators to evaluate the simulation accuracy of the model. A structural simulation model is established to obtain the mechanical response under various impact loads. The evaluation method of structural failure mode and the concept of structural overall damage index are proposed. By establishing the corresponding relationship between the failure mode and the damage index, the control equation of the structural failure mode is formed. In order to give effective measures to maintain the safety of the structure, the key parameters of the structure are analyzed. Considering the randomness of impact load, a mechanical response prediction method based on CNN-BiLSTM optimized by IPSO is proposed. Combined with the finite element simulation data samples and prediction methods, the mapping relationship between the impact load condition and the overall damage index of the structure is established. The research results show that the accuracy of the established simulation model and calculation method is >95 %, and the performance law of the structural failure mode is effectively obtained. The improved deep learning prediction model realizes the continuous dynamic analysis of structural mechanical response, and the analysis error and time cost are reduced by 10.3 % and 25.3 % respectively.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"215 ","pages":"Article 113438"},"PeriodicalIF":5.7,"publicationDate":"2025-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144069817","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Web crippling of stainless steel built-up sections subjected to interior-two-flange loading","authors":"Yannan Jing , Shuai Li , Ke Jiang , Ou Zhao","doi":"10.1016/j.tws.2025.113427","DOIUrl":"10.1016/j.tws.2025.113427","url":null,"abstract":"<div><div>A built-up section is a composite section assembled from at least two component sections using screws, welds or bolts, providing good load-carrying capacity, optimised cross-section properties and high material efficiency. This paper focuses on the web crippling behaviour and resistances of stainless steel built-up I-sections and box-sections under Interior-Two-Flange (ITF) concentrated transverse loading. An experimental programme was firstly conducted on 23 stainless steel built-up section specimens subjected to ITF loading, including fourteen specimens with I-sections and nine specimens with box-sections. A numerical modelling programme was also performed to investigate the web crippling behaviour of stainless steel built-up sections with wide ranges of screw arrangements, cross-section dimensions and bearing lengths. Finite element (FE) models were validated against the experimental data, confirming the capability of the FE models to accurately replicate the ITF loading test results. After validation of the FE models, parametric studies were conducted to generate additional numerical data. The experimental and numerical data were then used to assess the current American specification and European code for designing stainless steel built-up sections under ITF loading. The assessment results revealed that the American specification offered overall accurate failure load predictions though some were unsafe, while the European code provided excessively conservative and scattered failure load predictions. Hence, an improved design approach was proposed and considered the effects of the screw arrangements and material properties of stainless steel, offering accurate, consistent and safe failure load predictions of stainless steel built-up sections under ITF loading.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"215 ","pages":"Article 113427"},"PeriodicalIF":5.7,"publicationDate":"2025-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144106550","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Impact protection performance of Kevlar fabric composites impregnated with modified multiphase shear thickening fluids","authors":"Shi Liu , Chang Zhao , Zechang Wen","doi":"10.1016/j.tws.2025.113399","DOIUrl":"10.1016/j.tws.2025.113399","url":null,"abstract":"<div><div>Shear thickening fluids (STFs) exhibit significant potential for impact protection owing to their unique rheological properties. In this study, a SiO<sub>2</sub>/PEG200 dispersion system was used to formulate multi-phase STFs with a mass fraction gradient. STFs were further modified with additives, such as nanocellulose (CNC) and nano-silicon carbide (SiC), to create modified multi-phase shear thickening fluids (MSTFs). Kevlar fiber cloth was impregnated with MSTFs to prepare MSTF-Kevlar composites. Scanning electron microscopy and rheological analyses at normal temperature revealed that 58wt% was identified as the critical mass fraction for the shear-thickening effect. The modification of high-mass fraction SiO<sub>2</sub> and CNC significantly enhanced the shear thickening and energy absorption properties, while SiC mainly influenced the structure and stiffness of STF clusters. The variable-temperature rheology analysis revealed that additive modification effectively enhanced the temperature adaptability of STFs. In single-yarn and multi-yarn pulling experiments, the shear thinning behavior of MSTFs at low shear rates negatively affected the tensile strength and anti-slip properties of the yarns. However, under high shear rate conditions in drop-weight impact tests, MSTFs significantly improved the ultimate impact resistance and energy absorption capacity of the fiber cloth. Among the modified materials, CNC provided the best protective performance, while SiC enhanced the stability of material protection. Numerical simulations based on LS-DYNA further confirmed the energy absorption behavior observed in the drop-weight impact experiments. These findings provide both theoretical and experimental guidance for developing MSTF-Kevlar fiber cloth composites for impact protection applications.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"214 ","pages":"Article 113399"},"PeriodicalIF":5.7,"publicationDate":"2025-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143929267","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Numerical study on the progressive collapse of cable-stayed columns due to cable loss","authors":"Michał Kierat , Fabio Freddi","doi":"10.1016/j.tws.2025.113439","DOIUrl":"10.1016/j.tws.2025.113439","url":null,"abstract":"<div><div>Extreme loading events, such as accidents, impacts, or malicious attacks, may generate local failures that can propagate to subsequent elements, leading to the ultimate collapse of a structure. Research into progressive collapse has mainly focused on structures characterised by high levels of redundancy (<em>e.g.,</em> moment-resisting frames). Conversely, little attention has been given to low-redundant structures (<em>e.g.,</em> cable-stayed), which may be characterised by higher vulnerability to progressive collapse due to limited alternative load paths. This paper focuses on a distinct form of cable-stayed structures, <em>i.e.,</em> cable-stayed columns, evaluating their robustness by considering a cable loss scenario and identifying measures able to reduce the risk of progressive collapse. A variety of bay/branch configurations with fixed and pinned cross-arms were investigated through Finite Element (FE) models developed in OpenSees, accounting for material and geometric non-linearities. An extensive parametric study was initially performed to evaluate the influence of variables on the load-carrying capacity. Cable loss scenarios were successively simulated in non-linear quasi-static and dynamic analyses. Incremental Dynamic Analyses (IDAs) were also conducted to estimate Dynamic Increase Factors (DIFs) for mid-node displacement, axial, and reaction forces (proxy for load-carrying capacity) for several non-dimensional slenderness ratios. In all cases, significant reductions in the buckling load were recorded, with dynamic effects amplifying the columns’ response. The present paper sheds light on the performance and design of cable-stayed columns under cable loss scenarios. The results show that, whilst additional branches in the geometric configuration were found to be beneficial in maintaining capacities under cable loss, the appropriate selection of cross-arm profile and its bending stiffness were vital in reducing the risk of collapse.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"215 ","pages":"Article 113439"},"PeriodicalIF":5.7,"publicationDate":"2025-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144146930","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Seismic intelligent retrofitting of aging steel structure using semi-active TMD with LSTM prediction and wavelet transform combined algorithm","authors":"Han Zhang , Liangkun Wang , Weixing Shi","doi":"10.1016/j.tws.2025.113431","DOIUrl":"10.1016/j.tws.2025.113431","url":null,"abstract":"<div><div>Seismic structural control is critical for mitigating seismic damage to steel structures, particularly in the seismic-retrofitting and strengthening of damaged or aging structures. Conventional passive tuned mass dampers (PTMDs) are limited by their dependence on accurate structural information and specific external excitations to achieve optimal performance. When structural stiffness degrades owing to aging-related deterioration, PTMDs typically fail to maintain an effective vibration mitigation performance. Hence, to improve retrofitting performance and enhance applicability to stiffness-degraded structures, this study proposes a semi-active TMD (STMD) control algorithm that can dynamically adjust stiffness and frequency in response to structural movements. The proposed intelligent control algorithm uses a long short-term memory (LSTM) neural network to predict structural responses combined with instantaneous frequency identification via wavelet transform (WT). Two cases, i.e., a single-degree-of-freedom (SDOF) structure and a multi-DOF structure, are considered to evaluate the effectiveness of the combined LSTM-WT algorithm. First, the frequency-response curve of the SDOF structure is calculated. Subsequently, the response of a 10-story shear-type structure is analyzed under the excitation of 10 different earthquake waves. The results are compared with those obtained using an optimized passive TMD and an STMD with the WT algorithm. Furthermore, to demonstrate the control robustness and seismic-retrofitting capability of the proposed combined algorithm, the control effects of the three controllers are compared while considering a 20 % reduction in structural stiffness. The numerical results highlight the effectiveness and robustness of the combined LSTM-WT algorithm across various seismic excitation frequency ranges, thus confirming its potential for practical applications in the intelligent seismic-retrofitting of damaged and aging steel structures.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"214 ","pages":"Article 113431"},"PeriodicalIF":5.7,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143941502","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ben Jiang , Weinan Gao , Zhimin Xie , Damiano Pasini , Huifeng Tan
{"title":"Thin-walled tubular structures integrating origami patterns and tension-dominated bulkheads for enhanced energy absorption","authors":"Ben Jiang , Weinan Gao , Zhimin Xie , Damiano Pasini , Huifeng Tan","doi":"10.1016/j.tws.2025.113433","DOIUrl":"10.1016/j.tws.2025.113433","url":null,"abstract":"<div><div>In recent years, various strategies have been developed to improve the crashworthiness of thin-walled tubular structures. These methods primarily focus on energy absorption mechanisms such as material bending, fracture, and torsion. However, the outcome of these strategies appears to have reached a limit. For instance, the absorption of bending energy cannot be increased indefinitely by continuously introducing additional plastic hinges. To address this issue, this paper introduces a thin-walled tubular structure that leverages a Miura-inspired origami pattern combined with periodically arranged tension-dominated bulkheads at the creases. We demonstrate that the tensile action of the bulkheads and the partially folded origami pattern can reduce the peak load under compression, hence enhancing the crashworthiness. Tubes featuring origami patterns only(ori-b), as well as tubes that include both origami patterns and bulkheads(ori-b-t), were 3D printed via selective laser melting. The quasi-static compression test results reveal that the ori-b-t achieves a 50 % reduction in peak crushing force, while its crushing force efficiency is enhanced by 2.4 times compared to the square tube. The super-folding element theory was used to predict the mean load. The results show that after incorporating bulkheads, the percentage of energy absorbed via tensile action increased from 34 % to 59 % with respect to ori-b of the same thickness. Finally, numerical simulations mapped the role of a set of structural parameters—such as cross-section dimensions, number of modules, and relative thickness—on their crashworthiness and deformation modes. This study introduces a tensile deformation mechanism into thin-walled tubes with origami patterns for the first time, providing a new reference for the development of high-performance energy-absorbing structures.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"215 ","pages":"Article 113433"},"PeriodicalIF":5.7,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144071172","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pedro Bührer Santana , A.J.M. Ferreira , Herbert Martins Gomes , Volnei Tita
{"title":"Trigonometric shear deformation theories for geometric nonlinear analysis of curved composite laminated shells: Post-buckling prediction using a parallelized approach","authors":"Pedro Bührer Santana , A.J.M. Ferreira , Herbert Martins Gomes , Volnei Tita","doi":"10.1016/j.tws.2025.113379","DOIUrl":"10.1016/j.tws.2025.113379","url":null,"abstract":"<div><div>This paper introduces a set of trigonometric shear deformation theories for the nonlinear geometric analysis of generally curved laminated composite shells with focus on post-buckling prediction. The suggested framework uses a degenerated shell element associated to trigonometric expansion and a generalized displacement control method to get a stable, accurate, and computationally efficient solution. One important benefit of adopting a higher-order shear theory is getting better stress fields without using correction factors, in addition to the solution stability in geometric nonlinear analysis, although at the cost of a moderate increase in the number of degrees of freedom (DOF) per node. The theory is implemented in MATLAB using an improved object-oriented programming and parallel processing approach to assemble the stiffness matrices, enhancing the efficiency of the analysis. Comparisons with published data for moderately thick and curved shells and composite laminated plates corroborate the suggested theory’s accuracy and efficacy. The findings reveal that trigonometric shear deformation theories overcome the limits of first-order shear deformation theories and other expansions, producing accurate results with just a minor increase in computational complexity.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"214 ","pages":"Article 113379"},"PeriodicalIF":5.7,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143948711","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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 theoretical studies on initial stiffness of Fe-SMA/steel single-lap shear joints for structural reinforcements","authors":"Yue Shu, Xuhong Qiang, Xu Jiang","doi":"10.1016/j.tws.2025.113432","DOIUrl":"10.1016/j.tws.2025.113432","url":null,"abstract":"<div><div>Based on bonding and activating technology, iron-based shape memory alloy (Fe-SMA) is extensively employed to repair and retrofit in-service steel structures. Stiffness is an important parameter utilized to infer the degree of damage to steel structures, which is meaningful for the deformation capacity of the whole structure. This study proposes a theoretical formula based on the shear-lag model to forecast the initial stiffness of Fe-SMA/steel single-lap shear joints (SSJs), considering the uneven tensile stress along the lap length of the upper substrate. The initial stiffnesses of 90 specimens are studied through shear tests. The accuracy of finite element (FE) models of Fe-SMA/steel SSJs and theoretical formulas is verified by the test results. Additionally, 60 FE models are established to assess the applicability of the derived formula on other types of SSJs with composite substrates. A parametric study containing 90 FE models is further implemented to explore the initial stiffness of Fe-SMA/steel SSJs. Results demonstrate that the performance degradation of the adhesives noticeably affects the initial stiffness of specimens under aging conditions. Compared with test results, the maximum and average errors of the theoretical formula on the initial stiffness of specimens are 18 % and 1 %, respectively, indicating satisfactory accuracy. Lap length has a negligible effect on the initial stiffness of the SSJs, whereas the initial stiffness exhibits a linear relationship with the enhancement of Fe-SMA thickness and lap width. The experimental and theoretical achievements regarding the initial stiffness of the SSJs are critical for ensuring structural safety, advancing the utilization of Fe-SMA, and optimizing the strengthening design of in-service steel infrastructures.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"214 ","pages":"Article 113432"},"PeriodicalIF":5.7,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143941504","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}