Mechanics of Time-Dependent Materials最新文献_第6页

A terminal creep line-based creep model for clay under evolving effective stress 有效应力变化下基于末端蠕变线的粘土蠕变模型

IF 2.3 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-04-20 DOI: 10.1007/s11043-026-09877-1

Hosung Shin

{"title":"A terminal creep line-based creep model for clay under evolving effective stress","authors":"Hosung Shin","doi":"10.1007/s11043-026-09877-1","DOIUrl":"10.1007/s11043-026-09877-1","url":null,"abstract":"<div><p>Creep in clay significantly influences the long-term performance of geotechnical structures. Although Hypothesis B, in which creep develops under evolving effective stress, is widely accepted for one-dimensional clay creep, many existing soil mechanics models still assume constant effective stress after the onset of creep and are therefore not explicitly formulated for evolving stress conditions. Conventional creep models are also limited by discrepancies between laboratory and field conditions, insufficient representation of over-consolidation ratio (OCR) effects, and reliance on elapsed time as the primary constitutive variable. This study proposes a creep model for clay based on the terminal creep line (TCL) concept. The volumetric creep strain rate is formulated as a state-dependent constitutive law governed by the current void ratio relative to the terminal state. The model provides a unified description of contractive and dilative volumetric creep and is consistent with both the isotache concept and Hypothesis B. An analytical relationship between pre-consolidation pressure and strain rate is derived from the model and is shown to agree well with experimental data. The formulation also reproduces the strong OCR dependence of creep behavior, including the marked reduction in contractive creep as OCR increases and unloading-related delayed volumetric expansion at high OCR. In addition, a time-shifted deviatoric creep law is reformulated into a time-independent incremental form and combined with the volumetric model to obtain a multi-dimensional creep strain-rate tensor, providing a constitutive framework for numerical implementation under evolving effective stress.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 2","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738008","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Evolution of cyclic impact damage in weathered granite based on dual-scale fractal analysis 基于双尺度分形分析的风化花岗岩循环冲击损伤演化

IF 2.3 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-04-15 DOI: 10.1007/s11043-026-09876-2

Jianli Cao, Gang Wang, Hangli Gong, Leibo Song, Zhihai He, Bolong Liu

{"title":"Evolution of cyclic impact damage in weathered granite based on dual-scale fractal analysis","authors":"Jianli Cao, Gang Wang, Hangli Gong, Leibo Song, Zhihai He, Bolong Liu","doi":"10.1007/s11043-026-09876-2","DOIUrl":"10.1007/s11043-026-09876-2","url":null,"abstract":"<div><p>The mechanical behavior and damage evolution of weathered granite under cyclic impact loading are examined using scanning electron microscopy (SEM), split Hopkinson pressure bar (SHPB) cyclic impact tests, and fractal analysis. Granite specimens under exposure to different degrees of weathering conditions (slightly weathered, moderately weathered, and highly weathered) are characterized to quantify microcrack structures, dynamic mechanical responses, and failure features. The relationship between fractal characteristics and damage evolution is also evaluated. Results indicate that weathering significantly increases the complexity of the microcrack network. The fractal dimension of microcracks obtained using the two-dimensional box-counting method increases from 1.72 for slightly weathered granite to 1.95 for highly weathered granite. Under cyclic impact loading, increasing weathering exposure leads to faster attenuation of peak stress, greater residual strain, and a reduced strain rebound effect. The dynamic elastic modulus progressively degrades with the number of impacts, with degradation exceeding 50% in highly weathered specimens. The cumulative damage variable increases nonlinearly with weathering damage. Slightly weathered and moderately weathered samples exhibit a three-stage damage evolution process (compaction–stabilization–rapid growth), whereas highly weathered granite directly enters the rapid damage growth stage due to the development of secondary cracks. In addition, the fractal dimension of fragments increases with the degree of weathering. Both the microcrack fractal dimension and the fragment fractal dimension show strong linear correlations with weathering damage, indicating that mesoscopic fractal characteristics provide effective indicators for predicting macroscopic damage and failure.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 2","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147737684","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Creep analysis of sandstone with multiscale damage based on the generalized conformable operator 基于广义保形算子的砂岩多尺度损伤蠕变分析

IF 2.3 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-04-13 DOI: 10.1007/s11043-026-09875-3

Shuai Yang, Wentao Zhou, Senlin Xie, Hongwei Zhou, Weiguang Ren, Hongchen Song

{"title":"Creep analysis of sandstone with multiscale damage based on the generalized conformable operator","authors":"Shuai Yang, Wentao Zhou, Senlin Xie, Hongwei Zhou, Weiguang Ren, Hongchen Song","doi":"10.1007/s11043-026-09875-3","DOIUrl":"10.1007/s11043-026-09875-3","url":null,"abstract":"<div><p>Under deep coal mining conditions, complex geological environments exert a significant influence on the long-term mechanical behavior of roadway surrounding rock and induce damage evolution of the rock mass at multiple scales. As time progresses, damage continuously accumulates, leading to the evolution of the internal rock structure and ultimately threatening the long-term stability of roadways. Therefore, a systematic investigation of the long-term mechanical behavior of multiscale damaged sandstone under deep mining conditions is of great engineering significance and theoretical value. Based on this, a generalized conformable operator with a modification parameter is adopted to enhance its ability to characterize the time evolution of the internal fractal structure of rock. By coupling this operator with damage mechanics theory and incorporating the classical Nishihara model, a generalized conformable damage creep model is established. The proposed model parameters are determined by fitting the creep test data of damaged sandstone using the least-squares method. The results demonstrate that the proposed model can accurately capture the entire creep evolution process of sandstone. Furthermore, a sensitivity analysis of the key model parameters is conducted to systematically reveal their influences on creep deformation behavior, thereby further verifying the rationality and reliability of the model. The research findings provide an important theoretical basis for the long-term stability analysis and support design of roadway surrounding rock under deep mining conditions.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 2","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147737598","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Magnetorheological damper modelling with a non-parametric approach of one-dimensional LSTM and differential evolution 基于一维LSTM和微分演化非参数方法的磁流变阻尼器建模

IF 2.3 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-04-13 DOI: 10.1007/s11043-026-09873-5

Mohd Syahril Ramadhan Mohd Saufi, Zair Asrar bin Ahmad, Muhammad Firdaus Isham, Mat Hussin Ab Talib

{"title":"Magnetorheological damper modelling with a non-parametric approach of one-dimensional LSTM and differential evolution","authors":"Mohd Syahril Ramadhan Mohd Saufi, Zair Asrar bin Ahmad, Muhammad Firdaus Isham, Mat Hussin Ab Talib","doi":"10.1007/s11043-026-09873-5","DOIUrl":"10.1007/s11043-026-09873-5","url":null,"abstract":"<div><p>Semi-active dampers are widely used in various fields due to their greater flexibility compared to passive and active dampers. Among these, Magnetorheological (MR) dampers, which contain MR fluid, can adjust damping characteristics in real time by changing the magnetic field through the supplied current. Accurate modeling of MR dampers is essential for control systems, as it enables precise prediction of damping force based on input conditions, allowing controllers to make informed decisions and dynamically adjust current to achieve desired performance. MR damper modeling can be approached using either parametric or non-parametric methods. However, modeling is challenging due to dynamic hysteresis effects, variations in magnetic fields, and nonlinear behavior. Parametric approaches often involve complex mathematical models with numerous parameters, making them difficult to implement and tune. To address these challenges, this research proposes an integrated differential evolution with one-dimensional Long Short-Term Memory (DE-1DLSTM) model to capture MR damper behavior. The performance of the DE-1DLSTM model was evaluated using datasets from the Network for Earthquake Engineering Simulation (NEES) and experimental data. The proposed model achieved accurate predictions for both datasets, with the predicted force-displacement and force-velocity graphs closely matching actual MR damper behavior. Thus, implementing the DE-1DLSTM model effectively reduces the complexity of MR damper modeling, enhances prediction accuracy, and supports the development of intelligent control systems.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 2","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11043-026-09873-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147737597","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Synergistic effects of a triphenyl phenolic curing agent and organic montmorillonite on the properties of bis(aminopropyl) polydimethylsiloxane–grafted multifunctional epoxy resin 三苯基酚醛固化剂和有机蒙脱土对双（氨基丙基）聚二甲基硅氧烷接枝多功能环氧树脂性能的协同作用

IF 2.3 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-04-09 DOI: 10.1007/s11043-026-09872-6

Zhuhuan Chen, Shijie Zhang, Ruobing Yu

{"title":"Synergistic effects of a triphenyl phenolic curing agent and organic montmorillonite on the properties of bis(aminopropyl) polydimethylsiloxane–grafted multifunctional epoxy resin","authors":"Zhuhuan Chen, Shijie Zhang, Ruobing Yu","doi":"10.1007/s11043-026-09872-6","DOIUrl":"10.1007/s11043-026-09872-6","url":null,"abstract":"<div><p>Epoxy adhesives with excellent overall performance are in high demand for critical engineering applications. In this paper, a multifunctional epoxy resin N,N-diglycidyl-4-glycidyloxyaniline (AFG-90H) with high heat resistance but inherent brittleness was selected as the matrix, and a triphenyl phenolic curing agent based on diphenyl ether was synthesized from p-tert-butylcatechol, formaldehyde, and diphenyl ether to improve toughness. To further enhance material performance, bis(aminopropyl) polydimethylsiloxane modified by acid anhydride and organic montmorillonite were incorporated into the epoxy system. The results indicate that the curing temperature of the triphenyl phenolic curing agent–cured AFG-90H epoxy resin is below 100 °C. When AFG-90H epoxy resin grafted with 10 parts per hundred resin of bis(aminopropyl) polydimethylsiloxane is combined with 10 parts per hundred resin of organic montmorillonite, the cured material exhibits a thermal degradation temperature at 5% weight loss of 359 °C, along with tensile strength, flexural strength, impact strength, and tensile shear strength of 73.29 MPa, 75.00 MPa, 11.31 kJ m<sup>−2</sup>, and 14.09 MPa, respectively. These results demonstrate that the synergistic interaction among the triphenyl phenolic curing agent, organic montmorillonite, and bis(aminopropyl) polydimethylsiloxane increases significantly the thermal stability and mechanical properties of the cured multifunctional epoxy resin, thus providing an effective approach for the development of high-performance epoxy adhesives.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 2","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147642777","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Research on constructing a new method in the composite model of rock rheology and a new principle for solving constitutive relation 建立岩石流变复合模型新方法及求解本构关系新原理的研究

IF 2.3 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-04-08 DOI: 10.1007/s11043-026-09874-4

Gongyu Hou, Yaohua Shao, Xiangli Liu, Li Ding, Jingyun Zhao, Haoxiang Ling, Qiuyue Li

{"title":"Research on constructing a new method in the composite model of rock rheology and a new principle for solving constitutive relation","authors":"Gongyu Hou, Yaohua Shao, Xiangli Liu, Li Ding, Jingyun Zhao, Haoxiang Ling, Qiuyue Li","doi":"10.1007/s11043-026-09874-4","DOIUrl":"10.1007/s11043-026-09874-4","url":null,"abstract":"<div><p>Rheological model plays an important role in revealing rheological characteristics of rocks. Due to the model’s construction and solution without considering the size-dependent effect of the elements, its physical mechanism and mathematical description decouples, as well as the loss in physical interpretability. To address these deficiencies, scale effects must be need to be considered when constructing and solving rheological models. Firstly, the new method of the one-dimensional(1D) rheological composite models, in consideration of the size relationship between the elements and the composite model, is proposed according to the physical mechanism and the mechanical principles. Secondly, the new principle consisted of 1D constitutive relations in the composite model is constructed through the composite relationship between the force and the deformation of each element. Thirdly, based on the new method, the Maxwell model, Kelvin model, and ideal viscoelastic model are improved and reconstructed. Meanwhile, the constitutive relations, creep and stress relaxation of the composite model are solved based on the new principle. The research results are prospected to provide a sound theoretical basis for the construction and solution of 1D rheological models of rocks.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 2","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147642287","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Hydrate saturation effects on the creep behavior of hydrate-bearing sediments based on a variable-order fractal derivative theory 基于变阶分形导数理论的水合物饱和度对含水沉积物蠕变行为的影响

IF 2.3 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-04-03 DOI: 10.1007/s11043-026-09870-8

Fang-qi Zhang, Kai Li, Zheng-zhong Duan, Qian-kun Zhu

{"title":"Hydrate saturation effects on the creep behavior of hydrate-bearing sediments based on a variable-order fractal derivative theory","authors":"Fang-qi Zhang, Kai Li, Zheng-zhong Duan, Qian-kun Zhu","doi":"10.1007/s11043-026-09870-8","DOIUrl":"10.1007/s11043-026-09870-8","url":null,"abstract":"<div><p>Hydrate saturation (<span>(S_{mathrm{h}})</span>) is a major factor governing the creep behavior of hydrate-bearing sediments (HBSs). During long-term natural gas hydrate (NGH) extraction, creep deformation in HBSs may induce significant geological and environmental hazards, making accurate constitutive modeling essential. In this paper, a creep model is established by integrating a variable-order fractal derivative with elastic–viscoplastic theory, with the objective of establishing linear quantitative relationships between model parameters and hydrate saturation. The proposed model is validated against available experimental data and demonstrates strong capability in reproducing the nonlinear time-dependent creep behavior of HBSs. The model is theoretically capable of predicting rheological responses under arbitrary loading paths and varying saturation conditions. A systematic range analysis is further conducted to evaluate the sensitivity of individual parameters and their interactions on the creep response. The results provide clear mechanistic insights into how hydrate saturation controls the time-dependent deformation characteristics of hydrate-bearing sediments. Overall, this investigation offers a robust theoretical framework for improved assessment of reservoir deformation, wellbore stability, and geo-environmental risks associated with NGH exploitation.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 2","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147606482","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Interpretable XGBoost model-based prediction of pavement damage after deicing salt exposure considering asphalt properties and residual chloride concentration 基于可解释XGBoost模型的除冰盐暴露后路面损伤预测研究

IF 2.3 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-04-02 DOI: 10.1007/s11043-026-09863-7

Shiyuan Li, Shengkang Zhang, Huining Xu, Xinxing Bian, Ying Qu

{"title":"Interpretable XGBoost model-based prediction of pavement damage after deicing salt exposure considering asphalt properties and residual chloride concentration","authors":"Shiyuan Li, Shengkang Zhang, Huining Xu, Xinxing Bian, Ying Qu","doi":"10.1007/s11043-026-09863-7","DOIUrl":"10.1007/s11043-026-09863-7","url":null,"abstract":"<div><p>In cold regions, persistent snow and ice accumulation on asphalt pavements poses a significant threat to traffic safety. Chloride-based deicing salts are widely used due to their effectiveness and low cost; however, infiltrated chloride ions interact with moisture and undergo repeated erosion–freeze–thaw cycles (EFTC), leading to accelerated pavement deterioration and reduced service life. Existing reports on chloride-induced EFTC damage primarily focus on salt concentration and freeze–thaw cycles, while the influence of asphalt type and material properties remains insufficiently investigated. In this study, the deterioration behavior of different asphalt concretes is examined under varying chloride concentrations, and an XGBoost model optimized using the snow geese algorithm (SGA) is developed to predict pavement damage variables (<span>(DV)</span>) after chloride exposure. SHAP values and partial dependence plots (PDP/ICE) are employed to interpret feature importance and interaction effects. The results indicate that <span>(DV)</span> increases with cycle number and chloride concentration due to ice expansion, salt crystallization, and chemical corrosion. 70# and 90# asphalt concretes exhibit pronounced deterioration, whereas SBS-modified asphalt concrete demonstrates superior resistance to EFTC. The optimal model configuration achieves a favorable balance between prediction accuracy and computational efficiency. Interpretability analyses identify exposure time and chloride concentration as the dominant predictors of <span>(DV)</span>, while softening point exhibits a minor negative influence and penetration and ductility show marginal contributions. A graphical user interface (GUI) is also developed to support engineering applications. Overall, the proposed framework provides a reliable and interpretable tool for pavement maintenance and rehabilitation decision-making in cold regions.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 2","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147606340","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Characterization and modeling of the dynamic mechanical behavior of acid-etched sandstone 酸蚀砂岩动态力学行为的表征与建模

IF 2.3 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-04-02 DOI: 10.1007/s11043-026-09871-7

Pu Yuan, Mengyao Wang, Xiaobo Zheng, Peng Qian

{"title":"Characterization and modeling of the dynamic mechanical behavior of acid-etched sandstone","authors":"Pu Yuan, Mengyao Wang, Xiaobo Zheng, Peng Qian","doi":"10.1007/s11043-026-09871-7","DOIUrl":"10.1007/s11043-026-09871-7","url":null,"abstract":"<div><p>Understanding the energy dissipation and damage evolution of sandstone under acidic environments is critical for the safety and stability of deep rock engineering. In this paper, the dynamic mechanical behavior of sandstone subjected to acid erosion is systematically investigated through laboratory experiments and numerical modeling. Dynamic impact tests are conducted using a split Hopkinson pressure bar on sandstone specimens immersed for 30 days in acidic solutions with pH values of 2, 3, 4, 5, and 6. In addition, particle flow simulations implementing three-dimensional discrete elements are employed to analyze crack initiation and propagation characteristics under different acid conditions. The experimental results indicate that the dynamic compressive strength of sandstone increases with increasing pH value. Energy absorption, reflection, and fragmentation characteristics exhibit clear pH dependence, with stronger acid conditions leading to enhanced damage and comminution. Fragment size distributions of acid-etched sandstone exhibit distinct fractal characteristics, and the corresponding fractal dimension increases as pH decreases, indicating a higher degree of fragmentation and smaller average particle size. Numerical simulations further reveal pronounced differences in deformation and failure modes under varying acidity levels. Specimens exposed to pH 2 exhibit the most severe damage and the highest crack density, while both damage extent and crack number decrease progressively with increasing pH. These findings provide insight into the coupled effects of acidic erosion and dynamic loading on sandstone behavior and contribute to the assessment of rock stability in acidic underground environments.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 2","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147606709","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Time-dependent deformation of an elastic open cylindrical shell on a viscoelastic foundation described by a fractional-derivative model 用分数阶导数模型描述粘弹性地基上弹性开圆柱壳随时间的变形

IF 2.3 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-04-01 DOI: 10.1007/s11043-026-09869-1

Yuce Xu, Hao Zheng, Xiaoli Zhou, Peijun Wei

{"title":"Time-dependent deformation of an elastic open cylindrical shell on a viscoelastic foundation described by a fractional-derivative model","authors":"Yuce Xu, Hao Zheng, Xiaoli Zhou, Peijun Wei","doi":"10.1007/s11043-026-09869-1","DOIUrl":"10.1007/s11043-026-09869-1","url":null,"abstract":"<div><p>Time-dependent deformation of an elastic open cylindrical shell resting on a viscoelastic foundation under constant loading is considered. The viscoelastic foundation is represented by a fractional standard linear solid model formulated using the Riemann-Liouville fractional derivative. Based on classical shell theory, the governing equations of the shell-foundation system are derived. Application of the Laplace transform and its inversion leads to an analytical expression for the shell displacement in terms of the Mittag–Leffler function. Numerical examples for a simply supported shell illustrate the spatial distribution and temporal evolution of the deformation. Results are compared with those corresponding to the integer-order viscoelastic model and the elastic foundation model. The effects of the fractional order and viscosity parameters on the deformation response is examined. The fractional-order foundation model provides a greater flexibility in representing the time-dependent interaction between the shell and the supporting medium and captures the evolution of deformation more effectively than classical integer-order models.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 2","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147606348","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0