Mechanics of Time-Dependent Materials最新文献

Analysis and control research on the time-dependent stability of long-span underground excavation stations considering the creep effects of bedded surrounding rock 考虑层状围岩蠕变效应的大跨度地下开挖站时稳定性分析与控制研究

IF 4.5 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-11-04 DOI: 10.1007/s11043-026-09933-w

Xinping Guo, Long Li

{"title":"Analysis and control research on the time-dependent stability of long-span underground excavation stations considering the creep effects of bedded surrounding rock","authors":"Xinping Guo, Long Li","doi":"10.1007/s11043-026-09933-w","DOIUrl":"10.1007/s11043-026-09933-w","url":null,"abstract":"<div><p>To reveal the influence of the creep effects of bedded surrounding rock on the stability of long-span underground excavation stations, laboratory creep tests of slate with different bedding dip angles were carried out taking the Qingniwaqiao subsurface excavation station constructed by the arch cover method in Dalian Metro as the engineering background. Based on the Power-Ubiquitous model, a three dimensional numerical model of the station was established by FLAC<sup>3D</sup>. The time-dependent evolution characteristics of bedded surrounding rock displacement, structural stress and plastic zone after excavation were systematically analyzed, and targeted reinforcement measures for side wall rock mass under different bedding dip angles were put forward. The results indicate that bedding dip angles exert a dominant control on the mechanical and creep performances of bedded slate. By combining the ubiquitous-joint model with the power model, the Power-Ubiquitous model suitable for bedded slate was constructed. This model can represent the entire three-stage creep process of slate with different bedding dip angles. Without considering creep, the instantaneous settlement of the crown was 27.1 mm, and after 90 days of creep effect, it increased to 30.7 mm (an increase of 13.3%); the instantaneous maximum horizontal displacement of the side wall was 6.69 mm, and after 90 days of creep effect, it reached 9.27 mm (an increase of 38.6%), and the plastic zones at the arch spring and side wall continuously expand and connect. Based on the rock mass sliding failure mechanism controlled by bedding dip angle, a differential (steel pipe piles + rock bolts + anchor cables) combined support system by different dip angles is proposed, which can effectively weaken the creep damage and ensure the construction and long-term operation safety of the station.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 4","pages":""},"PeriodicalIF":4.5,"publicationDate":"2026-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149338238","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

Effects of coarse aggregate size proportions on elastic modulus and creep behavior of hydraulic concrete 粗骨料配比对水工混凝土弹性模量和徐变性能的影响

IF 4.5 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-11-04 DOI: 10.1007/s11043-026-09943-8

Yaoying Huang, Yongliang Cheng, Jin Yu, Haidong Wei

{"title":"Effects of coarse aggregate size proportions on elastic modulus and creep behavior of hydraulic concrete","authors":"Yaoying Huang, Yongliang Cheng, Jin Yu, Haidong Wei","doi":"10.1007/s11043-026-09943-8","DOIUrl":"10.1007/s11043-026-09943-8","url":null,"abstract":"<div><p>Models developed solely based on aggregate volume fraction cannot characterize the effects of variations in aggregate size proportions under a constant total aggregate content. This study investigates the elastic modulus and specific creep of hydraulic concrete with different proportions of two coarse aggregate size fractions. Four concrete mixtures were designed, with mass ratios of 5–20 mm to 20–40 mm coarse aggregates set as 5:0, 4:1, 2:3, and 0:5, while the coarse aggregate volume fraction was kept constant at approximately 47.5%. Under identical test conditions, tension and compression two-stage loading–unloading cyclic tests were performed on concrete and cement mortar specimens. Each cycle consisted of 21 days of sustained loading followed by 7 days of recovery. As the proportion of 5–20 mm coarse aggregate increased, both tensile and compressive elastic moduli of concrete first increased and then decreased. By contrast, the specific creep exhibited an S-shaped trend that can be described by a cubic function (increasing, then decreasing, and increasing again). Under comparable conditions, concrete showed lower specific creep than cement mortar, and the tensile specific creep was higher than the compressive specific creep. Prediction models for elastic modulus and specific creep were established using mortar properties as the reference and the Ivy optimization algorithm for parameter calibration. The model calibration results show that the coefficients of determination for compressive and tensile elastic moduli are 0.993 and 0.986, respectively. The coefficient of determination for specific creep fitting exceeds 0.940, with the root mean square error less than 2.012 <span>(mu varepsilon )</span>/MPa. The findings demonstrate that aggregate size proportions are critical for modelling the elastic modulus and creep of hydraulic concrete within the range of the present experimental conditions.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 4","pages":""},"PeriodicalIF":4.5,"publicationDate":"2026-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149338239","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

Modeling the creep-rupture behavior of high-modulus polyethylene ropes using a fractional viscoelastic damage model 用分数粘弹性损伤模型模拟高模聚乙烯绳索的蠕变断裂行为

IF 4.5 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-11-03 DOI: 10.1007/s11043-026-09944-7

Zhufan Zhang, Yukai Yang, Ao Chen, Tiankun Liu, Jian Lei, Dabiao Liu

{"title":"Modeling the creep-rupture behavior of high-modulus polyethylene ropes using a fractional viscoelastic damage model","authors":"Zhufan Zhang, Yukai Yang, Ao Chen, Tiankun Liu, Jian Lei, Dabiao Liu","doi":"10.1007/s11043-026-09944-7","DOIUrl":"10.1007/s11043-026-09944-7","url":null,"abstract":"<div><p>Creep deformation and rupture under continuous loading lower the long-term durability of high-modulus polyethylene (HMPE) ropes in deepwater mooring systems. In this investigation, we develop a fractional viscoelastic damage model to describe deformation from the primary creep to rupture. The formulation is derived within an effective configuration framework using the Clausius–Duhem inequality and combines a generalized Almeida–Caputo fractional element with a Kachanov damage law. Effective stress drives both the instantaneous elastic response and the fractional memory integral, coupling damage accumulation with hereditary deformation. A sequential identification procedure determines the damage parameters from rupture lifetimes, the elastic parameter from initial strains, and the fractional parameters from strain–time records. Calibration against published HMPE strand data at 20–80% of average breaking strength reproduces the measured creep responses, including tertiary acceleration at high loads. For the five rupture tests at 60–80% of the average breaking strength, the maximum lifetime error is 1.63%. Furthermore, the model reproduces the long-term creep responses of TF9705 and JX99, two industrial grades of low-creep HMPE fiber yarns, under 20% of their mean breaking load. Parameter sensitivity analysis shows that damage parameters govern rupture lifetime, whereas fractional parameters primarily control the magnitude and time distribution of hereditary deformation. Comparison with an uncoupled formulation highlights the contribution of damage to viscoelastic strain near rupture. The model provides a framework for describing creep and rupture under constant loads, although separately calibrated fractional parameters limit extrapolation to untested or variable loading conditions.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 4","pages":""},"PeriodicalIF":4.5,"publicationDate":"2026-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149338280","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

Characterisation and modelling of the mechanical behaviour of concrete incorporating waste glass sand and powder 含废玻璃砂和粉末的混凝土力学行为的表征和建模

IF 4.5 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-11-03 DOI: 10.1007/s11043-026-09948-3

Danyang Su, Chuanlong Han, Chong Zhou, Xiaoxiao Lin, Jianyong Pang

{"title":"Characterisation and modelling of the mechanical behaviour of concrete incorporating waste glass sand and powder","authors":"Danyang Su, Chuanlong Han, Chong Zhou, Xiaoxiao Lin, Jianyong Pang","doi":"10.1007/s11043-026-09948-3","DOIUrl":"10.1007/s11043-026-09948-3","url":null,"abstract":"<div><p>Reusing waste glass in concrete offers a route to reducing demand for natural aggregates and cement, but its effects on mechanical behaviour under different loading conditions require further investigation. In this paper, we examine concrete incorporating waste glass sand and powder as replacements for 20% of the fine aggregate and 10% of the cement, respectively. Dynamic compression, staged creep and variable-angle shear tests were conducted, supported by scanning electron microscopy and numerical modelling. Compared with ordinary concrete, the glass-filled concrete exhibited a 10.8% increase in quasi-static compressive strength and approximately 10–12 MPa higher dynamic compressive strength at the two highest impact pressures. Its creep rate decreased by 66.7% at applied stresses of 40–44 MPa, and its creep ratio remained lower across the tested stress levels. Shear testing revealed a 3.6% increase in cohesion and a 5.7% decrease in the internal friction angle, indicating changes in the mechanisms governing shear resistance. Microscopic observations showed fewer pores and microcracks, consistent with a denser microstructure. A modified Holmquist-Johnson-Cook (HJC) constitutive model was developed to incorporate a continuous yield surface, anisotropy, separate tensile, compressive and shear damage variables, and stress-state-dependent strain-rate effects. Simulations reproduced the overall dynamic stress–strain trends, peak stresses and observed failure patterns, although differences in peak strain remained. These findings demonstrate improved compressive strength and creep resistance for the investigated mixture and provide an experimental and modelling basis for further evaluation of waste glass concrete.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 4","pages":""},"PeriodicalIF":4.5,"publicationDate":"2026-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149338281","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

Nonlinear unsteady creep constitutive model of rock based on internal friction angle and cohesion deterioration 基于内摩擦角和黏聚劣化的岩石非线性非定常蠕变本构模型

IF 4.5 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-10-27 DOI: 10.1007/s11043-026-09916-x

Zhiming Zheng, Yang Zhao, Cheng Pan

{"title":"Nonlinear unsteady creep constitutive model of rock based on internal friction angle and cohesion deterioration","authors":"Zhiming Zheng, Yang Zhao, Cheng Pan","doi":"10.1007/s11043-026-09916-x","DOIUrl":"10.1007/s11043-026-09916-x","url":null,"abstract":"<div><p>In order to explore the creep characteristics of sandstone, the step loading triaxial creep test is carried out. The deformation and long-term strength characteristics of sandstone were studied. By introducing the relationship between the internal friction angle and the effective internal friction angle, the damage variable considering the deterioration of the internal friction angle is established. And based on the test results, a damage creep model that can describe the viscoelastic-plastic deformation of sandstone is established. The results show that with the continuous increase of (<span>(sigma )</span>-<span>(sigma _{A})</span>)<span>(t)</span>, both <span>(varphi ^{*})</span>/<span>(varphi )</span>, <span>(c^{*})</span>/<span>(c )</span> and tan<span>(varphi ^{*})</span>/tan<span>(varphi )</span> shows a decreasing trend. Their change trends satisfy the negative exponential function. And the damage variable considering the deterioration of internal friction angle can better describe the creep damage process of rock. The theoretical value of the improved Nishihara model is in good agreement with the experimental results. It not only fully reflects the instantaneous elastic deformation after loading. It also reflects the primary creep of the first stage and the steady-stable creep of the second stage. The deformation in the accelerated creep stage was successfully fitted. The results are significantly better than the traditional Nishihara model. It shows that it has certain guiding significance for roadway surrounding rock collapse prediction.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 4","pages":""},"PeriodicalIF":4.5,"publicationDate":"2026-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149339327","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

Experimental study on the creep of plastic gears 塑料齿轮蠕变试验研究

IF 4.5 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-10-26 DOI: 10.1007/s11043-026-09900-5

Dong Xin, Zhaoyao Shi

引用次数: 0

From laboratory to plant: mechanical performance and environmental assessment of asphalt mixtures with reclaimed asphalt pavement 从实验室到工厂：再生沥青路面沥青混合料的力学性能和环境评价

IF 4.5 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-10-20 DOI: 10.1007/s11043-026-09934-9

Rahul Ray, Vishal Kumar, Praveen Aggarwal, Vanita Aggarwal, Ishu Sharma

{"title":"From laboratory to plant: mechanical performance and environmental assessment of asphalt mixtures with reclaimed asphalt pavement","authors":"Rahul Ray, Vishal Kumar, Praveen Aggarwal, Vanita Aggarwal, Ishu Sharma","doi":"10.1007/s11043-026-09934-9","DOIUrl":"10.1007/s11043-026-09934-9","url":null,"abstract":"<div><p>Despite the growing use of Reclaimed Asphalt Pavement (RAP) in hot mix asphalt (HMA), the transferability of laboratory-derived performance to full-scale plant production remains insufficiently understood, particularly at high RAP contents. This study evaluates HMA mixtures containing 20%, 35%, and 50% RAP produced in a 180-tonne/h batch plant and compares them with laboratory-prepared counterparts and a plant-produced control. Performance was assessed using Marshall Stability, Dynamic Modulus (<span>(|E^{*}|)</span>), Wheel-Tracking, and IDEAL Cracking Tolerance (IDEAL-CT) tests, together with economic and environmental assessments. Dynamic Modulus master curves were developed at a reference temperature of 20 °C. RAP progressively increased mixture stiffness, with intermediate-frequency <span>(|E^{*}|)</span> increasing by up to 47.2% at 50% RAP, accompanied by increased Marshall Stability and reduced rut depth. However, cracking tolerance progressively decreased, indicating a stiffness–fracture trade-off. Plant-produced mixtures generally exhibited higher stiffness and lower rut depths than laboratory-prepared mixtures. Plant–laboratory differences in rut depth were not statistically significant at the investigated RAP contents, whereas the difference in CT<sub>index</sub> was statistically significant only at 50% RAP. The cradle-to-gate lifecycle assessment showed 13.2–27.4% reductions in global warming potential and cumulative energy demand, while cost savings reached 28.6% at 50% RAP. Overall, the findings establish a laboratory-to-plant comparison framework and provide a basis for production-sensitive relationships to improve the interpretation of laboratory results for high-RAP mixtures.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 4","pages":""},"PeriodicalIF":4.5,"publicationDate":"2026-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149234330","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

Performance evaluation of self-compacting concrete incorporating bio super absorbent polymer as an internal self-curing agent 生物高吸水性高分子内自固化剂自密实混凝土性能评价

IF 4.5 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-10-20 DOI: 10.1007/s11043-026-09929-6

T. JayaKrishna, V. Giridhar

{"title":"Performance evaluation of self-compacting concrete incorporating bio super absorbent polymer as an internal self-curing agent","authors":"T. JayaKrishna, V. Giridhar","doi":"10.1007/s11043-026-09929-6","DOIUrl":"10.1007/s11043-026-09929-6","url":null,"abstract":"<div><p>This study investigates the use of a Bio-Super Absorbent Polymer (B-SAP) derived from cellulose extracted from <i>Borassus flabellifer</i> flower biomass as a sustainable internal self-curing material in M30 grade Self-Compacting Concrete (SCC). In conventional concrete, external curing may not provide sufficient moisture for continuous hydration throughout the concrete matrix, particularly in low water-binder ratio mixes. Internal curing techniques using synthetic materials have been introduced to address this issue; however, such materials are often associated with higher cost and environmental concerns. In the present work, a cellulose-based BSAP was incorporated into SCC at dosages ranging from 0% to 2.0% by weight of total binder. The fresh behaviour of the mixes was evaluated through slump flow, V-funnel, L-box, and J-ring tests. Mechanical properties were determined using compressive strength, split tensile strength, and flexural strength tests under both water-cured and air-cured conditions. Durability was examined using water absorption and rapid chloride permeability tests. The results showed that all SCC mixes with B-SAP fulfilled the fresh property requirements of SCC. Both in the water-cured and air-cured specimens, strength improvement was identified with a B-SAP dosage of 0.8%. At this level, an increase in compressive strength was identified up to 6% under water curing and 14% under air curing when compared with respective control specimens. Similar strength improvement was identified in other strength tests, namely the split tensile test and the flexural test. About 16% under water curing and 16% under air curing, the water absorption is found to be decreased by 0.8% addition of B-SAP. The rapid chloride permeability test results exhibit similar performance. However, higher BSAP contents resulted in increased void formation and a reduction in performance. Based on the overall behavior, 0.8% B-SAP was found to be the optimum dosage for producing sustainable self-curing SCC.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 4","pages":""},"PeriodicalIF":4.5,"publicationDate":"2026-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149234329","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

Comparative memory analysis of radiative MHD Oldroyd-B fluid subject to Newtonian heating via three fractional time operators 用三个分数时间算子对牛顿加热下MHD - old - b辐射流体的比较记忆分析

IF 4.5 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-10-19 DOI: 10.1007/s11043-026-09928-7

Nazish Iftikhar, Arshad Riaz, Areeba Shahid, Ghaliah Alhamzi

{"title":"Comparative memory analysis of radiative MHD Oldroyd-B fluid subject to Newtonian heating via three fractional time operators","authors":"Nazish Iftikhar, Arshad Riaz, Areeba Shahid, Ghaliah Alhamzi","doi":"10.1007/s11043-026-09928-7","DOIUrl":"10.1007/s11043-026-09928-7","url":null,"abstract":"<div><p>This study presents a comparative analysis of unsteady magnetohydrodynamic (MHD) flow, heat and mass transport (HMT) characteristics of an Oldroyd-B fluid (OBF) subjected to Newtonian heating using three different fractional time operators on a stretching porous surface. The mathematical formulation incorporates the combined effects of viscoelastic behavior, thermal radiation, magnetic field, buoyancy forces, heat generation, and concentration diffusion. To capture the memory and hereditary characteristics of the fluid, the governing momentum, energy, and concentration equations are developed using Caputo (C), Caputo-Fabrizio (CF) and Atangana-Baleanu in Capute (ABC) sense fractional derivatives. The Laplace transform (LT) technique is employed to obtain analytical solutions for velocity, temperature and concentration distributions under ramped wall velocity and thermal boundary conditions. The influence of key physical parameters, including magnetic parameter, radiation parameter, Prandtl number, Schmidt number, Grashof numbers, and fractional order, is examined through graphical analysis. The results reveal that the fractional operators significantly affect transport behavior due to their different memory kernels. Among the considered models, the Atangana-Baleanu fractional operator provides a more pronounced description of long-term memory effects and predicts enhanced momentum, thermal, and concentration transport compared with Caputo and Caputo-Fabrizio operators. The proposed frame work provides a useful mathematical approach for understanding complex non-Newtonian fluid transport phenomena in applications such as polymer processing, thermal management systems, porous media transport and energy conversion devices.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 4","pages":""},"PeriodicalIF":4.5,"publicationDate":"2026-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149234539","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

Machine learning-assisted computational analysis of radiated viscoelastic tri-hybrid nanofluid flow past a Riga plate with Cattaneo-Christov model 基于Cattaneo-Christov模型的辐射粘弹性三混合纳米流体通过里加板的机器学习辅助计算分析

IF 4.5 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-10-15 DOI: 10.1007/s11043-026-09932-x

Fathi Alimi, Sohail Rehman, Lassaad Mechi, Fahad K. Alshammari

{"title":"Machine learning-assisted computational analysis of radiated viscoelastic tri-hybrid nanofluid flow past a Riga plate with Cattaneo-Christov model","authors":"Fathi Alimi, Sohail Rehman, Lassaad Mechi, Fahad K. Alshammari","doi":"10.1007/s11043-026-09932-x","DOIUrl":"10.1007/s11043-026-09932-x","url":null,"abstract":"<div><p>The thermal performance of the solar collectors is enhanced by the addition of nanomaterial to the radiative surface, which increase its stability and lifetime. Due to its numerous applications, this study utilizes machine learning framework to simulate the energy and hydrodynamic behavior of a time-dependent Prandtl tri-hybrid nanofluid (HNF) over a radiated Riga surface. The Cattaneo–Christov heat flux model, mixed convection, radiant heat, dissipating, and magnetic effects are considered. A Crank-Nicolson computational method (CNM) is used to solve the controlling pressure-driven, unsteady flow equations, and the generated dataset is used to assess and train the artificial neural network (ANN) model. he generated solution data are used to train a feed-forward artificial neural network (ANN) with tan-sigmoid hidden activation, and Levenberg–Marquardt training, using a dataset of 320 samples. The results show that increasing the thermal relaxation parameter reduces the peak temperature by up to about 14%, mitigating thermal stress, whereas stronger thermal radiation and higher nanoparticle concentration raise the temperature by up to about 26%. A higher modified Hartmann number lowers the velocity by roughly 10–17% while slightly increasing the temperature, and a larger Grashof number enhances the velocity by nearly 22%. The ANN attains minimum validation mean-squared-error values of <span>(1.35times 10^{-9})</span> for velocity and <span>(1.25times 10^{-9})</span> for temperature, overall prediction errors within ±3.8%, and regression coefficients exceeding 0.9996.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 4","pages":""},"PeriodicalIF":4.5,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149190011","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