Mechanics of Time-Dependent Materials最新文献_第8页

Triaxial mechanical behavior and damage evolution of stratified cemented tailings backfill incorporating an enhancement layer 含增强层的层状尾砂胶结充填体三轴力学行为及损伤演化

IF 2.3 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-02-06 DOI: 10.1007/s11043-026-09858-4

Yalun Zhang, Wenbin Xu, Wei Chen

{"title":"Triaxial mechanical behavior and damage evolution of stratified cemented tailings backfill incorporating an enhancement layer","authors":"Yalun Zhang, Wenbin Xu, Wei Chen","doi":"10.1007/s11043-026-09858-4","DOIUrl":"10.1007/s11043-026-09858-4","url":null,"abstract":"<div><p>Primary stope frequently experience partial backfill collapses during subsequent stoping and backfilling operations due to insufficient strength of the primary stope. To enhance the stability and mechanical performance of the primary stope, an enhancement layer was introduced into the middle layer of the backfill. In this paper, the mechanical properties, energy evolution, and damage progression of cemented tailings backfill (CTB) and stratified cemented tailings backfill (SCTB) were systematically investigated through triaxial compression tests on specimens cured for 3, 7, and 28 days. The results indicate that the stress-strain response of SCTB exhibit four distinct stages, interlayer voids and pore closure, rapid increase of stress, slow increase of stress, and stress decline, with elastoplastic deformation becoming more pronounced under higher confining pressures. The SCTB specimens cured for 3 days exhibit inferior mechanical properties compared with CTB specimens of the same age; however, when the curing age extended to 7 and 28 days, SCTB demonstrates superior strength and deformation characteristics. The failure modes of SCTB transitions from conjugate shear and tensile failure to a bulging and shear hybrid failure, whereas CTB primarily undergoes uniform shear failure, indicating that the enhancement layer effectively suppresses crack propagation. The energy storage limit of SCTB cured for 7 days is 13.5% higher than that of CTB, increasing to 61.1% at 28 days. The SCTB exhibit a delayed onset of accelerated damage compared with CTB. These findings provide valuable guidance for designing cost-effective, high-performance backfill systems in mining engineering while balancing structural strength and sustainability.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 1","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147337243","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

Modelling of viscoplastic properties of epoxy resins in fibre-reinforced unidirectional composites 纤维增强单向复合材料中环氧树脂粘塑性性能的建模

IF 2.3 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-01-27 DOI: 10.1007/s11043-026-09855-7

Vincent Feyen, Christian Breite, Jérémy Chevalier, Thomas Pardoen, Yentl Swolfs

{"title":"Modelling of viscoplastic properties of epoxy resins in fibre-reinforced unidirectional composites","authors":"Vincent Feyen, Christian Breite, Jérémy Chevalier, Thomas Pardoen, Yentl Swolfs","doi":"10.1007/s11043-026-09855-7","DOIUrl":"10.1007/s11043-026-09855-7","url":null,"abstract":"<div><p>Accurate prediction of the lifetime of unidirectional fibre composites requires a model that captures matrix viscoplasticity across generic loading histories. We propose a compact, rate-dependent hardening law for highly crosslinked epoxies that unifies constant-strain-rate and creep behaviour. The yield stress depends exponentially on accumulated plastic strain and logarithmically on plastic strain rate, and the relationship is analytically invertible for direct use in a finite element code. Parameters are calibrated from compression tests at multiple strain rates and from hold-at-load creep tests; validation is performed on RTM-6 and new 736LT epoxy data. The model reproduces (i) the near-linear <span>(sigma _{y})</span>–<span>(log dot{varepsilon })</span> trend from pre-yield through softening and hardening, (ii) the time-dependent transition from pre- to post-yield during creep, including the rate surge near softening, (iii) long-term (14.5 h) creep more faithfully than stress–time power laws, and (iv) trends in cyclic, variable-rate, and tensile tests. The resulting, easily calibrated formulation enables robust simulation of matrix viscoplasticity in composite-scale models, improving durability predictions for load-bearing structures such as pressure vessels and wind-turbine blades.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 1","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146082693","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

Stability analysis of metro shield tunnel surrounding rock based on an improved nonlinear creep-joint coupled damage model 基于改进非线性蠕变节理耦合损伤模型的地铁盾构隧道围岩稳定性分析

IF 2.3 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-01-26 DOI: 10.1007/s11043-026-09856-6

Haopeng Jiang, Hui Wang, Fengrui Zhang, Wei Yin, Xianzhuo Wang

{"title":"Stability analysis of metro shield tunnel surrounding rock based on an improved nonlinear creep-joint coupled damage model","authors":"Haopeng Jiang, Hui Wang, Fengrui Zhang, Wei Yin, Xianzhuo Wang","doi":"10.1007/s11043-026-09856-6","DOIUrl":"10.1007/s11043-026-09856-6","url":null,"abstract":"<div><p>In order to investigate the long-term stability of subway shield tunnel surrounding rock crossing layered rock formations, this study first researched the numerical algorithms and solution procedures for the three-dimensional Nishihara creep model and the ubiquitous-joint model that characterizes the layered rocks. Additionally, a load damage variable was introduced, and the plastic model in the original Nishihara constitutive model was replaced with the ubiquitous-joint plastic model, thus establishing a three-dimensional nonlinear Nishihara-ubiquitous joint creep damage model. The study then focused on analyzing the long-term characteristics of the surrounding rock under different joint angles and creep times using the layered rock surrounding the shield tunnel in Nanchang as the research subject. The results indicated the following: 1) The secondary development model effectively represents the three-stage creep mechanical characteristics of layered rocks, and the simulation results confirm the rationality of the developed creep constitutive model. 2) With increasing creep time, the displacement of the shield tunnel surrounding rock gradually increases, and the plastic zone expands. 3) The displacement and plastic zone of the surrounding rock exhibit noticeable anisotropy among different joint angles. Therefore, the rationality and feasibility of the developed model were verified through practical engineering applications, providing valuable insights for the long-term stability analysis of tunnel surrounding rock structures in similar layered rock formations.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 1","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146082938","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

Influence of wellbore non-uniformity on casing integrity under ultra-deep salt-rock creep 超深盐岩蠕变条件下井筒不均匀性对套管完整性的影响

IF 2.3 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-01-23 DOI: 10.1007/s11043-025-09843-3

Zhi Zhang, Biao Zhang

{"title":"Influence of wellbore non-uniformity on casing integrity under ultra-deep salt-rock creep","authors":"Zhi Zhang, Biao Zhang","doi":"10.1007/s11043-025-09843-3","DOIUrl":"10.1007/s11043-025-09843-3","url":null,"abstract":"<div><p>In the development of ultra-deep oil and gas resources, wellbore shrinkage and casing damage often occur, posing significant risks to safe drilling operations. Reported analyses on casing integrity have primarily focused on non-uniform external loads without considering geometric non-uniformity of the wellbore. In this work, a creep constitutive model and a casing collapse-strength model are established to model the shrinkage behavior of salt formations. A coupled formation–cement–casing mechanical model that accounts for wellbore non-uniformity is developed. Uniaxial tensile tests are performed to characterize the plastic deformation behavior of casing materials. The results indicate that, for a representative well in the Bozi block of the Tarim Basin, increasing drilling-fluid density gradually reduces both wellbore eccentricity and shrinkage. The optimal density range for safe operation is 2.30–2.35 g/cm<sup>3</sup>. Geometric irregularities in the wellbore amplify non-uniform external loads, leading to an 11.3% increase in casing stress compared to uniform conditions. When both geostress and geometric non-uniformities are considered, the safety factor against external compression decreases by 20.88%, and the residual collapse-strength coefficient decreases by 9%. Increasing casing wall thickness enhances the residual collapse-strength coefficient by 6.83% and the collapse-safety factor by 2.8%.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 1","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146027235","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 curing regime on cotton-reinforced controlled low-strength material 固化方式对棉增强可控低强度材料的影响

IF 2.3 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-01-22 DOI: 10.1007/s11043-026-09854-8

Osman Okuyucu, Manil Hettiwatte

{"title":"Effects of curing regime on cotton-reinforced controlled low-strength material","authors":"Osman Okuyucu, Manil Hettiwatte","doi":"10.1007/s11043-026-09854-8","DOIUrl":"10.1007/s11043-026-09854-8","url":null,"abstract":"<div><p>The increasing surplus of cotton fibers presents an opportunity for sustainable reuse in cementitious materials. This work investigates the effects of curing regime on the mechanical and physical properties of Controlled Low-Strength Material (CLSM) reinforced with various types of cotton fibers. CLSM mixtures with different water–cementitious (w/cm) ratios were prepared and subjected to distinct curing conditions to evaluate their effects on key performance parameters, including compressive strength, indirect tensile strength, and drying shrinkage. Results show that cotton filler enhances tensile performance and reduces shrinkage, while the curing regime plays a significant role in the rate and extent of strength development. Optimal performance was achieved under controlled moisture-curing conditions at moderate w/cm ratios, yielding improved mechanical stability and reduced cracking potential. The integration of cotton fibers also maintained acceptable flowability, making the modified CLSM suitable for backfill and structural support applications. Utilizing cotton waste in CLSM provides a sustainable and cost-effective approach to material improvement, aligning with circular economy principles. The combined effects of fiber reinforcement and optimized curing regimes demonstrate the potential of cotton-reinforced CLSM as an environmentally responsible material for construction and infrastructure applications.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 1","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146027344","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

Numerical analysis of sulfate accumulation and erosion behavior of concrete in sewage pipelines 污水管道中混凝土硫酸盐积聚与侵蚀行为的数值分析

IF 2.3 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-01-19 DOI: 10.1007/s11043-026-09853-9

Libing Jin, Linran Qiao, Tian Wu, Pin Zhou, Pengfei Xue

{"title":"Numerical analysis of sulfate accumulation and erosion behavior of concrete in sewage pipelines","authors":"Libing Jin, Linran Qiao, Tian Wu, Pin Zhou, Pengfei Xue","doi":"10.1007/s11043-026-09853-9","DOIUrl":"10.1007/s11043-026-09853-9","url":null,"abstract":"<div><p>Concrete in sewer environments frequently experiences microbial corrosion, making an understanding of time-dependent sulfate behavior essential for durability assessments. A major challenge lies in characterizing the evolution of surface sulfate concentration on sewage pipe walls, which directly affects the erosion rate of concrete. This paper proposes an approach for monitoring and modeling the erosion rate by dividing the sulfate evolution into two phases, accumulation and stabilization, based on the surface sulfate concentration on the sewage pipe surface (SCSPS). The accumulation phase is described using a mass-balance framework incorporating biological sulfate generation, accumulation, and diffusion, while the stabilization phase is obtained by fitting experimental SCSPS data to a hydrogen sulfide (H<sub>2</sub>S) concentration model. The SCSPS model is calibrated using H<sub>2</sub>S concentration and relative humidity, and an erosion rate model is developed by integrating key parameters including H<sub>2</sub>S concentration, diffusion coefficient, and relative humidity. Model predictions effectively captured changes in sulfate concentration and erosion rate across different environmental and material conditions. Results indicate that higher H<sub>2</sub>S concentrations accelerate sulfate accumulation and concrete degradation, except at very low concentrations where SCSPS remains nearly constant. The erosion rate increases with the diffusion coefficient, with model outputs suggesting that increasing the diffusion coefficient from <span>(5times 10^{-12}text{ m}^{2}text{/s})</span> to <span>(9times 10^{-12}text{ m}^{2}text{/s})</span> leads to approximately a 50% increase in erosion rate during the second year. Sensitivity analysis further shows that the diffusion coefficient is the major factor governing concrete erosion under the examined conditions.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 1","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146027105","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 characterization and modelling of the creep behavior of rock-like material with inclined soft interlayers 倾斜软夹层类岩材料蠕变特性的实验表征与模拟

IF 2.3 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-01-16 DOI: 10.1007/s11043-026-09852-w

Zhichao Cheng, Shiqi Liu, Xuyao Li, Weiya Xu

{"title":"Experimental characterization and modelling of the creep behavior of rock-like material with inclined soft interlayers","authors":"Zhichao Cheng, Shiqi Liu, Xuyao Li, Weiya Xu","doi":"10.1007/s11043-026-09852-w","DOIUrl":"10.1007/s11043-026-09852-w","url":null,"abstract":"<div><p>The creep behavior of rock-like materials containing inclined soft interlayers was investigated in cyclic loading–unloading experiments. The stress–strain response, long-term strength, and deformation and failure characteristics were examined to characterize the time-dependent behavior of the specimens. The results show that higher seepage pressures promote more pronounced crack propagation and lead to a reduction in long-term strength. To capture the accelerated creep observed in the experiments, a nonlinear viscoplastic element was introduced to enhance the nonlinear Burgers model, resulting in a nonlinear seepage–creep constitutive formulation. Model parameters were determined by fitting the experimental data using the Levenberg–Marquardt least-squares algorithm. The proposed model accurately describes the instantaneous elastic response, primary creep, and steady-state creep, and effectively captures the accelerated creep stage. These findings provide valuable theoretical and practical insights into the coupled seepage–creep behavior of rock masses containing soft interlayers</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 1","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145983123","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

Three-dimensional fractional viscoelastic constitutive modeling and numerical implementation using the (L_{1}) time-discretization scheme 三维分数黏弹性本构建模与数值实现，采用(L_{1})时间离散化方案

IF 2.3 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-01-09 DOI: 10.1007/s11043-025-09851-3

Pan Ding, Riqing Xu, Minjie Wen, Menghuan Chen, Ji Peng, Yuan Tu

{"title":"Three-dimensional fractional viscoelastic constitutive modeling and numerical implementation using the (L_{1}) time-discretization scheme","authors":"Pan Ding, Riqing Xu, Minjie Wen, Menghuan Chen, Ji Peng, Yuan Tu","doi":"10.1007/s11043-025-09851-3","DOIUrl":"10.1007/s11043-025-09851-3","url":null,"abstract":"<div><p>Fractional calculus has proven to be highly effective in simulating the viscoelastic and memory-dependent behavior of materials. This paper presents a three-dimensional fractional derivative standard linear solid (FSLS) model and its numerical implementation. By introducing the Caputo fractional operator to define a new Koeller spring-pot element, a one-dimensional FSLS model is developed, which can degenerate into other fractional derivative models, including the fractional derivative Maxwell (FM) and fractional derivative Kelvin-Voigt (FKV) models. The three-dimensional constitutive relationships are derived using a tensor generation method, and high-precision difference equations are formulated using the <span>(L_{1})</span> time-discretization scheme. The model is implemented in ABAQUS using the UMAT interface and validated through creep and relaxation tests. The results indicate that: (1) The FSLS model based on the Caputo fractional operator is better suited for finite element computations because it avoids singularity issues, preventing computational difficulties; (2) The <span>(L_{1})</span> discretization formula, with improved accuracy of order 2-<span>(alpha )</span>, can be employed to develop three-dimensional fractional derivative models and facilitate their numerical implementation in engineering applications; (3) A comparison between model predictions with experimental data demonstrates that the proposed model effectively captures the time-dependent behavior of geotechnical materials. The proposed model and discretization method provide valuable support for understanding and simulating the time-dependent deformation of geomaterials.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 1","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145930324","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

Damage evolution on post-peak of rocks under freeze–thaw conditions 冻融条件下岩石峰后损伤演化

IF 2.3 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-01-05 DOI: 10.1007/s11043-025-09850-4

Xiaonan Chen, Huimei Zhang, Wanjun Ye, Haojun Xia

{"title":"Damage evolution on post-peak of rocks under freeze–thaw conditions","authors":"Xiaonan Chen, Huimei Zhang, Wanjun Ye, Haojun Xia","doi":"10.1007/s11043-025-09850-4","DOIUrl":"10.1007/s11043-025-09850-4","url":null,"abstract":"<div><p>Based on the test data of rock material under different confining pressure and freeze-thaw cycle, the statistical damage model parameters related to the confining pressure level are determined, and the microelement strength of rock can be directly measured by axial strain; Using the inflection points in the damage evolution process of freeze-thaw rocks, the strain hysteresis factor, which characterizes the peak strain and model parameters, was obtained, the variation characteristics of axial strain of rock material from peak strength to residual strength in the post-peak region are revealed, and the definition of rock brittleness and plasticity and their value ranges were achieved by the model parameters; The inflection point strain is defined as the axial strain when the peak stress drops to the residual strength, the damage value at the inflection point strain is defined as the ultimate damage, a ultimate damage model under the coupled action of freeze-thaw and stress is established. The research results indicate that axial strain is sensitive to the brittle characteristics and ultimate damage of rocks under low confining pressure, and the inhibitory effect of low confining pressure on the ultimate damage of rocks subjected to different numbers of freeze-thaw cycles is not obvious; Under the action of low freeze-thaw cycle, increasing confining pressure has a significant effect on inhibiting the development of rock damage or the expansion of pores and fractures; Under the influence of high confining pressure and numerous freeze-thaw cycles, rock materials gradually exhibit the accumulation of freeze-thaw damage, the weakening of confining pressure constraint and the damage threshold effects.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 1","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145930018","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

Dual modeling of unsteady radiative non-Newtonian fluid flow with Biot boundary conditions using novel time-dependent solutions 具有Biot边界条件的非定常辐射非牛顿流体流动的二元模型

IF 2.3 4区材料科学

Mechanics of Time-Dependent Materials Pub Date : 2026-01-05 DOI: 10.1007/s11043-025-09849-x

S. M. Sachhin, M. S. Bharath, U. S. Mahabaleshwar, G. V. Bognar, L. M. Pérez

{"title":"Dual modeling of unsteady radiative non-Newtonian fluid flow with Biot boundary conditions using novel time-dependent solutions","authors":"S. M. Sachhin, M. S. Bharath, U. S. Mahabaleshwar, G. V. Bognar, L. M. Pérez","doi":"10.1007/s11043-025-09849-x","DOIUrl":"10.1007/s11043-025-09849-x","url":null,"abstract":"<div><p>This analysis gives insight into unsteady radiative energy and Casson fluid flow across stretching and shrinking sheets with Biot boundary conditions, enhancing our comprehension of these intricate conditions. Examined the two mathematical representations with the help of a rigorous method. The initial model aligns with the approach usually used by researchers in this area, but its stationary solution stays trivial. The second method clearly illustrates the physically pertinent stationary solutions well examined in published works. In particular, unveiled the new similarity variables specifically for the energy equation solely within the initial model. Utilized the numerical method to solve the governing partial differential equations, while similarity variables can describe particular scenarios with uniform wall temperatures, more general cases may require non-similar analysis to fully capture heat transfer variations. Here, both analytical hypergeometric series and numerical methods were employed to study the impact of various physical impacts on boundary layer flows. The results of the current analysis reveal that enhance in thermal radiation and Biot number enhances the surface heat transfer by nearly 30%, while wall suction further improves it by about 22%. Similarly, a stretching boundary contributes an additional 18% rise compared to the shrinking case. Moreover, analyzing several non-Newtonian fluids provided insight into implications for related stagnation points and viscoelastic problems. A diversity of analytical approaches and computational techniques can thereby elucidate subtleties in transport for diverse geometries and material behaviours.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"30 1","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145930017","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