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Search Results (753)

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Keywords = non-uniform elements

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20 pages, 7496 KB  
Article
Behaviour of Shear Stress Distribution in Steel Sections Under Static and Dynamic Loads
by Alaa Al-Mosawe, Doha Al-Mosawe, Shahad A. Hamzah, Bahaa Al-Atta and Abbas A. Allawi
Infrastructures 2026, 11(1), 27; https://doi.org/10.3390/infrastructures11010027 - 12 Jan 2026
Abstract
Shear lag is the phenomenon that occurs when a supported slender member undergoes deformation from lateral loading, causing in-plane non-uniform distribution of stresses that results in reducing the member’s minimum strength capacity. This paper investigates the behaviour of shear distribution in steel I-section [...] Read more.
Shear lag is the phenomenon that occurs when a supported slender member undergoes deformation from lateral loading, causing in-plane non-uniform distribution of stresses that results in reducing the member’s minimum strength capacity. This paper investigates the behaviour of shear distribution in steel I-section and box girders when subjected to both static and impact loadings. Three-dimensional finite element analysis models were prepared in Strand7 and validated against experimental results providing a basis for further comparison research into shear lagging effects. A parametric study was conducted comparing the effects of impact loading through certain specified velocities at the midspan of restrained ends. It provided new insights into the distribution of shear lag and prevalence of loading locality when considering unique impact scenarios. Impact loads provided different shear-lag results compared to static loads as the material’s properties absorb energy through deformation and distribution of stress. Furthermore, the study highlights the need for additional investigation into a variety of impact scenarios and possible factors for designers to consider when implementing members in structures. Full article
(This article belongs to the Section Infrastructures and Structural Engineering)
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14 pages, 2314 KB  
Article
Influence of Mo and Ni Alloying on Recrystallization Kinetics and Phase Transformation in Quenched and Tempered Thick Steel Plates
by Xabier Azpeitia, Unai Mayo, Nerea Isasti, Eric Detemple, Hardy Mohrbacher and Pello Uranga
Materials 2026, 19(2), 290; https://doi.org/10.3390/ma19020290 - 10 Jan 2026
Viewed by 78
Abstract
The production of heavy gauge quenched and tempered steel plates requires alloying strategies that ensure adequate hardenability and microstructural uniformity under limited cooling rates. Molybdenum (Mo) and nickel (Ni) are key elements in this context, as they influence both hot-working behavior and phase [...] Read more.
The production of heavy gauge quenched and tempered steel plates requires alloying strategies that ensure adequate hardenability and microstructural uniformity under limited cooling rates. Molybdenum (Mo) and nickel (Ni) are key elements in this context, as they influence both hot-working behavior and phase transformation kinetics. This study investigates the effect of Mo (0.25–0.50 wt%) and Ni (0–1.00 wt%) additions on static recrystallization and transformation behavior using laboratory thermomechanical simulations representative of thick plate rolling conditions. Multipass and double-hit torsion tests were performed to determine the non-recrystallization temperature (Tnr) and quantify softening kinetics, while dilatometry was employed to construct Continuous Cooling Transformation (CCT) diagrams and assess hardenability. Results indicate that Mo significantly increases Tnr and delays recrystallization through a solute drag mechanism, whereas Ni exerts a minor but measurable effect, likely associated with stacking fault energy rather than classical solute drag. Both elements reduce ferrite and bainite transformation temperatures, enhancing hardenability; however, Mo alone cannot suppress ferrite formation at practical cooling rates, requiring combined Mo–Ni additions to achieve fully martensitic microstructures. These findings provide insight into alloy design for thick plate applications and highlight the limitations of existing predictive models for Ni-containing steels. Full article
(This article belongs to the Section Manufacturing Processes and Systems)
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17 pages, 356 KB  
Article
Pointwise-in-Time Error Analysis of the Nonuniform Alikhanov Scheme for the Fractional Wave Equation
by Mingze Sun and Chaobao Huang
Fractal Fract. 2026, 10(1), 34; https://doi.org/10.3390/fractalfract10010034 - 6 Jan 2026
Viewed by 172
Abstract
This paper develops a fully discrete finite element scheme for the fractional wave equation with order α(1,2), whose solution typically exhibits a weak singularity near the initial time t=0. By introducing an auxiliary [...] Read more.
This paper develops a fully discrete finite element scheme for the fractional wave equation with order α(1,2), whose solution typically exhibits a weak singularity near the initial time t=0. By introducing an auxiliary variable, we first reformulate the fractional wave problem into an equivalent coupled system of two fractional equations. The resulting coupled system is then discretized using the nonuniform Alikhanov formula in time and the standard finite element method on triangular meshes in space. Through rigorous analysis, we establish a pointwise-in-time error estimate for the proposed scheme in the H1 semi-norm. A key advantage of the proposed methodology is its ability to employ a sparser mesh near the initial time to achieve optimal convergence of local errors. In particular, our analysis shows that away from the initial time, the local rate of convergence reaches O(N2) in time for r2. Finally, numerical experiments are given to verify the sharpness of the theoretical convergence rates. Full article
17 pages, 4795 KB  
Article
Analysis of the Electro-Magnetic Properties of CORC Coil Considering Joint Resistance
by Ying Cai, Li Li, Mingzhen Yang and Chao Li
Appl. Sci. 2026, 16(1), 529; https://doi.org/10.3390/app16010529 - 5 Jan 2026
Viewed by 99
Abstract
Wounded with second-generation (2G) high temperature superconductors (HTS) tapes, the conductor on round core (CORC) coil exhibits notable benefits such as low AC loss, powerful current-carrying capability, and great mechanical properties, which makes it one of the optimal materials for high magnetic field [...] Read more.
Wounded with second-generation (2G) high temperature superconductors (HTS) tapes, the conductor on round core (CORC) coil exhibits notable benefits such as low AC loss, powerful current-carrying capability, and great mechanical properties, which makes it one of the optimal materials for high magnetic field generation in the engineering applications for fusion magnets. However, it is challenging for current manufacturing techniques to ensure the uniformity among the joint resistances of HTS tapes in CORC coils. And it will have a crucial impact on the electro-magnetic properties of CORC coils. Therefore, a three-dimension (3D) finite element model of CORC coils considering joint resistance is established, and the effects of joint resistance on the coils’ current distribution and AC losses are analyzed. Results show that during AC operation, uneven joint resistances and reactance arising from the coils’ helical winding structure will act together on the current among HTS tapes, causing non-uniform current distribution and increasing the total AC losses of CORC coils. Additionally, the uneven degree of the joint resistance raises the CORC coil’s overall AC loss. Full article
(This article belongs to the Special Issue Advances in Superconducting Technologies and Energy Systems)
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20 pages, 391 KB  
Article
The Effectiveness of Lithium in the Treatment of Bipolar Disorder and Its Potential Health Risk
by Giovana Kátia Viana Nucci, Elaine Silva de Pádua Melo, Marta Aratuza Pereira Ancel, Danusa Cespedes Guizzo, Kleber Francisco Meneghel Vargas, Marcelo de Oliveira, Marcelo Luiz Brandão Vilela and Valter Aragao do Nascimento
Psychiatry Int. 2026, 7(1), 11; https://doi.org/10.3390/psychiatryint7010011 - 5 Jan 2026
Viewed by 303
Abstract
Lithium carbonate is one of the most prescribed mood stabilizers worldwide and remains the first-line pharmacological treatment for bipolar disorder (BD). Its therapeutic efficacy is well established; however, lithium (Li) has a narrow therapeutic index, and prolonged or excessive intake can cause renal, [...] Read more.
Lithium carbonate is one of the most prescribed mood stabilizers worldwide and remains the first-line pharmacological treatment for bipolar disorder (BD). Its therapeutic efficacy is well established; however, lithium (Li) has a narrow therapeutic index, and prolonged or excessive intake can cause renal, neurological, or endocrine toxicity. In Brazil and globally, lithium-based formulations are widely commercialized; however, only Brazil adopts a specific regulatory classification distinguishing reference, generic, and similar medicines. Despite its extensive clinical use, studies monitoring the actual Li concentration in pharmaceutical products are extremely scarce. This study quantified Li concentrations in different formulations available in Brazil to evaluate their chemical uniformity, estimated daily intake, and potential health risks. Samples were digested and analyzed using Inductively Coupled Plasma Optical Emission Spectrometry (ICP OES). Statistical analysis with the Kruskal–Wallis test revealed significant differences among formulations (p = 0.012), confirming non-uniform Li content. Measured concentrations ranged from 245.47 to 315.24 mg/kg, with generic products showing the highest values. The calculated daily intake (DI) and chronic daily intake (CDI) increased with therapeutic dose (600–1800 mg/day), and higher-dose regimens frequently exceeded the permitted daily exposure (PDE) value for Li established by International Council for Harmonisation Guideline for Elemental Impurities (Revision 2) (ICH Q3D (R2) (0.55 mg/day). Moreover, hazard quotient (HQ) values above 1 in some scenarios indicated potential health risks associated with excessive or long-term Li exposure. As one of the first studies to quantify Li in marketed formulations, this work underscores the need for systematic monitoring and stricter quality control to ensure therapeutic safety. Full article
51 pages, 5351 KB  
Article
Isogeometric Transfinite Elements: A Unified B-Spline Framework for Arbitrary Node Layouts
by Christopher G. Provatidis
Axioms 2026, 15(1), 28; https://doi.org/10.3390/axioms15010028 - 29 Dec 2025
Viewed by 166
Abstract
This paper presents a unified framework for constructing partially unstructured B-spline transfinite finite elements with arbitrary nodal distributions. Three novel, distinct classes of elements are investigated and compared with older single Coons-patch elements. The first consists of classical transfinite elements reformulated using B-spline [...] Read more.
This paper presents a unified framework for constructing partially unstructured B-spline transfinite finite elements with arbitrary nodal distributions. Three novel, distinct classes of elements are investigated and compared with older single Coons-patch elements. The first consists of classical transfinite elements reformulated using B-spline basis functions. The second includes elements defined by arbitrary control point networks arranged in parallel layers along one direction. The third features arbitrarily placed boundary nodes combined with a tensor-product structure in the interior. For all three classes, novel macro-element formulations are introduced, enabling flexible and customizable nodal configurations while preserving the partition of unity property. The key innovation lies in reinterpreting the generalized coefficients as discrete samples of an underlying continuous univariate function, which is independently approximated at each station in the transfinite element. This perspective generalizes the classical transfinite interpolation by allowing both the blending functions and the univariate trial functions to be defined using non-cardinal bases such as Bernstein polynomials or B-splines, offering enhanced adaptability for complex geometries and nonuniform node layouts. Full article
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17 pages, 2031 KB  
Article
Physics-Informed Neural-Network-Based Generation of Composite Representative Volume Elements with Non-Uniform Distribution and High-Volume Fractions
by Tianlu Zheng, Chaocan Cai, Fan Yang, Rongguo Wang and Wenbo Liu
Polymers 2026, 18(1), 97; https://doi.org/10.3390/polym18010097 - 29 Dec 2025
Viewed by 270
Abstract
To reduce the reliance on large training sets for representative volume element (RVE) generation using machine learning, this work presents a novel approach based on physics-informed neural network (PINN) to generate RVEs for unidirectional fiber-reinforced composites with non-uniform fiber distributions and high-volume fractions. [...] Read more.
To reduce the reliance on large training sets for representative volume element (RVE) generation using machine learning, this work presents a novel approach based on physics-informed neural network (PINN) to generate RVEs for unidirectional fiber-reinforced composites with non-uniform fiber distributions and high-volume fractions. The method embeds physical constraints including fiber non-overlap, volume fraction, and boundary conditions directly into the neural network’s loss function. This integration eliminates the need for large training datasets, which is typically required by traditional machine learning methods. Moreover, it achieves volume fractions exceeding 0.8, surpassing the jamming limit of conventional generation techniques. Exhaustive statistical measurements taken at different scales confirm that the proposed method could accurately reproduce local fiber distribution patterns in realistic microstructures while maintaining complete randomness at larger scales. Finite element analysis was employed on the generated RVEs to predict the elastic properties and damage behavior that taking into account the interfacial debonding and nonlinear damage in matrix. The predictions of both macroscopic mechanical properties (elastic properties and strength) and microscopic damage patterns show good agreement with experimental results. The proposed PINN-based framework provides an efficient and reliable tool for computational micromechanics of polymer matrix composites. Full article
(This article belongs to the Section Polymer Physics and Theory)
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15 pages, 4503 KB  
Article
Phase Formation of Multielement Nanoparticles from Immiscible Elements in Electrically Exploding Joint-Twisted Wires
by Kun Wang, Si’ao Zhang, Jiacheng Wang, Zhiyuan Li and Weikang Zhou
Nanomaterials 2026, 16(1), 40; https://doi.org/10.3390/nano16010040 - 28 Dec 2025
Viewed by 235
Abstract
This paper presents the experimental and computational results characterizing the phase formation of multielement nanoparticles synthesized by the electrically exploding joint-twisted wires. The joint-twisted wires with different element compositions are exploded to investigate the influence of immiscible elements on the phase states of [...] Read more.
This paper presents the experimental and computational results characterizing the phase formation of multielement nanoparticles synthesized by the electrically exploding joint-twisted wires. The joint-twisted wires with different element compositions are exploded to investigate the influence of immiscible elements on the phase states of the multielement nanoparticles. The element contents of the multielement nanoparticles deviate from their initial element proportions of the joint-twisted wires due to the non-synchronous exploding process. The silver element enriches the nanoparticle surface, while aluminum, iron, cobalt, and nickel elements show a homogeneous distribution within the nanoparticle. The phase segregation can be adjusted by changing the initial proportion of the silver element in the joint-twisted wires. The decrease in the proportion of silver in joint-twisted wires promotes the homogeneity of silver in the multielement nanoparticles with the phase structure transition from the BCC phase to the FCC phase. A molecular dynamics simulation suggests that both higher initial temperature and more uniform initial mixing conditions facilitate the homogeneous merging of all elements. This study helps with gaining a deep understanding of the phase formation of multielement nanoparticles synthesized by the electrically exploding joint-twisted wires. Full article
(This article belongs to the Section Nanocomposite Materials)
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27 pages, 5396 KB  
Article
Development and Evaluation of Scaffolds Based on Perch Collagen–Hydroxyapatite for Advanced Synthetic Bone Substitutes
by Alina Elena Coman, Ana Maria Rosca, Maria Minodora Marin, Madalina Georgiana Albu Kaya, Raluca Gabor, Catalina Usurelu, Mihaela Violeta Ghica, Laurentiu Dinca and Irina Titorencu
Pharmaceutics 2026, 18(1), 33; https://doi.org/10.3390/pharmaceutics18010033 - 26 Dec 2025
Viewed by 366
Abstract
Background/Objectives: Bone defects remain widespread. Type I collagen–hydroxyapatite composites suit bone engineering by mimicking matrix structure, making them pertinent materials for bone tissue engineering across a range of defect types. Their application is well aligned with non-load-bearing conditions, while use in load-bearing sites [...] Read more.
Background/Objectives: Bone defects remain widespread. Type I collagen–hydroxyapatite composites suit bone engineering by mimicking matrix structure, making them pertinent materials for bone tissue engineering across a range of defect types. Their application is well aligned with non-load-bearing conditions, while use in load-bearing sites requires mechanical properties that meet the demands of those environments. Marine collagen offers a low-cost source from processing by-products. This work aimed to develop perch collagen–hydroxyapatite scaffolds for bone tissue engineering. Methods: Composites with COLL:HAp ratios of 100:0, 50:50, 40:60, and 30:70 were prepared. After crosslinking and freeze-drying, porosity and water absorption were examined. SEM and X-EDS assessed morphology and elemental distribution. FT-IR confirmed the chemical composition. Compression tests evaluated mechanical behavior. Cell viability and colonization assessed the biological performance. Biodegradability, thermal stability, and antimicrobial activity were also determined. Results: FT-IR confirmed the characteristic absorption bands of both components. SEM and swelling behavior showed porous, interconnected structures with uniform hydroxyapatite dispersion. X-EDS indicated Ca/P ratios consistent with hydroxyapatite. Thermal analysis demonstrated scaffold stability. Compression tests showed mechanical resistance for all the scaffolds, with stiffness increasing with the inorganic content. Perch collagen enhanced biological functionality, supporting osteoblast viability and colonization. Biodegradation gradually proceeded. Antibacterial activity against the tested pathogens was detectable, though moderate. Conclusions: The developed scaffolds combined structural stability, controlled degradation, and favorable cell response, constituting a viable and promising candidate for applications in bone tissue engineering. Full article
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23 pages, 10616 KB  
Article
Analysis of Sealing Characteristics of Hydraulic Clamping Flange Connection Mechanism
by Xiaofeng Liu, Qingchao Bu, Sitong Luan, Xuelian Cao, Yu Zhang, Chaoyi Mu, Junzhe Lin and Yafei Shi
Processes 2026, 14(1), 72; https://doi.org/10.3390/pr14010072 - 24 Dec 2025
Viewed by 375
Abstract
A novel hydraulically actuated uniform clamping flange connection mechanism is proposed to address the long-standing challenges in high-pressure natural gas flowmeter calibration, including cumbersome bolt-by-bolt assembly/disassembly, high leakage risk, and severe non-uniform gasket contact pressure associated with conventional multi-bolt flanges. Unlike traditional discrete [...] Read more.
A novel hydraulically actuated uniform clamping flange connection mechanism is proposed to address the long-standing challenges in high-pressure natural gas flowmeter calibration, including cumbersome bolt-by-bolt assembly/disassembly, high leakage risk, and severe non-uniform gasket contact pressure associated with conventional multi-bolt flanges. Unlike traditional discrete bolt loading, the proposed mechanism generates a continuous and actively adjustable circumferential clamping force via an integrated hydraulic annular piston, ensuring excellent sealing uniformity and rapid installation within minutes. A high-fidelity transient finite element model of the hydraulic clamping flange assembly is established, incorporating the nonlinear compression/rebound behavior of flexible graphite–stainless steel spiral-wound gaskets and one-way fluid–structure interaction under water hammer loading. Parametric studies reveal that reducing the effective clamping area to below 80% of the original design significantly intensifies stress concentration and compromises sealing integrity, while clamping force below 80% or above 120% of the nominal value leads to leakage or component overstress, respectively. Under steady 10 MPa pressurization, the flange exhibits a maximum stress of 150.57 MPa, a minimum gasket contact stress exceeding 30 MPa, and a rotation angle below 1°, demonstrating robust sealing performance. During a severe water hammer event induced by rapid valve closure, the peak flange stress remains acceptable at 140.41 MPa, while the minimum gasket contact stress stays above the critical sealing threshold (38.051 MPa). However, repeated water hammer cycles increase the risk of long-term gasket fatigue. This study introduces, for the first time, a hydraulic uniform-clamping flange solution that dramatically improves sealing reliability, installation efficiency, and operational safety in high-pressure flowmeter calibration and similar temporary high-integrity piping connections, providing crucial technical guidance for field applications. Full article
(This article belongs to the Topic Clean and Low Carbon Energy, 2nd Edition)
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19 pages, 4753 KB  
Article
High-Accuracy Modeling and Mechanism Analysis of Temperature Field in Ballastless Track Under Multi-Boundary Conditions
by Ying Wang and Yuelei He
Appl. Sci. 2026, 16(1), 166; https://doi.org/10.3390/app16010166 - 23 Dec 2025
Viewed by 202
Abstract
The non-uniform temperature distribution in ballastless track slabs under complex meteorological conditions can induce structural defects, threatening the safety of high-speed railways. Existing temperature field models often rely on idealized geometric and meteorological assumptions, thereby constraining a fine-grained and quantitative resolution of the [...] Read more.
The non-uniform temperature distribution in ballastless track slabs under complex meteorological conditions can induce structural defects, threatening the safety of high-speed railways. Existing temperature field models often rely on idealized geometric and meteorological assumptions, thereby constraining a fine-grained and quantitative resolution of the independent thermal effects governed by key boundary conditions. To address this, the current study proposes a temperature field analysis method integrating high-precision geometry and physical processes: the actual track geometry is reconstructed via 3D laser scanning point clouds, and a 3D transient heat conduction finite element model is developed by incorporating measured meteorological data and an astronomical model for dynamic solar radiation calculation. Results demonstrate close agreement between simulations and field measurements (MAPE < 5%, R2 > 0.92), validating the model’s accuracy. Further analysis reveals that the box girder substructure, due to the “air cavity heat accumulation effect,” causes greater temperature fluctuations at the slab bottom compared to the subgrade, increasing the maximum positive temperature gradient by approximately 9%. The track alignment significantly influences temperature distribution, with the east–west alignment (0°) exhibiting a peak surface temperature 1.30 °C higher than the north–south alignment (90°) and instantaneous temperature differences reaching up to 2.4 °C. This study delivers the first dedicated, quantitative analysis of the impact of track substructure and alignment on the temperature field of the slab, providing a theoretical basis for the differentiated design of ballastless tracks and the revision of temperature load standards. Full article
(This article belongs to the Section Civil Engineering)
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19 pages, 2944 KB  
Article
The Iodine–Dextrin–Lithium Complex: Morphology, Antibacterial Activity, and Cytotoxicity
by Daniil Shepilov, Seitzhan Turganbay, Ardak Jumagaziyeva, Tamara Bukeyeva, Dana Askarova, Didar Bolatova, Yerlan Doszhanov, Arman Zhumazhanov, Almagul Kerimkulova, Karina Saurykova and Aitugan Sabitov
Molecules 2025, 30(24), 4822; https://doi.org/10.3390/molecules30244822 - 18 Dec 2025
Viewed by 335
Abstract
A new iodine–dextrin–lithium complex (IDLC) was synthesized and structurally characterized as a hybrid supramolecular system combining antiseptic, stabilizing, and biocompatible components. The compound integrates iodine as the primary antimicrobial agent, lithium as a coordination and stabilization element, and dextrin as a biodegradable polysaccharide [...] Read more.
A new iodine–dextrin–lithium complex (IDLC) was synthesized and structurally characterized as a hybrid supramolecular system combining antiseptic, stabilizing, and biocompatible components. The compound integrates iodine as the primary antimicrobial agent, lithium as a coordination and stabilization element, and dextrin as a biodegradable polysaccharide matrix enabling sustained release. Physicochemical analyses confirmed the formation of a uniform, thermally stable complex. Biological evaluation revealed strong bactericidal activity, with minimum bactericidal concentrations (MBCs) ranging from 1.95 to 15.63 µg mL−1 against both Gram-positive and Gram-negative pathogens, including multidrug-resistant Staphylococcus aureus and Acinetobacter baumannii. Cytotoxicity studies revealed moderate, concentration-dependent effects on human peripheral blood mononuclear cells (CC50 = 0.23–0.48 mg/mL; 11.7–24.4 μg I/mL) and low toxicity toward MDCK cells (CC50 = 10–20 mg/mL; 507–1014 μg I/mL), confirming a favorable safety profile. IDLC exhibited cytotoxic effects on tumor cell lines (HepG2, HeLa, AGS, K562, and H9) as well as on the normal MeT-5A cell line; however, the CC50 values are similar, and selectivity indices are close to 1, indicating no selective cytotoxicity toward tumor cells. Thus, IDLC demonstrates non-specific cytotoxicity at high concentrations, consistent with its iodine content. The research confirms that iodine can be effectively stabilized within a dextrin-lithium framework to yield a biologically active, thermally resistant complex, suitable for pharmaceutical use. Full article
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16 pages, 2368 KB  
Article
Thermo-Chemo-Mechanical Coupling in TGO Growth and Interfacial Stress Evolution of Coated Dual-Pipe System
by Weiao Song, Tianliang Wu, Junxiang Gao, Xiaofeng Guo, Bo Yuan and Kun Lv
Coatings 2025, 15(12), 1498; https://doi.org/10.3390/coatings15121498 - 18 Dec 2025
Viewed by 220
Abstract
Improving the energy efficiency of advanced ultra-supercritical (USC) power plants by increasing steam operating temperature up to 700 °C can be achieved, at reduced cost, by using novel engineering design concepts, such as coated steam pipe systems manufactured from high temperature materials commonly [...] Read more.
Improving the energy efficiency of advanced ultra-supercritical (USC) power plants by increasing steam operating temperature up to 700 °C can be achieved, at reduced cost, by using novel engineering design concepts, such as coated steam pipe systems manufactured from high temperature materials commonly used in current operational power plants. The durability of thermal barrier coatings (TBC) in advanced USC coal power systems is critically influenced by thermally grown oxide (TGO) evolution and interfacial stress under thermo-chemo-mechanical coupling. This study investigates a novel dual-pipe coating system comprising an inner P91 steel pipe with dual coatings and external cooling, designed to mitigate thermal mismatch stresses while operating at 700 °C. A finite element framework integrating thermo-chemo-mechanical coupling theory is developed to analyze TGO growth kinetics, oxygen diffusion, and interfacial stress evolution. Results reveal significant thermal gradients across the coating, reducing the inner pipe surface temperature to 560 °C under steady-state conditions. Oxygen diffusion and interfacial curvature drive non-uniform TGO thickening, with peak regions exhibiting 23% greater thickness than troughs after 500 h of oxidation. Stress analysis identifies axial stress dominance at top coat/TGO and TGO/bond coat interfaces, increasing from 570 MPa to 850 MPa due to constrained volumetric changes and incompatible growth strains. The parabolic TGO growth kinetics and stress redistribution mechanisms underscore the critical role of thermo-chemo-mechanical interactions in interfacial degradation. These research findings will facilitate the optimization of coating architectures and the enhancement of structural integrity in high-temperature energy systems. Meanwhile, clarifying the stress evolution within the coating can improve the ability to predict failures in USC coal power technology. Full article
(This article belongs to the Section Surface Characterization, Deposition and Modification)
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31 pages, 4772 KB  
Article
Conic Section Elements Based on the Rational Absolute Nodal Coordinate Formulation
by Yaxiong Liu, Manyu Shi, Manlan Liu and Peng Lan
Mathematics 2025, 13(24), 3951; https://doi.org/10.3390/math13243951 - 11 Dec 2025
Viewed by 253
Abstract
The construction of rational absolute nodal coordinate formulation (RANCF) elements is usually based on a linear transformation of non-uniform rational B-spline (NURBS) geometry. However, this linear transformation can lead to property transfer issues, which greatly reduce the modeling efficiency, especially for conic sections. [...] Read more.
The construction of rational absolute nodal coordinate formulation (RANCF) elements is usually based on a linear transformation of non-uniform rational B-spline (NURBS) geometry. However, this linear transformation can lead to property transfer issues, which greatly reduce the modeling efficiency, especially for conic sections. To overcome this limitation, we first analyze the geometric constraints of conic sections and derive a unique defining equation in rational parametric form. A corresponding degree-elevation formula is also obtained. Using these results, we propose a direct definition method for RANCF elements that explicitly exploits the analytic properties of conic sections. The method provides fast and accurate expressions for the nodal coordinates and weights, and thus enables efficient modeling of RANCF elements for conic-section configurations. We also mitigate the arbitrariness in element definition by introducing, for the first time, the concept of a mapping factor K, which characterizes the mapping between the physical space and the parameter space. Based on this mapping factor, we establish a parameterization procedure for RANCF conic-section elements. An evaluation criterion for K is further proposed and used to define the optimal mapping factor Kopt, which yields an optimal parameterization and allows the construction of Kopt elements. Numerical examples demonstrate that, in large-deformation analyses of flexible systems, the proposed elements can achieve a given accuracy with fewer elements than conventional approaches. Full article
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22 pages, 8583 KB  
Article
Identification of Factors Leading to Damage of Semi-Elliptical Leaf Springs
by Mariusz Stańco, Marcin Kaszuba and Iwona Herbik
Materials 2025, 18(23), 5426; https://doi.org/10.3390/ma18235426 - 2 Dec 2025
Viewed by 367
Abstract
This article presents the results of experimental investigations conducted to explain the causes of premature failure of two leaves of a semi-elliptical leaf spring mounted in a four-axle heavy-duty truck. The primary intended use of the vehicle was the continuous transport of cargo [...] Read more.
This article presents the results of experimental investigations conducted to explain the causes of premature failure of two leaves of a semi-elliptical leaf spring mounted in a four-axle heavy-duty truck. The primary intended use of the vehicle was the continuous transport of cargo on unpaved roads with large, non-uniform irregularities. The vehicle equipped with the springs in question was loaded with a constant cargo placed in a rigid container. The Gross Vehicle Mass (GVM) was 32,000 kg (8000 kg/axle). During operation, it mostly traveled on rough terrain and off-road, at an average speed not exceeding 30 km/h. The semi-elliptical leaf springs used in the vehicle were supplied by a domestic manufacturer and produced according to a standard procedure that has been used for years. The experimental research included strain measurements of the springs during normal vehicle operation. In parallel, metallographic examinations of the fractured surfaces of the leaves were performed. The stress intensity (or stress state) of the springs in the vicinity of the resulting crack was also checked using the Finite Element Method (FEM). Subsequently, the fatigue life of the springs was estimated based on fatigue data available in the literature and the results of the conducted research. Full article
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