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Keywords = doubly-curved surfaces

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21 pages, 21807 KB  
Article
Low-Load and High-Precision Forming Technology for Large-Scale Graded Doubly Curved Q890 High-Strength Steel Thick Plates
by Shuo Wang, Lin Zhu, Bingyan Jing, Yibo Su, Chunyu Ou, Yanli Lin, Yingguang Zhao, Changdi Ma and Zhubin He
Materials 2026, 19(13), 2755; https://doi.org/10.3390/ma19132755 - 29 Jun 2026
Viewed by 359
Abstract
Large-scale asymmetric doubly curved thick shells made of high-strength steel are key components in deep-sea and nuclear pressure vessels. Integral pressing is an important manufacturing method for such components, but it still faces two major challenges: excessive clamping force and poor springback predictability. [...] Read more.
Large-scale asymmetric doubly curved thick shells made of high-strength steel are key components in deep-sea and nuclear pressure vessels. Integral pressing is an important manufacturing method for such components, but it still faces two major challenges: excessive clamping force and poor springback predictability. To address these issues, this study conducts a combined experimental and numerical investigation on a 16 mm thick Q890 high-strength steel plate. First, the through-thickness plastic gradient and cyclic stress–strain response of the material were characterized, and a mixed hardening model incorporating through-thickness gradient plasticity was established. To suppress the lateral force induced by the asymmetric geometry, a blank positioning strategy was proposed, reducing the lateral force to below 2 t (Reduced by 65%). More critically, a striking phenomenon is revealed: during the final 1 mm of the clamping stroke, the forming force surges abruptly from approximately 680 t to 5090 t. Detailed analysis identifies the root cause as the synergistic effects of a sharp increase in contact area, a drastic rise in frictional resistance, and the onset of localized upsetting in regions already in contact with the die. To suppress the load surge while maintaining forming accuracy, a normal-direction over-compensation strategy was proposed. By deliberately increasing the normal compensation, the blank retains a bending-dominant deformation mode at the target clamping position, thereby avoiding the critical contact expansion, frictional buildup, and localized upsetting that trigger the force surge. Through iterative simulations, the optimal die surface is determined, achieving a forming force below 1000 t with a simulated shape deviation within 0.96 mm. Experimental validation using a purpose-built die on a 1000 t press successfully produces the shell with a maximum profile deviation of 1.67 mm, meeting high-accuracy requirements. This work establishes a new paradigm for low-load, high-accuracy forming of thick high-strength steel shells by actively managing contact evolution and deformation mode via normal-direction over-compensation, offering a practical pathway to one-shot tryout success for critical pressure hulls. Full article
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23 pages, 758 KB  
Article
Element-Free Galerkin Method for Analyzing Size-Dependent Thermally Induced Free Vibration Characteristics of Functionally Graded Magneto-Electro-Elastic Doubly Curved Microscale Shells
by Chih-Ping Wu and Meng-Jung Liu
Materials 2026, 19(8), 1494; https://doi.org/10.3390/ma19081494 - 8 Apr 2026
Cited by 1 | Viewed by 445
Abstract
Within the framework of consistent couple stress theory (CCST) and employing Hamilton’s principle, we derive a Galerkin weak formulation to analyze the three-dimensional (3D) size-dependent free vibration characteristics of a simply supported, functionally graded (FG) magneto-electro-elastic (MEE) doubly curved (DC) microscale shell subjected [...] Read more.
Within the framework of consistent couple stress theory (CCST) and employing Hamilton’s principle, we derive a Galerkin weak formulation to analyze the three-dimensional (3D) size-dependent free vibration characteristics of a simply supported, functionally graded (FG) magneto-electro-elastic (MEE) doubly curved (DC) microscale shell subjected to a uniform temperature change. Incorporating the differential reproducing kernel (DRK) interpolants into the weak formulation, we further develop an element-free Galerkin (EFG) method. The microscale shell of interest is composed of two-phase MEE materials, and its material properties are assumed to vary through its thickness according to a power-law distribution of the volume fractions of the constituents. The results show that the natural frequency solutions obtained using the EFG method are in excellent agreement with the reported 3D solutions for laminated composite and FG-MEE macroscale plates, with the material length-scale parameter and the inverse of the curvature radii set to zero. The effects of the material length-scale parameter, temperature change, inhomogeneity index, and mid-surface radius and length-to-thickness ratios on the FG-MEE microscale shell’s free vibration characteristics in a thermal environment are examined and appear to be significant. Full article
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21 pages, 8325 KB  
Article
Neural Network-Based Prediction of Wave Pressure Distribution on Hyperbolic Paraboloid Surfaces
by Sam Smith, Gaoyuan Wu and Maria Garlock
J. Mar. Sci. Eng. 2025, 13(12), 2277; https://doi.org/10.3390/jmse13122277 - 29 Nov 2025
Viewed by 909
Abstract
Recent studies have demonstrated the potential of hyperbolic paraboloid (hypar), a doubly curved geometry, in coastal engineering applications. Predicting pressure distribution, critical for subsequent finite element analysis, on such novel three-dimensional structures require Computational Fluid Dynamics (CFD) simulations, which are computationally intensive. To [...] Read more.
Recent studies have demonstrated the potential of hyperbolic paraboloid (hypar), a doubly curved geometry, in coastal engineering applications. Predicting pressure distribution, critical for subsequent finite element analysis, on such novel three-dimensional structures require Computational Fluid Dynamics (CFD) simulations, which are computationally intensive. To address this challenge, the current study develops an artificial neural network (ANN) surrogate to predict pressure distributions on hypar free-surface breakwaters (FSBWs) under solitary wave loading. Using Smoothed Particle Hydrodynamics (SPH) as the CFD tool, simulations generate the supervised learning dataset, where inputs are the hypar warping Rn, breakwater draft dr, and wave height H. The targets consist of two 30×30 pressure maps at wave arrival (hydrostatic) and peak, together with the wave rise time {P(t0), P(tpeak), Δt=tpeakt0}. Three architectures, FNN, CNN, and DeepONet, are trained with homoscedastic uncertainty loss weighting, each at two parameter sizes (~50k and ~500k). Results for training and testing show that all models achieve low errors, with models with ~50k parameters found to be sufficient, and scaling to ~500k yields some generalization improvement. Further reducing the parameters (~5k) degrades accuracy for all models, with DeepONet proven most robust to parameter size reduction. Overall, this study introduces a novel SPH-ANN workflow for predicting wave pressures on hypar FSBWs, where inference on new samples occurs in a few milliseconds per sample, delivering orders-of-magnitude speedups relative to running new SPH simulations. This computational efficiency enables rapid design iteration and optimization of hypar FSBWs, facilitating their potential deployment in coastal defense. Full article
(This article belongs to the Section Ocean Engineering)
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27 pages, 6506 KB  
Article
Optimizing Glass Panel Geometry for Freeform Architecture: A Curvature-Based Pavilion Study
by Marta Gołębiowska
Buildings 2025, 15(20), 3635; https://doi.org/10.3390/buildings15203635 - 10 Oct 2025
Cited by 2 | Viewed by 1952
Abstract
This article proposes a methodological framework for the design of a freeform glass pavilion based on surface curvature analysis and systematic panel classification. The research methodology consists of two stages. The first stage is a historical review, presenting the development of glass-bending technologies, [...] Read more.
This article proposes a methodological framework for the design of a freeform glass pavilion based on surface curvature analysis and systematic panel classification. The research methodology consists of two stages. The first stage is a historical review, presenting the development of glass-bending technologies, panelization strategies, and the significance of transparency in architecture. The analysis of selected freeform realizations aims to identify structural solutions and their limitations. The second stage involves parametric modeling in Rhino/Grasshopper, applying Gaussian and mean curvature analysis to optimize surface subdivision. Finite element method (FEM) calculations and CFD simulations complemented the process by assessing structural and environmental parameters. Based on the study, a panel classification system was developed, distinguishing flat, singly curved, and doubly curved elements. This classification enables the optimization of production costs and serves as a tool for balancing geometric, structural, and economic requirements. The presented theoretical research indicates that the relationship between geometry, structure, and economic efficiency is a key factor in the design of glass architecture. The proposed methodology supports informed decision-making in the design process. Full article
(This article belongs to the Section Architectural Design, Urban Science, and Real Estate)
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14 pages, 10798 KB  
Article
Flexible Surface Reflector Antenna for Small Satellites
by Dong-Seok Kang, Dong-Hun Keum, Jun-Hyeong Choi, Min-Hyuk Lee, Kitae Park, Hwa-Young Jung, Deok-Soo Kang, Ji-Hyeon Yun, Jae-Wook Lee and Jin-Ho Roh
Aerospace 2025, 12(5), 414; https://doi.org/10.3390/aerospace12050414 - 7 May 2025
Cited by 4 | Viewed by 4008
Abstract
A novel deployable reflector antenna for small satellites has been designed, fabricated, and experimentally validated. The reflector utilizes a doubly curved flexible surface manufactured from a triaxially woven fabric-reinforced silicone (TWFS) composite. By leveraging high-strain composite materials, the design enables a highly compact [...] Read more.
A novel deployable reflector antenna for small satellites has been designed, fabricated, and experimentally validated. The reflector utilizes a doubly curved flexible surface manufactured from a triaxially woven fabric-reinforced silicone (TWFS) composite. By leveraging high-strain composite materials, the design enables a highly compact stowed configuration while maintaining precise surface accuracy upon deployment. The deployment mechanism is proposed to accommodate a 0.6 m diameter parabolic reflector within a minimal stowed volume, optimizing space efficiency for satellite integration. To validate this concept, a prototype of the reflector antenna has been fabricated and demonstrated the feasibility and effectiveness of the proposed approach. Full article
(This article belongs to the Special Issue Advanced Aerospace Composite Materials and Smart Structures)
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26 pages, 5407 KB  
Article
Forced Dynamics of Elastically Connected Nano-Plates and Nano-Shells in Winkler-Type Elastic Medium
by Marija Stamenković Atanasov, Ivan R. Pavlović, Julijana Simonović, Cristina Borzan, Ancuţa Păcurar and Răzvan Păcurar
Appl. Sci. 2025, 15(5), 2765; https://doi.org/10.3390/app15052765 - 4 Mar 2025
Cited by 2 | Viewed by 1602
Abstract
Nano-structures play a crucial role in advancing technology due to their unique properties and applications in various fields. This study examines the forced vibration behavior of an orthotropic nano-system consisting of an elastically connected nanoplate and a doubly curved shallow nano-shell. Both nano-elements [...] Read more.
Nano-structures play a crucial role in advancing technology due to their unique properties and applications in various fields. This study examines the forced vibration behavior of an orthotropic nano-system consisting of an elastically connected nanoplate and a doubly curved shallow nano-shell. Both nano-elements are simply supported and embedded in a Winkler-type elastic medium. Utilizing the Eringen constitutive elastic relation, Kirchhoff–Love plate theory, and Novozhilov’s linear shallow shell theory, we derive a system of four coupled nonhomogeneous partial differential equations (PDEs) describing the forced transverse vibrations of the system. We perform forced vibration analysis using modal analysis. The developed model is a novel approach that has not been extensively researched by other authors. Therefore, we provide insights into the nano-system of an elastically connected nanoplate and a doubly curved shallow nano-shell, offering a detailed analytical and numerical analysis of the PDEs describing transverse oscillations. This includes a clear insight into natural frequency analysis and the effects of the nonlocal parameter. Additionally, damping proportional coefficients and external excitation significantly influence the transverse displacements of both the nanoplate and nano-shell. The proposed mathematical model of the ECSNPS aids in developing new nano-sensors that respond to transverse vibrations based on the geometry of the nano-shell element. These sensors are often used to adapt to curved surfaces in medical practice and gas sensing. Full article
(This article belongs to the Section Nanotechnology and Applied Nanosciences)
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29 pages, 3225 KB  
Article
Hierarchical Free Vibration Analysis of Variable-Angle Tow Shells Using Unified Formulation
by Domenico Andrea Iannotta, Gaetano Giunta, Levent Kirkayak and Marco Montemurro
J. Compos. Sci. 2025, 9(2), 55; https://doi.org/10.3390/jcs9020055 - 24 Jan 2025
Cited by 3 | Viewed by 2205
Abstract
This paper investigates the dynamic behavior of shell structures presenting variable-angle tow laminations. The choice of placing fibers along curvilinear patterns allows for a broader structural design space, which is advantageous in several engineering contexts, provided that more complex numerical analyses are managed. [...] Read more.
This paper investigates the dynamic behavior of shell structures presenting variable-angle tow laminations. The choice of placing fibers along curvilinear patterns allows for a broader structural design space, which is advantageous in several engineering contexts, provided that more complex numerical analyses are managed. In this regard, Carrera’s unified formulation has been widely used for studying variable-angle tow plates and shells. This article aims to expand this formulation through the derivation of the complete formulation for a generic shell reference surface. The principle of virtual displacements is used as a variational statement for obtaining, in a weak sense, the stiffness and mass matrices within the finite element solution method. The free vibration problem of singly and doubly curved variable-angle tow shells is then addressed. The proposed approach is compared to Abaqus three-dimensional reference solutions and classical theories to investigate the effectiveness of the developed models in predicting the vibrational frequencies and modes. The results demonstrate a good agreement between the proposed approach and reference solutions. Full article
(This article belongs to the Special Issue Feature Papers in Journal of Composites Science in 2024)
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20 pages, 8623 KB  
Article
Injection 3D Printing of Doubly Curved Ceramic Shells in Non-Synthetic Particle Suspensions
by Vesela Tabakova, Christina Klug and Thomas H. Schmitz
Materials 2024, 17(16), 3955; https://doi.org/10.3390/ma17163955 - 9 Aug 2024
Cited by 4 | Viewed by 2000
Abstract
This paper examines the application of non-synthetic particle suspensions as a support medium for the additive manufacturing of complex doubly curved ceramic shells with overhangs between 0° and 90° using clay paste. In this method, the build-up material is injected within a constant [...] Read more.
This paper examines the application of non-synthetic particle suspensions as a support medium for the additive manufacturing of complex doubly curved ceramic shells with overhangs between 0° and 90° using clay paste. In this method, the build-up material is injected within a constant volume of air-permeable particle suspension. As the used clay paste does not solidify right after injection, the suspension operates like a support medium and enables various print path strategies. Different non-synthetic suspension mixtures, including solid and flexible components such as quartz sand, refractory clay, various types of wood shavings, and cotton flocks, were evaluated for their ability to securely hold the injected material while allowing drying of the water-based clay body and its shrinkage. The balance between grain composition, added water, and the compressibility of the mixture during printing and drying played a pivotal role in the particle suspension design and assessment. Furthermore, the moisture absorption of the particle suspension and the structural integrity of the layer bond of the fired ceramics were also assessed. The examined additive manufacturing process not only enables the production of meso-scale doubly curved ceramic shells with average overhang of 56° but also introduces a new practice for designing specialized surfaces and constructions. Full article
(This article belongs to the Special Issue Additive Manufacturing of Ceramics and Composites)
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21 pages, 4924 KB  
Article
Design and Manufacture of Multifunctional 3-D Smart Skins with Embedded Sensor Networks for Robotic Applications
by Elliot Ransom, Xiyuan Chen, William Mangram, Amir Nasrollahi, Tanay Topac and Fu-Kuo Chang
Sensors 2024, 24(11), 3441; https://doi.org/10.3390/s24113441 - 27 May 2024
Cited by 1 | Viewed by 2640
Abstract
An investigation was performed to develop a process to design and manufacture a 3-D smart skin with an embedded network of distributed sensors for non-developable (or doubly curved) surfaces. A smart skin is the sensing component of a smart structure, allowing such structures [...] Read more.
An investigation was performed to develop a process to design and manufacture a 3-D smart skin with an embedded network of distributed sensors for non-developable (or doubly curved) surfaces. A smart skin is the sensing component of a smart structure, allowing such structures to gather data from their surrounding environments to make control and maintenance decisions. Such smart skins are desired across a wide variety of domains, particularly for those devices where their surfaces require high sensitivity to external loads or environmental changes such as human-assisting robots, medical devices, wearable health components, etc. However, the fabrication and deployment of a network of distributed sensors on non-developable surfaces faces steep challenges. These challenges include the conformal coverage of a target object without causing prohibitive stresses in the sensor interconnects and ensuring positional accuracy in the skin sensor deployment positions, as well as packaging challenges resulting from the thin, flexible form factor of the skin. In this study, novel and streamlined processes for making such 3-D smart skins were developed from the initial sensor network design to the final integrated skin assembly. Specifically, the process involved the design of the network itself (for which a physical simulation-based optimization was developed), the deployment of the network to a targeted 3D surface (for which a specialized tool was designed and implemented), and the assembly of the final skin (for which a novel process based on dip coating was developed and implemented.) Full article
(This article belongs to the Special Issue Advances in Flexible Self-Powered Electronics Sensors)
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11 pages, 6827 KB  
Proceeding Paper
Structural Folding for Architectural Applications
by Andrei Nejur
Eng. Proc. 2023, 43(1), 27; https://doi.org/10.3390/engproc2023043027 - 18 Sep 2023
Cited by 1 | Viewed by 3150
Abstract
The environmental impact of the construction industry (CI) is no longer a matter of debate. On the other hand, society is in a constant race to build bigger and more audaciously. To mitigate these competing directions, CI is turning to geometry and computation [...] Read more.
The environmental impact of the construction industry (CI) is no longer a matter of debate. On the other hand, society is in a constant race to build bigger and more audaciously. To mitigate these competing directions, CI is turning to geometry and computation to reduce new material consumption and to improve the structural properties of buildings. Aluminum, with its remarkable weight to stiffness ratio and its natural anticorrosive properties, is at the forefront of this endeavor. For structural applications, aluminum is mainly used in its extruded form, while the rolled (sheet) material is preferred for architectural finishings and non-structural applications due to its low stiffness. However, with the advent of computational design and ubiquitous 2d CNC cutting, sheet metal can be used for bespoke architectural applications that combine aesthetic, structural, and environmental innovations. This paper will present two research projects developed in an academic setting at University of Montreal’s School of Architecture that use low thickness aluminum sheets to build bespoke architectural structures. The first project highlights an innovative use of surface discretization and assembly tabs to induce stiffness in large-scale doubly curved architectural surfaces and thus produces complex, free-standing aluminum surfaces with no support structure. The second project introduces a new folded low-tech ultralight aluminum node (300–400 gr) that is used to produce complex reticular wooden structures with nonstandard angles using reclaimed 2 × 4 wooden studs. Both projects culminated in full-scale research demonstrators with architectural pavilions exhibited on the university campus in 2021 and 2022. Full article
(This article belongs to the Proceedings of The 15th International Aluminium Conference)
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13 pages, 2241 KB  
Article
Development, Characterization and Valuable Use of Novel Dosimeter Film Based on PVA Polymer Doped Nitro Blue Tetrazolium Dye and AgNO3 for the Accurate Detection of Low X-ray Doses
by Saleh Alashrah, Yassine El-Ghoul, Faisal Muteb Almutairi and Mohammed Ahmed Ali Omer
Polymers 2021, 13(18), 3140; https://doi.org/10.3390/polym13183140 - 17 Sep 2021
Cited by 13 | Viewed by 4315
Abstract
Currently, the uncontrolled exposure of individuals to X-rays during medical examinations represents a substantial danger that threatens both medical professionals and patients. Therefore, radiation dosimetry for low X-ray doses is a very important control of radiation practice in medical diagnostic radiology. In line [...] Read more.
Currently, the uncontrolled exposure of individuals to X-rays during medical examinations represents a substantial danger that threatens both medical professionals and patients. Therefore, radiation dosimetry for low X-ray doses is a very important control of radiation practice in medical diagnostic radiology. In line with this, the current study proposes a valuable dosimeter-based PVA thin film doubly doped with silver nitrate salt and nitro blue tetrazolium dye. The nanocomposite film was prepared via a simple casting method and the different processing parameters were optimized. The performance of radiation detection was evaluated according to optical, chromic, chemical and structural changes after exposure to variable low X-ray doses (0, 2, 4, 10 and 20 mGy). The different film labels exhibited an excellent stability behavior in dark and light upon 30 days of storage. The UV-Vis spectrophotometric study showed a gradual increase in the maximum absorbance as a function of the dose and the corresponding response curve confirmed this linear variation (R = 0.998). A clear structural modification was recorded via X-ray diffraction (XRD) analysis revealing the increase in crystallinity with the level of the dose received by the nanocomposite films. Microscopic surface analysis via SEM assessments revealed a significant morphological change in PVA/Ag+/NBT films exposed to increased radiation doses and typical dendrites growing in needle- or tree-like microstructures appeared with a high X-ray dose. Finally, the nanocomposite films before and after irradiation were evaluated via a spectrocolorimetric study and the different CIELab coordinates, the color difference, as well as the color strength, showed a linear correlation with the intensity of the applied dose. This new dosimeter design could, therefore, provide a promising and efficient alternative for prompt and accurate detection of low X-rays doses in diagnostic radiology. Full article
(This article belongs to the Special Issue Polymers for Diagnostics and Therapy)
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16 pages, 13481 KB  
Article
Numerical Study on the Plastic Forming of Doubly Curved Surfaces of Aluminum Foam Sandwich Panel Using 3D Voronoi Model
by Xi Zhang, Qingmin Chen, Jiaxin Gao, Mingwei Wang, Ya Zhang and Zhongyi Cai
Metals 2021, 11(5), 675; https://doi.org/10.3390/met11050675 - 21 Apr 2021
Cited by 17 | Viewed by 3464
Abstract
This paper presents a numerical investigation on the plastic forming of doubly curved surfaces of aluminum foam sandwich panel (AFSP). A mesoscopic 3D Voronoi model that can describe the structure of closed-cell aluminum foam relatively realistically was established, and a series of numerical [...] Read more.
This paper presents a numerical investigation on the plastic forming of doubly curved surfaces of aluminum foam sandwich panel (AFSP). A mesoscopic 3D Voronoi model that can describe the structure of closed-cell aluminum foam relatively realistically was established, and a series of numerical simulations using the model of the sandwich panel with a Voronoi foam core were conducted on the plastic forming of two typical doubly curved surfaces including spherical and saddle-shaped surfaces of AFSPs to analyze the deformation behaviors and the forming defects in detail. Multi-point forming experiments of spherical and saddle-shaped AFSPs with different target radii were implemented and the doubly curved panels with good forming quality were obtained. The simulated results of the surface illumination maps, the face sheet profiles, and the maximum strain differences in selected areas of the face sheet and the experimental results indicated that the Voronoi AFSP model can reflect the actual defects occurred in the plastic forming of doubly curved sandwich panels, and the high forming accuracy of the sandwich panel model was also demonstrated in terms of the shape error and the thickness variation. Full article
(This article belongs to the Section Metal Casting, Forming and Heat Treatment)
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19 pages, 6433 KB  
Article
Permselectivity of Cation Exchange Membranes Modified by Polyaniline
by Irina Falina, Natalia Loza, Sergey Loza, Ekaterina Titskaya and Nazar Romanyuk
Membranes 2021, 11(3), 227; https://doi.org/10.3390/membranes11030227 - 23 Mar 2021
Cited by 43 | Viewed by 6346
Abstract
This work discusses the applicability of polyaniline-modified cation exchange membranes for the separation of monovalent/divalent cations by electrodialysis. A novel method of membrane modification directly in the electrodialysis unit is used to prepare permselective membranes. Complex characterization of the membranes before and after [...] Read more.
This work discusses the applicability of polyaniline-modified cation exchange membranes for the separation of monovalent/divalent cations by electrodialysis. A novel method of membrane modification directly in the electrodialysis unit is used to prepare permselective membranes. Complex characterization of the membranes before and after modification allows revealing the influence of membrane matrix on the modification efficiency. The characterization of the membranes includes determination of the diffusion permeability, specific conductivity and current–voltage curves in HCl, NaCl and CaCl2 solutions, as well as transport-structural parameters of the extended three-wire model. The characterization results are used to predict the influence of the modification on membrane permselectivity. The competitive mass transfer of singly and doubly charged cations in the electrodialysis process is investigated in underlimiting and overlimiting currents. Electrodialysis desalination of a solution containing Na+/Ca2+ or H+/Ca2+ cations shows that the modification leads to an increase in membrane permselectivity to single-charged cations due to the repulsion of Ca2+ ions from the positively charged membrane surface. The permselectivity of the polyaniline-modified perfluorinated membrane to H+ in the mixture of H+/Ca2+ cations is observed in all current regimes. Full article
(This article belongs to the Special Issue Ion-Exchange Membranes and Processes (Volume II))
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19 pages, 1704 KB  
Review
Recent Advances in the Laser Forming Process: A Review
by Mehdi Safari, Ricardo Alves de Sousa and Jalal Joudaki
Metals 2020, 10(11), 1472; https://doi.org/10.3390/met10111472 - 4 Nov 2020
Cited by 42 | Viewed by 9759
Abstract
Laser forming is an emerging manufacturing process capable of producing either uncomplicated and complicated shapes by employing a concentrated heating source. The heat source movement creates local softening, and a plastic strain will be induced during the rise of temperature and the subsequent [...] Read more.
Laser forming is an emerging manufacturing process capable of producing either uncomplicated and complicated shapes by employing a concentrated heating source. The heat source movement creates local softening, and a plastic strain will be induced during the rise of temperature and the subsequent cooling. This contactless forming process may be used for the simple bending of sheets and tubes or fabrication of doubly-curved parts. Different studies have been carried out over recent years to understand the mechanism of forming and predicting the bending angle. The analysis of process parameters and search for optimized manufacturing conditions are among the most discussed topics. This review describes the main recent findings in the laser forming of single and multilayer sheets, composite and fiber-metal laminate plates, force assisted laser bending, tube bending by laser beam, the optimization technique implemented for process parameters selection and control, doubly-curved parts, and the analytical solutions in laser bending. The main focus is set to the researches published since 2015. Full article
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21 pages, 11193 KB  
Article
Free Vibration Analysis of Laminated Functionally Graded Carbon Nanotube-Reinforced Composite Doubly Curved Shallow Shell Panels Using a New Four-Variable Refined Theory
by Vu Van Tham, Tran Huu Quoc and Tran Minh Tu
J. Compos. Sci. 2019, 3(4), 104; https://doi.org/10.3390/jcs3040104 - 1 Dec 2019
Cited by 30 | Viewed by 4266
Abstract
In this paper, a new four-variable refined shell theory is developed for free vibration analysis of multi-layered functionally graded carbon nanotube-reinforced composite (FG-CNTRC) doubly curved shallow shell panels. The theory has only four unknowns and satisfies zero stress conditions at the free surfaces [...] Read more.
In this paper, a new four-variable refined shell theory is developed for free vibration analysis of multi-layered functionally graded carbon nanotube-reinforced composite (FG-CNTRC) doubly curved shallow shell panels. The theory has only four unknowns and satisfies zero stress conditions at the free surfaces without correction factor. Five different types of carbon nanotube (CNTs) distribution through the thickness of each FG-CNT layer are considered. Governing equations of simply supported doubly curved FG-CNTRC panels are derived from Hamilton’s principle. The resultant eigenvalue system is solved to obtain the frequencies and mode shapes of the anti-symmetric cross-ply laminated panels by using the Navier solution. The numerical results in the comparison examples have proved the accuracy and efficiency of the developed model. Detailed parametric studies have been carried out to reveal the influences of CNTs volume fraction, CNTs distribution, CNTs orientation, dimension ratios and curvature on the free vibration responses of the doubly curved laminated FG-CNTRC panels. Full article
(This article belongs to the Special Issue Multifunctional Composites)
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