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Keywords = buckling critical force

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14 pages, 1598 KB  
Article
Mechanics of Long-Shank 5 mm Neural Probe Insertion into the Rat Brain: Effects of Geometry and Vibration-Assisted Insertion
by Mahasty Khajehzadeh, Christopher K. Nguyen, Mrigank Maharana, Shriya Peddapuram, Alexandra Joshi-Imre, Juan M. Pascual and Stuart F. Cogan
Micromachines 2026, 17(6), 684; https://doi.org/10.3390/mi17060684 - 31 May 2026
Viewed by 396
Abstract
Insertion of microelectrode arrays (MEAs) into brain tissue remains a mechanical challenge, especially for long, thin probes designed to access deep structures. This study investigates the mechanical properties of 5 mm long amorphous silicon carbide (a-SiC) probes with different geometries and the effect [...] Read more.
Insertion of microelectrode arrays (MEAs) into brain tissue remains a mechanical challenge, especially for long, thin probes designed to access deep structures. This study investigates the mechanical properties of 5 mm long amorphous silicon carbide (a-SiC) probes with different geometries and the effect of vibration-assisted insertion on penetration into rat brain. Methods: Two planar a-SiC probe designs were fabricated with identical lengths and thicknesses but differing width geometries: one with a uniform width (175 µm) and the other with a tapered shape (tapering from 175 to 75 µm). Critical buckling forces (FCs) were estimated by finite element modeling (FEM) and validated experimentally. Insertion mechanics were assessed in a brain mimic of 1.2% agarose gel at varying insertion speeds (20–1000 µm/s) and in vivo by implantation in rat cortex. Insertion metrics included penetration force (FP), cortical dimpling depth (Dd), maximum insertion force (Fmax), and success rate of insertion, all evaluated with and without vibrational assistance. Results: The tapered design exhibited lower penetration force and higher insertion success compared to the uniform-width probe, despite having a lower critical buckling force. An optimal insertion rate of 100 µm/s was identified, balancing insertion time with low Fmax and high insertion success across designs. Higher FP and Dd with a lower success rate were observed for uniform probes compared with tapered probes in rat brain. Vibration-assisted insertion was then investigated with tapered probes. Applying vibration significantly reduced FP, whereas Dd and Fmax remained unchanged. Notably, in 40% of actuated insertions in rat, no detectable FP peak was observed, suggesting unimpeded pial penetration. Conclusions: A tapered probe geometry and vibration-assisted insertion can reduce Fmax and FP while enhancing the insertion success rate for probe penetration in rat brain. These strategies are generally applicable to long-shank MEA insertions in brain and may inform design and insertion strategies. Full article
(This article belongs to the Special Issue Neural Microelectrodes: Design, Integration, and Applications)
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38 pages, 4026 KB  
Article
Thermal Buckling Analysis of Bimodular Functionally Graded Rectangular Thin Plates
by Xiao-Ting He, Xiao-Wei Zhang, Jun-Yi Sun and Ying Guo
Mathematics 2026, 14(11), 1809; https://doi.org/10.3390/math14111809 - 23 May 2026
Viewed by 349
Abstract
This paper investigates the thermal buckling behavior of a four-edge simply supported bimodular functionally graded rectangular thin plate subjected to thermal loads. Unlike existing studies, this work introduces the bimodular effect into the thermal buckling analysis of functionally graded thin plates for the [...] Read more.
This paper investigates the thermal buckling behavior of a four-edge simply supported bimodular functionally graded rectangular thin plate subjected to thermal loads. Unlike existing studies, this work introduces the bimodular effect into the thermal buckling analysis of functionally graded thin plates for the first time, accounting for the influence of tension–compression modulus on the critical temperature difference. The problem is challenging due to the complexity of materials and the nonlinearity of structural thermal buckling. For the theoretical analysis, we propose a simplified mechanical model which contains the four important assumptions: there exists a neutral plane in bending; the influence of shear stresses may be neglected; the membrane effect and bending effect are considered separately; and there are two different buckling regimes: a compression-dominated pre-buckling state and a bending-dominated post-buckling state. Three types of thermal loading cases are considered, including uniform temperature rise, linear temperature gradient through the thickness, and nonlinear temperature distribution satisfying Fourier’s law of heat conduction. Within the framework of the simplified mechanical model, the pre-buckling membrane forces, equilibrium equations, and stability equations are derived, thus obtaining a closed-form analytical expression for the critical buckling temperature difference under three different temperature rise modes. The reliability of the present analytical model is validated through comparison with finite element results. Furthermore, a detailed parametric study is conducted to reveal the influences of aspect ratio, width-to-thickness ratio of plate, bimodular indices, and gradient parameters of materials on the critical temperature difference. The results provide a theoretical basis for the thermal stability design of bimodular functionally graded plates operating in high-temperature environments. Full article
(This article belongs to the Special Issue Computational Mechanics and Applied Mathematics, 2nd Edition)
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19 pages, 1402 KB  
Article
Buckling Analysis of Thin Isotropic Rectangular Plate with Large Displacement Subject to Biaxial In-Plane Forces
by Edward Ingio Adah, Hycienth Uka Edubi, Ambrosios-Antonios Savvides and Ahmed M. Ebid
Eng 2026, 7(6), 253; https://doi.org/10.3390/eng7060253 - 22 May 2026
Viewed by 483
Abstract
Thin rectangular plates, due to their small thickness relative to length and width and their high strength-to-weight ratio, are widely used in structural elements such as ship hulls, bridge decks, and aircraft wings. They are prone to nonlinear buckling under compressive forces, especially [...] Read more.
Thin rectangular plates, due to their small thickness relative to length and width and their high strength-to-weight ratio, are widely used in structural elements such as ship hulls, bridge decks, and aircraft wings. They are prone to nonlinear buckling under compressive forces, especially under biaxial in-plane compressive loading with large displacements, where linear theories often fail and membrane stresses complicate analysis. This study aimed to formulate a general mathematical equation for buckling analysis of thin rectangular isotropic plates with large displacements subject to biaxial in-plane forces using the Ritz potential energy functional method, and incorporates both geometric and material nonlinearities. Based on the formulated general equation, a specific equation for an all-round simply supported (SSSS) plate was developed using polynomial displacement shape function to determine the stiffness characteristics. Numerical values for critical buckling and post-buckling loads under biaxial compression for a square plate case were obtained. To validate these results, a comparison with values in the literature was made and the results show high consistency. The uniaxial buckling deviations ranged 0.047–0.10%, while undeformed biaxial buckling coefficients across varying aspect ratios and loading ratios (n = Ny/Nx) showed near-zero differences. From the two studies used for comparison, the maximum deviation is 24.42% and the minimum deviation is 1.12%. This indicates that the new model is adequate. Also, the adequacy of this new equation can be judged based on the simplicity of the formulation, and the closed agreement of the obtained numerical results with established results in the literature. This research enhances theoretical understanding of nonlinear buckling in thin plates and offers practical insights for improving structural reliability and efficiency in civil, mechanical, aerospace, and marine engineering. Therefore, the conclusion is that the model is suitable for buckling and post-buckling analysis of thin rectangular isotropic plates. Full article
(This article belongs to the Section Chemical, Civil and Environmental Engineering)
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21 pages, 2691 KB  
Article
Wave Blocking in the Hydroelastic Response of a Floating Flexible Platform Under Compression Using Timoshenko–Mindlin Beam Theory
by Pouria Amouzadrad, Sarat Chandra Mohapatra and C. Guedes Soares
J. Mar. Sci. Eng. 2026, 14(8), 751; https://doi.org/10.3390/jmse14080751 - 20 Apr 2026
Viewed by 400
Abstract
A hydroelastic theoretical model is formulated, and an analytical solution is obtained to investigate the interaction between wave-opposing current loading with compression and a moored floating flexible platform within the framework of Timoshenko–Mindlin beam theory based on the linearized wave and small structural [...] Read more.
A hydroelastic theoretical model is formulated, and an analytical solution is obtained to investigate the interaction between wave-opposing current loading with compression and a moored floating flexible platform within the framework of Timoshenko–Mindlin beam theory based on the linearized wave and small structural response. By employing the matching technique and orthogonal mode-coupling relation, the closed-form analytical solutions for structural displacement, as well as shear force and bending moment, are obtained. The wave blocking and buckling limit in the presence of compressive force against an opposing current is determined via group and phase velocities from the dispersion relation in the context of the Timoshenko–Mindlin beam theory. Further, the combined influence of opposing current, compressive loading, and key structural design parameters on the hydroelastic response are examined. The results demonstrate that opposing currents and compressive forces can significantly alter the hydroelastic response, highlighting their critical role in structural engineering analysis. The current analysis provides a comprehensive analytical framework that can support the design and optimization of floating flexible platforms in the presence of opposing currents and compressive loads in complex marine environments. Full article
(This article belongs to the Section Ocean Engineering)
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18 pages, 1561 KB  
Article
Study on Buckling Mechanical Behavior of Variable Cross-Section Tubing in Ultra-High-Temperature and High-Pressure Gas Wells
by Yijun Zhang, Jiaqi Li, Zhipeng Xiang, Hui Zhang, Boyuan Yang, Xinrui Wang and Baokang Wu
Processes 2026, 14(8), 1243; https://doi.org/10.3390/pr14081243 - 13 Apr 2026
Viewed by 474
Abstract
Buckling of variable-diameter tubing strings in ultra-high-temperature and high-pressure (UHTHP) deviated wells presents challenges that cannot be addressed by existing uniform-tubing models. This study develops a segmented Euler–Bernoulli buckling model that accounts for stiffness discontinuities at diameter transitions, temperature–pressure-coupled effective axial force, and [...] Read more.
Buckling of variable-diameter tubing strings in ultra-high-temperature and high-pressure (UHTHP) deviated wells presents challenges that cannot be addressed by existing uniform-tubing models. This study develops a segmented Euler–Bernoulli buckling model that accounts for stiffness discontinuities at diameter transitions, temperature–pressure-coupled effective axial force, and wellbore-constraint effects. The model is developed for packer-constrained variable-diameter production tubing under UHTHP gas-production conditions. A global transfer matrix formulation is introduced to derive buckling characteristic conditions and critical loads. Results show that reduced stiffness at diameter transitions facilitates localized buckling and promotes the shift from sinusoidal to helical modes as the effective axial force increases. Variations in tubing or casing inner diameter significantly alter buckling-zone lengths and induce abrupt changes in dogleg severity. The proposed model provides a practical analytical framework for predicting the buckling behavior of variable-diameter tubing strings in UHTHP wells and offers guidance for tubing design and well integrity assessment. Full article
(This article belongs to the Section Petroleum and Low-Carbon Energy Process Engineering)
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19 pages, 6836 KB  
Article
Thermoelastic Vibration of Functionally Graded Porous Euler–Bernoulli Beams Using the Differential Transformation Method
by Selin Kaptan and İbrahim Özkol
Appl. Sci. 2026, 16(7), 3271; https://doi.org/10.3390/app16073271 - 27 Mar 2026
Viewed by 395
Abstract
Functionally graded porous beams are increasingly used in lightweight engineering structures, where thermal effects and material inhomogeneity significantly influence vibration behavior. In this study, the thermoelastic free vibration of functionally graded porous Euler–Bernoulli beams with temperature-dependent material properties is investigated by considering uniform [...] Read more.
Functionally graded porous beams are increasingly used in lightweight engineering structures, where thermal effects and material inhomogeneity significantly influence vibration behavior. In this study, the thermoelastic free vibration of functionally graded porous Euler–Bernoulli beams with temperature-dependent material properties is investigated by considering uniform and symmetric porosity distributions, together with uniform, linear, and nonlinear temperature fields. The governing equations are derived based on classical Euler–Bernoulli beam theory and solved using the Differential Transformation Method, while the accuracy of the semi-analytical formulation is verified through a Hermite-based finite element model. The results show that increasing temperature reduces the bending stiffness due to thermal axial forces and leads to a rapid decrease in natural frequency as the critical buckling temperature is approached. Increasing porosity generally decreases the natural frequency, although a slight increase may occur in symmetric distributions because of the accompanying reduction in mass density. The present study provides a computational framework for the thermo-vibration analysis of functionally graded porous beams in lightweight structural applications. Full article
(This article belongs to the Section Acoustics and Vibrations)
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19 pages, 3596 KB  
Article
Experimental Study on Mechanical Properties of Double-Stage Yield Buckling Restrained Braces
by Yangyang Zhang, Runyu Cheng and Wenlong Shi
Buildings 2026, 16(6), 1106; https://doi.org/10.3390/buildings16061106 - 11 Mar 2026
Viewed by 357
Abstract
With the growing demand for seismic resilience in urban building structures, the development of high-performance energy-dissipation components has become critical for enhancing structural safety and mitigating earthquake-induced damage. Traditional buckling restrained braces (BRBs) are typically designed to remain elastic under frequent earthquakes, limiting [...] Read more.
With the growing demand for seismic resilience in urban building structures, the development of high-performance energy-dissipation components has become critical for enhancing structural safety and mitigating earthquake-induced damage. Traditional buckling restrained braces (BRBs) are typically designed to remain elastic under frequent earthquakes, limiting their ability to dissipate early seismic energy input. To address this limitation, a novel friction-damped double-stage yield buckling restrained brace (FD-DYBRB) is proposed by integrating friction dampers (FDs) with a conventional BRB. The mechanical performance of both the traditional BRB and the proposed FD-DYBRB was investigated through cyclic loading tests. Additionally, to evaluate the performance differences among various configurations, a cross-shaped double-stage yield BRB was also tested for comparison. The experimental results demonstrate that the proposed FD-DYBRB design is highly effective, exhibiting plump hysteretic curves and distinct double-stage yielding characteristics. Specifically, the FD-DYBRB possesses an initial stiffness ranging from 249.38 kN/mm to 250.31 kN/mm, which is comparable to traditional BRBs. Under small displacements, its equivalent damping ratio increases by approximately 7% for every 50 kN increase in friction force, achieving continuous early-stage energy dissipation. Furthermore, the proposed brace realizes full-process energy dissipation by maintaining stable average tensile and compressive capacities of 87.08 kN and 84.50 kN, respectively, even after the core plate fractures. Compared to the traditional BRB, the maximum dissipated energy of the FD-DYBRB increases by 23.55% to 54.75%, and its maximum equivalent damping ratio exceeds that of the cross-shaped DYBRB by 5%. These findings offer a reliable technical solution for improving the seismic performance of high-rise and long-span buildings, ultimately helping to mitigate structural damage and protect life and property during seismic events. Full article
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21 pages, 7758 KB  
Article
Comparative Selection of Staggered Jacking Schemes for a Large-Span Double-Layer Space Frame: A Case Study of the Han Culture Museum Grand Hall
by Xiangwei Zhang, Zheng Yang, Jianbo Ren, Yanchao Yue, Yuanyuan Dong, Jiaguo Zhang, Haibin Guan, Chenlu Liu, Li Cui and Jianjun Ma
Buildings 2026, 16(4), 791; https://doi.org/10.3390/buildings16040791 - 14 Feb 2026
Viewed by 417
Abstract
Focusing on the construction of a 58-m-diameter double-layer steel space frame dome at the Han Culture Museum Assembly Hall, this study addresses scheme selection and safety control challenges in staggered jacking of large-span spatial structures. A three-dimensional finite element model in MIDAS Gen [...] Read more.
Focusing on the construction of a 58-m-diameter double-layer steel space frame dome at the Han Culture Museum Assembly Hall, this study addresses scheme selection and safety control challenges in staggered jacking of large-span spatial structures. A three-dimensional finite element model in MIDAS Gen simulated the three-stage jacking process to compare three temporary support layouts. Numerical evaluation metrics included maximum vertical displacements, peak internal forces, the proportion of members undergoing stress state transitions, and spatio-temporal evolution of stress concentrations. Scheme B demonstrated superior performance, reducing peak vertical displacement by 44% under critical conditions, lowering peak stresses, and enabling more uniform internal force redistribution—effectively mitigating tension–compression cycling and buckling risks. Crucially, only nodal displacements and support elevations were monitored in situ using a 3D system based on magnetic prisms and total stations; no strain or force measurements were conducted due to practical constraints during construction. Monitoring data show good agreement with simulated displacements and support elevations under Scheme B, validating the model’s deformation response. However, localized deviations—including a 29 mm deflection discrepancy and elevation errors up to 28 mm—reveal the influence of uneven boundary conditions, with potential implications for long-term structural behavior. The findings confirm that numerical predictions of deformation are reliable, while internal forces remain unvalidated by field data. The integrated approach of “scheme comparison–construction simulation–full-process displacement monitoring” proves effective for safety control and decision-making in complex jacking operations, offering a transferable framework for similar large-span double-layer space frame projects. Full article
(This article belongs to the Section Building Structures)
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16 pages, 4700 KB  
Article
Durability of Wearable Buckle and Snap Magnetic Connectors—Impact of Mating/Unmating Cycles, Mating Force, and Interconnect Methods
by Prateeti Ugale, Shourya Lingampally, James Dieffenderfer and Minyoung Suh
Textiles 2026, 6(1), 17; https://doi.org/10.3390/textiles6010017 - 6 Feb 2026
Viewed by 1933
Abstract
The advent of wearable electronic textiles (e-textiles) is transforming human–computer interaction by enabling seamless, comfortable, and continuous connectivity between users and digital systems. Although the wearable e-textile market is poised for significant growth, there is a need for durable, reliable connectors to link [...] Read more.
The advent of wearable electronic textiles (e-textiles) is transforming human–computer interaction by enabling seamless, comfortable, and continuous connectivity between users and digital systems. Although the wearable e-textile market is poised for significant growth, there is a need for durable, reliable connectors to link e-textiles to digital systems. This study presents and evaluates two novel magnetic connectors—buckle and snap—integrated into textile substrates using conductive epoxy, conductive stitches, and solder as interconnect methods. Durability testing involved 5000 mating/unmating cycles at low, medium, and high forces, with electrical performance assessed through resistance and impedance measurements. Results showed significant increases in resistance and impedance with 1000-cycle intervals. However, both connectors retained robust electrical and mechanical integrity, with all resistance values remaining below 1.6 Ω, indicating no critical degradation. Buckle connectors consistently outperformed snap connectors, which is attributed to their design that reduces mechanical stress on interconnects. Conductive epoxy demonstrated superior stability and slower degradation compared to conductive stitches and solder, particularly under higher mating forces. Impedance results mirrored resistance trends, confirming reliability. These findings advance durable, user-friendly connectors for long-term e-textile use, addressing both mechanical endurance and electrical performance to enhance wearable computing and interactive environments. Full article
(This article belongs to the Special Issue Advances in Smart Textiles)
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25 pages, 3497 KB  
Article
Effect of Functionally Graded Material on the Dynamic Stability of Three-Layered Annular Plates
by Dorota Pawlus
Materials 2026, 19(2), 256; https://doi.org/10.3390/ma19020256 - 8 Jan 2026
Viewed by 495
Abstract
This study considers the dynamic stability of a three-layered annular plate, whose facings are made of functionally graded material in the radial direction. The plate is subjected to linearly increasing in-plane forces applied at either the inner or outer edge. The effect of [...] Read more.
This study considers the dynamic stability of a three-layered annular plate, whose facings are made of functionally graded material in the radial direction. The plate is subjected to linearly increasing in-plane forces applied at either the inner or outer edge. The effect of the heterogeneity of the plate-facing material on the dynamic response is analyzed in detail. The main parameters defining the stability state—such as critical dynamic load, critical time, maximum deflection, and buckling mode—are specifically evaluated. The problem is analyzed using two approximation methods: the finite difference method and the finite element method. Numerical calculations were carried out using two approaches: the author’s program following analytical calculations, and the ABAQUS system. The results show the importance of modeling the plate with an appropriate material function describing the radial gradation, which significantly affects the plate’s dynamic stability response and critical parameters. Full article
(This article belongs to the Section Materials Simulation and Design)
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25 pages, 4569 KB  
Article
On Numerical and Analytical Investigation of the Effectiveness of Strengthening of Steel Columns—Case Study
by Jacek Szafran, Paulina Świątkiewicz and Paulina Kaszubska
Materials 2025, 18(24), 5667; https://doi.org/10.3390/ma18245667 - 17 Dec 2025
Viewed by 538
Abstract
In the context of growing environmental consciousness, the contemporary construction industry is placing significant emphasis on prolonging the functional lifespan of existing infrastructure. In the event of a modification in the utilisation of a building, an augmentation in the loads transferred to individual [...] Read more.
In the context of growing environmental consciousness, the contemporary construction industry is placing significant emphasis on prolonging the functional lifespan of existing infrastructure. In the event of a modification in the utilisation of a building, an augmentation in the loads transferred to individual elements, or a deterioration in the condition of the structure due to wear and tear, it is often necessary to implement measures for structural reinforcement. The present paper sets out an analysis of the effectiveness of strengthening a steel column manufactured from SHS120×120×5. It was posited that four distinct reinforcement variants could be achieved by the implementation of additional stiffening elements through the process of welding. The efficiency analysis was conducted employing two distinct methodologies. The geometrical imperfection method is employed using the IDEAStatiCa Member 25.0.4 software, whilst the analytical method is implemented through the use of guidelines presented in the literature. It was demonstrated that all of the proposed solutions were capable of meeting the required column capacity when the loads were increased. A comparison was made between the values of the critical forces and the members’ stresses, determined by the selected methods. A substantial discrepancy was identified between the critical force values derived from linear buckling analysis and those calculated using elastic Euler theory. The following discourse herein delineates the primary advantages and limitations of the two aforementioned methods. Full article
(This article belongs to the Section Construction and Building Materials)
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19 pages, 4402 KB  
Article
Fluid-Induced Vibration and Buckling of Pipes on Elastic Foundations: A Physics-Informed Neural Networks Approach
by Desejo Filipeson Sozinando, Bernard Xavier Tchomeni and Alfayo Anyika Alugongo
Appl. Sci. 2025, 15(22), 11906; https://doi.org/10.3390/app152211906 - 9 Nov 2025
Viewed by 1715
Abstract
This study presents an analysis of transverse vibration behavior of a fluid-conveying pipe mounted on an elastic foundation, incorporating both classical analytical techniques and modern physics-informed neural network (PINN) methodologies. A partial differential equation (PDE) architecture is developed to approximate the solution by [...] Read more.
This study presents an analysis of transverse vibration behavior of a fluid-conveying pipe mounted on an elastic foundation, incorporating both classical analytical techniques and modern physics-informed neural network (PINN) methodologies. A partial differential equation (PDE) architecture is developed to approximate the solution by embedding the physics PDE, initial, and boundary conditions directly into the loss function of a deep neural network. A one-dimensional fourth-order PDE is employed to model governing transverse displacement derived from Euler–Bernoulli beam theory, with additional terms representing fluid inertia, flow-induced excitation, and stochastic force modelled as Gaussian white noise. The governing PDE is decomposed via separation of variables into spatial and temporal components, and modal analysis is employed to determine the natural frequencies and mode shapes under free–free boundary conditions. The influence of varying flow velocities and excitation frequencies on critical buckling behavior and mode shape deformation is analyzed. The network is trained using the Resilient Backpropagation (RProp) optimizer. A preliminary validation study is presented in which a baseline PINN is benchmarked against analytical modal solutions for a fluid-conveying pipe on an elastic foundation under deterministic excitation. The results demonstrate the capability of PINNs to accurately capture complex vibrational phenomena, offering a robust framework for data-driven modelling of fluid–structure interactions in engineering applications. Full article
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21 pages, 7776 KB  
Article
Identification of Critical and Post-Critical States of a Drill String Under Dynamic Conditions During the Deepening of Directional Wells
by Mikhail Dvoynikov and Pavel Kutuzov
Eng 2025, 6(11), 306; https://doi.org/10.3390/eng6110306 - 3 Nov 2025
Cited by 1 | Viewed by 1435
Abstract
When drilling inclined and horizontal sections, a significant part of the drill string is in a compressed state which leads to a loss of stability and longitudinal bending. Modeling of the stress–strain state (SSS) of the drill string (DS), including prediction of its [...] Read more.
When drilling inclined and horizontal sections, a significant part of the drill string is in a compressed state which leads to a loss of stability and longitudinal bending. Modeling of the stress–strain state (SSS) of the drill string (DS), including prediction of its stability loss, is carried out using modern software packages; the basis of the software’s mathematical apparatus and algorithms is represented by deterministic statically defined formulae and equations. At the same time, a number of factors such as the friction of the drill string against the borehole wall, the presence of tool joints, drill string dynamic operating conditions, and the uncertainty of the position of the borehole in space cast doubt on the accuracy of the calculations and the reliability of the predictive models. This paper attempts to refine the actual behavior of the drill string in critical and post-critical conditions. To study the influence of dynamic conditions in the well on changes in the SSS of the DS due to its buckling, the following initial data were used: a drill pipe with an outer diameter of 88.9 mm and tool joints causing pipe deflection under gravitational acceleration of 9.81 m/s2 placed in a horizontal wellbore with a diameter of 152.4 mm; axial vibrations with an amplitude of variable force of 15–80 kN and a frequency of 1–35 Hz; lateral vibrations with an amplitude of variable impact of 0.5–1.5 g and a frequency of 1–35 Hz; and an increasing axial load of up to 500 kN. A series of experiments are conducted with or without friction of the drill string against the wellbore walls. The results of computational experiments indicate a stabilizing effect of friction forces. It should be noted that the distance between tool joints and their diametrical ratio to the borehole, taking into account gravitational acceleration, has a stabilizing effect due to the formation of additional contact force and bending stresses. It was established that drill string vibrations may either provide a stabilizing effect or lead to a loss of stability, depending on the combination of their frequency and vibration type, as well as the amplitude of variable loading. In the experiments without friction, the range of critical loads under vibration varied from 85 to >500 kN, compared to 268 kN as obtained in the reference experiment without vibrations. In the presence of friction, the range was 150 to >500 kN, while in the reference experiment without vibrations, no buckling was observed. Based on the results of this study, it is proposed to monitor the deformation rate of the string during loading as a criterion for identifying buckling in the DS stress–strain state monitoring system. Full article
(This article belongs to the Section Chemical, Civil and Environmental Engineering)
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23 pages, 4352 KB  
Article
Quantifying Inter-Ply Friction and Clamping Effects via an Experimental–Numerical Framework: Advancing Non-Coherent Deformation Control of Uncured Metal–Fiber-Reinforced Polymer Laminates
by Yunlong Chen and Shichen Liu
Polymers 2025, 17(17), 2330; https://doi.org/10.3390/polym17172330 - 28 Aug 2025
Viewed by 4312
Abstract
Pre-stacked uncured metal–fiber-reinforced polymer (FRP) laminates, which are critical for aerospace components like double-curved fuselage panels, wing ribs, and engine nacelles, exhibit better deformation behavior than their fully cured counterparts. However, accurate process simulation requires precise material characterization and process optimization to achieve [...] Read more.
Pre-stacked uncured metal–fiber-reinforced polymer (FRP) laminates, which are critical for aerospace components like double-curved fuselage panels, wing ribs, and engine nacelles, exhibit better deformation behavior than their fully cured counterparts. However, accurate process simulation requires precise material characterization and process optimization to achieve a defect-free structural design. This study focuses on two core material behaviors of uncured laminates—inter-ply friction at metal–prepreg interfaces and out-of-plane bending—and optimizes process parameters for their non-coherent deformation. Experimental tests included double-lap sliding tests (to quantify inter-ply friction) and clamped-beam bending tests (to characterize out-of-plane bending); a double-curved dome part was designed to assess the effects of the material constituent, fiber orientation, inter-ply friction, and clamping force, with validation via finite element modeling (FEM) in Abaqus software. The results indicate that the static–kinetic friction model effectively predicts inter-ply friction behavior, with numerical friction coefficient–displacement trends closely matching experimental data. Additionally, the flexural bending model showed that greater plastic deformation in metal layers increased bending force while reducing post-unloading spring-back depth. Furthermore, for non-coherent deformation, higher clamping forces improve FRP prepreg deformation and mitigate buckling, but excessive plastic deformation raises metal cracking risk. This work helps establish a combined experimental–numerical framework for the defect prediction and process optimization of complex lightweight components, which address the core needs of modern aerospace manufacturing. Full article
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23 pages, 14486 KB  
Article
Dynamic Optimization of Buckling Problems for Panel Structures with Stiffening Characteristics
by Yuguang Bai, Xiangmian He, Qi Deng and Dan Zhao
Appl. Sci. 2025, 15(15), 8227; https://doi.org/10.3390/app15158227 - 24 Jul 2025
Viewed by 1054
Abstract
Many kinds of panel structures are proposed in aircraft design. This study presents a topology optimization method to improve the buckling resistance of panel structures. It should be noted that a popular configuration of the present panel structure is that with ribs and [...] Read more.
Many kinds of panel structures are proposed in aircraft design. This study presents a topology optimization method to improve the buckling resistance of panel structures. It should be noted that a popular configuration of the present panel structure is that with ribs and frames. Stiffening characteristics (i.e., effects of increasing structural stiffness of a panel structure with ribs and frames) are thus included during analysis of panel structures. After studying the coupling relationship between the dynamic characteristics and buckling behavior of the panel, a developed MMC (moving morphable component) method is proposed for topology optimization to improve the buckling resistance of the panel. It is seen that the coupling relationship between the dynamic characteristics and buckling behavior of the panel is mainly reflected when the compression force acts on the panel, corresponding that dynamic characteristics will vary with the load. If the load acts on the structure, the first-order natural frequency of the panel with ribs and frames in this study decreases with the increase in the load, with the optimization objective of maximizing the first-order natural frequency. Based on the coupling relationship between dynamic characteristics and buckling behavior, the critical buckling load of the panel increases as the first-order natural frequency increases. The present optimization method can reduce computational complexity without changing the accuracy of the calculation. At the same time, the coupling relationship between dynamic characteristics and buckling behavior is applied in topology optimization, which is of great significance to improve the comprehensive performance of panel structures in the engineering design process. This paper improves the dynamic characteristics and buckling resistance of panels with ribs and frames based on the improved MMC method. The proposed method effectively meets the design requirements of flight vehicle design in complex environments. Full article
(This article belongs to the Section Energy Science and Technology)
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