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Search Results (1,744)

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Keywords = bending deformation

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23 pages, 6161 KB  
Article
Investigation of Screw Layout and Hole Geometry on Cold-Formed Steel Bending Performance Using Finite Element Model and Statistical Methods
by Zeynep Yaman, Mahyar Maali, Ekin Abanoz, Elif Ağcakoca, Mohammad Saber Sadid and Türker Fedai Çavuş
Buildings 2025, 15(17), 3101; https://doi.org/10.3390/buildings15173101 - 29 Aug 2025
Viewed by 238
Abstract
The affordability, ease of manufacturing, and assembly efficiency of cold-formed steel profiles have contributed to their widespread use in structural applications. However, the presence of holes in these profile webs is likely to reduce their mechanical resistance. This study explores the bending behavior [...] Read more.
The affordability, ease of manufacturing, and assembly efficiency of cold-formed steel profiles have contributed to their widespread use in structural applications. However, the presence of holes in these profile webs is likely to reduce their mechanical resistance. This study explores the bending behavior of a built-up box section constructed using lipped and unlipped C-profiles, which are commonly utilized in the construction industry. The investigation focuses on the influence of self-drilling screw layout density and hole distribution within the section. A total of 30 different models were analyzed, considering three primary variables: the spacing of self-drilling screws, hole diameter, and the number of holes. The steel profiles were connected using self-drilling screws with spacing intervals of 100, 200, and 400 mm. Key parameters, such as moment capacity, effects on elastic zones, shear forces on screws, and ductility, were examined in relation to these variables. The findings indicate that reducing screw spacing and increasing the number of holes are crucial design factors for improving joint strength. However, while greater screw spacing enhances ductility, it leads to lower plastic deformation rates. Additionally, optimizing the number of holes in the section proved to be an effective strategy for improving ductility in the analyzed models. Mathematical evaluation confirmed that hole number and screw spacing significantly affect moment capacity and estimation stability, highlighting the need for their joint optimization in structural design. Full article
(This article belongs to the Special Issue Cold-Formed Steel Structures)
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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 206
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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28 pages, 12093 KB  
Article
Static and Free-Boundary Vibration Analysis of Egg-Crate Honeycomb Core Sandwich Panels Using the VAM-Based Equivalent Model
by Ruihao Li, Hui Yuan, Zhenxuan Cai, Zhitong Liu, Yifeng Zhong and Yuxin Tang
Materials 2025, 18(17), 4014; https://doi.org/10.3390/ma18174014 - 27 Aug 2025
Viewed by 147
Abstract
This study proposes a novel egg-crate honeycomb core sandwich panel (SP-EHC) that combines the structural advantages of conventional lattice and grid configurations while mitigating their limitations in stability and mechanical performance. The design employs chamfered intersecting grid walls to create a semi-enclosed honeycomb [...] Read more.
This study proposes a novel egg-crate honeycomb core sandwich panel (SP-EHC) that combines the structural advantages of conventional lattice and grid configurations while mitigating their limitations in stability and mechanical performance. The design employs chamfered intersecting grid walls to create a semi-enclosed honeycomb architecture, enhancing out-of-plane stiffness and buckling resistance and enabling ventilation and drainage. To facilitate efficient and accurate structural analysis, a two-dimensional equivalent plate model (2D-EPM) is developed using the variational asymptotic method (VAM). This model significantly reduces the complexity of three-dimensional elasticity problems while preserving essential microstructural characteristics. A Reissner–Mindlin-type formulation is derived, enabling local field reconstruction for detailed stress and displacement evaluation. Model validation is conducted through experimental testing and three-dimensional finite element simulations. The 2D-EPM demonstrates high accuracy, with static analysis errors in load–displacement response within 10% and a maximum modal frequency error of 10.23% in dynamic analysis. The buckling and bending analyses, with or without initial deformation, show strong agreement with the 3D-FEM results, with deviations in the critical buckling load not exceeding 5.23%. Local field reconstruction achieves stress and displacement prediction errors below 2.7%, confirming the model’s fidelity at both global and local scales. Overall, the VAM-based 2D-EPM provides a robust and computationally efficient framework for the structural analysis and optimization of advanced sandwich panels. Full article
(This article belongs to the Section Construction and Building Materials)
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18 pages, 3506 KB  
Article
Shear-Compression Failure Condition of Key Strata Under Elastic Support During Periodic Breakage
by Hongjie Liu, Mingxian Peng, Yang Tai and Jun Ding
Appl. Sci. 2025, 15(17), 9297; https://doi.org/10.3390/app15179297 - 24 Aug 2025
Viewed by 307
Abstract
The shear-compression failure of key strata leads to stair-step collapse and severe mine pressure, posing significant safety risks in coal mines. Existing theories fail to account for the boundary conditions and breaking sizes of key strata, making accurate description of shear-compression failure difficult. [...] Read more.
The shear-compression failure of key strata leads to stair-step collapse and severe mine pressure, posing significant safety risks in coal mines. Existing theories fail to account for the boundary conditions and breaking sizes of key strata, making accurate description of shear-compression failure difficult. A periodic breakage mechanics model for key strata was developed using Timoshenko Beam and Winkler Foundation Theory, incorporating transverse shear deformation. The deflection, rotation angle, bending moment, and shear force were calculated, and a shear-compression failure criterion function f(x) was derived. The main conclusions include the following: (1) shear-compression failure is influenced by the thickness–span ratio, cohesion, internal friction angle, and elastic modulus of the key strata, but not by the elastic foundation coefficient and shear modulus; (2) shear-compression failure occurs when the thickness–span ratio reaches 0.4; (3) when the internal friction angle is 25°, 30°, 35°, or 40°, shear-compression failure does not occur if cohesion exceeds 8.0, 7.5, 7.0, or 6.5 MPa, respectively, with a larger internal friction angle corresponding to a smaller critical cohesion; (4) when cohesion is 6 MPa, 8 MPa, 10 MPa, or 12 MPa, shear-compression failure does not occur if the internal friction angle exceeds 44°, 32°, 19°, or 8°, respectively, with larger cohesion correlating to a smaller critical internal friction angle; and (5) once cohesion or internal friction angle surpasses a critical value, the failure criterion approaches a constant value, preventing failure; the elastic modulus has a greater effect on shear-compression failure than the shear modulus, with higher elastic modulus increasing the likelihood of failure. Full article
(This article belongs to the Special Issue Novel Research on Rock Mechanics and Geotechnical Engineering)
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28 pages, 44995 KB  
Article
Constitutive Modeling of Coal Gangue Concrete with Integrated Global–Local Explainable AI and Finite Element Validation
by Xuehong Dong, Guanghong Xiong, Xiao Guan and Chenghua Zhang
Buildings 2025, 15(17), 3007; https://doi.org/10.3390/buildings15173007 - 24 Aug 2025
Viewed by 345
Abstract
Coal gangue concrete (CGC), a recycled cementitious material derived from industrial solid waste, presents both opportunities and challenges for structural applications due to its heterogeneous composition and variable mechanical behavior. This study develops an ensemble learning framework—incorporating XGBoost, LightGBM, and CatBoost—to predict four [...] Read more.
Coal gangue concrete (CGC), a recycled cementitious material derived from industrial solid waste, presents both opportunities and challenges for structural applications due to its heterogeneous composition and variable mechanical behavior. This study develops an ensemble learning framework—incorporating XGBoost, LightGBM, and CatBoost—to predict four key constitutive parameters based on experimental data. The predicted parameters are subsequently incorporated into an ABAQUS finite element model to simulate the compressive–bending response of CGC columns, with simulation results aligning well with experimental observations in terms of failure mode, load development, and deformation characteristics. To enhance model interpretability, a hybrid approach is adopted, combining permutation-based global feature importance analysis with SHAP (SHapley Additive exPlanations)-derived local explanations. This joint framework captures both the overall influence of each feature and its context-dependent effects, revealing a three-stage stiffness evolution pattern—brittle, quasi-ductile, and re-brittle—governed by gangue replacement levels and consistent with micromechanical mechanisms and numerical responses. Coupled feature interactions, such as between gangue content and crush index, are shown to exacerbate stiffness loss through interfacial weakening and pore development. This integrated approach delivers both predictive accuracy and mechanistic transparency, providing a reference for developing physically interpretable, data-driven constitutive models and offering guidance for tailoring CGC toward ductile, energy-absorbing structural materials in seismic and sustainability-focused engineering. Full article
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12 pages, 5061 KB  
Article
A Programmable Soft Electrothermal Actuator Based on a Functionally Graded Structure for Multiple Deformations
by Fan Bu, Feng Zhu, Zhengyan Zhang and Hanbin Xiao
Polymers 2025, 17(17), 2288; https://doi.org/10.3390/polym17172288 - 24 Aug 2025
Viewed by 424
Abstract
Soft electrothermal actuators have attracted increasing attention in soft robotics and wearable systems due to their simple structure, low driving voltage, and ease of integration. However, traditional designs based on homogeneous or layered composites often suffer from interfacial failure and limited deformation modes, [...] Read more.
Soft electrothermal actuators have attracted increasing attention in soft robotics and wearable systems due to their simple structure, low driving voltage, and ease of integration. However, traditional designs based on homogeneous or layered composites often suffer from interfacial failure and limited deformation modes, restricting their long-term stability and actuation versatility. In this study, we present a programmable soft electrothermal actuator based on a functionally graded structure composed of polydimethylsiloxane (PDMS)/multiwalled carbon nanotube (MWCNTs) composite material and an embedded EGaIn conductive circuit. Rheological and mechanical characterization confirms the enhancement of viscosity, modulus, and tensile strength with increasing MWCNTs content, confirming that the gradient structure improves mechanical performance. The device shows excellent actuation performance (bending angle up to 117°), fast response (8 s), and durability (100 cycles). The actuator achieves L-shaped, U-shaped, and V-shaped bending deformations through circuit pattern design, demonstrating precise programmability and reconfigurability. This work provides a new strategy for realizing programmable, multimodal deformation in soft systems and offers promising applications in adaptive robotics, smart devices, and human–machine interfaces. Full article
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18 pages, 6259 KB  
Article
Wind-Induced Bending Characteristics of Crop Leaves and Their Potential Applications in Air-Assisted Spray Optimization
by Zhouming Gao, Jing Ma, Wei Hu, Kaiyuan Wang, Kuan Liu, Jian Chen, Tao Wang, Xiaoya Dong and Baijing Qiu
Horticulturae 2025, 11(9), 1002; https://doi.org/10.3390/horticulturae11091002 - 23 Aug 2025
Viewed by 271
Abstract
Crop leaves naturally exhibit a curved morphology and primarily display bending deformation and vibrational responses under wind load. The curved surface structure of leaves plays a critical role in the deposition and retention of pesticide droplets. In this study, wind tunnel experiments combined [...] Read more.
Crop leaves naturally exhibit a curved morphology and primarily display bending deformation and vibrational responses under wind load. The curved surface structure of leaves plays a critical role in the deposition and retention of pesticide droplets. In this study, wind tunnel experiments combined with high-speed photography and digital image analysis were conducted to systematically investigate the curvature and flexibility distributions of three typical crop leaves: walnut, peach, and pepper, across a range of wind speeds. The results indicate that with increasing wind speed, all three types of leaves gradually transition from smooth, uniform bending to a multi-peak pattern of pronounced local curvature, with increasingly prominent nonlinear deformation characteristics. Moreover, once the wind speed exceeds the critical threshold of 6 m/s, the primary deformation region generally shifts from the leaf base to the tip. For example, the maximum curvature of walnut leaves increased from 0.018 mm−1 to 0.047 mm−1, and that of pepper leaves from 0.031 mm−1 to 0.101 mm−1, both more than double their original values. In addition, all three types of leaves demonstrated a distinct structural gradient characterized by strong basal rigidity and high apical flexibility. The tip flexibility values exceeded 1.5 × 10−5, 4 × 10−4, and 5.6 × 10−4 mm−2·mN−1 for walnut, peach, and pepper leaves, respectively. These findings elucidate the mechanical response mechanisms of non-uniform flexible crop leaves under wind-induced bending and provide a theoretical basis and data support for the optimization of air-assisted spraying parameters. Full article
(This article belongs to the Special Issue New Technologies Applied in Horticultural Crop Protection)
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14 pages, 3359 KB  
Article
Effects of Boron Addition on Microstructure and Mechanical Properties of B4C/Al Composites Fabricated by Pressureless Infiltration
by Yao Liu, Jianle Xie, Hao Peng, Chunli Liu, Donglin Ma and Yongxiang Leng
Metals 2025, 15(8), 919; https://doi.org/10.3390/met15080919 - 19 Aug 2025
Viewed by 297
Abstract
Boron (B) is widely used as a neutron-absorbing nuclide and has significant applications in the nuclear industry. B4C/Al composites combine the high hardness of B4C with the ductility of Al, making them commonly used neutron-absorbing materials. Under current preparation [...] Read more.
Boron (B) is widely used as a neutron-absorbing nuclide and has significant applications in the nuclear industry. B4C/Al composites combine the high hardness of B4C with the ductility of Al, making them commonly used neutron-absorbing materials. Under current preparation methods, the poor wettability and low reactivity of B4C with molten Al limit its effective incorporation into the matrix, and the addition of B4C in B4C/Al composites has reached its threshold limit, making it difficult to achieve breakthrough improvements in neutron absorption performance. However, incorporating additional B elements into the B4C/Al composite can break this limit, effectively enhancing the material’s neutron absorption performance. Nevertheless, research on the impact of this addition on the mechanical properties of the composite remains unclear. The requirements for B4C/Al composites as spent fuel storage and transportation devices include high mechanical strength and certain machinability. This study fabricated B4C/Al composites with varying B contents (5 wt.%, 10 wt.%, and 15 wt.%), and the influence of B addition on the microstructure and mechanical properties of B4C/Al composites was investigated. The results demonstrate that the composites exhibit a density of approximately 99% with well-established interfacial bonds. Increasing B content leads to a higher quantity of interfacial reaction products Al3BC and AlB2, enhancing the Vickers hardness to 370.93 HV. The bending strength and fracture toughness of composites with 5 wt.% and 15 wt.% B addition decreased, whereas those with 10 wt.% B exhibited excellent resistance to crack growth and high-temperature plastic deformation due to a high content of ductile phase. Full article
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17 pages, 4515 KB  
Article
Longitudinal Bending Mechanical Performance of Double-O-Tube (DOT) Shield Tunnel
by Senyong Wang, Lehua Peng, Yuan Zhang and Rongzhu Liang
Buildings 2025, 15(16), 2934; https://doi.org/10.3390/buildings15162934 - 19 Aug 2025
Viewed by 218
Abstract
The longitudinal equivalent bending stiffness is a critical parameter for assessing the longitudinal responses of Double-O-Tube (DOT) shield tunnels under adjacent construction activities. Based on a longitudinal equivalent continuous model and the characteristics of the DOT shield tunnel cross-section, an analytical solution for [...] Read more.
The longitudinal equivalent bending stiffness is a critical parameter for assessing the longitudinal responses of Double-O-Tube (DOT) shield tunnels under adjacent construction activities. Based on a longitudinal equivalent continuous model and the characteristics of the DOT shield tunnel cross-section, an analytical solution for the longitudinal equivalent bending stiffness (LEBS) of the DOT shield tunnel has been derived. Given that the cross-section of the DOT shield tunnel is an irregular structure, two scenarios are considered: one in which the neutral axis is located at the waist of the tunnel and another where it is situated at the lower arch. Using the structural design of the DOT shield tunnel for Shanghai Metro Line M8 as a case study, the effects of bolt number, segment thickness, segment width, and pillar height on the longitudinal equivalent bending stiffness have been investigated. Additionally, formulas for calculating the deformation and stress indices of the DOT shield tunnel have been established. The results indicate that increasing the number of bolts and widening the segments can enhance the longitudinal equivalent bending stiffness efficiency (LEBSE), resulting in an upward shift of the neutral axis. Conversely, as the segment thickness increases, the LEBSE decreases linearly while the neutral axis moves downward; however, the value of LEBS itself increases. With an increase in the pillar height angle, the neutral axis shifts upward, leading to an increase in the LEBS. When the pillar height angle is increased from 10° to 45°, the LEBSE decreases rapidly, followed by a gradual increase with further elevation in the pillar height angle. When the tunnel curvature radius exceeds 15,000 m, the bolts, segments, and joint openings remain in a safe state. However, when the curvature radius decreases to 5233 m, the maximum tensile stress on the bolts reaches their yield limit, and the joint openings exceed the warning threshold. Full article
(This article belongs to the Special Issue Soil–Structure Interactions for Civil Infrastructure)
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16 pages, 3542 KB  
Article
Design and Numerical Analysis of a Combined Pile–Raft Foundation for a High-Rise in a Sensitive Urban Environment
by Steffen Leppla, Arnoldas Norkus, Martynas Karbočius and Viktor Gribniak
Buildings 2025, 15(16), 2933; https://doi.org/10.3390/buildings15162933 - 19 Aug 2025
Viewed by 487
Abstract
Designing deep foundations in densely urbanized areas presents significant challenges due to complex soil conditions, high groundwater levels, and the proximity of sensitive infrastructure. This study addresses these challenges through the development and numerical analysis of a combined pile–raft foundation (CPRF) system for [...] Read more.
Designing deep foundations in densely urbanized areas presents significant challenges due to complex soil conditions, high groundwater levels, and the proximity of sensitive infrastructure. This study addresses these challenges through the development and numerical analysis of a combined pile–raft foundation (CPRF) system for a 75 m tall hotel tower in Frankfurt am Main, Germany. The construction site is characterized by heterogeneous soil layers and is located adjacent to a historic quay wall and bridge abutments, necessitating strict deformation control and robust structural performance. A comprehensive three-dimensional finite element model was developed using PLAXIS 3D to simulate staged construction and soil–structure interaction (SSI). The CPRF system comprises a 2 m thick triangular raft and 34 large-diameter bored piles (1.5 m in diameter, 40–45 m in length), designed to achieve a load-sharing ratio of 0.89. The raft contributes significantly to the overall bearing capacity, reducing bending moments and settlement. The predicted settlement of the high-rise structure remains within 45 mm, while displacement of adjacent heritage structures does not exceed critical thresholds (≤30 mm), ensuring compliance with serviceability criteria. The study provides validated stiffness parameters for superstructure design and demonstrates the effectiveness of CPRF systems in mitigating geotechnical risks in historically sensitive urban environments. By integrating advanced numerical modeling with staged construction simulation and heritage preservation criteria, the research contributes to the evolving practice of performance-based foundation design. The findings support the broader applicability of CPRFs in infrastructure-dense settings and offer a methodological framework for future projects involving complex SSI and cultural heritage constraints. Full article
(This article belongs to the Section Construction Management, and Computers & Digitization)
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7 pages, 1684 KB  
Proceeding Paper
Investigation on Transverse Loading of Auxetic Beams Using Finite Element Methods
by Navneeth Sanjeev and M. P. Hariprasad
Eng. Proc. 2025, 93(1), 24; https://doi.org/10.3390/engproc2025093024 - 15 Aug 2025
Viewed by 272
Abstract
Structures that possess negative Poisson’s ratio are termed “Auxetic” structures. They elongate laterally on longitudinal–tensile loading and compress laterally on longitudinal–compressive loading. Auxetic structures are a composition of unit cells that are available in various geometries, which include triangular, hexa-triangular, re-entrant, chiral, star, [...] Read more.
Structures that possess negative Poisson’s ratio are termed “Auxetic” structures. They elongate laterally on longitudinal–tensile loading and compress laterally on longitudinal–compressive loading. Auxetic structures are a composition of unit cells that are available in various geometries, which include triangular, hexa-triangular, re-entrant, chiral, star, arrowhead, etc. Due to their unique shape, these structures possess remarkably good mechanical properties such as shear resistance, indentation resistance, fracture resistance, synclastic behavior, energy absorption capacity, etc. However, they have poor load-bearing capacity. To improve the load bearing strength of these structures, this paper presents a numerical analysis of oriented re-entrant structured (ORS) beams with auxetic clusters aligned at various angles (0°, 45° and 90°), using Finite Element Methods. Oriented re-entrant unit cell clusters enclosed by a bounded frame were modeled and a three-point bending test was conducted to perform a comparison study on deformation mechanisms of the different oriented re-entrant honeycomb structures with honeycomb beams. The computational analysis of ORS beams revealed that the directional deformation and normal strain along the x-axis were the lowest in ORS45, followed by ORS90, ORS0, and honeycomb. Among all the beams, ORS45 displayed the best load-bearing capacity with comparably low mass density. Full article
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21 pages, 3166 KB  
Article
Structure/Aerodynamic Nonlinear Dynamic Simulation Analysis of Long, Flexible Blade of Wind Turbine
by Xiangqian Zhu, Siming Yang, Zhiqiang Yang, Chang Cai, Lei Zhang, Qing’an Li and Jin-Hwan Choi
Energies 2025, 18(16), 4362; https://doi.org/10.3390/en18164362 - 15 Aug 2025
Viewed by 360
Abstract
To meet the requirements of geometric nonlinear modeling and bending–torsion coupling analysis of long, flexible offshore blades, this paper develops a high-precision engineering simplified model based on the Absolute Nodal Coordinate Formulation (ANCF). The model considers nonlinear variations in linear density, stiffness, and [...] Read more.
To meet the requirements of geometric nonlinear modeling and bending–torsion coupling analysis of long, flexible offshore blades, this paper develops a high-precision engineering simplified model based on the Absolute Nodal Coordinate Formulation (ANCF). The model considers nonlinear variations in linear density, stiffness, and aerodynamic center along the blade span and enables efficient computation of 3D nonlinear deformation using 1D beam elements. Material and structural function equations are established based on actual 2D airfoil sections, and the chord vector is obtained from leading and trailing edge coordinates to calculate the angle of attack and aerodynamic loads. Torsional stiffness data defined at the shear center is corrected to the mass center using the axis shift theorem, ensuring a unified principal axis model. The proposed model is employed to simulate the dynamic behavior of wind turbine blades under both shutdown and operating conditions, and the results are compared to those obtained from the commercial software Bladed. Under shutdown conditions, the blade tip deformation error in the y-direction remains within 5% when subjected only to gravity, and within 8% when wind loads are applied perpendicular to the rotor plane. Under operating conditions, although simplified aerodynamic calculations, structural nonlinearity, and material property deviations introduce greater discrepancies, the x-direction deformation error remains within 15% across different wind speeds. These results confirm that the model maintains reasonable accuracy in capturing blade deformation characteristics and can provide useful support for early-stage dynamic analysis. Full article
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25 pages, 3250 KB  
Article
A Thermoelastic Plate Model for Shot Peen Forming Metal Panels Based on Effective Torque
by Conor Rowan
J. Manuf. Mater. Process. 2025, 9(8), 280; https://doi.org/10.3390/jmmp9080280 - 15 Aug 2025
Viewed by 351
Abstract
A common technique used in factories to shape metal panels is shot peen forming, where the panel is sprayed with a high-velocity stream of small steel pellets called “shot.” The impacts between the hard steel shot and the softer metal of the panel [...] Read more.
A common technique used in factories to shape metal panels is shot peen forming, where the panel is sprayed with a high-velocity stream of small steel pellets called “shot.” The impacts between the hard steel shot and the softer metal of the panel cause localized plastic deformation, which is used to improve the fatigue properties of the material’s surface. The residual stress distribution imparted by impacts also results in bending, which suggests that a torque is associated with it. In this paper, we model shot peen forming as the application of spatially varying torques to a Kirchhoff plate, opting to use the language of thermoelasticity in order to introduce these torque distributions. First, we derive the governing equations for the thermoelastic thin plate model and show that only a torque-type resultant of the temperature distribution shows up in the bending equation. Next, to calibrate from the shot peen operation, an empirical “effective torque” parameter used in the thermoelastic model, a simple and non-invasive test is devised. This test relies only on measuring the maximum displacement of a uniformly shot peened plate as opposed to characterizing the residual stress distribution. After discussing how to handle the unconventional fully free boundary conditions germane to shot peened plates, we introduce an approach to solving the inverse problem whereby the peening distribution required to obtain a specified plate contour can be obtained. Given that the relation between shot peen distributions and bending displacements at a finite set of points is non-unique, we explore a regularization of the inverse problem which gives rise to shot peen distributions that match the capabilities of equipment in the factory. In order to validate our proposed model, an experiment with quantified uncertainty is designed and carried out which investigates the agreement between the predictions of the calibrated model and real shot peen-forming operations. Full article
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22 pages, 14335 KB  
Article
A Simplified Multi-Linear Spring Model for Cross-Plate Joint in Diaphragm Walls Based on Model Tests
by Ming Yang, Chenxi Tong, Rongxing Wu, Gaoke Wang and Shenglei Tong
Buildings 2025, 15(16), 2890; https://doi.org/10.3390/buildings15162890 - 15 Aug 2025
Viewed by 258
Abstract
Cross-plate joints between panels are commonly used in diaphragm wall construction to ensure structural integrity. However, research on the mechanical behaviour of these joints remains limited, and they are often disregarded in numerical modelling due to their complexity. This paper fabricated two types [...] Read more.
Cross-plate joints between panels are commonly used in diaphragm wall construction to ensure structural integrity. However, research on the mechanical behaviour of these joints remains limited, and they are often disregarded in numerical modelling due to their complexity. This paper fabricated two types of specimens with cross-plate joints, which were subsequently employed in bending and shear tests, respectively. The load–displacement curves and the joint openings were experimentally measured. It was found that the load–displacement curves exhibited approximately four linear stages in the bending tests and two in the shear tests. Based on the test results, a multi-linear spring model was proposed to simplify the mechanical behaviour of the joints, and the stiffness of each linear stage was determined through back-analysis of the tested data. The calculated load–displacement curves ultimately agreed well with those obtained from the tests, with average errors of 3.6% in the bending test and 2.6% in the shear test. The proposed model was then applied to a devised case study, thereby demonstrating its capacity to capture joint opening phenomena and revealing the spatial variability of joint opening within the excavation depth. Compared with conventional 2D and 3D models, the proposed model yields displacement results that better reflect the actual deformation of the diaphragm wall. Furthermore, the precise modelling calculation for joints, which is time-consuming, is also avoided, and the calculation time of the proposed model is only 1.52 times that of the conventional 3D model. Full article
(This article belongs to the Section Building Structures)
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29 pages, 8435 KB  
Article
Study on the Bearing Characteristics of a Novel Inner Support Structure for Deep Foundation Pits Based on Full-Scale Experiments
by Xingui Zhang, Jianhang Liang, Gang Wei, Chengkao Liang, Li’e Yan, Wei Han, Yidan Zhang, Yingzhi Tian and Huai Zhang
Buildings 2025, 15(16), 2887; https://doi.org/10.3390/buildings15162887 - 15 Aug 2025
Viewed by 300
Abstract
Traditional internal support systems for deep foundation pits often suffer from issues such as insufficient stiffness, excessive displacement, and large support areas. To address these problems, the authors developed a novel spatial steel joist internal support system. Based on a large-scale field model [...] Read more.
Traditional internal support systems for deep foundation pits often suffer from issues such as insufficient stiffness, excessive displacement, and large support areas. To address these problems, the authors developed a novel spatial steel joist internal support system. Based on a large-scale field model test, this study investigates the bearing characteristics of the proposed system in deep foundation pits. A stiffness formulation for the novel support system was analytically derived and experimentally validated through a calibrated finite element model. After validation with test results, the effects of different vertical prestressing forces on the structure were analyzed. The results indicate that the proposed system provides significant support in deep foundation pits. The application of both horizontal and vertical prestressing increases the internal forces within the support structure while reducing overall displacement. The numerical predictions of horizontal displacement, bending moment, and the axial force distribution of the main support, as well as their development trends, align well with the model test results. Moreover, increasing the prestressing force of the steel tie rods effectively controls the deformation of the vertical arch support and enhances the stability of the spatial structure. The derived stiffness formula shows a small error compared with the finite element results, demonstrating its high accuracy. Furthermore, the diagonal support increases the stiffness of the lower chord bar support by 28.24%. Full article
(This article belongs to the Section Building Structures)
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