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Keywords = cyclic stress-strain parameters

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29 pages, 43056 KB  
Article
Numerical Simulation Research on Landslide Instability Mechanism Under Periodic Precipitation Conditions
by Ziang Liu, Lianxia Ma, Qihang Liu, Liang Song and Xiaomin Dai
Water 2026, 18(13), 1643; https://doi.org/10.3390/w18131643 - 6 Jul 2026
Abstract
Slope stability has consistently been a critical concern in mountainous road sections, with precipitation being the most significant factor precipitating slope instability. This study aims to elucidate the mechanism of slope instability under precipitation conditions and the extent of the impact of internal [...] Read more.
Slope stability has consistently been a critical concern in mountainous road sections, with precipitation being the most significant factor precipitating slope instability. This study aims to elucidate the mechanism of slope instability under precipitation conditions and the extent of the impact of internal disaster-causing factors. To achieve this objective, a numerical simulation analysis method combining GeoStudio2018R2 and FLAC3D7.0 software was employed to conduct a comprehensive analysis of an unstable slope in Xinjiang. Regarding research methodology, cyclic precipitation and seasonal snowmelt were considered as external influencing factors. Initially, a two-dimensional model was constructed using GeoStudio software to analyze the spatial and temporal variations in pore water pressure and moisture content within the slope, elucidating their dynamic characteristics at different temporal and spatial scales. Subsequently, a three-dimensional numerical model was established using FLAC3D software to conduct a detailed analysis of the stress–strain state of the slope under various conditions, thereby obtaining disaster parameters such as displacement and sliding velocity in different directions. Through further comparison and verification of the overall stability analysis results of the slope obtained from both software packages, it was observed that they exhibited a consistent trend. The research findings indicate that under conditions of high-intensity short-term precipitation, the safety factor of the slope decreases to the lowest level, potentially leading to shallow landslides with smaller displacement but faster sliding velocity. Conversely, seasonal snowmelt and long-term localized precipitation have a more profound impact on the internal structure of the slope, with the sliding zone potentially penetrating into the deep bedrock. Although the occurrence frequency is low, the impact range is extensive. By combining two-dimensional and three-dimensional analyses, a comprehensive assessment of the different disaster-causing factors of the slope was conducted, enhancing the accuracy of the analysis results. The research findings provide a scientific basis and reference value for the formulation of subsequent slope protection and monitoring plans. Full article
(This article belongs to the Special Issue Landslide on Hydrological Response)
21 pages, 7326 KB  
Article
Fatigue Life Evolution of and Surface Magnetic Flux Correlation for ASTM A572 Gr 50 W Steel Shapes Subjected to Pure Bending
by María Gabriela Tarazona-Arellano, Jorge Yesid Torres-Espitia, Juan David Tole-Lozano, Janneth Patricia Gil-Ibáñez, Daniel Felipe Otálora-Bohórquez and Federico Alejandro Núñez-Moreno
Buildings 2026, 16(12), 2407; https://doi.org/10.3390/buildings16122407 - 17 Jun 2026
Viewed by 224
Abstract
Six fatigue tests were performed on W6×15 steel beams fabricated from A572 Grade 50 steel, each 4 m in length and subjected to sinusoidal bending with stress amplitudes ranging from 0.10 Fy to 0.70 Fy at 4 Hz. In five of the six [...] Read more.
Six fatigue tests were performed on W6×15 steel beams fabricated from A572 Grade 50 steel, each 4 m in length and subjected to sinusoidal bending with stress amplitudes ranging from 0.10 Fy to 0.70 Fy at 4 Hz. In five of the six specimens, a Charpy V-notch-type defect was introduced at mid-span on the lower flange to initiate localized damage. Cyclic loading was applied until fatigue failure occurred. Throughout testing, two primary parameters were continuously monitored: (i) strain and (ii) surface magnetic flux density. Analysis of the magnetic flux evolution revealed distinctive signal patterns that emerged as fatigue damage progressed, particularly near the point of failure. These magnetic variations correlate with the accumulation of microstructural damage and enable the estimation of a safe-life prediction for each specimen under cyclic loading. Furthermore, a qualitative relationship between the fractographic features and the corresponding magnetic response was identified. The results demonstrate that monitoring surface magnetic flux provides a reliable early-warning indicator of fatigue damage in full-scale steel members, offering a promising tool for structural health monitoring and public safety in elements of steel infrastructure such as bridges. Full article
(This article belongs to the Section Building Materials, and Repair & Renovation)
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38 pages, 14742 KB  
Article
Static Geotechnical Characterization of Lunar Soil Simulants
by Devansh Joshi, Timothy Newson and Gordon R. Osinski
Aerospace 2026, 13(6), 527; https://doi.org/10.3390/aerospace13060527 - 4 Jun 2026
Viewed by 399
Abstract
Recent technological advances and the reinvigoration of NASA’s Artemis program have increased the feasibility of lunar habitats and supporting infrastructure, necessitating the development of specialized foundation systems capable of maintaining stability under transferred structured loads. Site investigation techniques, including in situ testing, sampling, [...] Read more.
Recent technological advances and the reinvigoration of NASA’s Artemis program have increased the feasibility of lunar habitats and supporting infrastructure, necessitating the development of specialized foundation systems capable of maintaining stability under transferred structured loads. Site investigation techniques, including in situ testing, sampling, and geophysical mapping, must therefore be adapted for lunar conditions, while construction using regolith requires an improved understanding of lunar soil mechanics. Foundations must also endure extreme thermal fluctuations, reduced gravity, radiation exposure, micrometeoroid impacts, and lunar seismicity to ensure long-term performance. Consequently, enhanced knowledge of the monotonic and cyclic geotechnical behavior of lunar soils is essential. Owing to the limited availability of in situ testing opportunities and returned lunar materials, high-fidelity simulants that replicate regolith behavior are required for experimental studies. This research investigates the static behavior of several contemporary lunar simulants and compares their responses with terrestrial benchmark soils. The results indicate that the overall stress–strain trends of lunar simulants broadly resemble those of terrestrial soils; however, the particle morphology and distinctive mineralogical compositions, including basaltic and anorthositic constituents, yield higher values of certain geomechanical parameters. Comparison with terrestrial datasets further suggests that carefully selected benchmark soils may facilitate the development of a next generation of lunar simulants with improved fidelity to lunar regolith. Full article
(This article belongs to the Special Issue Lunar Construction)
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36 pages, 36773 KB  
Article
Cyclic Pure Shear by Biaxial Tensile Loading: Application to Coated Woven Fabrics
by Ahmed Er-Rafik, Guilhem Bles and Ali Tourabi
Textiles 2026, 6(2), 65; https://doi.org/10.3390/textiles6020065 - 25 May 2026
Viewed by 405
Abstract
This paper investigates cyclic pure shear under biaxial tensile loading and finite strain conditions. To interpret the experimental measurements, a set of stress and strain parameters is defined without assuming any specific constitutive model. In addition, a power-conjugate stress–strain rate pair is introduced [...] Read more.
This paper investigates cyclic pure shear under biaxial tensile loading and finite strain conditions. To interpret the experimental measurements, a set of stress and strain parameters is defined without assuming any specific constitutive model. In addition, a power-conjugate stress–strain rate pair is introduced within the finite strain framework, whose tensor contraction gives the internal power per unit mass. The test was applied to characterize the cyclic pure shear behavior of a coated woven polyester fabric commonly used in the maritime industry for sailmaking applications. A cruciform specimen geometry, specifically designed for pure shear testing and including three slits in each arm, is proposed and was validated by full-field strain measurements obtained using stereo digital image correlation (SDIC). During the tests, a non-contact CCD camera target-tracking system was used to measure strain evolution. This system enables monitoring of the distortion angle between warp and weft yarns, as well as strain in the warp, weft, and principal strain directions. The results reveal a new ratcheting phenomenon, characterized by progressive strain accumulation in the warp and weft directions during successive shear cycles, leading to a gradual increase in the specimen’s surface area. Full article
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21 pages, 16077 KB  
Article
Electroplastic Cyclic Deformation of CuZn30 Brass
by Wojciech Weiler, Karol Jaśkiewicz and Zbigniew Zimniak
Materials 2026, 19(10), 2119; https://doi.org/10.3390/ma19102119 - 18 May 2026
Viewed by 252
Abstract
This article presents the results of research on electrically assisted forming (EAF) in the process of cyclic oscillatory torsion of CuZn30 brass. Experiments were conducted using pulsed electric current with varying parameters: pulse durations of 0.5, 2.5, and 5 ms, and pulse intervals [...] Read more.
This article presents the results of research on electrically assisted forming (EAF) in the process of cyclic oscillatory torsion of CuZn30 brass. Experiments were conducted using pulsed electric current with varying parameters: pulse durations of 0.5, 2.5, and 5 ms, and pulse intervals ranging from 0.5 to 30 ms. Reference data for the electrically assisted torsion tests were obtained from conventional tests performed under identical conditions without current flow. A pronounced thermal effect was observed for specific current parameters. To accurately determine the impact of temperature rise on the deformability of CuZn30 brass during cyclic torsion, the authors conducted additional tests at elevated temperatures—corresponding to the average temperatures recorded during the EAF trials—without current application. In all investigated cases, EAF during cyclic oscillatory torsion led to a flow stress reduction ranging from nearly 8% to almost 25% compared to current-free trials. Furthermore, applying current parameters where the pulse interval exceeded the pulse duration resulted in a significant increase in strain to failure, ranging from nearly 25% up to 110% relative to the reference samples. The study also examined isophase current characteristics (where pulse duration equals pulse interval), which yielded results that clearly deviated from other configurations. The application of isophase pulses triggered a different material response, leading to a degradation of deformability by more than 21%. The presented research and findings may contribute to the further development of novel, energy-efficient, and advanced manufacturing processes in metal forming. Full article
(This article belongs to the Section Manufacturing Processes and Systems)
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19 pages, 2645 KB  
Article
A Cyclic Constitutive Model Based on Fractional Derivative for Rate-Dependent Ratcheting of EA4T Axle Steel
by Xuehong Ren, Chenzhuo Qu, Jiujian Wang, Wenjie Zhao, Shaopu Yang and Yongqiang Liu
Fractal Fract. 2026, 10(5), 325; https://doi.org/10.3390/fractalfract10050325 - 11 May 2026
Viewed by 286
Abstract
Within the framework of elastoplastic theory, this study develops and improves a fractional cyclic constitutive model capable of describing rate-dependent ratcheting behavior by defining the ratcheting parameter as a function of the cumulative plastic strain rate and describing the plastic strain rate and [...] Read more.
Within the framework of elastoplastic theory, this study develops and improves a fractional cyclic constitutive model capable of describing rate-dependent ratcheting behavior by defining the ratcheting parameter as a function of the cumulative plastic strain rate and describing the plastic strain rate and back stress in fractional-order forms. Additionally, a brief introduction is provided on the numerical implementation process and parameter determination method of this model. The newly improved fractional-order model was subsequently employed to simulate and predict the cyclic deformation of the cyclically softening material, EA4T axle steel. The following conclusions can be drawn: owing to the incorporation of fractional calculus, the newly improved model can predict both the monotonic tensile curves and the cyclic softening behavior of materials under different strain rates—capabilities that are not achievable with conventional elastic–plastic cyclic constitutive models. By defining the ratcheting parameter as a function of the cumulative plastic strain rate, the improved fractional model can reasonably predict the evolution laws of both uniaxial and non-proportional multiaxial ratcheting. By describing the evolution of plastic strain rate and back stress in fractional-order forms, the newly improved fractional model can provide a relatively accurate prediction of the rate-dependent uniaxial and multiaxial ratcheting behaviors. Full article
(This article belongs to the Special Issue Fractional Modeling and Dynamics Analysis of Complex Systems)
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14 pages, 3957 KB  
Article
Development of a Multi-Channel and Multilayered PDMS Microfluidic Platform for Real-Time Visualization and Multi-Condition Parallel Testing of Mechanically Stimulated Cells
by Shichao Zhu, Mieradilijiang Abudupataer, Zheng Zuo, Yongxin Sun and Ben Huang
Micromachines 2026, 17(5), 568; https://doi.org/10.3390/mi17050568 - 2 May 2026
Viewed by 476
Abstract
We developed a multi-channel and multilayered polydimethylsiloxane (PDMS) microfluidic platform that integrates cyclic mechanical stimulation, independent reagent delivery, and real-time optical observation within a single device. The platform employs a four-layer architecture comprising a pneumatic valve control layer, an observation channel for cell [...] Read more.
We developed a multi-channel and multilayered polydimethylsiloxane (PDMS) microfluidic platform that integrates cyclic mechanical stimulation, independent reagent delivery, and real-time optical observation within a single device. The platform employs a four-layer architecture comprising a pneumatic valve control layer, an observation channel for cell culture and imaging (24 mm × 4 mm), a medium perfusion layer with independent inlet ports, and a vacuum actuation layer that deforms a 200 μm PDMS membrane under −20 kPa cyclic pressure at 1 Hz. Cyclic membrane strain of 10% was calibrated using fluorescent bead tracking and image analysis. Finite element analysis based on nonlinear Föppl–von Kármán plate theory confirmed that the central cell culture region (60% of membrane area) exhibits a mean von Mises strain of 14.2% with a uniformity of 81.3% (CV = 18.7%), validating relatively uniform mechanical stimulation across the culture surface. As a proof-of-concept, human aortic smooth muscle cells (CRL-1999) cultured under cyclic strain showed significant upregulation of HIF-1α expression (2.5-fold, p<0.01) and pronounced F-actin stress fiber alignment visualized by fluorescence microscopy, confirming the platform’s capability for mechanotransduction studies and real-time cellular observation. The multi-channel architecture enables multi-condition parallel testing by simultaneously introducing different reagent concentrations through independent inlet ports while maintaining identical mechanical parameters across all channels, providing a versatile tool for systematic investigation of cellular responses under controlled biomechanical conditions. Full article
(This article belongs to the Section B:Biology and Biomedicine)
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14 pages, 2522 KB  
Data Descriptor
Dataset for Cyclic Nonlinear Numerical Modelling of Corroded Reinforced Concrete Columns and Frames
by Dariniel Barrera-Jiménez, Franco Carpio-Santamaría, Sergio Márquez-Domínguez, Irving Ramírez-González, José Barradas-Hernández, Rolando Salgado-Estrada, Alejandro Vargas-Colorado, José Piña-Flores, Gustavo Delgado-Reyes and Armando Aguilar-Menéndez
Data 2026, 11(5), 94; https://doi.org/10.3390/data11050094 - 25 Apr 2026
Viewed by 543
Abstract
Corrosion of reinforcing steel is a key cause of deterioration in reinforced concrete (RC) structures exposed to coastal environments with chloride presence. The loss of reinforcing steel cross-sectional area, cracking of the concrete cover, and reduction in confinement progressively decrease both strength and [...] Read more.
Corrosion of reinforcing steel is a key cause of deterioration in reinforced concrete (RC) structures exposed to coastal environments with chloride presence. The loss of reinforcing steel cross-sectional area, cracking of the concrete cover, and reduction in confinement progressively decrease both strength and ductility of structural elements. This study provides a reproducible, open-access dataset, compiling input parameters and numerical results of the cyclic behaviour of isolated RC columns and RC frames, specifically addressing their nonlinear cyclic response under moderate corrosion (η < 25%), as well as in the non-corroded (baseline) conditions, generated through conventional nonlinear modelling. In terms of modelling, the methodology applies fibre-section modelling for columns and concentrated plastic hinges for beams. Furthermore, the corrosion effects are incorporated by reducing the steel area and ultimate strain, while also accounting for the decrease in compressive strength of the cracked concrete cover. Therefore, the cyclic response is represented by a Pivot-type hysteretic model. It is worth noting that the dataset provides model input information, such as material stress–strain relationships and backbone curves reflecting corrosion-induced deterioration. It also includes structural outputs, such as force–displacement relationships, and envelopes of quasi-static hysteretic cycles for the analyzed columns and frames. Overall, the dataset facilitates the calibration and validation of numerical models for RC structures affected by corrosion. In conclusion, the contribution enhances the reliability of computational simulations and supports the development of predictive tools for structural performance under degradation scenarios. Full article
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13 pages, 1948 KB  
Proceeding Paper
Analysis and Comparison of Theoretical Estimates of the Material’s Cyclic Curve
by Giovanni Zonfrillo, Michelangelo Santo Gulino and Dario Vangi
Eng. Proc. 2026, 131(1), 31; https://doi.org/10.3390/engproc2026131031 - 15 Apr 2026
Viewed by 222
Abstract
Several formulations found in the literature allow estimation of the cyclic properties of materials based on static tensile test data, particularly for deriving the K′ and n′ parameters of the Ramberg–Osgood equation. This study assessed the consistency between the experimental cyclic [...] Read more.
Several formulations found in the literature allow estimation of the cyclic properties of materials based on static tensile test data, particularly for deriving the K′ and n′ parameters of the Ramberg–Osgood equation. This study assessed the consistency between the experimental cyclic stress–strain curves and those reconstructed using K′ and n′ values obtained by combining the various proposed relationships. The comparison was conducted using a dataset of 338 metallic alloys, predominantly iron-based, with additional aluminum and titanium alloys. As a comparison metric, the dimensionless deviation between the experimental and calculated curves was adopted. Statistical analysis of the results identified three combinations of relationships that yielded satisfactory agreement for 90% of the materials examined. Full article
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15 pages, 7517 KB  
Article
Tensile and Low-Cycle Fatigue Properties of GH1059 Superalloy at RT and 550 °C
by Zhaoxiong Chu, Maowen Fu, Yankun Dou, Wen Yang and Bintao Yu
Metals 2026, 16(4), 416; https://doi.org/10.3390/met16040416 - 10 Apr 2026
Viewed by 481
Abstract
The tensile and low-cycle fatigue properties of a Fe-Ni-based GH1059 superalloy were investigated at room temperature (RT, about 25 °C) in air and at 550 °C in high vacuum. The tensile curve at 550 °C indicated that dynamic strain aging in the material [...] Read more.
The tensile and low-cycle fatigue properties of a Fe-Ni-based GH1059 superalloy were investigated at room temperature (RT, about 25 °C) in air and at 550 °C in high vacuum. The tensile curve at 550 °C indicated that dynamic strain aging in the material at high temperature. The fatigue life and stress-strain behavior were analyzed, and fatigue parameters were obtained. The fatigue life decreased with increasing temperature. The cyclic deformation behaviors were composed of three stages at RT: cyclic hardening, gradual cyclic softening, and final rapid rupture. The cyclic deformation behaviors at 550 °C were different: the second stage of specimen at 0.4% strain amplitude was cyclic hardening and the second stage of specimen at 0.9% strain amplitude was stress saturation. The difference is because of dynamic strain aging at high temperature. Based on the fatigue data, the changes of friction stress were analyzed, and the results reflected microstructural evolution associated with fatigue behavior. The microstructural evolution during fatigue process was observed using a scanning electron microscope and a transmission electron microscope. The changes in dislocation densities accounted for the effects of temperature and strain amplitude on the fatigue behavior of GH1059. Full article
(This article belongs to the Section Metal Failure Analysis)
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27 pages, 5395 KB  
Article
ML-Driven Decision Support for Dynamic Modeling of Calcareous Sands
by Abdalla Y. Almarzooqi, Mohamed G. Arab, Maher Omar and Emran Alotaibi
Mach. Learn. Knowl. Extr. 2026, 8(3), 68; https://doi.org/10.3390/make8030068 - 9 Mar 2026
Viewed by 678
Abstract
Dynamic characterization of calcareous (carbonate) sands is essential for performance-based design of offshore foundations, coastal reclamation, and marine infrastructure in tropical and subtropical regions. In contrast to silica sands, carbonate sediments are biogenic and typically comprise angular, irregular grains with intra-particle voids and [...] Read more.
Dynamic characterization of calcareous (carbonate) sands is essential for performance-based design of offshore foundations, coastal reclamation, and marine infrastructure in tropical and subtropical regions. In contrast to silica sands, carbonate sediments are biogenic and typically comprise angular, irregular grains with intra-particle voids and fragile skeletal microstructure. These traits promote grain crushing and fabric evolution at relatively low-to-moderate confinement, leading to pronounced stress dependency, strong nonlinearity with strain amplitude, and substantial scatter in laboratory stiffness and damping measurements. Consequently, empirical correlations calibrated primarily on quartz sands may yield biased estimates when transferred to carbonate environments. This study presents an ML-driven, leakage-aware benchmarking framework for predicting two key dynamic parameters of biogenic calcareous sands, damping ratio D and shear modulus G, using standard tabular descriptors commonly available in geotechnical practice. Two consolidated experimental databases were curated from resonant column and cyclic triaxial measurements (D: n=890; G: n=966), spanning mean effective confining stress 25  σm1600 kPa and a wide range of density and gradation conditions. To emphasize transferability, explicit deposit/site labels were excluded, and missingness arising from heterogeneous reporting was handled through a consistent preprocessing pipeline (training-only imputation, categorical encoding, and scaling). Eleven regression algorithms were evaluated, covering linear baselines, regularized regression, neighborhood learning, single trees, bagging and boosting ensembles, kernel regression, and a feedforward neural network. Performance was assessed using R2, RMSE, and MAE on training/validation/test splits, and engineering credibility was supported through explainability-based diagnostics to verify mechanically plausible sensitivities. Results show that ensemble-tree models (Extra Trees and Random Forest) provide the most reliable accuracy–robustness balance across both targets, consistently outperforming linear models and the tested SVR configuration and exhibiting stable validation-to-test behavior. The explainability audit confirms physically meaningful separation of governing controls: stiffness is primarily stress-controlled (σm dominant for G), whereas damping is primarily strain-controlled (γ dominant for D). The proposed framework supports practical deployment as a fast surrogate for generating Gγ and Dγ curves within the training domain and for guiding targeted laboratory test planning in carbonate settings. Full article
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11 pages, 5581 KB  
Article
Experimental and Crystal Plasticity Modeling Investigation of Micromechanical Fatigue Behavior of Ti-6Al-4V
by Huanhuan Chen, Wei Li, Zhengming Qian, Dong Mi, Haihui Wu, Yiting Tang, Can Wu, Ziyue Zhang, Tiezheng Tang, Siqi Zhang and Dongfeng Li
Metals 2026, 16(3), 275; https://doi.org/10.3390/met16030275 - 28 Feb 2026
Cited by 1 | Viewed by 640
Abstract
This study presents a predictive method for the fatigue behavior of Ti-6Al-4V based on a crystal plasticity finite element (CPFE) model. A thermally activated constitutive model is calibrated using experimental cyclic stress–strain data. The calibrated model simulates the macroscopic cyclic response and grain-scale [...] Read more.
This study presents a predictive method for the fatigue behavior of Ti-6Al-4V based on a crystal plasticity finite element (CPFE) model. A thermally activated constitutive model is calibrated using experimental cyclic stress–strain data. The calibrated model simulates the macroscopic cyclic response and grain-scale deformation heterogeneity. By analyzing the simulated micromechanical fields, a scalar fatigue indicator parameter (FIP) is defined based on the accumulated inelastic work. The predictive capability of this FIP is validated against experimental data at multiple stress levels, demonstrating its effectiveness for microstructure-sensitive fatigue assessment. Full article
(This article belongs to the Section Computation and Simulation on Metals)
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19 pages, 6663 KB  
Article
The Experimental Determination of Parameters for the Modeling of the Stamping Process of AA6005C Aluminum Alloy
by Luiza Emília Vila Nova Mazzoni, Fernanda Mariano Pereira, Estefani Alves da Silva Calabria, Luca de Paulo Ferreira, Alfredo Rocha de Faria, Tamires de Souza Nossa and Kahl Dick Zilnyk
Alloys 2026, 5(1), 4; https://doi.org/10.3390/alloys5010004 - 15 Feb 2026
Viewed by 854
Abstract
This study provides the first complete and experimentally validated Yoshida–Uemori (Y–U) parameter set for AA6005C aluminum alloy, enabling accurate constitutive modeling for stamping simulations. A comprehensive set of mechanical tests was conducted, comprising uniaxial tensile tests along 0°, 45°, and 90° to the [...] Read more.
This study provides the first complete and experimentally validated Yoshida–Uemori (Y–U) parameter set for AA6005C aluminum alloy, enabling accurate constitutive modeling for stamping simulations. A comprehensive set of mechanical tests was conducted, comprising uniaxial tensile tests along 0°, 45°, and 90° to the rolling direction, hydraulic bulge tests, Nakajima tests for the forming limit curve (FLC), and cyclic tension-compression experiments. Results showed moderate planar anisotropy with R-values of 0.49–0.90, equi-biaxial yield stress around 105 MPa, and plane-strain FLC0 ≈ 0.25, typical for 6xxx-series alloys. The cyclic tests highlighted a strong Bauschinger effect and transient softening, which allowed precise calibration of the Yoshida-Uemori (Y-U) model. The resulting material parameters were validated using a U-bending case study, in which the predicted springback angle differed by only 2°, confirming the transferability of the calibrated model to forming conditions not used during parameter identification. The dataset generated in this work provides a robust foundation for finite element simulations of the AA6005C stamping processes and constitutes a practical reference for industrial implementation. Full article
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23 pages, 8890 KB  
Article
Anand Model and Finite Element Analysis of Sn-0.3Ag-0.7Cu-3Bi Lead-Free Solder Joints in BGA Packages
by Junchen Liu, Abdullah Aziz Saad, Yuezong Zheng, Hongchao Ji and Zuraihana Bachok
Materials 2026, 19(3), 636; https://doi.org/10.3390/ma19030636 - 6 Feb 2026
Viewed by 1197
Abstract
Bi-doped low-silver Sn-Ag-Cu solders are increasingly gaining attention in advanced electronic packaging due to their cost-effectiveness and enhanced mechanical properties. However, the thermo-mechanical reliability mechanisms of such modified solders, particularly Sn-0.3Ag-0.7Cu-3Bi (SAC0307-3Bi) within Ball Grid Array (BGA) assemblies, remain insufficiently understood. To address [...] Read more.
Bi-doped low-silver Sn-Ag-Cu solders are increasingly gaining attention in advanced electronic packaging due to their cost-effectiveness and enhanced mechanical properties. However, the thermo-mechanical reliability mechanisms of such modified solders, particularly Sn-0.3Ag-0.7Cu-3Bi (SAC0307-3Bi) within Ball Grid Array (BGA) assemblies, remain insufficiently understood. To address this gap, this research proposes a comprehensive assessment framework integrating constitutive parameter calibration with finite element analysis (FEA) to accurately characterize the mechanical behavior and fatigue durability of SAC0307-3Bi solder joints under cyclic thermal loads. The Anand viscoplastic parameters were first calibrated via the Norton creep law and virtual tensile tests. Subsequently, a 3D quarter-symmetry model was constructed to replicate thermal cycling conditions between 25 °C and 125 °C. Simulation data reveal a strong correlation between stress concentration and the Distance to Neutral Point (DNP), pinpointing the chip-side interface of the corner joint as the critical failure site. Moreover, creep strain was observed to accrue in a “step-wise” pattern, predominantly during the heating and cooling ramps, reflecting distinct temperature sensitivity. Utilizing the Syed model, the fatigue life was estimated at approximately 2239 cycles. These insights serve as a crucial benchmark for designing robust packages using Bi-doped, low-silver lead-free solders. Full article
(This article belongs to the Special Issue Research on Metal Cutting, Casting, Forming, and Heat Treatment)
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22 pages, 9108 KB  
Article
Research on Application of High-Pressure Cyclic Grouting Technology in Soft Soil Layers
by Xiaolong Pei, Liwei Huang, Ping Fu and Zhanqing Xing
Coatings 2026, 16(2), 194; https://doi.org/10.3390/coatings16020194 - 4 Feb 2026
Viewed by 536
Abstract
Aiming at technical challenges such as the insufficient bearing capacity of orifice formation leading to slurry overflow and non-uniform formation reinforcement in soft soil layer grouting engineering, an external cyclic grouting process through the grouting pipe is innovatively proposed. Distinguished from traditional in-hole [...] Read more.
Aiming at technical challenges such as the insufficient bearing capacity of orifice formation leading to slurry overflow and non-uniform formation reinforcement in soft soil layer grouting engineering, an external cyclic grouting process through the grouting pipe is innovatively proposed. Distinguished from traditional in-hole circulation methods, this process achieves bottom-up cyclic grouting through a slurry return channel outside the grouting hole, which effectively reduces the risk of orifice fracturing and improves grouting uniformity. A grouting pressure loss equation is established to quantitatively analyze the relationships between the allowable grouting pressure and the side wall opening of the grouting pipe, slurry rheological parameters, surface consolidation depth, and surface consolidation strength. It is revealed that slurry with high viscosity and low yield stress is suitable for deep grouting, and a design criterion innovatively proposes that the side wall opening of the grouting hole should dynamically increase with the grouting depth. Based on the strain–pressure curve, a prediction model for the reinforcement radius of compaction grouting is established. Slurry rheological parameters and formation mechanical parameters are obtained through laboratory tests, and field grouting tests are conducted. The reinforcement effect is verified by means of ground-penetrating radar and standard penetration tests. The results show that, compared with traditional grouting processes, this process significantly improves the bearing capacity of the orifice and enhances the uniformity and compactness of formation reinforcement and that the theoretical prediction error of the reinforcement radius is less than 15%. The research results provide the theoretical basis and technical support for soft soil grouting engineering and have important engineering application value. Full article
(This article belongs to the Section Surface Characterization, Deposition and Modification)
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