Mechanics of MaterialsPub Date : 2026-01-01Epub Date: 2025-10-30DOI: 10.1016/j.mechmat.2025.105539
Ben An, Jiaqi Li, Zhenshun Li, Diping Wu, Rui Li
{"title":"Molecular insights of acoustic softening mechanism in ultrasonic vibration-assisted tensile deformation of SiC/Al composites","authors":"Ben An, Jiaqi Li, Zhenshun Li, Diping Wu, Rui Li","doi":"10.1016/j.mechmat.2025.105539","DOIUrl":"10.1016/j.mechmat.2025.105539","url":null,"abstract":"<div><div>Ultrasonic vibration (UV) has been widely utilized in metal forming processes owing to its ability to enhance material formability. However, the microscopic mechanism governing the plastic deformation of SiC/Al composites under UV remains unclear, thereby significantly restricting their implementation in ultra-precision machining applications. To address this gap, a particle-reinforced composite model was developed using the Random Sequential Adsorption (RSA) algorithm, and molecular dynamics simulations were conducted to compare the tensile behavior of SiC/Al composites under UV and non-UV conditions. The effects of SiC volume fraction and particle size on mechanical properties were systematically evaluated and the mechanism of UV-induced acoustic softening was discussed. The results showed that the increase of SiC particle size from 16 Å to 32 Å and the decrease of volume fraction from 13.8 % to 8.3 % diminished both tensile strength and elastic modulus. UV enhanced atomic kinetic energy and grain boundary potential energy, thereby facilitating dislocation annihilation and suppressing dislocation pile-ups, ultimately reducing flow stress. The stress reduction due to acoustic softening was correlated with dislocation evolution dynamics and increases with ultrasonic amplitude. This work sheds light on theoretical framework for optimizing the efficient processing of particle-reinforced SiC/Al composites under UV.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"212 ","pages":"Article 105539"},"PeriodicalIF":4.1,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145418277","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mechanics of MaterialsPub Date : 2026-01-01Epub Date: 2025-10-11DOI: 10.1016/j.mechmat.2025.105523
Zahra Ghasemi , Tiago dos Santos , Debjoy D. Mallick , José A. Rodríguez-Martínez , Ankit Srivastava
{"title":"Delineating strain-rate hardening and inertial effects on dynamic hardness of materials","authors":"Zahra Ghasemi , Tiago dos Santos , Debjoy D. Mallick , José A. Rodríguez-Martínez , Ankit Srivastava","doi":"10.1016/j.mechmat.2025.105523","DOIUrl":"10.1016/j.mechmat.2025.105523","url":null,"abstract":"<div><div>We examine the interplay between strain-rate hardening and structural inertia in dynamic indentation, with the objective of identifying when dynamic hardness reflects intrinsic material response versus when it is influenced by inertia. Finite element simulations and theoretical calculations – based on a dynamic cavity expansion model – are performed for materials described by a strain- and strain-rate-dependent constitutive model with thermal softening. The analysis spans a broad range of indentation velocities, depths, material densities, and strain-rate sensitivity exponents. Our results show that at relatively low to moderate indentation velocities, dynamic hardness can be interpreted as an intrinsic material property. However, at sufficiently high velocities, the indentation response is significantly influenced by inertia-induced resistance, manifested by a rapid increase in hydrostatic stress and, consequently, in dynamic hardness. The extent of this resistance scales with indentation strain rate, indentation depth, and material density. We introduce a normalization approach that, for a given material, accounts for inertia by scaling dynamic hardness and indentation strain rate with reference functions that depend on indentation velocity. This procedure enables the identification of the loading rate at which inertia begins to dominate the indentation response and allows data across a wide range of indentation strain rates and depths to be interpreted in terms of the material’s intrinsic strain-rate-dependent constitutive behavior. The excellent agreement between finite element simulations and theoretical predictions underscores the robustness of the proposed approach and establishes a foundation for extracting strain-rate-sensitive material properties from dynamic indentation experiments.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"212 ","pages":"Article 105523"},"PeriodicalIF":4.1,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145326534","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mechanics of MaterialsPub Date : 2026-01-01Epub Date: 2025-10-14DOI: 10.1016/j.mechmat.2025.105528
Jiaxuan Wang , Rou Du , Liu Chen , Hansong Ma , Xiaoming Liu , Yueguang Wei
{"title":"A physics-based crystal plasticity model of nickel-based single crystal superalloy for different loading conditions under a wide temperature range","authors":"Jiaxuan Wang , Rou Du , Liu Chen , Hansong Ma , Xiaoming Liu , Yueguang Wei","doi":"10.1016/j.mechmat.2025.105528","DOIUrl":"10.1016/j.mechmat.2025.105528","url":null,"abstract":"<div><div>Nickel-based single crystal (NBSC) superalloys are extensively used in the fabrication of turbine blades for aero engines, where their deformation behaviours play a critical role in ensuring flight safety. The deformation behaviours are governed by complex micro-scale mechanisms, such as matrix slip, precipitate shearing, interface dislocation pile-up, dislocation climb, coarsening, and rafting. However, many existing models either inadequately account for the underlying deformation mechanisms or rely heavily on temperature-sensitive material parameters, both of which undermine their predictive accuracy and generalizability under diverse loading and thermal conditions. To address these limitations, this study develops a robust and versatile crystal plasticity model that incorporates the above mechanisms. The model decouples temperature effects from constitutive parameters to mitigate parameter sensitivity to temperature variations. Additionally, a parameter decoupling strategy is employed to reduce the number of adjustable parameters and facilitate their identification. The model is validated against experimental data for the DD6 superalloy under uniaxial tension, creep, and low-cycle fatigue tests conducted across a wide temperature range (20–980 °C). The predicted mechanical responses demonstrate good agreement with the experimental results. Finally, the model is applied to simulate the mechanical behaviour of a specimen with inclined cooling holes. The model gives a nearly linear response of creep displacement, which matches well with the experiments.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"212 ","pages":"Article 105528"},"PeriodicalIF":4.1,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145326537","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mechanics of MaterialsPub Date : 2026-01-01Epub Date: 2025-10-28DOI: 10.1016/j.mechmat.2025.105534
Dror Raf, Itay Magen, Amit Ashkenazi, Lee Jordan, Dana Solav
{"title":"Soft orthotropic hyperelastic lattice structures: Numerical homogenization and experimental validation","authors":"Dror Raf, Itay Magen, Amit Ashkenazi, Lee Jordan, Dana Solav","doi":"10.1016/j.mechmat.2025.105534","DOIUrl":"10.1016/j.mechmat.2025.105534","url":null,"abstract":"<div><div>Lattice structures have become increasingly popular in various applications due to their lightweight and wide range of effective properties that can be locally tailored by adjusting their geometric features. Finite element (FE) simulations are commonly used to predict their mechanical response and inform inverse design algorithms. However, these simulations pose significant computational demands due to the large number of elements needed for meshing lattice geometries. This challenge can be addressed by replacing lattice geometries with a homogeneous solid of equivalent mechanical properties, a process known as homogenization. However, determining a suitable constitutive model and parameters is difficult, particularly when the response is nonlinear and anisotropic. To this end, this study presents a method for numerically homogenizing orthotropic lattice structures subjected to large elastic deformations. FE simulations of lattice unit cells are employed to quantify their nonlinear elastic response under large uniaxial tension, compression, and simple shear deformations. The simulation results are then used to fit the constitutive model parameters for the effective behavior of the unit cells, employing a Fung orthotropic hyperelastic formulation. The proposed homogenization method is validated through comparisons with full-geometry simulations and compression experiments on beam-based cubic lattice structures manufactured from thermoplastic polyurethane (TPU) using selective laser sintering (SLS). Furthermore, we compare the response of a beam with orthotropic unit cells under bending, which activates multiple deformation modes. The results demonstrate the feasibility and computational efficiency of the proposed homogenization method, highlighting the potential of this approach for efficient modeling and design of lattice structures in engineering applications.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"212 ","pages":"Article 105534"},"PeriodicalIF":4.1,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145474424","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mechanics of MaterialsPub Date : 2026-01-01Epub Date: 2025-10-30DOI: 10.1016/j.mechmat.2025.105535
Yi Sun, Shuai Ma, Yongbin Dang, Zhiqiang Yang
{"title":"An accelerated shock fatigue life model for complex shock loads with load dispersion","authors":"Yi Sun, Shuai Ma, Yongbin Dang, Zhiqiang Yang","doi":"10.1016/j.mechmat.2025.105535","DOIUrl":"10.1016/j.mechmat.2025.105535","url":null,"abstract":"<div><div>This paper presents an accelerated shock fatigue life model based on load dispersion, which utilizes the experimental life data under high-magnitude loads to assess whether the structure meets the fatigue life design requirements under its original load conditions, thereby improving the experimental efficiency. Firstly, a shock fatigue life database is established by combining experiments with finite element analysis. Then, the shock load dispersion effect is quantified by data fitting, and the relationship between the shock response spectrum parameters and the Weibull parameters is obtained. Finally, a new accelerated shock fatigue life model is established by introducing a relative dispersion factor based on the inverse power law model. Taking BGA solder joints as an example, the shock fatigue damage equivalent boundary of BGA solder joints is calculated. The results show that the error between the predicted boundary and the actual boundary is in the range of −5 %–7 %, verifying the effectiveness of the model.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"212 ","pages":"Article 105535"},"PeriodicalIF":4.1,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145474425","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mechanics of MaterialsPub Date : 2026-01-01Epub Date: 2025-10-31DOI: 10.1016/j.mechmat.2025.105530
Hugo Soul , Vladimir Brailovski , Alejandro Yawny
{"title":"Mechanical behaviour and damage assessment of AlSi10Mg lattice structures fabricated by laser powder bed fusion under static and fatigue loading","authors":"Hugo Soul , Vladimir Brailovski , Alejandro Yawny","doi":"10.1016/j.mechmat.2025.105530","DOIUrl":"10.1016/j.mechmat.2025.105530","url":null,"abstract":"<div><div>The monotonic and fatigue mechanical behaviour of diamond cell lattice structures fabricated by Laser Powder Bed Fusion (L-PFB) from Al10SiMg powder with two relative densities (∼40 and 50 %) was investigated. Pseudostatic tensile, compression and cyclic uniaxial loading tests were carried out with stress ratios R of 0.1 (pull-pull), 10 (push-push) and −1 (symmetric pull-push). The lattice specimens' design incorporated fully dense end regions to facilitate clamping and enable the application of both tensile and compressive loads. Furthermore, smooth graded transitions between the central region of constant relative density and the fully dense extremities were implemented to mitigate stress concentration effects during cyclic loading. The study included measurements of the Young's modulus, the yielding behaviour, the strength, the ductility and the fracture characteristics, and involved a comparison between the tensile and compression monotonic test results, including the collapse and crush patterns associated with the tests. The fatigue test results were then used to analyze damage accumulation over the specimens' lifetimes as indicated by the measured strain response, which exhibited a three-stage pattern. Subsequently, S-N diagrams were built as a function of the global stress amplitude and global maximum stress applied. A novel local stress parameter, encompassing the maximum normal and shear stresses, was proposed as an alternative method for rationalizing fatigue data for lattice structures. This comprehensive investigation provides insight into the mechanical performance and fatigue characteristics of diamond cell lattice structures under various loading conditions.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"212 ","pages":"Article 105530"},"PeriodicalIF":4.1,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145474426","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mechanics of MaterialsPub Date : 2026-01-01Epub Date: 2025-10-30DOI: 10.1016/j.mechmat.2025.105537
Yunhao Zhang , Hao Xia , Zhendong Sha
{"title":"A sole-material hierarchical lattice structure with simultaneous tunable thermal expansion and low-frequency bandgap properties","authors":"Yunhao Zhang , Hao Xia , Zhendong Sha","doi":"10.1016/j.mechmat.2025.105537","DOIUrl":"10.1016/j.mechmat.2025.105537","url":null,"abstract":"<div><div>Hierarchical lattice structures (HLSs) characterized by multiscale and self-similar geometries have attracted increasing attention due to their exceptional mechanical and functional performance. However, almost HLSs focus on bi-material systems, which often suffer from interfacial mismatches. Herein, we propose an HLS composed of a sole-material system of Ti<sub>5</sub>Si<sub>3</sub> with an anisotropic characteristic. This design eliminates interfacial mismatches inherent in bi-material systems and leverages geometry-anisotropy coupling to achieve tunable behavior with reliable and predictable performance. A theoretical framework is established to derive the expressions of thermal expansion coefficient (<em>α</em>). Bloch wave theory and eigenfrequency simulations are employed to evaluate bandgap characteristics and wave propagation behavior. Our results demonstrate that the <em>α</em> is significantly reduced at a small internal angle of 30° and high aspect ratio of 15, achieving a minimum value of 2.56 ppm K<sup>−1</sup> at the third hierarchical level. Accompanied by the decrease in <em>α</em> values, low-frequency bandgaps below 1000 Hz occur. It is also demonstrated that with the increase in hierarchical level, multiple narrower bandgaps are observed due to altered vibration mode patterns. In contrast with previous bi-material HLSs, our sole-material HLS exhibits not only simple manufacturability but also multi-functionalization.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"212 ","pages":"Article 105537"},"PeriodicalIF":4.1,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145418278","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mechanics of MaterialsPub Date : 2026-01-01Epub Date: 2025-10-25DOI: 10.1016/j.mechmat.2025.105532
Abdalla Elbana, Amar Khennane
{"title":"Development of generalized yield surface of fly ash microbubble composites using nonlinear multiscale analysis","authors":"Abdalla Elbana, Amar Khennane","doi":"10.1016/j.mechmat.2025.105532","DOIUrl":"10.1016/j.mechmat.2025.105532","url":null,"abstract":"<div><div>This study presents a multiscale framework to model the nonlinear constitutive behavior of particulate composites containing hollow ceramic inclusions. The composite consists of an elasto-plastic epoxy matrix, plastic in compression and linear elastic in tension, reinforced with brittle, linearly elastic fly ash microbubbles <span><math><mrow><mrow><mo>(</mo><mrow><mn>40</mn><msub><mrow><mi>A</mi><mi>l</mi></mrow><mn>2</mn></msub><msub><mi>O</mi><mn>3</mn></msub><mo>−</mo><mn>60</mn><mi>S</mi><mi>i</mi><msub><mi>O</mi><mn>2</mn></msub></mrow><mo>)</mo></mrow><mtext>.</mtext></mrow></math></span> Representative volume elements (RVEs) with varying particle volume fractions (15–45 %) are used to capture the micromechanical response under multiaxial loading. A structured modeling strategy is employed, including the idealization of fly ash microbubbles as hollow spheres and calibration of cohesive zone models using experimental data and SEM fracture imaging. A three-dimensional yield surface is constructed from RVE simulations, incorporating pressure sensitivity and Lode angle dependence. A custom VUMAT subroutine was developed to implement the proposed yield function which incorporates compressive hardening, tensile softening via a fracture strain limit and a viscosity-based regularization scheme enhances stability in explicit dynamic simulations, especially under small strain increments with low hardening modulus or perfect plasticity. This unified micromechanics-driven approach enables simulation of progressive failure in syntactic foams and related composites.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"212 ","pages":"Article 105532"},"PeriodicalIF":4.1,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145418284","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mechanics of MaterialsPub Date : 2026-01-01Epub Date: 2025-10-16DOI: 10.1016/j.mechmat.2025.105525
Federico Califano , Jacopo Ciambella
{"title":"Enhancing nonlinear viscoelastic modeling of elastomers through neural networks: A deep rheological element","authors":"Federico Califano , Jacopo Ciambella","doi":"10.1016/j.mechmat.2025.105525","DOIUrl":"10.1016/j.mechmat.2025.105525","url":null,"abstract":"<div><div>An established method for incorporating inelastic constitutive equations into finite element software is the use of rheological elements, assembled in series or in parallel, to describe the constitutive response at each material point. This approach can be extended to finite strains by exploiting the multiplicative decomposition of the deformation gradient. In this study, we propose an hybrid approach that integrates traditional elements with elements, with constitutive equations defined through deep neural networks (DNNs), into an assemblage of standard rheological elements. We formulate DNNs to guarantee thermodynamic consistency, enabling us to model the time-dependent, large strain response of elastomers and predict the Payne effect in filled rubber. This effect, characterized by deformation-enhanced shear thinning, poses unique modeling challenges. Additionally, we discuss data augmentation procedures to address the data-intensive nature of training neural networks, showcasing the effectiveness of utilizing ordinary dynamic mechanical analysis (DMA) tests for this purpose.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"212 ","pages":"Article 105525"},"PeriodicalIF":4.1,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145364358","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mechanics of MaterialsPub Date : 2026-01-01Epub Date: 2025-10-01DOI: 10.1016/j.mechmat.2025.105512
Miroslav Zecevic, Ricardo A. Lebensohn, Laurent Capolungo
{"title":"Achieving geometric accuracy in FFT-based micromechanical models using conformal grid","authors":"Miroslav Zecevic, Ricardo A. Lebensohn, Laurent Capolungo","doi":"10.1016/j.mechmat.2025.105512","DOIUrl":"10.1016/j.mechmat.2025.105512","url":null,"abstract":"<div><div>Owing to its efficiency, simplicity and robustness, the FFT-based method has become the standard for computation of mechanical fields in a heterogeneous periodic unit cell. One of the main disadvantages of the FFT-based method is the inaccurate representation of the initial microstructure on a regular grid of voxels, which can be alleviated through the use of distorted initial grids. In this paper, a method for generation of distorted initial grids conforming to the microstructural features (e.g. straight/curved boundaries) is proposed. The method determines the positions of the grid nodes in the initial configuration by solving a system of springs connecting the nodes. Microstructures consisting of layers, Voronoi tessellation and circular/spherical inclusions are considered, and mechanical fields simulated using the FFT-based method. It is found that distorted initial grids, conforming to the microstructural features, lead to more accurate mechanical fields in comparison to the corresponding non-distorted initial grid solution. The effect of initial grid distortion on the convergence of the FFT-based method is analyzed and discussed.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"212 ","pages":"Article 105512"},"PeriodicalIF":4.1,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145271496","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}