{"title":"Effects of external stack and lateral pressures on Li dendrite growth by phase field modelling","authors":"Shuqun Zhu , Longfei Yang , Yuli Chen, Bin Ding","doi":"10.1016/j.euromechsol.2025.105639","DOIUrl":"10.1016/j.euromechsol.2025.105639","url":null,"abstract":"<div><div>Solid-state lithium metal batteries have garnered considerable interest as next-generation energy storage devices owing to higher energy density and safety. However, uneven deposition at the Li anode/solid electrolyte (SE) interface during charging induces the growth of Li dendrites, posing significant safety risks due to potential short circuits. The interface evolution is intrinsically coupled with mechanical contact between the Li anode and SE, where external pressure plays a critical role. In this paper, we develop a mechano-electrochemical bi-coupled phase-field model to simulate Li dendrite growth under various loading conditions, thereby elucidating and quantifying the impact of external pressure - including both stack and lateral pressures on Li dendrite growth. Our key findings include: 1) The lateral widening and vertical penetration of Li dendrites can be inhibited under lateral pressure and stack pressure, respectively. Notably, the length and width of the Li dendrites are considerably reduced when stack and lateral pressures are simultaneously applied. The direction of inhibition is closely associated with the regions/branches which maintain higher stress and smooth surface. 2) Larger external pressure decreases the Li dendrite area and enhances space utilization, due to the reduced overall reaction rate at the Li dendrite/SE interface. 3) The uniformity of electrochemical reaction at Li dendrite/SE interface is improved under equal large stack and lateral pressures. These insights provide essential guidance for pressure management strategies in battery design.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"112 ","pages":"Article 105639"},"PeriodicalIF":4.4,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143620639","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Z.Y. Hu , Y.X. Zhao , J. Xu , R.C. Pan , H.W. Chai , H.L. Xie , N.B. Zhang , L. Lu , S.N. Luo
{"title":"Shock compression and spallation of ABS and ABS/PC blend under plate impact","authors":"Z.Y. Hu , Y.X. Zhao , J. Xu , R.C. Pan , H.W. Chai , H.L. Xie , N.B. Zhang , L. Lu , S.N. Luo","doi":"10.1016/j.euromechsol.2025.105630","DOIUrl":"10.1016/j.euromechsol.2025.105630","url":null,"abstract":"<div><div>Plate impact experiments are conducted on acrylonitrile-butadiene-styrene (ABS) and an ABS/polycarbonate (ABS/PC) blend to investigate their shock compression and spallation properties. The Hugoniot equation of state and shock-state sound speed are measured up to a peak shock stress of 1.6 GPa through reverse impact. Spall strength and tensile strain rate are derived from the free-surface velocity histories. Spall strength is approximately constant for both materials. The addition of 30 wt% PC results in an 270% increase in spall strength (<span><math><mo>∼</mo></math></span>46 MPa for ABS versus 170 MPa for ABS/PC). The underlying damage mechanisms are further investigated using X-ray computed tomography. Extensive ellipsoidal voids are observed in the postmortem ABS specimens, while thin, curved cracks are identified in ABS/PC samples. These differences in dynamic responses and damage mechanisms between ABS and ABS/PC can be attributed to internal particle cavitation, crazing and interface debonding.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"112 ","pages":"Article 105630"},"PeriodicalIF":4.4,"publicationDate":"2025-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143591548","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Donghang Jie , Jie Bai , Menghao Ran , Dagang Yin , Shiyun Lin
{"title":"Bending performance and crack propagation in biomimetic honeycomb structures for sustainable lightweight design","authors":"Donghang Jie , Jie Bai , Menghao Ran , Dagang Yin , Shiyun Lin","doi":"10.1016/j.euromechsol.2025.105640","DOIUrl":"10.1016/j.euromechsol.2025.105640","url":null,"abstract":"<div><div>In response to global resource shortages and environmental crises, lightweight design and resource-efficient utilization have emerged as pivotal technologies. This study innovatively introduces Fractal theory, which breaks the traditional paradigm of optimizing homogeneous materials, and establishes in 3D printed honeycomb structures a quantitative mapping relationship between crack propagation paths and fractal dimensions. The investigation focuses on 6 mm hexagonal honeycomb units, along with 5 mm and 10 mm square variants, exploring their drone design applications based on size-specific energy absorption characteristics. Using Fused Deposition Modeling (FDM) technology, we manufactured polylactic acid (PLA) honeycomb samples with hexagonal (Hex6) and square (Sq5, Sq10) topologies, with their mechanical responses characterized through quasi-static bending tests. Experimental results demonstrate that the hexagonal structure exhibits a unique multi-stage energy dissipation mechanism, showing 2.7% and 21.0% higher energy absorption capacity (0.7031 ± 0.0296 MJ/m<sup>3</sup>) compared to Sq5 (0.6847 ± 0.1213 MJ/m<sup>3</sup>) and Sq10 (0.5812 ± 0.0666 MJ/m<sup>3</sup>), respectively. Fractal analysis further reveals that Hex6's crack path fractal dimension (D <sub>Hex6</sub> = 1.4121 ± 0.0361) significantly exceeds those of Sq5 (1.4052 ± 0.0316) and Sq10 (1.3911 ± 0.0324). These findings resolve the longstanding ambiguity between structural performance and failure mechanisms in existing research, establishing a bio-inspired lightweight design framework that synergistically integrates geometric configuration, manufacturing processes, and mechanical performance for multidimensional optimization.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"112 ","pages":"Article 105640"},"PeriodicalIF":4.4,"publicationDate":"2025-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143600778","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ondřej Faltus , Milan Jirásek , Martin Horák , Martin Doškář , Ron Peerlings , Jan Zeman , Ondřej Rokoš
{"title":"Towards active stiffness control in pattern-forming pneumatic metamaterials","authors":"Ondřej Faltus , Milan Jirásek , Martin Horák , Martin Doškář , Ron Peerlings , Jan Zeman , Ondřej Rokoš","doi":"10.1016/j.euromechsol.2025.105632","DOIUrl":"10.1016/j.euromechsol.2025.105632","url":null,"abstract":"<div><div>Pattern-forming metamaterials feature microstructures specifically designed to change the material’s macroscopic properties due to internal instabilities. These can be triggered either by mechanical deformation or, in the case of active materials, by other external stimuli, such as pneumatic actuation. We study a two-dimensional rectangular lattice microstructure which is pneumatically actuated by non-uniform pressure patterns in its voids, and demonstrate that this actuation may lead to different instability patterns. The patterns are associated with a significant reduction in the macroscopic stiffness of the material. The magnitude of this reduction can be controlled by different arrangements of the pressure actuation, thus choosing the precise buckled shape of the microstructure. We develop an analytical model and complement it with computational tests on a two-dimensional plane-strain finite element model. We explain the phenomenon and discuss ways of further developing the concept to actively control the stiffness of materials and structures.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"112 ","pages":"Article 105632"},"PeriodicalIF":4.4,"publicationDate":"2025-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143620641","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Electro-mechanically coupled pure-shear cyclic deformation of dielectric elastomers at different temperatures: Experiments and constitutive model","authors":"Pengyu Ma, Kaijuan Chen, Guozheng Kang","doi":"10.1016/j.euromechsol.2025.105637","DOIUrl":"10.1016/j.euromechsol.2025.105637","url":null,"abstract":"<div><div>This study initially conducts experimental observations on the electro-mechanically coupled pure-shear cyclic deformation of VHB™4910 dielectric elastomer at varying temperatures. The experimental results indicate that the temperature alteration has a considerable impact on the electro-mechanically coupled deformation of this elastomer. Under the strain-controlled cyclic deformation, the voltage application causes a decrease of stress response; but its decreased amount at different temperatures is almost the same. Under the stress-controlled cyclic deformation, the voltage application increases the ratchetting strain of the elastomer, leading to a reduction of sample thickness, which further amplifies the effect of voltage; meanwhile, the impact of voltage on the ratchetting amplifies as the temperature increases. Moreover, the electro-mechanically coupled cyclic deformation of VHB™4910 dielectric elastomer also shows significant loading level/loading rate dependence. Based on the experimental results, a temperature-dependent electro-mechanically coupled visco-hyperelastic constitutive model is presented. In the developed model, the strongly temperature-dependence of viscoelastic behavior and the role of voltage application of the elastomer are considered by incorporating the temperature-dependent shear modulus and dielectric constant. Finally, comparing the experimental results and simulated ones demonstrates that the developed model has a good capability for capturing the temperature-dependent electro-mechanically coupled cyclic deformation of dielectric elastomers.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"112 ","pages":"Article 105637"},"PeriodicalIF":4.4,"publicationDate":"2025-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143591547","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Assessment of the viscoelastic and multi-axial mechanical response of POM using hypoelastic and hyperelastic constitutive models","authors":"Björn Stoltz , Martin Kroon","doi":"10.1016/j.euromechsol.2025.105625","DOIUrl":"10.1016/j.euromechsol.2025.105625","url":null,"abstract":"<div><div>The mechanical behaviour of thermoplastics is strongly rate-dependent. One thermoplastic that is commonly used in industrial applications is polyoxymethylene (POM). In a previous paper (Mechanics of Time-dependent Materials, 2024, vol 28, p 43-63), the uniaxial tensile properties of POM were tested, and in the present study, those tests are complemented by compression tests, bending tests, and punch tests.</div><div>The test data in this study can be divided into calibration data and verification data. The calibration experiments consist of both tensile and compression tests carried out in monotonic loading, stress relaxation, and zero-stress creep. Three-point bending and quasi-static punch tests are used as verification tests. Overall, the experiments showed good repeatability, and there was a low dispersion in the experimental results.</div><div>The paper compares the performance of three constitutive models that have been developed for modelling these materials. Two hyperelastic models and one hypoelastic model are compared. The models are calibrated using the uniaxial data and then applied to the results from the more advanced tests. The material models are calibrated by utilizing commercially available optimization software.</div><div>All models have the ability to model visco-elasticity. Two of the models are network models with three visco-elastic branches/legs/phases. These two models are built in a similar way with two main novelties. The first novelty is that the stiffness can vary with the elastic deformation (in contrast to a standard neo-Hookean and Hookean model). The second novelty is that the exponent of viscous relaxation can vary with viscous deformation. The third model is an Eulerian model, meaning that all state variables are defined in the current state of the material.</div><div>Taken together, the models were able to describe the experimental results relatively well. It was concluded that they have different strengths and weaknesses. The hypoelastic model was able to describe the uniaxial calibration data best. On the other hand, this model became unstable at large deformations when simulating the punch tests. The two hyperelastic models could not model the zero-stress creep in the uniaxial tests but were able to predict the outcome from the punch tests quite well.</div><div>It was clear from the simulations that further model development is needed in order to capture all aspects of the experimental results.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"112 ","pages":"Article 105625"},"PeriodicalIF":4.4,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143563169","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
He Gang , Zhou Yang , Han Zhengtong , Xu Ze , Lv Hao
{"title":"Dragonfly-like wing structure enabled by a novel skeleton-reinforced neural style transfer assisted topology optimization and additive manufacturing","authors":"He Gang , Zhou Yang , Han Zhengtong , Xu Ze , Lv Hao","doi":"10.1016/j.euromechsol.2025.105631","DOIUrl":"10.1016/j.euromechsol.2025.105631","url":null,"abstract":"<div><div>Natural flyers, such as dragonflies, serve as excellent models for obtaining wing structures with superior performance due to their excellent mechanical characteristics, motivating the design of bionic structures with similar features. Therefore, this paper proposed a novel skeleton-reinforced neural style transfer assisted topology optimization (SNST-TO) method that integrates density-based topology optimization with a convolutional neural network to impose stylistic feature constraints, while rigorously controlling the minimum length scale using a structural skeleton. The core of this method is the incorporation of geometric skeleton information into the topology optimization process, which prevents unmanufacturable structural features by relying on geometric knowledge rather than solely on pixel similarity. The influence of the key parameters in the algorithm were deeply studied through a series of numerical examples, and the effectiveness and the robustness of the SNST-TO method were completely proved. Furthermore, the dragonfly-like wing structures were designed using the proposed SNST-TO method and commercial software ABAQUS under uniform boundary conditions for clear comparison. Especially, these designs were fabricated using fused deposition modeling additive manufacturing technology and tested through compression experiments in both spanwise and chordwise directions. Results show that the bionic dragonfly wing structure designed using the proposed algorithm outperforms the ABAQUS-optimized structure in mechanical performance, with enhanced spanwise and chordwise load capacities. The findings show that the SNST-TO method facilitates the design of lightweight, load-bearing dragonfly-like wing structures, with potential applications in creating biomimetic structures for other organisms.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"112 ","pages":"Article 105631"},"PeriodicalIF":4.4,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143552137","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Nonlinear free vibration of sandwich beam with data-driven inverse-designed auxetic core based on deep learning","authors":"Xi Fang, Hui-Shen Shen, Hai Wang","doi":"10.1016/j.euromechsol.2025.105626","DOIUrl":"10.1016/j.euromechsol.2025.105626","url":null,"abstract":"<div><div>This paper presents a novel data-driven inverse design approach for auxetic sandwich beams using a deep generative model (DGM). By integrating a conditional estimator with enhanced loss backpropagation, the DGM can produce 3D truss auxetic unit cells exhibiting the desired negative Poisson's ratio, which serve as the microstructures for the auxetic core of sandwich beams. Employing finite element analysis and advanced 3D metal printing techniques, both numerical and experimental investigations on the linear and nonlinear free vibration characteristics of the 3D lattice specimens are conducted. Remarkably, the free vibration analysis results demonstrate that auxetic sandwich beams designed with DGM achieve significantly higher natural frequencies than those optimized using common topological approaches. We conclude that the proposed DGM-based inverse design methodology holds substantial promise within the field of sandwich structure design. The parametric studies are carried out and the numerical results reveal that factors such as the functionally graded configuration of the core, the facesheet-to-core thickness ratio, boundary conditions, and thermal environments critically influence both linear and nonlinear vibration characteristics of the DGM-engineered sandwich beams.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"112 ","pages":"Article 105626"},"PeriodicalIF":4.4,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143529450","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Michele Benzi , Daniele La Pegna , Paolo Maria Mariano
{"title":"Spectra and pseudospectra in the evaluation of material stability in phase field schemes","authors":"Michele Benzi , Daniele La Pegna , Paolo Maria Mariano","doi":"10.1016/j.euromechsol.2025.105613","DOIUrl":"10.1016/j.euromechsol.2025.105613","url":null,"abstract":"<div><div>We consider the dynamics of bodies with ‘active’ microstructure described by vector-valued phase fields. For waves with time-varying amplitude, the associated evolution equation involves a matrix that can be non-normal, depending on the constitutive choices adopted for the microstructural actions associated with the considered phase field. The occurrence of non-normality requires to look at the pseudospectrum of the considered matrix, namely the set of all possible eigenvalues of matrices in a <span><math><mi>ɛ</mi></math></span>-neighborhood of the matrix itself, because the eigenvalues of non-normal matrices can be very sensitive to small perturbations and therefore the spectral analysis alone would not be sufficient to distinguish with certainty between stable and unstable behavior. We develop the relevant analyses in the case of quasicrystals for which the values of some constitutive parameters are not known or are uncertain from an experimental point of view, a circumstance suggesting parametric analyses. We find circumstances in which the pseudospectra obtained by means of the so-called structured perturbations predict instability when, instead, the spectral analysis indicates stability.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"112 ","pages":"Article 105613"},"PeriodicalIF":4.4,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143518941","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Anna Gorgogianni , Tanguy Ramanantsoavina , Chloé Arson
{"title":"Error propagation from microstructure changes to apparent stiffness in 2D biphase matrix-inclusion composites","authors":"Anna Gorgogianni , Tanguy Ramanantsoavina , Chloé Arson","doi":"10.1016/j.euromechsol.2025.105612","DOIUrl":"10.1016/j.euromechsol.2025.105612","url":null,"abstract":"<div><div>The representation of material microstructure in most existing analytical homogenization models is condensed into a set of well-known “classical” microstructure descriptors, such as the volume fraction and morphology of the individual phases of a composite. This study considers an enriched set of micro descriptors, containing both those “classical” descriptors as well as “non-classical” descriptors which quantify the spatial correlations of any two given micro material points inside a random heterogeneous material. We focus on 2D composites consisting of a matrix with embedded inhomogeneities (or inclusions) of random spatial arrangement. Both phases are treated as homogeneous, linearly elastic and isotropic. Starting from a rich database of reference microstructures, new datasets of perturbed microstructures are created, by inducing changes emulating the physical processes of inclusion nucleation and growth. All microstructures are characterized using the enriched set of micro descriptors, while their apparent stiffness tensor is computed numerically with the finite element (FE) method. A sensitivity analysis between the changes of the micro descriptors and corresponding changes of the apparent stiffness tensor reveals that the “non-classical” descriptors are consistently highly important to the macroscopic behavior. This suggests that enhanced homogenization models, made dependent on the identified pertinent “non-classical” micro descriptors, could be of higher predictive capability than existing approaches.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"112 ","pages":"Article 105612"},"PeriodicalIF":4.4,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143519619","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}