Mikhail V. Golub, Olga V. Doroshenko, Sergey I. Fomenko
{"title":"Effective spring boundary conditions for modelling wave propagation through a damaged interface between dissimilar orthotropic media","authors":"Mikhail V. Golub, Olga V. Doroshenko, Sergey I. Fomenko","doi":"10.1016/j.euromechsol.2024.105564","DOIUrl":"10.1016/j.euromechsol.2024.105564","url":null,"abstract":"<div><div>In-plane elastic wave propagation through a damaged interface between dissimilar orthotropic media is investigated. The damage is modelled as a randomly distributed array of micro-cracks, and this is converted into the effective spring boundary conditions stated at the imperfect interface. Wave propagation through the interfaces with perfect contact and imperfect contact described by the spring boundary conditions and a distribution of micro-cracks is considered. Asymptotic solution for plane wave scattering by a single interface crack is obtained in an explicit form and compared with the numerical solution for a small ratio of crack length to wavelength. Based on the asymptotic solution, explicit analytical formulae for effective spring stiffnesses are derived in terms of the elasticity tensor of contacting orthotropic media, the crack density and the micro-crack length. Several examples of spring stiffnesses for a variety of typical laminated composites are presented. The resulting relations can be employed for estimating the severity of interfacial damages considering the stiffnesses of the interface, which can be estimated using ultrasonic methods.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105564"},"PeriodicalIF":4.4,"publicationDate":"2025-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143512195","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":"Nanocluster-induced creep inhibition for nanocrystalline materials: A theoretical model","authors":"Hanlu Xie , Shilin Li , Long Yu , Xiazi Xiao","doi":"10.1016/j.euromechsol.2025.105570","DOIUrl":"10.1016/j.euromechsol.2025.105570","url":null,"abstract":"<div><div>Nanocrystals have been well known for their high strength, but the comparatively poor creep properties have limited the application as engineering structural materials. Recently, it has been noticed that adding nanoclusters of alloying elements can effectively inhibit the creep behavior of nanocrystals. In order to fundamentally comprehend the creep inhibition mechanism, a theoretical model is proposed in this work that combines the crystal plasticity theory and viscoplastic self-consistent method. At the grain level, creep strain rate dominated by the grain boundary and grain interior is characterized, respectively. Nanoclusters result in the suppression of grain boundary creep from three aspects, including the influence on diffusion coefficient, dislocation glide area and movement resistance. For the grain interior, the average distance between dislocations is reduced by nanoclusters, thereby affecting the evolution of dislocation density. At the polycrystalline level, viscoplastic self-consistent method is applied to predict the creep behaviors of nanocluster-contained nanocrystals. To validate the developed creep model, experimental data of both nanocrystalline pure Cu and Cu–Ta alloys has been considered. A good agreement of the creep curves is achieved between the theoretical results and experimental data, which provides a basis for further analyzing the creep inhibition mechanisms from the perspective of microstructure evolution.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105570"},"PeriodicalIF":4.4,"publicationDate":"2025-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136324","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":"A novel methodology for affecting the strain paths during hydraulic bulge tests by means of laser heat treatments","authors":"A. Cusanno , D. Carty , G. Palumbo","doi":"10.1016/j.euromechsol.2025.105569","DOIUrl":"10.1016/j.euromechsol.2025.105569","url":null,"abstract":"<div><div>Nowadays, the design of manufacturing processes is supported by numerical simulations, that require an understanding of the material forming limits under the process conditions. The hydraulic bulge test represents an effective and well-established experimental procedure to evaluate critical strains of a material. However, it relies on using different elliptical die geometries to vary strain paths, introducing limitations in experimental flexibility. This work aims to evaluate the feasibility of achieving different strain paths during hydraulic bulge tests only using a circular die, by pre-softening certain zones of the testing blank using laser heating. The laser heat treatments (LHTs) were designed using a numerical/experimental approach. Two LHT strategies using different laser power values were performed to locally modify the material properties. Then, hydraulic bulge tests were conducted on the LHTed specimens and the resulting strain paths were analysed. The strain paths acquired during hydraulic bulge tests confirmed the possibility to affect the slope of the strain path at the dome by changing the LHT strategy, designed with the proposed methodology.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105569"},"PeriodicalIF":4.4,"publicationDate":"2025-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136292","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}
María A. Herrera-Garrido , Vladislav Mantič , Roman Vodička
{"title":"Is the decoupling into plane and antiplane singular eigensolutions always possible in corners with frictional contact?","authors":"María A. Herrera-Garrido , Vladislav Mantič , Roman Vodička","doi":"10.1016/j.euromechsol.2024.105559","DOIUrl":"10.1016/j.euromechsol.2024.105559","url":null,"abstract":"<div><div>Consider stress singularities in semiinfinite linear elastic corners under generalized plane strain (GPS), where elastic variables do not change along the longitudinal direction <span><math><msub><mrow><mi>x</mi></mrow><mrow><mn>3</mn></mrow></msub></math></span>. It is commonly assumed that if the material in the corner has an elastic symmetry plane <span><math><mrow><msub><mrow><mi>x</mi></mrow><mrow><mn>3</mn></mrow></msub><mo>=</mo><mn>0</mn></mrow></math></span>, the singular eigensolutions can be decomposed into plane and antiplane solutions. This has traditionally been assumed regardless of the boundary and interface conditions applied on the corner faces. The present work shows that this assumption should not be made if there is sliding friction contact, even with a low coefficient of friction, on the interface between the materials or on the boundary of the corner because some eigensolutions might be overlooked. It is shown that unexpected asymmetric eigensolutions may exist in which the plane and antiplane modes cannot be decoupled despite the elastic symmetry in the corner. Examples of such unexpected asymmetric eigensolutions are computed and analyzed for isotropic and orthotropic single- and bi-material corners. The key is to perform the corner singularity analysis under GPS without assuming the sliding angle on the friction faces. In some corner configurations, these unexpected strange coupled eigensolutions are the most singular of all eigensolutions satisfying the friction energy dissipation condition, thus, they could govern damage initiation at these corners.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105559"},"PeriodicalIF":4.4,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136004","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":"Mechanical modeling of plantar pressure during human walking in different terrains: Experiments and analysis","authors":"Jiaqi Liu , Hongbin Fang , Mingfei Feng , Qiwei Zhang , Jian Xu","doi":"10.1016/j.euromechsol.2024.105566","DOIUrl":"10.1016/j.euromechsol.2024.105566","url":null,"abstract":"<div><div>Accurate plantar pressure models play a pivotal in predicting human gait dynamics and have broad applications, including the development of exoskeletons, prosthetics, and legged robots. However, existing models often overlook the influence of varying terrains on plantar pressures. In this study, we conducted a comprehensive modeling analysis of plantar pressure using experimental walking data collected from 12 subjects (6 males and 6 females). Statistical analysis reveals significant variations in vertical ground reaction forces across different plantar regions and terrains. In response to these findings, we develop a novel viscoelastic ellipsoid model capable of describing the complex mechanical behavior of foot-ground contact. The plantar tissue is divided into five distinct regions, each represented by an ellipsoid with viscoelastic material properties. Our model also expresses the plantar deformation by the contact area, which can be measured by in-shoe pressure sensors, thus addressing the challenge of measuring plantar tissue deformation in walking experiments. Additionally, we employ a quasi-static contact model to estimate the equivalent contact area, overcoming the challenge of contact area saturation during walking and improving the model's accuracy. Based on this foundation, we apply an intelligent optimization algorithm to identify the optimal geometric and material parameters of the ellipsoid models. Comparison of model outputs and experimental results demonstrate that the ellipsoid model can accurately render the vertical ground reaction forces of different plantar regions under various terrains, providing valuable insights into foot-ground interaction. Moreover, by comparing the results of parameter optimization in different terrain contexts, we unveil the critical relationships between terrain factors and model parameters, thereby deepening our understanding of foot-ground contact mechanics.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105566"},"PeriodicalIF":4.4,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136005","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":"Contribution of microscale stochastic truss models to investigate the macroscale elasticity constants of porous ceramics","authors":"Thierry Canet, Gilles Dusserre, Thierry Cutard","doi":"10.1016/j.euromechsol.2024.105561","DOIUrl":"10.1016/j.euromechsol.2024.105561","url":null,"abstract":"<div><div>This paper deals with modelling the mechanical behaviour of silica-alumina open-cell porous ceramics obtained by viscous flow sintering. The modelling approach is based on the similarity of the material microstructure to a truss of sintering bridges connecting alumina particles. This makes it possible to use two-node elements, leading to a low computational cost. The method includes the building of a random packing of spheres (alumina particles) and the setup of connections between their centres (silica sintering bridges). An equivalent stiffness is then assigned to each bridge, based on the material parameters. The macroscale elasticity constants have been derived from the natural frequencies of such micrometric cylindrical volume elements made of thousands of particles. The reliability of the underlying assumptions is discussed and the dependence to the material parameters is emphasized. The method is suitable to handle more complex behaviours, which opens the door to fracture modelling.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105561"},"PeriodicalIF":4.4,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136315","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}
Yuchen Hu , Haiyang Zhou , Xinpeng Tian , Qian Deng , Jan Sladek , Vladimir Sladek , Shengping Shen
{"title":"A 3D collocation MFEM for the analysis of flexoelectric solids","authors":"Yuchen Hu , Haiyang Zhou , Xinpeng Tian , Qian Deng , Jan Sladek , Vladimir Sladek , Shengping Shen","doi":"10.1016/j.euromechsol.2024.105547","DOIUrl":"10.1016/j.euromechsol.2024.105547","url":null,"abstract":"<div><div>In this paper, a three-dimensional (3D) collocation mixed finite element method (CMFEM) is proposed for the analysis of flexoelectric solids. In this 3D CMFEM, the independent approximations by quadratic interpolation polynomials are applied for the pair of elastic displacements and strains as well as for the pair of electric potential and electric field, with the compatibility of approximations for each pair being satisfied at the selected Gauss points inside each finite element. Thus, <span><math><msup><mrow><mtext>C</mtext></mrow><mrow><mn>0</mn></mrow></msup></math></span> continuous approximations of strains and electric fields can be obtained based on standard finite elements without introducing any additional nodal degrees of freedom (DOFs) except the primary field variables. The accuracy of the present method is validated through comparing the numerical results with the analytical solutions for a cantilever beam and a truncated pyramid. Using the developed CMFEM, we also model the flexoelectric effect in the 3D Mode III crack and find that the flexoelectric field along the crack front line is nonuniform, which is different from previous 2D study and shows the importance of the proposed 3D CMFEM. Besides, numerical results indicate that with the increase of the thicknesses, the out-of-plane displacement and flexoelectric response would decrease.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105547"},"PeriodicalIF":4.4,"publicationDate":"2025-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136323","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":"Behavior of monolithic and composite shields under space debris impact","authors":"Kailash Kumar, M.A. Iqbal, P.K. Gupta","doi":"10.1016/j.euromechsol.2024.105558","DOIUrl":"10.1016/j.euromechsol.2024.105558","url":null,"abstract":"<div><div>Designing space structures for long-duration missions requires accounting for the impact of space debris. This involves assessing lightweight, high-strength composite shields, commonly used in aerospace applications, for their response to hypervelocity impacts. The available research on this subject mostly focuses on determining the size of space debris such as spheres, cylinders, disks, and rings which must be resisted by the shields. However, there have been fewer studies on ellipsoidal debris. Predicting the average residual velocity of space debris and determining a ballistic limit of shields are important for ensuring structural safety against space debris impact. This study investigates the ballistic performance of Al-2024-T3 aluminum alloy, nylon 66 polymer (NY66), nylon 66 fiber (NYF66), and their composite shields under hypervelocity impacts with ellipsoidal debris. The shape factor (SF), based on the length-to-diameter (L/d) ratio, categorizes the ellipsoidal debris. The Johnson-Cook model for Al-2024-T3 and the Elastic-Plastic Hydro model for NY66 and NYF66 were calibrated and the simulations performed on LS-DYNA code validated with experimental results. Modified equations for ballistic limit and residual velocity were derived from computational results. Among the materials, NYF66 showed superior ballistic resistance. Composite Type-A was optimal for hypervelocity impacts, while Type-C1 excelled in high-velocity impacts.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105558"},"PeriodicalIF":4.4,"publicationDate":"2025-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136321","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":"Enhancing bending and compression resistance of additively manufactured bio-inspired architected structures","authors":"Alessia Senatore , Mattia Venza , Sara Candidori , Serena Graziosi , Federica Buccino","doi":"10.1016/j.euromechsol.2024.105557","DOIUrl":"10.1016/j.euromechsol.2024.105557","url":null,"abstract":"<div><div>To tackle the challenge of optimizing structural performance and minimizing weight, this research explores the potential of multi-scale bio-inspired design principles in combination with 3D printing. Besides, multi-objective genetic algorithm-based optimization strategies are applied to enhance structure bending and compression resistance. Hollow cylinders, commonly used in piping, structural supports, and biomedical implants, are ideal for this approach as reducing their weight often compromises stiffness and stability, highlighting the need for new design strategies. Herein, the successful combination of bio-inspiration, including plant- and animal-based solutions, and multi-objective optimization plays a core role in the architected structure design to minimize volume and maximize reaction force. Among the various bio-inspired models evaluated, the <em>Horsetail</em> structure has emerged as the most effective, demonstrating 100% increase in the reaction force under bending loads, a 40% improvement in maximum displacement before instability, and a 20% increase in compressive resistance if compared to the reference hollow cylinder. Validation through a combined experimental and numerical approach confirms the accuracy and reliability of the developed models. The successful application of the Material Extrusion process to fabricate these bio-inspired structures proves their practical feasibility. Here, integrating these optimized designs into real-world applications can replace conventional cylindrical pylons with lighter, load-optimized 3D-printed alternatives.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105557"},"PeriodicalIF":4.4,"publicationDate":"2024-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136230","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}
Xinhao Wang , Zhen Li , Huiming Sun , Yuan Xie , Zhengyang Kang , Xiaoping Su
{"title":"Enhancement of a dual-directional graded honeycomb under dynamic crushing velocity","authors":"Xinhao Wang , Zhen Li , Huiming Sun , Yuan Xie , Zhengyang Kang , Xiaoping Su","doi":"10.1016/j.euromechsol.2024.105562","DOIUrl":"10.1016/j.euromechsol.2024.105562","url":null,"abstract":"<div><div>Understanding the enhancement effects of graded design on the dynamic crushing behavior of honeycombs is crucial for engineering applications. This paper investigates the enhancing performance of a novel dual-directional graded honeycomb called modularized honeycomb (MH) under dynamic loading conditions. Finite element (FE) models of MH are developed and validated through drop weight impact tests. A theoretical model for predicting the dynamic plateau stress of MH is also derived. By analyzing both FE and theoretical results, it is concluded that for any average relative density and graded coefficient, the strength and specific plastic energy absorption of MH increase with crushing velocity, and MH consistently outperforms that of uniform honeycomb (UH). However, the enhancement coefficient, i.e., strength ratio between MH and UH, decreases as increasing crushing velocity. The underlying mechanism for this is uncovered based on the design principle and the theoretical model. Moreover, the enhancement coefficient and energy ratio exhibit insensitivity to average relative density under dynamic loadings. Overall, this paper reveals enhancement effects of modularized design on dynamic crushing behaviors of MH and provides insights into the differences between MH and UH, which could benefit development of excellent lightweight energy absorbers.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"111 ","pages":"Article 105562"},"PeriodicalIF":4.4,"publicationDate":"2024-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136319","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}