{"title":"All admissible shapes of neutral inclusions with the complete Gurtin-Murdoch surface model","authors":"Shichao Xing , Ming Dai , Peter Schiavone","doi":"10.1016/j.euromechsol.2025.105991","DOIUrl":"10.1016/j.euromechsol.2025.105991","url":null,"abstract":"<div><div>In linear elastostatics, an inclusion embedded into a host foreign matrix is referred to as ‘neutral’ when it does not disturb the original stress field in the matrix. It has been shown that an inclusion of particular shape can be made neutral by designing an appropriate interphase between the inclusion and the matrix. The Gurtin-Murdoch (G-M) interface model has been used extensively in the literature to describe the elastic behavior of an interphase at small scales. It has been shown in the literature that in the case of plane deformation, when the matrix is subjected to external in-plane loading, the use of the simplified version of the G-M interface model (with constant interface parameters), eliminates the possibility of a neutral inclusion except for the case when the inclusion is circular and the (uniform) external in-plane loading is hydrostatic. In this paper, we revisit this scenario and examine the possibility of constructing neutral inclusions using the <em>complete</em> version of the G-M interface model. We identify sufficient and necessary conditions for neutrality in terms of the inclusion shape, the corresponding elastic constants and loading parameters. We find that with the complete version of the G-M interface model (for constant interface parameters), it is indeed possible to construct neutral inclusions for certain non-circular inclusion shapes or non-hydrostatic uniform external in-plane loadings.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"117 ","pages":"Article 105991"},"PeriodicalIF":4.2,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145749779","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}
Haoyang Wang , Zhen Zhang , Yin Yao , Zhilong Peng , Guangjian Peng , Peijian Chen
{"title":"The interfacial behavior of fiber-reinforced hydrogels with interphases: Experimental analysis, theoretical modeling and numerical simulation","authors":"Haoyang Wang , Zhen Zhang , Yin Yao , Zhilong Peng , Guangjian Peng , Peijian Chen","doi":"10.1016/j.euromechsol.2025.105986","DOIUrl":"10.1016/j.euromechsol.2025.105986","url":null,"abstract":"<div><div>Facing the drawbacks of traditional synthetic hydrogels, fiber-reinforced hydrogels are paid more attention due to their advantages such as high strength and fracture toughness, superior fatigue resistance and so on. However, the poor interfacial behavior of fiber-reinforced hydrogels hinders their blooming applications in flexible electronics, biochemistry, soft robotics, etc. Through existing works have dealt with direct bonding between fibers and the matrix, obvious shortcomings occur when the material mismatch is rather serious. Herein, a strategy of introducing interphases to improve the interfacial behavior of fiber-reinforced hydrogels is proposed. The interfacial response of fiber-reinforced hydrogels under single-fiber pull-out loads is comprehensively analyzed through experimental research, theoretical analysis and numerical simulation. It is found that fiber-reinforced hydrogels with interphases exhibit superior interfacial performance, and the corresponding interfacial failures can be effectively avoided due to the significant reduction of interfacial shear stress by up to 80 % and the increase of interfacial strength. What is more, the interfacial behavior of fiber-reinforced hydrogels with interphases can be well improved by tuning various material and geometric factors. These results should be helpful not only for the design of fiber-reinforced hydrogels, but also for the enhancement of knowledge of interfacial mechanics.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"117 ","pages":"Article 105986"},"PeriodicalIF":4.2,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145749781","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":"Partial and Lamb waves in non-local elasticity with kernel modification","authors":"Dipendu Pramanik , Andrea Nobili , Santanu Manna","doi":"10.1016/j.euromechsol.2025.106003","DOIUrl":"10.1016/j.euromechsol.2025.106003","url":null,"abstract":"<div><div>We study dispersion of Rayleigh–Lamb (R-L) waves in an infinite isotropic strip within the theory of non-local elasticity with kernel modification. Within this approach, the set of constitutive boundary conditions (CBCs) embedded in the attenuation functions contain the set of natural boundary conditions (BCs) of the problem and this feature, besides avoiding nonphysical BCs, warrants that the problem is well-posed. We show that, in contrast to local elasticity, the dispersion equation emerges from imposing the equations of motion, given that the BCs are automatically satisfied by the very choice of the attenuation functions. Similarly to local elasticity, the problem naturally decouples into symmetric and anti-symmetric partial modes, although this feature is not obvious here and crucially depends on certain symmetry properties of the kernels. We prove that symmetric and anti-symmetric kernels may be constructed directly, to avoid solving the full problem, and we show how these kernels relate to the original. Explicit dispersion relations for symmetric and anti-symmetric partial waves are obtained, that reveal the size-dependent deviation from the classical predictions. Overall, results reproduce the general features already observed in local elasticity, such as the convergence of the fundamental modes to the Rayleigh speed and of the higher modes to the bulk wave speeds, although these are no longer constants. Yet, both fundamental modes, and especially the symmetric one, significantly depart from the local theory, which fact has important consequences on the corresponding asymptotic model for non-local beams.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"117 ","pages":"Article 106003"},"PeriodicalIF":4.2,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145797812","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":"Characterization of deformation mechanism of open cell polymeric foams based on in situ X-ray computed tomography compression tests and image-based finite element method","authors":"Shaoheng Feng , Luca Andena , Michele Nacucchi , Fabio De Pascalis","doi":"10.1016/j.euromechsol.2026.106047","DOIUrl":"10.1016/j.euromechsol.2026.106047","url":null,"abstract":"<div><div>Open cell polyurethane foams, with their unique interconnected cell structure, have a wide range of properties and are suitable for many applications exploiting their microporous structure. Their three-dimensional spatial arrangement allows flow of liquids and solids through the material; they can be used as sound absorbing materials, catalyst carriers, and drug delivery materials. In this paper, in-situ X-ray computed tomography (CT) was used to characterize the deformational behavior and the related changes of an open cell polyurethane (PU) foam microstructure during compression. The CT images of the microstructure were taken at different strain levels almost up to incipient densification. These images allowed to reconstruct the geometry of the foam and to create 3D finite element models by applying level-set method (LSM) and Delaunay Triangulation (DT) algorithms. The foam morphological features at different strain levels were identified, with a quantitative evaluation of several geometric parameters including strut length, strut thickness and strut orientation. Afterwards, finite element analysis was performed using these models and compared with experimental tests to describe active deformation mechanisms and microstructural changes during compression. A good agreement was observed between simulation and experiments which verified the effectiveness of the proposed image-based finite element analysis method. Qualitative and quantitative analysis of simulation and experimental data provided an insightful description of the microstructure evolution of the foams under compression.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"117 ","pages":"Article 106047"},"PeriodicalIF":4.2,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146188092","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}
Mohammad Hossein Nikzad , Mohammad Heidari-Rarani , Negin Sayyaf , Reza Rasti , Larry Lessard
{"title":"Deep reinforcement learning-driven ensemble framework for multi-target prediction of mechanical properties in additively manufactured parts using a small dataset","authors":"Mohammad Hossein Nikzad , Mohammad Heidari-Rarani , Negin Sayyaf , Reza Rasti , Larry Lessard","doi":"10.1016/j.euromechsol.2026.106041","DOIUrl":"10.1016/j.euromechsol.2026.106041","url":null,"abstract":"<div><div>Additive manufacturing of acrylonitrile–butadiene–styrene (ABS) by fused deposition modelling (FDM) enables rapid fabrication but exhibits strong process–property sensitivity, motivating reliable multi-property prediction. Here, an accurate and explainable machine-learning framework is presented for the simultaneous prediction of Young's modulus (E) and ultimate tensile strength (UTS) of FDM-printed ABS. A dataset of 78 experimental data points was compiled from tensile tests, with nozzle temperature (220–250 °C), raster angle (0–90<sup>°</sup>), layer thickness (0.1–0.3 mm), printing speed (20–50 mm/s), and wall count (2–6) as inputs. Eight multi-output regressors were trained, and their hyperparameters were continuously tuned using deep reinforcement learning based on Deep Deterministic Policy Gradient (DDPG), and benchmarked against grid search, random search, and TPE-based Bayesian optimization. DDPG consistently improved generalisation; the best standalone model, XGBoost, achieved a test R<sup>2</sup> of 87.908 % with MAE of 0.269 and RMSE of 0.336. Ensemble learning was then investigated through simple averaging, weighted averaging, and stacking. The simple-average CatBoost–XGBoost ensemble delivered the highest test performance with R<sup>2</sup> of 88.735 %, MAE of 0.252, and RMSE of 0.322. Pairwise Wilcoxon signed-rank testing confirmed the statistical advantage of this ensemble over the leading alternatives. Finally, Shapley Additive Explanation SHAP analysis provided interpretability, identifying raster angle as the dominant driver for E, and wall count together with raster angle as the primary drivers for UTS, while printing speed showed the weakest influence.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"117 ","pages":"Article 106041"},"PeriodicalIF":4.2,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146188174","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":"Analytical and numerical investigation of Stoneley wave scattering by an interfacial delamination in hybrid composites","authors":"Ngoc Quy Hoang , TruongGiang Nguyen , Ductho Le , Haidang Phan","doi":"10.1016/j.euromechsol.2026.106046","DOIUrl":"10.1016/j.euromechsol.2026.106046","url":null,"abstract":"<div><div>This study introduces an analytical framework for investigating the propagation and scattering of Stoneley waves at the interface between two orthotropic elastic half-spaces under harmonic excitation. By applying elastodynamic reciprocity theorems, we derive closed-form solutions for the associated displacement and stress fields and analyze their interactions with interfacial delamination. The proposed formulations enable direct evaluation of wave scattering behavior, providing an efficient and accurate tool for characterizing wave–defect interactions in anisotropic media. The analytical predictions are validated through numerical simulations, demonstrating strong agreement and confirming the applicability of the method across a variety of material configurations. The results extend the potential of nondestructive evaluation (NDE) and structural health monitoring (SHM) by providing a reliable methodology to detect and quantify interfacial defects in composite structures. The developed framework contributes to a deeper understanding of interface wave mechanics and serves as a foundation for practical applications in materials engineering, aerospace, and geomechanics.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"117 ","pages":"Article 106046"},"PeriodicalIF":4.2,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146077633","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":"In-plane mechanical properties of demi-regular lattice materials","authors":"Anastasia Markou, Luc St-Pierre","doi":"10.1016/j.euromechsol.2026.106038","DOIUrl":"10.1016/j.euromechsol.2026.106038","url":null,"abstract":"<div><div>We investigated the potential of demi-regular tessellations to outperform existing prismatic lattice materials, such as the triangular topology. The in-plane mechanical properties of three demi-regular tessellations were derived analytically, and then corroborated by both finite element simulations and experiments. Our analysis showed that these three topologies are elastically isotropic and have a stretching-dominated behaviour. The elastic modulus of these three demi-regular topologies was 5%–20% lower than that of a triangular lattice. Demi-regular lattices, however, had a high elastic buckling strength, up to 42% higher than their triangular counterpart. In addition, two demi-regular lattices were found to be fairly insensitive to imperfections. These characteristics make them ideal topologies for ultra-lightweight applications, where failure is usually governed by elastic buckling.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"117 ","pages":"Article 106038"},"PeriodicalIF":4.2,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146077637","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":"Vibration and stability of two-phase peridynamic Euler-Bernoulli beams under general boundary conditions - Exact and numerical approaches","authors":"Noël Challamel , Ahmad Aftabi-Sani","doi":"10.1016/j.euromechsol.2025.105993","DOIUrl":"10.1016/j.euromechsol.2025.105993","url":null,"abstract":"<div><div>This paper is devoted to the free vibration and buckling analyses of two-phase peridynamic Euler-Bernoulli beams under general boundary conditions. The kernel of the integral peridynamic formulation is chosen in an exponential form, normalized along the finite beam domain. The integro-differential eigenvalue problems (free vibration or buckling analyses in presence of axial load) can be reformulated as a linear sixth-order differential eigenvalue problem associated to six boundary conditions, namely four classical boundary conditions and two additional constitutive peridynamic boundary conditions. These two additional boundary conditions express the local behaviour of the two-phase peridynamic law at the boundaries. Eigen-frequencies and buckling loads are calculated for simply supported, clamped-free, clamped-clamped and clamped-hinge boundary conditions. The transcendental equations for the eigen-frequencies or the buckling loads are explicitly derived for each considered boundary condition. Numerical results obtained by this analytical method are confirmed by two complementary numerical methods, one based on the Rayleigh quotient of the continuous peridynamic problem, and another based on the discretization of the two-phase peridynamic governing equations, through a FDM quadrature approximation. The variational iterative method of Stodola-Vianello is successfully applied to the two-phase peridynamic eigenvalue problems. The paper discusses the order of convergence of each scheme, which depends on the considered adopted numerical method. Finally, the vibration and buckling problems of multi-segmented peridynamic beam and column are analytically and numerically solved, including the connection between a peridynamic segment with a local one.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"117 ","pages":"Article 105993"},"PeriodicalIF":4.2,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145925625","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}
Angelika Cerny , Manuel Hofbauer , Alois C. Ott , Johannes A. Österreicher
{"title":"Quantitative evaluation of the dependence of the Portevin-Le Chatelier effect on temperature and strain rate in an Al–Mg alloy (AA5083-H111): Insights from machine learning","authors":"Angelika Cerny , Manuel Hofbauer , Alois C. Ott , Johannes A. Österreicher","doi":"10.1016/j.euromechsol.2025.105989","DOIUrl":"10.1016/j.euromechsol.2025.105989","url":null,"abstract":"<div><div>Al–Mg alloys, among others, exhibit the Portevin-Le Chatelier (PLC) effect. In addition to serrations in the stress–strain curve, the PLC effect also manifests itself macroscopically as stretcher strain marks on the workpiece. Therefore, it is of particular interest to predict and quantify the appearance of the PLC effect. In this work, a simple method for calculating the PLC effect strength based on stress–strain curves is presented, which can be used to evaluate the appearance of PLC effect serrations. The influence of different strain rates, temperatures, and holding times on PLC effect serrations is demonstrated using a 5083-H111 alloy. To classify PLC effect occurrence, unsupervised clustering was applied to stress–strain data. Additionally, machine learning models, including Gaussian process regression (GPR) and multilayer perceptron (MLP), were employed to predict the PLC effect based on experimental parameters.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"117 ","pages":"Article 105989"},"PeriodicalIF":4.2,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145797710","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":"Impact of hygro-mechanical loading on crack initiation and propagation in orthotropic media: A numerical modeling approach","authors":"Loic Chrislin Nguedjio , Rostand Moutou Pitti , Jérôme Afoutou , Frédéric Dubois , Benoit Blaysat , Pierre Kisito Talla , Naman Recho","doi":"10.1016/j.euromechsol.2025.106011","DOIUrl":"10.1016/j.euromechsol.2025.106011","url":null,"abstract":"<div><div>Moisture content gradients play a crucial role in the mechanics of wood, significantly affecting its properties and overall behavior. Among the adverse effects induced by moisture content variations, crack initiation and propagation remain one of the major challenges in wooden structures. This paper presents an energy-based fracture mechanics approach that relies on the computation of invariant integrals to evaluate fracture parameters in orthotropic materials subjected to moisture content gradients. A new concept of crack initiation is introduced by an algorithm based on the bisection method, which leads to automatic crack propagation under hygro-mechanical loading. The fracture criteria are derived from the energy release rate through a novel formulation of the invariant integral A<span><math><mi>θ</mi></math></span> in a moisture-coupled environment. The path-independence of this newly proposed integral is verified via finite element simulations under mixed-mode loading using the Mixed-Mode Crack Growth (MMCG) specimen. Both analytical and numerical formulations account for the combined effects of mechanical and moisture-induced pressure on the crack lips. The influence of these coupled pressures on crack initiation and propagation in wood under variable moisture content conditions is introduced and discussed. For all fracture modes, the initiation and propagation criteria are obtained through a moisture-driven propagation algorithm, which triggers automatic crack growth when a critical moisture content threshold is reached. The results demonstrate that the developed analytical tool, implemented within a finite element framework provides a reliable determination of the fracture parameters of wood under moisture content variations.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"117 ","pages":"Article 106011"},"PeriodicalIF":4.2,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884233","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}