European Journal of Mechanics A-Solids最新文献

{"title":"An Eshelby inclusion of arbitrary shape in a degenerate orthotropic elastic plane","authors":"Xu Wang ,&nbsp;Peter Schiavone","doi":"10.1016/j.euromechsol.2025.105824","DOIUrl":"10.1016/j.euromechsol.2025.105824","url":null,"abstract":"<div><div>Using Suo's complex variable formulation, we first derive a general solution to the plane problem of an infinite homogeneous degenerate orthotropic elastic plane containing an Eshelby inclusion of arbitrary shape undergoing uniform in-plane eigenstrains. The elastic field within the Eshelby inclusion is identified once the two polynomials representing the principal parts of the remote asymptotic behaviors of two auxiliary functions are determined. We next derive an explicit solution to the problem of an inclusion having an (<em>n</em>+1)-fold axis of quasi-symmetry (with <em>n</em> ≥ 1) in an infinite degenerate orthotropic elastic material. The inclusion boundary has an (<em>n</em>+1)-fold axis of symmetry in the <em>z</em>-plane, where <em>z</em> is the single complex variable appearing in Suo's formulation, and is described by a four-term mapping function. The non-uniform distributions of the total strains and rigid body rotation within the quasi-symmetric inclusion are completely determined. We further prove that when <em>n</em> ≥ 2, <span><math><mrow><mi>n</mi><mo>≠</mo><mn>3</mn></mrow></math></span> the arithmetic mean of the Eshelby tensors at <em>n</em>+1 rotational symmetric points within the inclusion in the <em>z</em>-plane is equal to the constant Eshelby tensor within a special elliptical inclusion, the boundary of which is circular in the <em>z</em>-plane, and that it is independent of the rotation of the inclusion boundary in the <em>z</em>-plane.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"115 ","pages":"Article 105824"},"PeriodicalIF":4.2,"publicationDate":"2025-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144828905","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 crystal plasticity based direct method and its application in predicting the shakedown limit of an additively manufactured AlSi10Mg material","authors":"Shengzhen Xin ,&nbsp;Lele Zhang ,&nbsp;Geng Chen ,&nbsp;Błażej Skoczeń","doi":"10.1016/j.euromechsol.2025.105814","DOIUrl":"10.1016/j.euromechsol.2025.105814","url":null,"abstract":"<div><div>In the framework of Design for Additive Manufacturing (DfAM), it is crucial to establish a connection between microstructures including polycrystals and defects, and the fatigue performance of polycrystalline alloy materials. Although Dang Van has already figured out the relationship between multiscale shakedown and the fatigue strength of the material, and several multiscale direct methods (DM) have been developed and applied to various materials, so far existing DMs mainly focus on von Mises or Drucker-Prager materials and cannot reflect the microstructures of the polycrystals. To this end, in the present paper we developed a crystal plasticity based direct method called CP-DM. The method integrates the lower bound theorem with a rate-independent crystal plasticity constitutive model and it is applied to an exemplary polycrystalline material AlSi10Mg made by laser melting deposition (LMD). After the validity of the method is confirmed by incremental analyses, it is employed to predict the shakedown limits of the material and investigate the influence of pore defects introduced during the manufacturing process using many statistically equivalent representative volume element (SERVE) models. The effectiveness of CP-DM is also examined when considering the kinematic hardening of the LMDed AlSi10Mg material, and the impact of the hardening behavior on strength is investigated. The study shows that the established CP-DM method can be a viable means to predict fatigue limit of the polycrystalline materials and especially metallic materials manufactured by additive manufacturing techniques.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"115 ","pages":"Article 105814"},"PeriodicalIF":4.2,"publicationDate":"2025-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144780012","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":"Influence of heterogeneity on delamination of the solid-electrolyte interphase from silicon anode particles of lithium-ion batteries","authors":"Kartick Manna ,&nbsp;Amit Bhowmick ,&nbsp;Jeevanjyoti Chakraborty","doi":"10.1016/j.euromechsol.2025.105803","DOIUrl":"10.1016/j.euromechsol.2025.105803","url":null,"abstract":"<div><div>A finite deformation framework is employed to investigate the possibility of delamination of the solid electrolyte interphase (SEI) layer from a hollow cylindrical silicon (Si) anode particle during lithiation, accounting for SEI heterogeneity and mechanical deformation. The model includes a bilayer heterogeneous SEI with pre-existing cracks, situated on the outer surface of a fixed and axially constrained Si cylinder. Diffusion-induced stresses are investigated, together with plastic deformation of the active material and the SEI. Parametric studies are performed by varying SEI thickness, active material thickness, SEI heterogeneity, the mechanical and geometric properties of the organic and inorganic SEI layers, and the number of cracks. The results reveal that the presence of SEI heterogeneity raises the critical state of charge (SOC) required for delamination, thereby enhancing mechanical resilience. Plastic deformation delays the onset of failure by facilitating stress relaxation within the anode. A comparison between one-way and two-way coupling cases highlights the importance of feedback mechanisms in accurately capturing interfacial failure. The proposed modeling approach offers insights into improved design of artificial SEI layers that is expected to contribute toward the development of lithium-ion batteries.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"115 ","pages":"Article 105803"},"PeriodicalIF":4.2,"publicationDate":"2025-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144780011","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":"Overcoming limitations of electrostatic bow snap-through in bistable microbeams via prestress tuning","authors":"Lior Medina","doi":"10.1016/j.euromechsol.2025.105802","DOIUrl":"10.1016/j.euromechsol.2025.105802","url":null,"abstract":"<div><div>A curved bistable microbeam subjected to electrostatic loading from an electrode facing its concave side may exhibit a bow snap-through (<span><math><mrow><mi>B</mi><mi>S</mi><mi>T</mi></mrow></math></span>) response, depending on the applied voltage, initial conditions, and beam geometry. However, for stress-free microbeams, achieving <span><math><mrow><mi>B</mi><mi>S</mi><mi>T</mi></mrow></math></span> has been shown to be quite challenging, since the conditions required for a successful actuation are limited. In the present work, <span><math><mrow><mi>B</mi><mi>S</mi><mi>T</mi></mrow></math></span> is studied in the presence of prestress, enabling the development of expanded necessary conditions and upper bounds for <span><math><mrow><mi>B</mi><mi>S</mi><mi>T</mi></mrow></math></span>. The conditions are derived using an undamped, single-degree-of-freedom (DoF) reduced-order (RO) model, obtained via Galerkin’s decomposition. Subsequent analysis of the acquired conditions reveals that the introduction of prestress can be leveraged to tune the behaviour of a microbeam and overcome the constraints inherent to the stress-free beam. More specifically, it is shown that compressive prestress can increase the design-initial conditions space where <span><math><mrow><mi>B</mi><mi>S</mi><mi>T</mi></mrow></math></span> can be achieved, facilitating a controlled equilibrium shift in bistable structures via bow actuation. These new insights and conditions provide practical guidelines for both researchers and engineers in designing and tuning microbeams using prestress, thus overcoming the limitations of a stress-free beam and obtain a successful <span><math><mrow><mi>B</mi><mi>S</mi><mi>T</mi></mrow></math></span>, supporting the development of efficient, nonvolatile, and low-power bistable devices.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"115 ","pages":"Article 105802"},"PeriodicalIF":4.2,"publicationDate":"2025-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144739383","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 nonlocal variational principle for the converse flexoelectric effect based on simplified strain gradient elasticity","authors":"A.R. El-Dhaba","doi":"10.1016/j.euromechsol.2025.105817","DOIUrl":"10.1016/j.euromechsol.2025.105817","url":null,"abstract":"<div><div>In this paper, we investigate how displacement variations affect electrical internal state variables, including polarization, polarization gradients, and the electric field. Our analysis is based on a hypothesis initially proposed by Stratton and later refined by Landau and Lifshitz. We focus on <strong>the converse flexoelectric effect</strong> in isotropic elastic dielectric materials within the framework of the simplified strain gradient theory of elasticity. This approach, combined with the variational principle applied to the strain energy functional and the virtual work of external forces, introduces nonlinearity into the equation of motion for the mathematical model, while the electrostatic equations governing polarization and its gradient remain linear. The direct solution method cannot obtain an analytical solution in the presence of nonlinearity; therefore, we turn to the exponential reductive perturbation method (ERPT) to obtain hierarchical solutions for the problem. Three cases will be analyzed, comparing the lattice parameter of the internal structure of STO with the length scale parameter used in the mathematical model. The results will be plotted and discussed in detail.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"115 ","pages":"Article 105817"},"PeriodicalIF":4.2,"publicationDate":"2025-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144739304","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":"Multiaxial fatigue life prediction of notched components considering normal and shear energy gradient","authors":"Jumei Lu ,&nbsp;Wen Liu ,&nbsp;Jianhui Liu ,&nbsp;Youtang Li ,&nbsp;Shengchuan Wu","doi":"10.1016/j.euromechsol.2025.105812","DOIUrl":"10.1016/j.euromechsol.2025.105812","url":null,"abstract":"<div><div>Theory of critical distance (TCD) is a simple and reliable evaluation criterion. In view of the fact that the model based on energy parameters can take both stress and strain responses into account, the energy-based TCD is constructed. Meanwhile, the modified energy gradient is used to characterize the notch geometric feature effect, which integrates the notch effect and the geometric size effect. The normal/shear energy gradient is employed to correct normal/shear critical distance, and a novel approach for calculating equivalent strain energy density is presented. The critical plane gradient ratio is defined to depict the effect of shear energy and normal energy on fatigue damage. As to the analysis above, an energy-based TCD and prediction procedure of notched components are developed. The fatigue test of Q355(D) is carried out, and the existing test data of materials (En8 steel, En3B steel, C40 steel, TC4 alloy, 7050-T7451 alloy) are selected to verify the proposed model. The calculation results of the energy-TCD approach (point method and line method) are compared with other typical energy-based models (SWT model, MSWT model, Liu model, CXH model), and the proposed model obtained better precision.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"115 ","pages":"Article 105812"},"PeriodicalIF":4.2,"publicationDate":"2025-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144722721","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":"High-speed penetration of ultra-high molecular weight polyethylene plates: Experiments and modeling","authors":"Z.Y. Liu ,&nbsp;Y.L. Bian ,&nbsp;Y. Cai ,&nbsp;N. Wang ,&nbsp;W.Z. Wang ,&nbsp;B.X. Bie ,&nbsp;B. Li ,&nbsp;J.Y. Hua ,&nbsp;S.N. Luo","doi":"10.1016/j.euromechsol.2025.105783","DOIUrl":"10.1016/j.euromechsol.2025.105783","url":null,"abstract":"<div><div>High-speed penetration of ultra-high molecular weight polyethylene (UHMWPE) plates is investigated experimentally and numerically. Ballistic tests are conducted on a single stage gas gun with high-speed imaging for spherical projectiles with different diameters (1, 2 and 3 mm) and impact velocities (<span><math><mo>∼</mo></math></span>100, 200, 300 and 400 m<!--> <!-->s⁻¹). Scanning electron micrography on bullet craters reveals multiple deformation and damage modes of UHMWPE, including wearing, shearing, melting, compression and spallation. We develop a constitutive model for UHMWPE based on unaxial compression tests in a wide range of temperatures and strain rates. The finite element method simulations reproduce the experiments, and reveal a linear relation between penetration resistance and instantaneous projectile velocity. A non-dimensional model is proposed to predict the penetration depth for different projectile diameters and impact velocities.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"115 ","pages":"Article 105783"},"PeriodicalIF":4.2,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144771240","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 dynamic analysis and optimization of sandwich plate and shell panels with auxetic core and functionally graded Zr-MgO/Al facesheets","authors":"Krishan Kumar Gupta,&nbsp;S. Pradyumna","doi":"10.1016/j.euromechsol.2025.105788","DOIUrl":"10.1016/j.euromechsol.2025.105788","url":null,"abstract":"<div><div>In the present investigation, the geometric parameters (rib thickness, inclined cell angle, vertical cell rib length, and inclined cell rib length) of auxetic honeycomb core and material parameters (volume fraction coefficient) of the functionally graded Zr-MgO/Al facesheets of the sandwich plate and shell panels are optimized for the first time. The dynamic analysis is carried out considering a higher-order shear deformation theory and employing a <span><math><msub><mrow><mi>C</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> eight-noded isoparametric element with nine degrees of freedom per node. The material properties of the functionally graded material (FGM) facesheets are graded in the thickness direction according to a basic power law distribution in terms of the volume fractions of the constituents. The artificial bee colony algorithm is used to optimize volume fraction coefficient and different parameters of the auxetic core of the sandwich panel. The mechanical properties of the original material and the geometrical features of the unit cells are used to determine the mechanical properties of the auxetic core. The equivalent elastic parameters and density of facesheets are obtained using two micromechanical models i.e., rule of mixture (RM) and Mori–Tanaka (MT) methods. The analysis is further extended to nonlinear vibration analysis of FGM sandwich plate and shell panels. Geometrical nonlinearity is taken into consideration using the von Kármán type nonlinear strain–displacement equations.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"115 ","pages":"Article 105788"},"PeriodicalIF":4.4,"publicationDate":"2025-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144704259","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":"Efficient dynamic modeling and real-time control of the planar variable-length hard-magnetic concentric tube robots","authors":"Zheng Chen,&nbsp;Hui Ren,&nbsp;Ping Zhou,&nbsp;Wei Fan","doi":"10.1016/j.euromechsol.2025.105816","DOIUrl":"10.1016/j.euromechsol.2025.105816","url":null,"abstract":"<div><div>Recently, emerging hard-magnetic concentric tube robots (HMCTR) have shown great potential in applications such as tumor-ablation surgery. However, their development is greatly limited by complex dynamics due to geometric nonlinearity from large deformations, time-varying free segment lengths, and the complexity of magnetoelastic behavior, which also makes real-time, accurate control difficult. In this work, an efficient modeling and nonlinear model predictive control (NMPC) framework is proposed for the planar variable-length HMCTRs. An efficient global angular parameterization method (GAPM) is first developed, which features pre-integrable and concise inertial forces and accurately captures the large deformations of continuum robots using only a small number of degrees of freedom. A nonlinear model predictive control (NMPC) scheme that explicitly enforces actuator limits, measurement disturbances, and minimum safety-distance constraints. Simulation results demonstrate robust trajectory tracking and safe-distance navigation under both uniform and non-uniform magnetic fields, with near-real-time performance. These findings underscore the framework's computational efficiency and control accuracy, highlighting its potential for clinical translation in HMCTR navigation and tracking.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"115 ","pages":"Article 105816"},"PeriodicalIF":4.2,"publicationDate":"2025-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144722618","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":"The Johnson and Cook damage and flow stress model parameters of a rolled stainless steel 304 alloy","authors":"İbrahim Berk Akdoğan ,&nbsp;Kemal Davut ,&nbsp;Mustafa Güden ,&nbsp;Hacer İrem Erten ,&nbsp;Alper Taşdemirci ,&nbsp;Farshid Khosravi Maleki ,&nbsp;Mustafa Sabri Gök","doi":"10.1016/j.euromechsol.2025.105805","DOIUrl":"10.1016/j.euromechsol.2025.105805","url":null,"abstract":"<div><div>Previous studies on stainless steel 304 alloy (SS 304) have mostly focused on the stress-strain behavior as function of the volume fraction of deformation induced martensite and the applied strain and strain rate. Although equally important, the failure/fracture of this alloy has not been thoroughly investigated so far. In the present study, the Johnson and Cook (JC) damage model parameters of a rolled-SS 304 alloy, valid at a high strain rate (2900 s⁻¹), were experimentally determined and numerically validated along with the JC flow stress parameters. The tensile failure strain of the alloy decreased as the strain rate increased from 10⁻³ to 10⁻¹ s⁻¹ and to 2900 s⁻¹. Experimentally lower flow stresses at 2900 s⁻¹ than at 1x10⁻³ s⁻¹ were also found at the strains above 0.2, which was attributed to the adiabatic heating that declined the extend of the martensitic transformation at increasing strains. The determined damage and flow stress model parameters were further calibrated with the results of the numerical models of the quasi-static and high strain rate tension tests. Microscopic analyses and the hardness measurements on the untested and tested specimens confirmed the martensitic transformation and the highest hardness values were found in the specimens tested at 1x10⁻³ s⁻¹. The martensite volume fraction as function strain rate until about necking strain (homogeneous deformation) was calculated and also microscopically determined using the electron back-scatter diffraction (EBSD) for the specimens tested at different strain rates. The results indicated the highest martensite volume fraction in the specimens tested at 10⁻³ s⁻¹ (0.55–0.6) and the lowest in the specimens tested at the high strain rate (0.27–0.30). An agreement between the calculated and the EBSD determined martensite volume fractions was shown for the studied alloy.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"115 ","pages":"Article 105805"},"PeriodicalIF":4.2,"publicationDate":"2025-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144722600","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}