European Journal of Mechanics A-Solids最新文献

{"title":"Surface and nonlocal effects in piezoelectric nanobeams","authors":"Rosa Penna,&nbsp;Giuseppe Lovisi","doi":"10.1016/j.euromechsol.2025.105715","DOIUrl":"10.1016/j.euromechsol.2025.105715","url":null,"abstract":"<div><div>This study investigates the electromechanical behavior of piezoelectric nanobeams using a nonlocal surface stress-driven elasticity model. The governing equations are derived through Hamilton's principle. The effects of the nonlocal parameter, external electric voltage and surface energy on the static and dynamic responses of Simply-Supported and Clamped-Clamped piezoelectric nanobeams are analyzed and discussed. The findings demonstrate how the proposed approach can aid in the development of advanced devices based on modern piezoelectric nanobeams.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"113 ","pages":"Article 105715"},"PeriodicalIF":4.4,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144069211","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 smart energy harvester with Arc-type auxetic cellular core","authors":"Farzad Ebrahimi,&nbsp;Mahdi Parsi","doi":"10.1016/j.euromechsol.2025.105716","DOIUrl":"10.1016/j.euromechsol.2025.105716","url":null,"abstract":"<div><div>The objective of this work is to suggest a novel vibration-based bimorph beam energy harvester, which consists of multipurpose magneto-electro-elastic (MEE) face sheets and an Arc-type auxetic core. The Arc-type auxetic material is derived from the conventional 2D Re-entrant auxetic core and has a bending construction, enabling a seamless transition of the cell parts. This alteration is particularly efficient in reducing stress concentration. The frequency response functions (FRF), accounting for parallel and series setups of the active MEE layers, are computed by a distributive parameter concept to assess the harvester's outcome. The cumulative impact of the negative Poisson's ratio of Arc-type meta-structures, alongside material properties, geometric factors, and characteristics including the count of turns and resistances, is examined. The output variables reach their maximum values with greater auxetic core inclination angles, reduced circular arc radius, and higher cell rib thickness. A comparison analysis demonstrates that, under equivalent operating circumstances, the total power output of the Arc-type auxetic energy harvester exceeds those of the traditional auxetic core by about 7 % and surpass those of aluminum energy harvesters by 127 %. Additionally, the Arc-type auxetic harvester demonstrated a 24 % reduction in weight while achieving the same power output as the traditional aluminum harvester. This facilitates the streamlined development of low-capacity smart systems with improved performance. The findings of this paper are expected to inspire additional investigations into the use of multipurpose composites and metamaterials in intricate engineering processes.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"113 ","pages":"Article 105716"},"PeriodicalIF":4.4,"publicationDate":"2025-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143934883","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":"Multi-scale fracture mechanism of fractured rock based on novel composite phase field model considering heterogeneity","authors":"Qingqing Shen ,&nbsp;Lvlin Xiang ,&nbsp;Qiyun Wang ,&nbsp;Jiajun Zeng ,&nbsp;Wei Yi","doi":"10.1016/j.euromechsol.2025.105714","DOIUrl":"10.1016/j.euromechsol.2025.105714","url":null,"abstract":"<div><div>In this paper, by decomposing the total elastic strain energy into volumetric elastic strain energy and deviatoric elastic strain energy, and introducing the dissipation factor into the energy control equation, combined with Weibull distribution function, a composite phase field model considering material heterogeneity is established. The impact of heterogeneity on the stress field and crack propagation trajectory is examined using elastic modulus as a case and the model's results is compared with the previous numerical solution. Based on the numerical simulation, uniaxial compression test and scanning electron microscopy test of red sandstone samples with non-parallel three cracks, combined with the prediction results of multiple cracks fracture criterion, the corresponding relationship between macro and micro fracture modes is established and the deformation and failure mechanism of fractured rock mass at multiple scales (from macro to micro) is analyzed. Results showed: with the increase of heterogeneity, the crack propagation length becomes longer and longer, indicating that the heterogeneity hinders the crack propagation. As the crack relative angle increases, the crack initiation stress first rises and then falls, and the peak stress first falls and then rises. When uniaxial compression is applied to red sandstone with three non-parallel cracks, the middle crack always starts first, followed by the upper and lower cracks. The model's dependability was confirmed by the simulated trajectories' agreement with the previous simulation solution and experimental findings.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"113 ","pages":"Article 105714"},"PeriodicalIF":4.4,"publicationDate":"2025-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143923582","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 geometrically necessary dislocation and deformation behavior analysis during creep of P91 steel","authors":"Kai Zhang,&nbsp;Xinbao Liu,&nbsp;Lin Zhu","doi":"10.1016/j.euromechsol.2025.105711","DOIUrl":"10.1016/j.euromechsol.2025.105711","url":null,"abstract":"<div><div>In this study, the crystal orientation gradient by finite element method (COGFEM) was used to quantitatively characterize the geometrically necessary dislocations (GNDs) of crept P91 steel. Meanwhile, the creep deformation behavior of P91 steel was investigated based on the resultant densities of GNDs. Firstly, the datasets of electron backscatter diffraction (EBSD) were acquired from a series of crept P91 specimens at 873 K and 165 MPa. Subsequently, the COGFEM with twenty-eight slip systems of edge and screw dislocations was employed to calculate the GND density during the creep of P91 steel. The obtained results showed that the GND density significantly increased during the initial creep stage and reached the maximum at the transition from initial creep to steady creep. Besides, the density of edge-type GNDs accounted for a large proportion (over 93.5 % of the total GND density) in contrast to that of screw-type GNDs (approximately 6.5 % of the total GND density). In addition, it further indicated that the activation of the (112) &lt;111&gt; slip systems is preferred during the elevated-temperature creep of P91 steel. Accordingly, these results suggested that the variation trend of GND density calculated by COGFEM provides a potential approach to assess the elevated-temperature creep state of P91 steel.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"113 ","pages":"Article 105711"},"PeriodicalIF":4.4,"publicationDate":"2025-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143923478","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-frequency mechanical impedance of rubber mounts: Experimental characterization and resonance mechanisms","authors":"María-José García-Tárrago ,&nbsp;José Calaf-Chica ,&nbsp;Francisco-Javier Gómez-Gil","doi":"10.1016/j.euromechsol.2025.105677","DOIUrl":"10.1016/j.euromechsol.2025.105677","url":null,"abstract":"<div><div>The characterization of the dynamic behavior of rubber anti-vibration mounts in electric motor systems is crucial for optimizing the vibro-acoustic performance of electric vehicle interiors. The transition to electric propulsion has revealed new high-frequency vibration sources (up to 3 kHz), including electromagnetic harmonics from motor commutation. Addressing these vibrations is essential to improve passenger comfort and promote the adoption of electric vehicles. This study presents an in-depth investigation into the dynamic response of cylindrical rubber mounts, employing a custom-designed test rig capable of evaluating performance up to 3 kHz. The experimental setup follows the UNE-EN ISO 10846 standard to ensure accurate measurements of vibro-acoustic transfer properties. To minimize high-frequency transmission through the test bench structure, a seismic mass serves as a decoupling element and stable reference. Force sensors are integrated into the seismic mass, ensuring that measured forces correspond solely to those applied to the rubber specimen, thus isolating the results from structural influences. The experimental findings reveal significant deviations in both the mechanical impedance modulus and the offset angle compared to behaviors observed at lower frequencies, which have been the primary focus of previous studies on vehicles with internal combustion engines. At low frequencies, stiffness-dominated behavior prevails; however, at higher frequencies, inertial effects and wave propagation phenomena become significant, altering the stiffness modulus curve and leading to the appearance of a peak characteristic of a resonance frequency. High-frequency responses are further analyzed through implicit harmonic analysis using advanced finite element modeling techniques. The experimental results are validated through this analysis, as the frequency at which the observed peak occurs coincides with a resonance frequency of the component identified in the harmonic analysis. Furthermore, this research demonstrates that these resonances, along with wave propagation effects, contribute to a complex deformation field, potentially accelerating material degradation and failure, addressing the importance of optimizing the design of these components to enhance their durability and performance.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"113 ","pages":"Article 105677"},"PeriodicalIF":4.4,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143912415","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":"Void growth in the lithium anode of a solid state battery","authors":"Ashley M. Roach ,&nbsp;Wenqing Zhu ,&nbsp;Sundeep Vema ,&nbsp;Robert M. McMeeking ,&nbsp;Clare P. Grey ,&nbsp;Vikram S. Deshpande ,&nbsp;Norman A. Fleck","doi":"10.1016/j.euromechsol.2025.105710","DOIUrl":"10.1016/j.euromechsol.2025.105710","url":null,"abstract":"<div><div>It has been conjectured that the growth of voids within the Li anode of a solid state battery promotes dendrites within the ceramic electrolyte and resists Li transport into the electrolyte. We explore experimentally the evolution of a pre-existing void within the Li anode of a solid state battery resulting from its stack pressure and/or a superposed electrical current. The battery comprises Li electrodes and an electrolyte made from Ta-doped lithium lanthanum zirconate (Li/LLZO/Li). A circular cylindrical void was generated within the Li layer and adjacent to the LLZO interface by withdrawing a niobium wire of diameter 200 μm from the Li layer prior to testing. The sensitivity of void collapse to applied pressure was determined by varying the radius to height of the Li pancake-layer and by varying the applied load. The evolution of specimen height with time and the closure rate of the voids are consistent with power law creep of the Li. An additional set of experiments was performed whereby the Li migrated into the LLZO substrate by imposition of a constant electrical current. It was found that the void shrinks at a rate consistent with migration of the Li layer into the LLZO, with negligible flux focussing in the vicinity of the void. The study has direct relevance to the effect of stack pressure and battery operation upon void evolution in a solid state Li battery.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"113 ","pages":"Article 105710"},"PeriodicalIF":4.4,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143928620","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 behaviors of star honeycombs with symmetry-broken lattices","authors":"Amin Montazeri ,&nbsp;Iman Ahmadian ,&nbsp;Ehsan Bahmanpour ,&nbsp;Amirhossein Saeedi ,&nbsp;Majid Safarabadi","doi":"10.1016/j.euromechsol.2025.105709","DOIUrl":"10.1016/j.euromechsol.2025.105709","url":null,"abstract":"<div><div>This study investigates the in-plane compression and flexural performance of star-shaped honeycomb metamaterials, focusing on conventional symmetric and novel symmetry-broken designs. The mechanical behavior of these metamaterials under compressive and bending loads was examined through a combination of experimental tests and finite element simulations. Stress-strain curves, deformation mechanisms, and energy absorption properties were analyzed to compare the benchmark honeycomb structure with the proposed single (SSS) and double (DSS) symmetry-broken models. Results show that both SSS and DSS models outperform the conventional star design in specific energy absorption (SEA) and effective Young's modulus (E_e) during compression, with DSS exhibiting 68.8 % higher E_e and SSS achieving 35.6 % higher SEA at 0.5 strain. Under flexural loading, the SSS design surpassed the conventional structure by approximately 26.8 % in SEA at 40 mm deflection. Additionally, the study explores the impact of different assembly mechanisms, including interspaced array and chiral vertex configurations, on compressive performance. It was found that assembly patterns significantly affect the load distribution and energy absorption of the metamaterials. Under out-of-plane compression, DSS and SSS honeycombs showed 19.73 % and 19.16 % higher SEA at 0.3 strain, respectively. Furthermore, the DSS design demonstrated 21.43 % greater SEA under out-of-plane bending compared to the benchmark. The SSS design, particularly when using interspaced array or chiral vertex assemblies, demonstrated superior SEA and structural stability compared to the benchmark and DSS models. This research highlights the potential of symmetry-broken honeycomb structures for applications requiring enhanced mechanical performance and energy absorption.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"113 ","pages":"Article 105709"},"PeriodicalIF":4.4,"publicationDate":"2025-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143912451","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":"Unsteady thermoelastic-diffusive vibrations of a Bernoulli-Euler beam on an elastic foundation","authors":"Andrei V. Zemskov ,&nbsp;Le Van Hao","doi":"10.1016/j.euromechsol.2025.105707","DOIUrl":"10.1016/j.euromechsol.2025.105707","url":null,"abstract":"<div><div>This paper addresses the problem of unsteady vibrations of a Bernoulli–Euler beam, taking into account the relaxation effects in thermal and diffusion processes. The original mathematical model comprises a system of equations describing unsteady bending vibrations, incorporating both heat and mass transfer. These equations are derived from the general model of thermoelastic diffusion in a continuum, using the variational D'Alembert principle. As an example, a simply supported three-component beam composed of an alloy of zinc, copper, and aluminum is considered. The interaction among the mechanical, thermal, and diffusion fields in the beam is investigated under a mechanical load distributed along its length. The influence of relaxation effects on the kinetics of heat and mass transfer is analyzed. The solution is presented both in analytical form and as spatiotemporal 3D graphs of displacement, temperature increment, and concentration increment fields.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"113 ","pages":"Article 105707"},"PeriodicalIF":4.4,"publicationDate":"2025-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143928622","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":"Computational analysis of limit point instability in circular magnetoelastic membranes","authors":"Awantika Mishra,&nbsp;Aquib Ahmad Siddiqui,&nbsp;Sushma Santapuri","doi":"10.1016/j.euromechsol.2025.105686","DOIUrl":"10.1016/j.euromechsol.2025.105686","url":null,"abstract":"<div><div>Membranes made of soft materials are prone to limit point instability, characterized by a loss of monotonicity in pressure-deflection relationship. In soft active materials that respond to external fields (e.g. magneto-/electro-elastic materials), onset of this instability can be controlled using the external field. In this work, limit point instability in magnetoelastic circular membranes is analyzed in the presence of magnetic field and transverse pressure. Forces and deformation in the membrane are studied for a weakly magnetizable material medium under axisymmetric loading and transverse magnetic field while incorporating material nonlinearity, Maxwell stress, and pre-stretch effects. An <span><math><mi>h</mi></math></span>-order membrane theory is presented and the resulting nonlinear system of ordinary differential equations are solved using a boundary value problem (BVP) solver in MATLAB. BVP solvers are prone to convergence issues for nonlinear problems and exhibit a high sensitivity to the initial guesses, particularly in the unstable regime. An iterative computational scheme is proposed here to alleviate this issue by improving the initial guesses provided to the solver. The results are validated with existing literature for special cases and several parametric studies are performed to understand the response of a magnetoelastic membrane actuator under combined magnetomechanical loading. Improved convergence for a wide range of input values is observed, allowing a more comprehensive study of soft magnetoelastic membrane actuators. The computational framework presented in this work can be applied towards device design in soft robotics.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"113 ","pages":"Article 105686"},"PeriodicalIF":4.4,"publicationDate":"2025-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143928621","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 FFT-based numerical scheme for the transient conductivity of heterogeneous materials with non-periodic boundary conditions","authors":"Abdoul Magid Amadou Sanoko ,&nbsp;Simon Essongue ,&nbsp;Lionel Gélébart ,&nbsp;Lucas Lapostolle ,&nbsp;Léo Morin ,&nbsp;Joseph Paux","doi":"10.1016/j.euromechsol.2025.105680","DOIUrl":"10.1016/j.euromechsol.2025.105680","url":null,"abstract":"<div><div>The aim of this work is to develop FFT-based solvers for transient diffusion in heterogeneous materials subjected to non-periodic (Dirichlet/Neumann) boundary conditions. We focus on a problem of thermal conductivity and derive a theta-method which includes an implicit solver for transient thermal conductivity in heterogeneous materials. The method is based on a fixed-point iterative solution of an auxiliary problem obtained by a Galerkin discretization using an approximation space based on mixed sine–cosine series. The solution field is decomposed as a known term verifying the boundary conditions and a fluctuation (unknown) term described by appropriate sine–cosine series. The solution of the auxiliary problem involves discrete sine–cosine transforms, of type I and III, which makes the solver rely on the computational complexity of fast Fourier transforms. The method is applied to the prediction of transient thermal fields in a composite material subjected to non periodic boundary conditions.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"113 ","pages":"Article 105680"},"PeriodicalIF":4.4,"publicationDate":"2025-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143916463","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}