European Journal of Mechanics A-Solids最新文献

{"title":"Design and mechanics of stackable auxetic S-shaped structures","authors":"Celia Rufo-Martín ,&nbsp;Diego Infante-García ,&nbsp;José Díaz-Álvarez ,&nbsp;María Henar Miguélez ,&nbsp;George Youssef","doi":"10.1016/j.euromechsol.2025.105874","DOIUrl":"10.1016/j.euromechsol.2025.105874","url":null,"abstract":"<div><div>The emerging auxetic lattices, driven by contemporary advancements in additive manufacturing, have garnered significant attention, with an emphasis on improving structural performance and energy absorption efficiencies while mitigating the contributions of material nonlinearities and instabilities. This research advances the state of the art of thin-strut auxetic structures by introducing a stacking schema to realize 3D S-shaped polystructures with rigid-body motion-dominated deformation, spatial symmetry, and persistent auxeticity. Several generations of these polystructures were 3D printed using vat photopolymerization with varying strut thickness ranging from 1 mm to 3 mm. The additively manufactured structures were mechanically tested under quasi-static and impact loading scenarios, providing physical evidence for the foreseen structural behaviors discussed above. The polystructures yielded load-bearing-to-mass ratios of 4.6 kN/kg, 7.6 kN/kg, and 12.3 kN/kg for <em>t1</em>, <em>t2,</em> and <em>t3</em>, respectively, with less than 10 g of weight, a result of the rigid body motion and the asymmetric rotation of the polystructure beams. Additionally, the impact response highlighted a structure-to-material transition, resulting in similar force maxima for <em>t1</em> and <em>t2</em>, with 9 and 10 N (structure-dominated), whereas <em>t3</em> reported a force of up to 49 N (material-dominated). However, irrespective of the strut thickness, the negative Poisson's ratio remained nearly unchanged (−0.22 ± 0.02), exemplifying the importance of the structural mechanics substantiated by the specific topological design of S-shaped unit cells. The research findings paved the way for the translational potential of S-shaped polystructures in practical applications for mitigating impact, including civilian and military loading conditions.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"116 ","pages":"Article 105874"},"PeriodicalIF":4.2,"publicationDate":"2025-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145096729","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 applicability of nonlocal shear deformation theory and scale parameters for guided wave propagation in nanoplates","authors":"Chuang Yang ,&nbsp;Jiangong Yu ,&nbsp;Cancan Liu ,&nbsp;Bo Zhang ,&nbsp;Lahoucine Elmaimouni","doi":"10.1016/j.euromechsol.2025.105872","DOIUrl":"10.1016/j.euromechsol.2025.105872","url":null,"abstract":"<div><div>This paper aims to explore the applicability of the Kirchhoff plate, Mindlin plate, second-order shear deformation plate, and third-order shear deformation plate models in predicting and explaining the micro/nanoscale structures of wave behavior in the context of nonlocal elasticity theory. Based on the molecular dynamics simulation results, the nonlocal parameters of shear deformation plate models and three-dimensional plate models are calibrated by neural network and root mean square error. The research results show that the results of molecular dynamics simulation are very consistent with the solution of the three-dimensional plate model with the calibrated nonlocal parameters, which are 0.0762 nm and 0.0776 nm for A0 and S0 modes of the Lamb wave, 0.1825 nm and 0.174 nm for SH0 and SH1 modes of the SH wave. Due to the more complex atomic vibrations involved in the propagation of Lamb waves compared to SH waves, the difference in nonlocal parameters between A0 and S0 modes is significantly larger than that between SH1 and SH0 modes. Furthermore, the simplified plate model exhibits larger nonlocal parameter values for A0 and S0 modes compared to the three-dimensional plate model. For the simplified model with calibrated nonlocal parameters, its Lamb wave solutions are consistent with the results of molecular dynamics at low dispersion regions, while the error is larger at severe dispersion regions. Conversely, the results of SH waves and molecular dynamics always show good consistency. Based on a comprehensive consideration of the scope of the application, the most suitable model can be selected within the allowable range of errors to describe and analyze the wave behavior of a specific structure within a certain frequency range.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"116 ","pages":"Article 105872"},"PeriodicalIF":4.2,"publicationDate":"2025-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145096727","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":"Study on the flutter inhibition of honeycomb plates in porous flexible phononic crystal","authors":"Zhiyu Ma ,&nbsp;Yang Xu ,&nbsp;Yujia Xu ,&nbsp;Xianbo Yin ,&nbsp;Yong Zhao","doi":"10.1016/j.euromechsol.2025.105876","DOIUrl":"10.1016/j.euromechsol.2025.105876","url":null,"abstract":"<div><div>The flutter generated by satellite disturbance equipment seriously affects the accuracy and communication rate of satellite precision equipment. Among them, the momentum wheel that contributes a lot, the flutter disturbance is concentrated in the frequency ranges of 0∼30 Hz and 220–270 Hz. This paper innovatively fills the local resonance unit composed of flexible materials into the honeycomb holes of the honeycomb sandwich plate, and designs a porous flexible phononic crystal (PFPC) to suppress the flutter signal generated by the momentum wheel. First, a theoretical model of PFPC was established, and the band gap characteristics and vibration-damping mechanism of PFPC were analyzed in detail based on the theoretical model method and the finite element method. The results show that PFPC can form a complete band gap within the target frequency range of 220.6–277.1 Hz, and drilling holes in the cladding layer and scattering body of PFPC can achieve adjustment of the band gap range and width. Compared with the transmission losses of satellite cabin plates, porous flexible phononic crystal honeycomb plates (PFPC-HCP) and porous flexible phononic crystal honeycomb plates without mounting pressing seats (PFPC-HCP WCS), PFPC-HCP showed significant flutter suppression in two frequency ranges. Installing the compression seats reduced the flutter suppression performance of PFPC-HCP, but it still maintained excellent flutter suppression performance. Comparing the transmission loss between silicone rubber blocks and aluminum alloy blocks, the improvement of flutter suppression performance of filled silicone rubber is verified. The PFPC-HCP proposed in this paper integrates the vibration-absorbing characteristics of phononic crystal, honeycomb structures, and flexible materials, and broadens the application potential of phononic crystal in satellite flutter suppression.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"116 ","pages":"Article 105876"},"PeriodicalIF":4.2,"publicationDate":"2025-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145096734","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":"Investigation of thermoelastic response in porous materials with memory effects under ramp-type heating using dual phase lag theory","authors":"Somnath Nandi ,&nbsp;Subhadip Karmakar ,&nbsp;Abhijit Lahiri ,&nbsp;Smita Pal Sarkar","doi":"10.1016/j.euromechsol.2025.105871","DOIUrl":"10.1016/j.euromechsol.2025.105871","url":null,"abstract":"<div><div>The main aim of this article is to investigate the memory effect in an isotropic porous medium within the dual-phase-lag (DPL) model under transient conditions induced by ramp-type heating. The model captures the influence of thermo-mechanical memory effects through memory-dependent derivative (MDD) and addresses the complexities arising from voids within the material. To solve the governing equations, joint Fourier–Laplace transform is applied to derive the field variables in the transformed domain. The numerical inversion of these transforms is carried out using the Stehfest method along with a Gaussian quadrature method. The graphical results illustrate the influence of the ramp-type heating parameter, different model variations, and the kernel function on the spatial distribution along the considered variable. Additionally, 3D figures corresponding to the displacement components, stress components, volume fraction, and temperature are included in our study.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"116 ","pages":"Article 105871"},"PeriodicalIF":4.2,"publicationDate":"2025-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145096726","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":"Tunable energy absorption of pyramid-stacked negative stiffness metastructure","authors":"Wenzheng Zhang ,&nbsp;Honggang Zhao ,&nbsp;Qiduo Jin ,&nbsp;Yao Sun ,&nbsp;Zhenkai Yin ,&nbsp;Qian Cheng ,&nbsp;Xuguang Chen","doi":"10.1016/j.euromechsol.2025.105869","DOIUrl":"10.1016/j.euromechsol.2025.105869","url":null,"abstract":"<div><div>Negative stiffness (NS) metastructures provide a new mechanism for energy absorption. This work proposes a pyramid-stacked negative stiffness (PNS) metastructure to achieve energy absorption tunability and improvement in micro level. The finite element method (FEM) is employed to analyze the energy absorption characteristics of PNS metastructures. The accuracy of the FE model is validated through the quasi-static loading experiment. The deformation pattern of the unit cell of PNS metastructure can be tuned from symmetric to anti-symmetric with increasing apex height, which is verified by natural vibration modes and compression experiments. The pyramid-stacked design significantly enhances the energy absorption capacity of conventional NS curved beam structures, exhibiting 14.6 % and 21.2 % improvements in energy absorption under coupled symmetric and anti-symmetric deformation patterns, respectively. Through deformation pattern and parametric analysis, multiple controlled deformation sequences are found and energy absorption is tuned in PNS metastructures with rational layouts. Finally, the strategies of stopper and gradient designs are used to tune and enhance the energy absorption efficiency and reduce the plateau force fluctuation.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"116 ","pages":"Article 105869"},"PeriodicalIF":4.2,"publicationDate":"2025-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145109228","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":"Closed-loop subsonic flutter control of smart symmetric variable stiffness composite laminates in tapered-swept configurations","authors":"Pritam Mondal,&nbsp;Prashanta Kr. Mahato","doi":"10.1016/j.euromechsol.2025.105875","DOIUrl":"10.1016/j.euromechsol.2025.105875","url":null,"abstract":"<div><div>This study investigates the free vibration, transient dynamic response, and flutter characteristics of cantilevered smart symmetric variable-stiffness composite laminated (VSCL) plates, focusing on both forward-swept and backward-swept tapered configurations with identical aspect ratios. Closed-loop vibration control using active fibre composites (AFCs) as actuators and sensors is implemented, incorporating a full-state feedback controller. Additionally, the effect of the plate's geometry on the flutter characteristics of VSCL plates is examined. A MATLAB-based finite element (FE) code is employed for normal mode analysis. A simple and effective methodology is used for meshing swept tapered plates. Unsteady aerodynamic forces are calculated using the doublet lattice method (DLM) in MSC Nastran for flutter analysis under subsonic flow conditions. The aerodynamic model is integrated with structural modal parameters via direct matrix abstraction programming (DMAP) in Nastran. Results show that forward-swept plates are prone to divergence, while backward-swept plates exhibit controlled flutter behaviour with the implemented controller.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"116 ","pages":"Article 105875"},"PeriodicalIF":4.2,"publicationDate":"2025-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145096730","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":"Beam-type structure for low-frequency and broadband underwater sound absorption","authors":"Yu Liu ,&nbsp;Huimin Liu ,&nbsp;Kaiqi Yan ,&nbsp;Bin Liao ,&nbsp;Zihao Niu ,&nbsp;Chun Tang ,&nbsp;Heng Jiang ,&nbsp;Yuren Wang","doi":"10.1016/j.euromechsol.2025.105873","DOIUrl":"10.1016/j.euromechsol.2025.105873","url":null,"abstract":"<div><div>Low-frequency and broadband sound absorption have been a longstanding challenge for acoustic stealth of underwater vehicles, as the intrinsic energy dissipation of materials is weak. In this paper, we present a beam-type structure that can achieve impedance matching and generate both low-frequency and high-frequency sound absorption peaks efficiently, owing to its capability of simultaneously producing transverse and longitudinal vibrations. Theoretical analysis and numerical simulation results show that the first-order derivative of the beam element's displacement is discontinuous, and the elastic strain energy intensity is sufficiently high at the location of sound absorption peaks. The choice of material and its geometrical parameters also have crucial influences on tuning the amplitudes and frequencies of the sound absorption peaks. By integrating five beam units in a single structure with different vibration eigenfrequencies, we achieve deep-subwavelength (λ/50) broadband sound absorption from 500 Hz to 10 kHz. The present work provides an appealing strategy to improving acoustic energy density and designing underwater structures for low-frequency and broadband noise reduction.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"116 ","pages":"Article 105873"},"PeriodicalIF":4.2,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145049564","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":"Additive manufacturing of a transtibial prosthetic socket through a FE-based topology optimization approach","authors":"Cristina Falcinelli ,&nbsp;Iacopo Bianchi ,&nbsp;Alessia Carugno ,&nbsp;Archimede Forcellese","doi":"10.1016/j.euromechsol.2025.105858","DOIUrl":"10.1016/j.euromechsol.2025.105858","url":null,"abstract":"<div><div>The present work explores the possibility of combining 3D printing and topology optimization to produce lightweight transtibial prosthetic sockets to reduce the manufacturing time, costs and material waste. Specifically, a topology optimization algorithm based on Finite Element (FE) method has been employed to determine the optimal material distribution for the prosthetic socket in Polyamide PA12. A FE analysis has been carried out to validate the behaviour of the optimized shape. Finally, the new shape has been 3D printed using the fused deposition modelling technology. Furthermore, a cost analysis has been performed on the 3D printed part and traditional prosthetic socket. The approach followed in the present work showed a time reduction of up to 50% for the production of the final prosthesis and a cost reduction of up to 80% compared to the traditional manufacturing process. Moreover, the optimization of the material distribution allows for a reduction of material use (i.e. −38%). This procedure demonstrates the potential of the proposed approach for developing an efficient and sustainable alternative in the manufacturing of prosthetic sockets.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"116 ","pages":"Article 105858"},"PeriodicalIF":4.2,"publicationDate":"2025-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145049973","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":"Fracture toughness and crack propagation in anisotropic triangular lattices","authors":"Milad Omidi ,&nbsp;Jarkko Niiranen","doi":"10.1016/j.euromechsol.2025.105854","DOIUrl":"10.1016/j.euromechsol.2025.105854","url":null,"abstract":"<div><div>This study investigates the fracture toughness, critical energy release rate, and crack growth resistance (R-curve) of anisotropic triangular lattices. Anisotropy is introduced by tailoring the lattice microstructure through variations in the thickness ratio <span><math><mover><mrow><mi>t</mi></mrow><mrow><mo>̄</mo></mrow></mover></math></span> of struts, while maintaining a constant relative density. The mode I fracture response is analyzed using the finite element method, based on a boundary layer technique. The simulations demonstrate a non-monotonic dependence of the fracture toughness on <span><math><mover><mrow><mi>t</mi></mrow><mrow><mo>̄</mo></mrow></mover></math></span>, with peak values occurring at distinct thickness ratios depending on the crack orientation relative to the lattice topology. The corresponding critical energy release rate exhibits the same non-monotonic trend, but with a distinct dependence on <span><math><mover><mrow><mi>t</mi></mrow><mrow><mo>̄</mo></mrow></mover></math></span>. The crack propagation analysis reveals that anisotropy strongly affects both the crack growth resistance and the corresponding crack growth path. Specifically, when the initial crack line is perpendicular to the vertical struts, increasing <span><math><mover><mrow><mi>t</mi></mrow><mrow><mo>̄</mo></mrow></mover></math></span> enhances resistance, and the crack tends to propagate along the initial crack line. On the other hand, when the initial crack line is parallel to the vertical struts, increasing <span><math><mover><mrow><mi>t</mi></mrow><mrow><mo>̄</mo></mrow></mover></math></span> first leads to a reduction in both fracture toughness and crack growth resistance, accompanied by a transition from slanted propagation to penetration along the initial crack line. However, beyond a critical thickness ratio (<span><math><mrow><mover><mrow><mi>t</mi></mrow><mrow><mo>̄</mo></mrow></mover><mo>≈</mo><mn>1</mn><mo>.</mo><mn>50</mn></mrow></math></span>), the penetration growth persists only up to a limited distance from the initial crack tip, after which crack propagation resumes along a slanted path. This variation in the crack propagation process significantly enhances the crack growth resistance. Altogether, the results provide key insights into the fracture response of anisotropic lattices, offering practical guidelines for designing architected materials with improved toughness and controlled crack propagation.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"116 ","pages":"Article 105854"},"PeriodicalIF":4.2,"publicationDate":"2025-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145049974","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":"Receding contact of a layer on an elastically similar half-plane","authors":"S.A. MacLeod,&nbsp;D.A. Hills","doi":"10.1016/j.euromechsol.2025.105853","DOIUrl":"10.1016/j.euromechsol.2025.105853","url":null,"abstract":"<div><div>The plane problem of an elastic layer resting on an elastically similar frictional half plane, which is subject to a line normal and shear force is studied. Emphasis is given to the effect of loading sequence, and problems of proportional loading and sequential loading (normal followed by shear) to the same force state are presented. The problem is solved principally by the use of a formulation based on a half-plane representing the sum of the actual half-plane plus layer and using dislocations to model the effects of slip and separation. The solution is guided by and validated by the use of the finite element method.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"116 ","pages":"Article 105853"},"PeriodicalIF":4.2,"publicationDate":"2025-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145027120","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}