Acta Mechanica最新文献_第9页

Diffusion/heterogeneous reaction in porous media: Brownian random walk approach 多孔介质中的扩散/非均相反应：布朗随机游走方法

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-04-10 DOI: 10.1007/s00707-026-04706-5

Christian Moyne, Tien Dung Le, Mohamed Khaled Bourbatache, Olivier Millet

{"title":"Diffusion/heterogeneous reaction in porous media: Brownian random walk approach","authors":"Christian Moyne, Tien Dung Le, Mohamed Khaled Bourbatache, Olivier Millet","doi":"10.1007/s00707-026-04706-5","DOIUrl":"10.1007/s00707-026-04706-5","url":null,"abstract":"<div><p>The diffusion of a species undergoing a linear heterogeneous reaction at the solid–fluid interface in a porous medium leads, at the macroscopic scale, to a diffusion law characterized by an effective diffusion coefficient and a reactive source term. These macroscopic quantities can be rigorously derived using upscaling techniques such as the periodic homogenization technique or the volume averaging method. In both approaches, the effective diffusion coefficient and the reactive term can be obtained by solving closure problems defined within a representative unit cell of the porous structure. A discrepancy between the two approaches was reported in Bourbatache et al. (Acta Mech 231:2011–2031, 2020) and Valdés-Parada and Lasseux (Acta Mech 236:1697–1717, 2025), specifically regarding how the effective diffusion coefficient evolves with the reaction rate. In this work, we propose an alternative method to compute these coefficients, based on Brownian random walks of particles that interact with solid surfaces according to a prescribed reaction rate. Starting from a given particle distribution, the method of moments is applied to extract the effective diffusion coefficient appearing in the macroscopic model. Numerical results show excellent agreement with those obtained from the homogenization technique, confirming the predicted dependence of the effective diffusion coefficient on the reaction rate.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 8","pages":"4223 - 4235"},"PeriodicalIF":4.0,"publicationDate":"2026-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148878216","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Isogeometric analysis for buckling behavior of curved Euler–Bernoulli nanobeams based on nonlocal integral model 基于非局部积分模型的弯曲欧拉-伯努利纳米梁屈曲行为等几何分析

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-04-09 DOI: 10.1007/s00707-026-04699-1

Yuan Tang, PeiLiang Bian, Hai Qing

{"title":"Isogeometric analysis for buckling behavior of curved Euler–Bernoulli nanobeams based on nonlocal integral model","authors":"Yuan Tang, PeiLiang Bian, Hai Qing","doi":"10.1007/s00707-026-04699-1","DOIUrl":"10.1007/s00707-026-04699-1","url":null,"abstract":"<div><p>In this paper, a novel isogeometric finite element formulation is developed to investigate buckling responses of curved Euler–Bernoulli nanobeams. The governing equations and standard boundary conditions are derived through the minimum total potential energy principle. The equivalent differential forms of the strain- and stress-driven two-phase local/nonlocal integral models, along with the corresponding constitutive boundary conditions, are considered in a unified form to account for the size effect phenomenon. The axial force and bending moment are explicitly obtained, and the weak form of the governing equation is derived accordingly. The isogeometric analysis (IGA)-based finite element method (FEM) is developed to obtain the novel isogeometric finite element formulation for the buckling behaviors of curved nanobeams under different boundary conditions, with the displacement field modeled by Non-uniform rational B-splines (NURBS) instead of traditional Lagrangian and Hermite cubic interpolation functions. The constitutive boundary conditions enable the flexible accommodation of higher-order variables. This two-phase isogeometric finite element model fulfills high-order boundary conditions, features straightforward shape functions, and exhibits favorable convergence behavior. The buckling analysis results are compared with other available results in the literature to demonstrate the efficiency and accuracy of the present IGA framework. Convergence and parameter sensitivity analyses conducted under various boundary conditions demonstrate the robustness of the proposed method. The numerical results show that the strain- and stress-driven two-phase local/nonlocal models of curved nanobeams exhibit consistent softening and stiffening effects on buckling responses, respectively. Additionally, the effects of the opening angle and length-to-height ratio of the curved nanobeam are investigated.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 8","pages":"4165 - 4189"},"PeriodicalIF":4.0,"publicationDate":"2026-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148878039","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Numerical investigation of traveling wave-induced flow control on a NACA0018 airfoil at Reynolds number of 20,000 2万雷诺数下NACA0018翼型行波诱导流动控制数值研究

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-04-08 DOI: 10.1007/s00707-026-04686-6

Behrooz Afra, Hesam Tofighian, Ali Tarokh

{"title":"Numerical investigation of traveling wave-induced flow control on a NACA0018 airfoil at Reynolds number of 20,000","authors":"Behrooz Afra, Hesam Tofighian, Ali Tarokh","doi":"10.1007/s00707-026-04686-6","DOIUrl":"10.1007/s00707-026-04686-6","url":null,"abstract":"<div><p>The application of traveling wave morphing surfaces has emerged as an effective approach to reduce drag and prevent stall on airfoils at low Reynolds numbers. This study specifically examines the influence of wave parameters on flow control and stall mitigation over a NACA0018 airfoil at a Reynolds number of 20,000. Numerical simulations were performed to explore how traveling waves interact with the boundary layer, focusing on their ability to modify the flow dynamics and influence coherent flow structures. The results demonstrate that traveling waves can reduce turbulent kinetic energy in the region near the suction surface, promoting flow re-laminarization under certain conditions, particularly with low-speed, high-amplitude waves. At the same time, faster waves enhance turbulence, aiding separation control by generating coherent structures such as quasi-streamwise vortices and horseshoe-shaped vortices. This dual mechanism, combining relaminarization and enhanced turbulence, contributes to drag reduction and lift enhancement by preventing flow separation. Overall, this study highlights the effectiveness of traveling wave-induced flow control in improving aerodynamic performance and offers new insights into the interaction between the traveling waves and boundary layer dynamics.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 8","pages":"4135 - 4164"},"PeriodicalIF":4.0,"publicationDate":"2026-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148878215","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Fractional two-temperature thermoelastic diffusion model with non-singular kernels for laser-heated metallic sandwich structures 激光加热金属夹层结构的非奇异核分数双温热弹性扩散模型

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-04-06 DOI: 10.1007/s00707-026-04701-w

Xinggen Zou, Chenlin Li

{"title":"Fractional two-temperature thermoelastic diffusion model with non-singular kernels for laser-heated metallic sandwich structures","authors":"Xinggen Zou, Chenlin Li","doi":"10.1007/s00707-026-04701-w","DOIUrl":"10.1007/s00707-026-04701-w","url":null,"abstract":"<div><p>Laser heating technology, as a novel ultra-precision machining method, has found extensive application in the micro-machining of metallic materials. However, existing fractional-order thermoelastic diffusion theories fail to elucidate the inherent time-domain memory characteristics of electron thermal conduction under ultrafast laser heating conditions. To overcome this limitation, this study aims to establish a novel fractional-order thermoelastic diffusion theory featuring a non-singular kernel function. Employing the Laplace transform method, it investigates the thermoelastic diffusion response of a perfect interface metal sandwich composite material under non-Gaussian laser beam irradiation. Numerical results demonstrate that fractional derivatives significantly smooth response curves, providing intuitive validation that this model mathematically regularizes singular solutions in classical theory while embodying physical memory effects. This enhances prediction reliability and design safety. The material parameter ratio determines the multiphysics characteristics of the sandwich structure. When the parameter ratio deviates from 1, both the inner and outer layers exhibit distinct mechanical characteristics. Additionally, adjusting laser parameters can increase the propagation velocity of thermal and diffusion waves, as well as raise the peak values of stress and chemical potential.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 8","pages":"4101 - 4134"},"PeriodicalIF":4.0,"publicationDate":"2026-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148878214","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A numerical approach based on the higher-order Bezier extraction and a new quasi-3D theory for analyzing porous functionally graded multi-patch microplates 基于高阶Bezier提取和准三维理论的多孔功能梯度微孔板数值分析方法

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-04-06 DOI: 10.1007/s00707-026-04683-9

Vuong Nguyen Van Do, Loc V. Tran, Thang N. Dao

{"title":"A numerical approach based on the higher-order Bezier extraction and a new quasi-3D theory for analyzing porous functionally graded multi-patch microplates","authors":"Vuong Nguyen Van Do, Loc V. Tran, Thang N. Dao","doi":"10.1007/s00707-026-04683-9","DOIUrl":"10.1007/s00707-026-04683-9","url":null,"abstract":"<div><p>A numerical Bézier extraction method is proposed for nanoplates with sophisticated geometries reinforced by lightweight, functionally graded materials, providing a tool for practical engineering design. The approach combines a quasi-3D formulation with the modified strain-gradient theory to evaluate size-dependent transient vibration and buckling behaviors in porous multi-patch microplates. A new hybrid formulation of normal and shear functions is introduced in the quasi-3D theory to more accurately represent displacements through the plate thickness. This approach is employed to satisfy the higher-order <span>(C^{2})</span>-continuity requirement, enabling the solution of the modified strain-gradient theory (MSGT). Using the rule of mixtures and the material length-scale parameters, the effective properties are evaluated as functions of the gradient index and three porosity distributions. Using the principle of virtual work, the governing equations for both classical and non-classical motions, including natural frequencies and mechanical buckling behavior, are formulated. The proposed method demonstrates excellent accuracy for a wide range of multi-patch microplates, from simple to complex geometries. Detailed numerical examples are presented to examine the effects of stretching strain, size dependency, porosity distributions, gradient index, and boundary conditions on the dynamic, transient vibration, and buckling responses of porous microplates. To conclude, the consideration of size-dependent effects is crucial for accurately capturing the natural frequencies and buckling behavior of microplates at the micron scale. The role of porosity distributions in transient vibration and buckling is assessed, providing important insights for practical engineering design and lightweight structures.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 8","pages":"4065 - 4099"},"PeriodicalIF":4.0,"publicationDate":"2026-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148878189","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Free vibration of rotating and exponentially tapered beams with proof mass 具有证明质量的旋转和指数锥形梁的自由振动

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-04-04 DOI: 10.1007/s00707-026-04698-2

Hongyue Zhou, Ning Li, Jiachen Huang

{"title":"Free vibration of rotating and exponentially tapered beams with proof mass","authors":"Hongyue Zhou, Ning Li, Jiachen Huang","doi":"10.1007/s00707-026-04698-2","DOIUrl":"10.1007/s00707-026-04698-2","url":null,"abstract":"<div><p>Rotating non-uniform beams with proof mass are popularly applied in the micro/macro-engineering applications, and to accurately estimate the modal parameters is crucial for the optimal design of the rotating system. In this study, Adomian Decomposition Method (ADM) is employed firstly to calculate natural frequencies and modal shapes for the rotating and exponentially tapered beams with proof mass. The rotating effect, the proof mass, the general boundary constraint, and the rectangular and circular shapes of the beam cross section are all considered during the modeling. The accuracy of the proposed methodology is validated in comparison with the existing work and finite element analyses. This study comprehensively investigates the free vibration dependence of various factors, including the rotational velocity ratio <i>λ</i>, the rotational radius ratio <i>d</i>, spring stiffnesses <i>K</i><sub><i>T</i></sub> and <i>K</i><sub><i>R</i></sub>, the exponential factors of non-uniformity, and the tip-mass parameters (the mass ratio <i>μ</i> and the length ratio <i>Q</i>). Results indicate that the dimensionless natural frequency <i>Ω</i> increases monotonically as <i>λ</i> and <i>d</i> increase, with <i>λ</i> exerting a more pronounced effect than <i>d.</i> In contrast, <i>Ω</i> decreases monotonically as the exponential factors of non-uniformity increase and attains the maximum for uniform cross-section beams. Additionally, increasing <i>K</i><sub><i>T</i></sub> and <i>K</i><sub><i>R</i></sub> at the constraint end can increase the natural frequencies. Enhancing <i>λ</i> will induce a shift of modal nodes toward the right end attached to the proof mass. Note that the existence of <i>d</i> scarcely affects the characteristics of modal shapes.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 8","pages":"4041 - 4063"},"PeriodicalIF":4.0,"publicationDate":"2026-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148878188","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Photo-thermoelastic model based on mixed nonlocal dual-phase-lag heat conduction law and transient impact response for 1D semiconducting plate 基于混合非局部双相滞后热传导规律和瞬态冲击响应的一维半导体板光热弹性模型

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-04-02 DOI: 10.1007/s00707-026-04693-7

Chenlin Li, Jiaxi Zhou

{"title":"Photo-thermoelastic model based on mixed nonlocal dual-phase-lag heat conduction law and transient impact response for 1D semiconducting plate","authors":"Chenlin Li, Jiaxi Zhou","doi":"10.1007/s00707-026-04693-7","DOIUrl":"10.1007/s00707-026-04693-7","url":null,"abstract":"<div><p>Rapid heating technology (e.g., laser lithography) has been extensively applied in the micro-machining of semiconductor device, of which the nonlocal deformation and the micro-nanoscale dual-phase-lagging behavior of heat transfer significantly increases. To characterize such multi-physics coupling phenomenon, this paper aims to establish a new photo-thermoelastic model based on the mixed nonlocal dual-phase-lag heat conduction law and Eringen’s nonlocal elasticity theory, of which the novelty is the spatial nonlocal effects and dual-phase-lagging heat conduction mechanism are simultaneously considered. The newly developed model is applied to investigate the transient response of the one-dimensional (1D) semiconducting plate, and the time-domain solutions of the 1D multi-variables partial differential equations are solved via semi-analytical technique based on the Laplace transformation. The dimensionless numerical results show that the increasing spatial/temporal scale parameters of the mixed nonlocal dual-phase-lag model characterize the thermal wave phenomenon and faster heat propagation speed. Accordingly, the carrier concentration becomes lager, improving the semiconductor conductivity and performance, and reducing the large deformation and stress concentration in the semiconductor plate.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 8","pages":"4021 - 4039"},"PeriodicalIF":4.0,"publicationDate":"2026-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148877957","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Dynamic behavior of graphene-origami-based meta-auxetic doublet nanobeam with memory-dependent effect 具有记忆依赖效应的石墨烯折纸双重态纳米束的动力学行为

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-03-30 DOI: 10.1007/s00707-026-04664-y

Rajendran Selvamani, Thangamuni Prabhakaran, Murat Yaylacı, Dursun Murat Sekban, Ecren Uzun Yaylacı

{"title":"Dynamic behavior of graphene-origami-based meta-auxetic doublet nanobeam with memory-dependent effect","authors":"Rajendran Selvamani, Thangamuni Prabhakaran, Murat Yaylacı, Dursun Murat Sekban, Ecren Uzun Yaylacı","doi":"10.1007/s00707-026-04664-y","DOIUrl":"10.1007/s00707-026-04664-y","url":null,"abstract":"<div><p>This work explores the mechanical characteristics response electro-magneto-thermoelastic (EMT) nanobeams by simultaneously accounting for fractional viscoelasticity, nonlocal elastic interactions, doublet mechanics, and couple-stress effects. A meta-auxetic architecture is integrated into the nanobeam inspired by graphene-based origami structures, allowing its mechanical behavior to be tuned through geometric reconfiguration and engineered microstructural features. Time-dependent viscoelastic phenomena—such as nanoscale stress relaxation and strain evolution—are captured using the Caputo-form Atangana–Baleanu fractional operator representing the material’s memory characteristics. The governing relations are formulated through Hamilton’s principle under a nonlocal couple-stress formulation. Because these equations are nonlinear and fractional in nature, the Adomian decomposition technique (ADT) is applied to obtain analytical solution approximations. A comparative study with previously published results is carried out for model verification. The results demonstrate that couple-stress behavior, fractional-order memory effects, auxetic properties arising from graphene-origami structures, doublet mechanics, and nonlocal phenomena all strongly influence the stress–strain behavior and thermal response of the nanobeam. Overall, the study offers important guidelines for designing and optimizing next-generation nanoscale systems, including biomedical sensors, reconfigurable electronics, adaptive façade components, and intelligent infrastructural materials.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 8","pages":"3925 - 3949"},"PeriodicalIF":4.0,"publicationDate":"2026-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-026-04664-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148878046","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Vibration characteristics of bio-inspired helicoidal CNT-reinforced functionally graded laminated nanoplates on orthotropic foundation 正交各向异性基础上仿生螺旋碳纳米管增强功能梯度层合纳米板的振动特性

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-03-30 DOI: 10.1007/s00707-026-04684-8

Ahmed Amine Daikh, Obaidullah Alfahmi, Mohamed A. Eltaher

{"title":"Vibration characteristics of bio-inspired helicoidal CNT-reinforced functionally graded laminated nanoplates on orthotropic foundation","authors":"Ahmed Amine Daikh, Obaidullah Alfahmi, Mohamed A. Eltaher","doi":"10.1007/s00707-026-04684-8","DOIUrl":"10.1007/s00707-026-04684-8","url":null,"abstract":"<div><p>This paper presents an innovative and comprehensive examination of the free vibration characteristics of functionally graded, antisymmetric angle-ply bio-inspired helicoidal carbon nanotube-reinforced laminated composite nanoplates. An advanced nonlocal strain gradient continuum model, specifically designed for these composites, is employed to investigate the synergistic impacts of nanoscale phenomena and microstructural characteristics. A unique Galerkin approach is proposed to assess the vibration behavior of these nanoplates, while global governing equations are derived using Hamilton’s principle in conjunction with higher-order shear deformation theory. The study includes three unique helicoidal carbon nanotube configurations—linear (HL), exponential (HE), and semicircular (HS)—and assesses five carbon nanotube distribution patterns: uniform (UD), FG-X, FG-O, FG-A, and FG-V. The research conducts a comprehensive parametric study to elucidate the effects of geometric parameters, material properties, and boundary conditions on dimensionless natural frequencies, offering essential insights into the dynamic performance of these novel bio-inspired laminated composite nanoplates. The novelty of this work lies in the unified treatment of bio-inspired helicoidal CNT stacking, functionally graded CNT distributions, nonlocal strain gradient size dependency, and orthotropic Pasternak foundation effects within a refined shear deformation framework, enabling accurate vibration predictions for CNT-reinforced nanoplates in MEMS/NEMS and lightweight structural systems.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 8","pages":"3983 - 4020"},"PeriodicalIF":4.0,"publicationDate":"2026-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148878187","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Tunable wave propagation and band gap characteristics in functionally graded lattices with multiple topologies via dynamic stiffness and Floquet–Bloch formulation 基于动态刚度和Floquet-Bloch公式的多拓扑功能梯度晶格的可调谐波传播和带隙特性

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-03-30 DOI: 10.1007/s00707-026-04680-y

Mudit Mishra, Sandeep Kumar, Ambuj Sharma

{"title":"Tunable wave propagation and band gap characteristics in functionally graded lattices with multiple topologies via dynamic stiffness and Floquet–Bloch formulation","authors":"Mudit Mishra, Sandeep Kumar, Ambuj Sharma","doi":"10.1007/s00707-026-04680-y","DOIUrl":"10.1007/s00707-026-04680-y","url":null,"abstract":"<div><p>Metamaterials’ design and development are a fast-growing field with unlimited potential in aircraft, acoustics, and telecommunications. Adding a gradient to materials could change wave behavior, making them useful for wave control. This study examines the impact of graded material distribution on dynamic wave transmission in 2D lattice structures. Three distinct lattice configurations, regular diamond, chiral, and triangular layouts, are used in the investigation. All lattices’ unit cell is represented using a Timoshenko beam with axial extension. Material inhomogeneity in the cell elements is represented through functionally graded properties, incorporated using three gradation schemes: Power law, exponential, and trigonometric distributions. The stiffness matrix is formulated using the dynamic stiffness method combined with the Floquet–Bloch theorem, and the resulting eigenvalue system is solved using the Wittrick–Williams algorithm. This investigation shows that modifying the material property along the thickness direction does not affect the shapes of the dispersion curves but uniformly scales the frequency magnitudes in all three lattice structures. Iso-frequency contours show that increased material inhomogeneity indicates enhanced anisotropy and direction-dependent wave propagation. The velocity charts illustrate that wave-propagation’s phase speed decreases across all lattices as index of material gradient increases. Validating all dispersion curves with finite element analysis verifies the results’ accuracy and reliability. This work highlights the use of functionally graded materials in lattice structures to tailor wave-propagation characteristics.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 8","pages":"3951 - 3982"},"PeriodicalIF":4.0,"publicationDate":"2026-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148878048","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0