Acta MechanicaPub Date : 2025-03-07DOI: 10.1007/s00707-025-04273-1
Yuhang Wang, Lifeng Wang, Yuqiang Gao
{"title":"Metamaterial beam with resonators of active feedback control to broaden and tune the bandgaps","authors":"Yuhang Wang, Lifeng Wang, Yuqiang Gao","doi":"10.1007/s00707-025-04273-1","DOIUrl":"10.1007/s00707-025-04273-1","url":null,"abstract":"<div><p>Broadening and tuning the bandgap properties are important for the application of locally resonant metamaterials. However, the bandgap of classical locally resonant metamaterials is generally narrower. In this paper, a locally resonant metamaterial beam with active feedback control systems is proposed to broaden and tune the bandgap. The dispersion relation and transmissibility of the active control locally resonant metamaterial beam are obtained via the spectral element method and finite element method. The results show that the lower limit of locally resonant bandgap moves to lower frequency; meanwhile, the upper limit of locally resonant bandgap moves to higher frequency with the change of control gain. It breaks the restriction of locally resonant bandgap frequency range moving to higher frequency or lower frequency at the same time. The frequency range of the bandgap is greatly broadened. The locally resonant and Bragg bandgaps are coupled to form a broad bandgap by tuning the control gain and introducing damping. The metamaterial with damping can achieve vibration suppression over a wider frequency range. Vibration suppression over a wide frequency range is verified via the finite element method. The control robustness analysis is verified by considering the effects of noise and stiffness deviation on the system. This paper provides a novel method for broadband vibration suppression.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"2331 - 2343"},"PeriodicalIF":2.3,"publicationDate":"2025-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638512","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}
Acta MechanicaPub Date : 2025-03-04DOI: 10.1007/s00707-025-04272-2
Lei Zhang, Rong Wang, Rencai He, Changxin Tang
{"title":"A new method of determining symmetry types of the fifth-order elastic stiffness tensor in the (first) strain-gradient theory","authors":"Lei Zhang, Rong Wang, Rencai He, Changxin Tang","doi":"10.1007/s00707-025-04272-2","DOIUrl":"10.1007/s00707-025-04272-2","url":null,"abstract":"<div><p>A new method without constraint on orders is proposed in this paper to determine the symmetry types of the fifth-order elastic stiffness tensor in the (first) strain-gradient theory. The odd-order tensor seems more complex than the even-order tensor in terms of symmetry problems. Based on the knowledge of the irreducible decomposition of high-order tensors and the multi-polar representations of deviator, the new method solves symmetry problems by a process of elimination, which is clear and simpler than the methods proposed before. By virtue of the pattern of the unit vector set of deviators, the natural coordinate system and the number of distinct components among the 28 types of the fifth-order elastic stiffness tensor also have been given, which is of great importance to the (first) strain-gradient theory under anisotropy.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"2315 - 2330"},"PeriodicalIF":2.3,"publicationDate":"2025-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638261","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}
Acta MechanicaPub Date : 2025-03-03DOI: 10.1007/s00707-025-04270-4
Mourad Benadouda, Mohammed El Amin Bourouis, Mouloud Dahmane, Riadh Bennai, Hassen Ait Atmane, Omar Safer
{"title":"Dynamic response of wave propagation in functionally graded beams with defects: effects of porosity and cracks","authors":"Mourad Benadouda, Mohammed El Amin Bourouis, Mouloud Dahmane, Riadh Bennai, Hassen Ait Atmane, Omar Safer","doi":"10.1007/s00707-025-04270-4","DOIUrl":"10.1007/s00707-025-04270-4","url":null,"abstract":"<div><p>The analysis of the dynamic response to wave propagation in the FG pinned–pinned beams with various defects, such as cracks and varying porosity distributions, is what this paper has to offer. The bidirectional distribution, which is primarily represented in the density, Poisson coefficient, and Young's modulus, is taken into consideration while developing higher-order shear deformation beam theory for wave propagation in defective FG structure beams. A power law index is used to assess the thickness and width of the porous FG beam's material properties. Using Hamilton's principle, the governing equations of wave propagation in the multi-crack porous 2D-FG beam are derived. An eigenvalue problem is solved to determine the bidirectional porous FG beam's analytic dispersion relation. Three models of porosity that approximate distributions were examined. There was a high degree of consistency between the results obtained for bidirectional FG cracked beams and those documented in the literature. The influence of different parameters, the number of waves propagating, the volume fraction distributions, and the porosity models on the dynamic of wave propagation modes in imperfect functionally graded beams are covered in detail, and to look into how significant parameters affect the damaged structure's dynamic behavior. This study innovates by combining the simultaneous analysis of the effects of bidirectional porosity and multiple cracks, thus providing a more complete understanding of the complex interactions influencing wave propagation. In addition, it proposes new porosity models adapted to composite materials, which had not been fully explored in previous research.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"2279 - 2296"},"PeriodicalIF":2.3,"publicationDate":"2025-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638270","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}
Acta MechanicaPub Date : 2025-03-03DOI: 10.1007/s00707-025-04261-5
Carol Lee Chalermsin, Tohya Kanahama, Motohiro Sato
{"title":"Morphogenesis strategies of hollow plants: avoidance of ovalization","authors":"Carol Lee Chalermsin, Tohya Kanahama, Motohiro Sato","doi":"10.1007/s00707-025-04261-5","DOIUrl":"10.1007/s00707-025-04261-5","url":null,"abstract":"<div><p>Ovalization of a cross-section is a dominant cause of failure in hollow plants subjected to bending. This study investigates the optimal spatial arrangement of fibers to maximize flexural rigidity during transverse bending by examining the morphology of bamboo. Bamboo, a hollow plant, exhibits self-adaptive properties that potentially account for its distinct vascular bundle distribution. By deriving the volume fraction of fibers in the longitudinal direction and equations for transverse flexural rigidity, the study identifies the optimal fiber distribution. The results indicate that a parabolic distribution of fibers is optimal for avoiding ovalization. Furthermore, a comparison with Moso bamboo reveals that this calculated optimal distribution matches the actual fiber arrangement near the bamboo's base, where the ovalization effect is significant. Moso bamboo behaves like a cylindrical shell, with high bending moments causing pronounced ovalization, while in other regions, it resembles a beam with lower bending moments.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"2269 - 2278"},"PeriodicalIF":2.3,"publicationDate":"2025-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04261-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638269","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}
Acta MechanicaPub Date : 2025-03-03DOI: 10.1007/s00707-025-04276-y
Jialing Li, Huoming Shen, Chi Hu, Guoyong Zhang, Juan Liu, Yuxing Wang
{"title":"Semi-analytical solutions of three-dimensional thermoelectromechanical coupling frictionless contact problem of thermoelectric materials","authors":"Jialing Li, Huoming Shen, Chi Hu, Guoyong Zhang, Juan Liu, Yuxing Wang","doi":"10.1007/s00707-025-04276-y","DOIUrl":"10.1007/s00707-025-04276-y","url":null,"abstract":"<div><p>This study presents a detailed analysis of the three-dimensional thermoelectromechanical coupling frictionless contact problems for thermoelectric materials. The transformed Green’s functions, known as frequency response functions, for thermoelectric materials under the combined influence of multiple physical fields are analytically derived. The surface pressure, heat flow, and electric current then are numerically calculated with the help of the conjugate gradient method and discrete convolution–fast Fourier transform arithmetic. A comparative study is conducted to demonstrate the validity and convergence of the semi-analytical model. A detailed parametric analysis is carried out to investigate the interaction mechanisms between externally applied physical fields, such as current and energy flux, and contact responses, including contact pressure, contact radius, and others. The research findings are of significant importance for the optimization design of contact performance in thermoelectric materials.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"2297 - 2314"},"PeriodicalIF":2.3,"publicationDate":"2025-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638271","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}
Acta MechanicaPub Date : 2025-03-02DOI: 10.1007/s00707-025-04260-6
Ming-Jun Zhao, Song Cen, Yan Shang, Chen-Feng Li
{"title":"Development of new thermoelastic Petrov–Galerkin finite elements with enhanced precision and distortion tolerance","authors":"Ming-Jun Zhao, Song Cen, Yan Shang, Chen-Feng Li","doi":"10.1007/s00707-025-04260-6","DOIUrl":"10.1007/s00707-025-04260-6","url":null,"abstract":"<div><p>The finite element method (FEM) serves as a crucial tool for addressing problems involving thermoelastic coupling. However, most current thermoelastic elements inherit shortcomings from the conventional finite element models, such as the sensitivity problem in relation to mesh distortion. The aim of this article is to extend some recent element techniques to thermoelastic analysis by developing new Petrov–Galerkin finite elements with high precision and distortion tolerance. This includes a plane 4-node 12-DOF (two displacements and one temperature per node) quadrilateral element US-ATFQ4T and a 3D 8-node 32-DOF (three displacements and one temperature per node) hexahedral element US-ATFH8T. The coupling stiffness matrices of the elements are meticulously assembled by the derivation from the virtual work principle. The mechanical part employs two different sets of shape functions: the isoparametric interpolation for test functions and the interpolation with a sequence of general solutions of homogenous control equations in linear elasticity, named by analytical trial functions (ATFs), for trial functions. The thermal part follows the traditional isoparametric interpolation mode. Numerical examples demonstrate high performance of the proposed elements with quality results even under coarse and distorted meshes.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"2233 - 2268"},"PeriodicalIF":2.3,"publicationDate":"2025-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638214","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}
Acta MechanicaPub Date : 2025-03-01DOI: 10.1007/s00707-025-04268-y
Hadi Ghashochi-Bargh, Iman Keshtegar
{"title":"A simple analytical model for static and dynamic analysis of unsymmetrical bi-stable variable stiffness composite laminated plates","authors":"Hadi Ghashochi-Bargh, Iman Keshtegar","doi":"10.1007/s00707-025-04268-y","DOIUrl":"10.1007/s00707-025-04268-y","url":null,"abstract":"<div><p>Bi-stable variable stiffness (VS) structures are passive systems that can maintain equilibrium after shape changes, making them a promising approach for adaptive structures. In this paper, a simple analytical model based on the Rayleigh–Ritz method is used for static and dynamic analysis of square and rectangular unsymmetrical bi-stable VS composite laminated plates, and Hamilton’s principle is used to investigate the dynamic snap-through phenomena. The effects of ply thickness, ply angles, and aspect ratio on strain energy and out-of-plane displacements of two stable states and dynamic snap-through are investigated. Also, the obtained analytical results are compared with finite element analysis to validate the accuracy of model. The obtained results show a good agreement between the analytical and finite element method, and show the good efficiency of the present method for use in VS composite structures.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"2211 - 2231"},"PeriodicalIF":2.3,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638210","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}
Acta MechanicaPub Date : 2025-03-01DOI: 10.1007/s00707-025-04266-0
Feiyang He, Yitong Zhang, Denghui Qian, Guo Wei
{"title":"Band gap properties of a curved phononic crystal truss structure","authors":"Feiyang He, Yitong Zhang, Denghui Qian, Guo Wei","doi":"10.1007/s00707-025-04266-0","DOIUrl":"10.1007/s00707-025-04266-0","url":null,"abstract":"<div><p>In order to deal with the problem of low-frequency vibration and noise control in engineering, a new curved phononic crystal truss structure is constructed in this paper. The band gap characteristics are simulated by means of band structure analysis and vibration transmission analysis. Moreover, regulation rules of the band gap are analyzed. Numerical results demonstrate that through reasonable geometric parameter design and material distribution, a wide pseudo-band gap can be achieved. This curved phononic crystal truss structure can effectively suppress low-frequency vibration in both circumferential and radial directions.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"2193 - 2209"},"PeriodicalIF":2.3,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638129","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}
Acta MechanicaPub Date : 2025-02-28DOI: 10.1007/s00707-025-04252-6
Youssef Hilali, Yassir Sitli, Oussama Elmhaia, Omar Askour, Mohammed Rammane, Said Mesmoudi, Oussama Bourihane
{"title":"An improved high-order Kriging mesh-free approach for nonlinear thermal buckling of porous FG beams","authors":"Youssef Hilali, Yassir Sitli, Oussama Elmhaia, Omar Askour, Mohammed Rammane, Said Mesmoudi, Oussama Bourihane","doi":"10.1007/s00707-025-04252-6","DOIUrl":"10.1007/s00707-025-04252-6","url":null,"abstract":"<div><p>This study investigates the nonlinear thermal buckling behavior of porous functionally graded (FG) beams using a novel mesh-free approach. The approach combines the Kriging method with an asymptotic numerical method to model the thermal response of FG beams composed of a ceramic–metal mixture with a varying volume fraction and uniform porosity. The governing equations are derived from Timoshenko beam theory, and a consistent linearization method is used to decouple the nonlinear system. The decoupled system is solved numerically using a high-order Kriging mesh-free method, enhanced by Kriging shape functions and a Taylor series-based continuation procedure. The Kriging method offers high accuracy in interpolation and the ability to handle complex geometries and material distributions. The proposed method is validated through a comparative study on transverse FG beams, showing good agreement with results from the finite element method (FEM) and existing literature. Key parameters such as porosity and material distribution are evaluated for their effect on the thermal buckling behavior of FG beams under various loading conditions. This work offers significant advancements in the analysis of porous FG beams, providing a more accurate and efficient computational tool for complex structural problems.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"2149 - 2169"},"PeriodicalIF":2.3,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638501","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}
Acta MechanicaPub Date : 2025-02-28DOI: 10.1007/s00707-025-04267-z
N. Islam, B. Das, G. C. Shit, A. Lahiri
{"title":"Thermoelastic and electromagnetic effects in a semiconducting medium","authors":"N. Islam, B. Das, G. C. Shit, A. Lahiri","doi":"10.1007/s00707-025-04267-z","DOIUrl":"10.1007/s00707-025-04267-z","url":null,"abstract":"<div><p>This paper addresses the generalized electromagnetothermoelastic problem for a homogeneous and isotropic thin circular semiconductor. We consider the non-local heat conduction equation due to the miniaturization of modern electronic devices and the prevalent use of ultrashort lasers in environments with extremely high-temperature gradients, along with the presence of a primary electromagnetic field. We assume that while heat propagation exhibits non-local properties, deformation behaves locally. The curved surface of the semiconductor is subjected to an exponentially time-dependent thermal and mechanical load. We employ a finite difference method utilizing the Crank–Nicolson implicit scheme to solve the governing coupled linear equations of hyperbolic type for extremely short-time actions and small microstructured sizes. Our study investigates the impact of the chemical concentration and the physical field variables of the diffusive material to predict the thermoelastic behavior within the nanostructured semiconducting medium. We present numerical computations of the chemical concentration, temperature distribution, chemical potential, deformation, and stress components for fixed values of physical parameters. The results indicate that the non-local parameter significantly smooths out sudden changes in thermal and stress gradients. The phase-lag parameters associated with heat flux and temperature gradient both have finite-speed thermal wave propagation and account for thermal inertia effects. These mechanisms collectively contribute to a reduction in surface resistance. Such factors are essential for precisely capturing ultrashort thermoelastic responses under rapid thermal loading, enabling improved predictions of material behavior in extreme conditions. These findings are crucial for designing and processing nanoelectromechanical systems (NEMS).</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"2171 - 2191"},"PeriodicalIF":2.3,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638502","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}