Acta MechanicaPub Date : 2025-01-31DOI: 10.1007/s00707-024-04209-1
M. Furjan, X. Zhou, X. Shen, A. Farrokhian, R. Kolahchi, M. Yaylacı
{"title":"Energy harvesting and forced vibration of flexoelectric hydrogel-based triboelectric spherical cap microgenerators","authors":"M. Furjan, X. Zhou, X. Shen, A. Farrokhian, R. Kolahchi, M. Yaylacı","doi":"10.1007/s00707-024-04209-1","DOIUrl":"10.1007/s00707-024-04209-1","url":null,"abstract":"<div><p>Wearable electronics and microsystems using flexoelectric hydrogel-based triboelectric spherical cap microgenerators have a primary application in energy harvesting. Using mechanical energy derived from environmental vibrations or human motion, small devices, sensors, and medical implants are powered by electrical energy. An investigation of advanced energy harvesting and nonlinear forced vibration characteristics of sandwich spherical cap triboelectric microgenerators is presented as the main contribution of this work. The microgenerator structure is innovatively designed with a hydrogel core, sandwiched between polydimethylsiloxane (PDMS) layers and flexoelectric materials on the top and bottom surfaces. The strain gradient theory incorporates size effects, which are essential to accurate microscale modeling. A complex interaction between mechanical and electrical fields can be captured by using Hamilton’s principle and higher-order shear deformation theory (HSDT). A precise and efficient numerical analysis is achieved using the differential quadrature method (DQM) and Newmark approach to solve these coupled electromechanical equations of motion. Taking surface stresses into account, the maximum dynamic deflection, output voltage, and generated electrical power decreased by 23%, 22%, and 40%, respectively. Additionally, increasing the core-to-polymer skin thickness ratio led to a 77% increase in maximum dynamic deflection and a 2.75-fold increase in output voltage.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"1719 - 1759"},"PeriodicalIF":2.3,"publicationDate":"2025-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638575","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 : 2025-01-30DOI: 10.1007/s00707-024-04214-4
Francisco J. Valdés-Parada, Didier Lasseux
{"title":"Clarifications about upscaling diffusion with heterogeneous reaction in porous media","authors":"Francisco J. Valdés-Parada, Didier Lasseux","doi":"10.1007/s00707-024-04214-4","DOIUrl":"10.1007/s00707-024-04214-4","url":null,"abstract":"<div><p>The upscaling process of coupled (single- and two-species) diffusion with heterogeneous chemical reaction in homogeneous porous media is revisited in this work with several important clarifications following the article from Bourbatache et al. (Acta Mech 234: 2293-2314, 2023. https://doi.org/10.1007/s00707-023-03501-w). It is shown that the upscaled model obtained from the volume averaging method (VAM) or, equivalently, following an adjoint and Green’s formulation technique provides a closed model without any <i>a priori</i> assumption on the form of the solution for the pore-scale concentration involved in the spectral approach used in the periodic homogenization method (PHM) reported in the above reference. Through comparison with direct pore-scale simulations, the VAM model is shown to outperform the predictions of the average concentration and average flux profiles for the simple two-dimensional configuration considered in Bourbatache et al. (Acta Mech 234: 2293-2314, 2023. https://doi.org/10.1007/s00707-023-03501-w) in comparison with the model obtained from PHM in this reference. Finally, identification of the apparent effective diffusion coefficient from these pore-scale simulations, which serve as <i>in silico</i> experiments, proves that the correct dependence upon the Damkhöler number is the one predicted by the model obtained with VAM, in contradiction with the conclusion put forth in Bourbatache et al. (Acta Mech 234: 2293-2314, 2023. https://doi.org/10.1007/s00707-023-03501-w). The physical explanation lies in the corrective contribution of the reactive part to the apparent effective diffusion coefficient, which is positive and adds up to the pure intrinsic diffusive part. The discrepancy between PHM and VAM approaches is proved to originate from the choice of changes of variables in the pore-scale concentration used in the spectral approach while employing PHM.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"1697 - 1717"},"PeriodicalIF":2.3,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638505","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}
{"title":"Analytical free vibration solution of orthotropic thin plates with three edges rotationally restrained and one edge free","authors":"Jinghui Zhang, Pin Gao, Xingjian Diao, Salamat Ullah, Wenyue Qi, Hamad Almujibah, Ömer Civalek","doi":"10.1007/s00707-025-04237-5","DOIUrl":"10.1007/s00707-025-04237-5","url":null,"abstract":"<div><p>Orthotropic thin plates are essential in aerospace applications due to their high strength-to-weight ratio, which is critical for efficient structural performance. The mechanical properties of these structures are influenced by numerous factors, with free vibration characteristics being particularly significant. However, analytical solutions for free vibration are often limited to plates with simple boundary conditions (BCs). Few exact analytical solutions exist for plates with complex non-Lévy-type or rotationally restrained BCs. This study aims to analyze the free vibration behavior of orthotropic thin plates featuring three rotationally restrained edges and one free edge, employing the finite integral transform (FIT) method. A key advantage of this method is its simplicity and versatility, as it does not require the predefinition of a deflection function. By setting different values of the rotating fixed coefficient, the study offers analytical free vibration solutions for plates with various combinations of rotationally restrained, simply supported, clamped, and free BCs without additional derivations. The solutions derived using the FIT method are validated by comparison with numerical results obtained from ABAQUS software and available analytical solutions, confirming the method’s accuracy and reliability. Parameter analyses are conducted to examine the effects of aspect ratio, BCs, material properties, and rotating fixed coefficient on non-dimensional frequency parameters and corresponding vibration modes. The results reveal that these parameters significantly influence the frequency characteristics of orthotropic thin plates. The results can be used as a benchmark for validating other analytical and numerical methods.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"1673 - 1695"},"PeriodicalIF":2.3,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04237-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638569","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 : 2025-01-27DOI: 10.1007/s00707-025-04236-6
Qais Gawah, Mohammed A. Al-Osta, Fouad Bourada, Abdelouahed Tounsi, Shamsad Ahmad, Mesfer M. Al-Zahrani
{"title":"Bending analysis of graphene platelet-reinforced FG plates on Kerr foundations using an integral HSDT","authors":"Qais Gawah, Mohammed A. Al-Osta, Fouad Bourada, Abdelouahed Tounsi, Shamsad Ahmad, Mesfer M. Al-Zahrani","doi":"10.1007/s00707-025-04236-6","DOIUrl":"10.1007/s00707-025-04236-6","url":null,"abstract":"<div><p>This work explores the bending responses of functionally graded graphene platelet-reinforced ceramic–metal (FG-GPLRCM) plates on Kerr substrates within an integral higher-order shear deformation theory framework. The theory accurately observes zero stresses on the plate's top and bottom surfaces, satisfies boundary conditions, and obviates the requirement for unique shear correction factors using only four governing equations, fewer than other comparable shear deformation models. The plate's Young's modulus and Poisson's ratio are predicted via the Halpin–Tsai model and mixture rule, respectively. By applying Hamilton's principle, governing equations are derived, which are then solved utilizing Navier's technique to determine the deflection of a simply supported FG-GPLRCM plate. Numerical examples are introduced, solved, and compared with theoretical predictions from the literature to confirm the precision of the current theory. The effects of multiple parameters include thick-to-side ratio, length-to-width ratio, power-law gradient index, load type, and Kerr foundation parameters. In addition, the impact of GPL's weight fraction, geometry, size, and distribution pattern on bending behaviors is also investigated.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"1647 - 1671"},"PeriodicalIF":2.3,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638496","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 : 2025-01-24DOI: 10.1007/s00707-025-04231-x
Huili Guo, Xin Deng, Fulin Shang
{"title":"Small-scale and intermittent plasticity based on dislocation cell continuum crystal plasticity model","authors":"Huili Guo, Xin Deng, Fulin Shang","doi":"10.1007/s00707-025-04231-x","DOIUrl":"10.1007/s00707-025-04231-x","url":null,"abstract":"<div><p>The recent experimental and theoretical studies indicate that the heterogeneous dislocation cell structure in metal sample at micron scale plays a significance role in characterizing the size effect and stair-like fluctuation plasticity deformation. To reveal the essential connection between the dislocation cell structure and the unravel plasticity deformation behaviors, a dislocation-based continuum crystal plasticity model is proposed in this work to simulated the microcompression tests for micropillars at the different micron sizes. The heterogeneous distribution of the dislocations in the micropillar is formulated by the evolution equations of dislocation density of the dislocation cell and wall for the first time. It is confirmed that the cell size and wall thickness are correlated with the dislocation density in cell and wall. The microcompression simulation of the single crystal Ni sample at micron scale with diameter ranging from 2 and 20 μm is applied by the present model. The results reveal that the size effect of the flow stress not only depend on the dislocation cell size (DCS) and wall thickness (DWT), but also depend on the diameter of micropillar. The intermittent flow is attributed to the heterogeneous distribution of dislocations. It is also observed that the dislocation cell structure refinement phenomenon is apparent with the increase in plasticity deformation.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"1633 - 1645"},"PeriodicalIF":2.3,"publicationDate":"2025-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638248","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 : 2025-01-21DOI: 10.1007/s00707-025-04229-5
Wafaa B. Rabie, Hamdy M. Ahmed, Marin Marin, Abdallah A. Syied, Assmaa Abd-Elmonem, Nesreen Sirelkhtam Elmki Abdalla, Mohamed F. Ismail
{"title":"Thorough investigation of exact wave solutions in nonlinear thermoelasticity theory under the influence of gravity using advanced analytical methods","authors":"Wafaa B. Rabie, Hamdy M. Ahmed, Marin Marin, Abdallah A. Syied, Assmaa Abd-Elmonem, Nesreen Sirelkhtam Elmki Abdalla, Mohamed F. Ismail","doi":"10.1007/s00707-025-04229-5","DOIUrl":"10.1007/s00707-025-04229-5","url":null,"abstract":"<div><p>This work aims to develop a deeper understanding of wave propagation in thermoelastic materials by deriving exact wave solutions for governing equations that account for gravity and temperature-dependent material properties. The study employs the improved modified extended tanh-function method (IMETFM) to address the coupled thermal and mechanical behaviorsin these materials, enabling the formulation of analytical solutions that capture complex wave phenomena. By extending the traditional tanh-function approach, the IMETFM allows for the derivation of diverse wave structures, including hyperbolic, polynomial, exponential, combo dark soliton, bright soliton, singular soliton, rational, and Jacobi elliptic solutions. These solutions are characterized by free parameters, offering thermoelastic in analyzing various physical scenarios. The study provides detailed graphical representations of key results, including stress tensors, displacement fields, and temperature distributions, offering visual insights into the intricate interactions within thermoelastic systems. The study’s findings emphasize the critical role of gravity and temperature dependence in shaping wave propagation and aim to advance theoretical understanding while offering potential applications in material science and engineering.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"1599 - 1632"},"PeriodicalIF":2.3,"publicationDate":"2025-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04229-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638573","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 : 2025-01-21DOI: 10.1007/s00707-024-04194-5
X. Y. Gao, J. W. Qin, J. Hong, S. P. Wang, G. Y. Zhang
{"title":"Wave propagation characteristics and energy harvesting of magnetically tunable defective phononic crystal microbeams","authors":"X. Y. Gao, J. W. Qin, J. Hong, S. P. Wang, G. Y. Zhang","doi":"10.1007/s00707-024-04194-5","DOIUrl":"10.1007/s00707-024-04194-5","url":null,"abstract":"<div><p>This paper investigates the wave propagation characteristics and energy harvesting potential of magnetically tunable defective phononic crystal (PnC) microbeams incorporating microstructure effects. A theoretical model of a sandwich-structured phononic crystal beam is developed, utilizing modified couple stress theory. Parametric studies are conducted to examine the influence of microstructure, external magnetic fields, and defect lengths on bandgap and defect band formation. Numerical simulations reveal how defect mode shapes impact elastic wave localization, providing insights for efficient energy harvesting. Furthermore, the transmission curves under different magnetic field intensities and defect segment lengths were analyzed using the spectral element method, along with the output voltage generated by the piezoelectric layer attached to the defect region. The results demonstrate that external magnetic fields offer non-contact tunability of bandgap and defect bands frequencies. This study lays the foundation for optimizing energy harvesting devices based on phononic crystal defect structures.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"1579 - 1597"},"PeriodicalIF":2.3,"publicationDate":"2025-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638648","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 : 2025-01-20DOI: 10.1007/s00707-025-04228-6
Hayrullah Gün Kadıoğlu, Ömer Civalek, Büşra Uzun, Mustafa Özgür Yaylı
{"title":"Size-dependent vibration and static analyses of a nanobeam made of time-dependent material attached with viscoelastic boundaries using three different beam theories","authors":"Hayrullah Gün Kadıoğlu, Ömer Civalek, Büşra Uzun, Mustafa Özgür Yaylı","doi":"10.1007/s00707-025-04228-6","DOIUrl":"10.1007/s00707-025-04228-6","url":null,"abstract":"<div><p>In this study, free vibration analysis of viscoelastic nanobeams under viscoelastic boundary conditions has been carried out separately for Euler–Bernoulli, Timoshenko, and Levinson beam theories. First, the non-local theory and the viscoelastic model have been established, and then, the equations of motion have been obtained using Hamilton's principles. Higher-order Fourier series obtained by Stokes’ transforms have been used to solve the problem. With the inclusion of boundary conditions in the problem, an eigenvalue problem has been constructed from which the frequencies for each beam theory can be obtained. The results have been presented in graphs and tables, and some important results have been obtained; for example, the effect of damping decreases as the non-local length scale parameter increases, damping has more effect in large modes, and the influence of viscous damping parameter of Euler–Bernoulli beam theory is more than other beam theories.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"1551 - 1578"},"PeriodicalIF":2.3,"publicationDate":"2025-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04228-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638563","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 : 2025-01-20DOI: 10.1007/s00707-025-04227-7
Muqiu Peng, Sen Leng, Yi Zhao, Xiaogeng Tian
{"title":"Transient thermoelastic responses of dielectrics subjected to ultrashort shaped pulses","authors":"Muqiu Peng, Sen Leng, Yi Zhao, Xiaogeng Tian","doi":"10.1007/s00707-025-04227-7","DOIUrl":"10.1007/s00707-025-04227-7","url":null,"abstract":"<div><p>Ultrashort laser pulse shaping is one of the crucial technologies to improve the ultrashort pulsed laser machining of dielectrics. However, the thermoelastic responses have not been considered in the previous studies in this area. This study aims to accurately predict the thermoelastic responses of dielectrics subjected to ultrashort shaped laser pulses and to provide guidance for the laser processing of dielectrics. In this paper, the Guyer–Krumhansl heat conduction and nonlocal elasticity are integrated into the theory of ultrafast laser-material interactions to accurately predict the thermoelastic responses during ultrashort shaped pulses. The evolution of electron density, electron temperature, lattice temperature, and thermal stresses are obtained using finite element method. The transient responses during two-pulse laser irradiation and the influences of pulse shaping parameters (including pulse number, separation time, and energy ratio of sub-pulses) are analyzed. Results indicate that the temperature rise during the first laser pulse is much lower than that during the subsequent pulses. The maximum value of circumferential stress at different laser parameters almost keeps unchanged due to the reduced elastic modulus. The laser parameters have significant effects on the temperature and stresses.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"1535 - 1550"},"PeriodicalIF":2.3,"publicationDate":"2025-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638562","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 : 2025-01-20DOI: 10.1007/s00707-024-04216-2
Xizhu Li, Ling Luo, Mostafa Habibi, Luyao Wang
{"title":"Extending a higher-order foldability constitutive model for dynamic response analysis of 3D-reinforced shell of deformable","authors":"Xizhu Li, Ling Luo, Mostafa Habibi, Luyao Wang","doi":"10.1007/s00707-024-04216-2","DOIUrl":"10.1007/s00707-024-04216-2","url":null,"abstract":"<div><p>This analytical paper investigates application of a novel higher-order shear deformable mathematical model for investigating vibrational analysis of a doubly curved shell in which the kinematic relations are extended using the variable-thickness transverse deflection. The Hamiltonian method is extended to derive the governing motions equations in the curvilinear coordinate system. The constitutive relations are extended using the experimental and statistical relations in the literature for a copper matrix including various amount of three-dimensional graphene nanofillers named as graphene origami using hydrogenation process. The analytical results are presented using the mathematical model in order to trace the impact of graphene origami characteristics and geometric parameters of the double-curved shell. The temperature-dependency relations for material properties as well as folding and content are employed for investigating the impact of affecting parameters. The results are presented with and without thickness stretching effect to arrive at a more confidence results.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"1509 - 1533"},"PeriodicalIF":2.3,"publicationDate":"2025-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638561","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}