Acta MechanicaPub Date : 2025-02-06DOI: 10.1007/s00707-024-04205-5
Qingzheng Xie, Qingshan Wang, Rui Zhong
{"title":"Chebyshev-PEM approach for the stochastic dynamic analyses of FG-GPLRC annular plate","authors":"Qingzheng Xie, Qingshan Wang, Rui Zhong","doi":"10.1007/s00707-024-04205-5","DOIUrl":"10.1007/s00707-024-04205-5","url":null,"abstract":"<div><p>In this article, stochastic dynamic of functionally graded graphene nanoplatelet-reinforced composite (FG-GPLRC) annular plate is investigated based on FSDT, and two types of stochastic acceleration loads containing band-limited white noise as well as aerospace-specific power spectrum are considered. The effective material parameters of FG-GPLRC annular plate are evaluated by Halpin–Tsai model and mixture rule. To simplify the material modeling, each layer is assumed to be isotropic. The displacement and rotation formulations are expressed with the aid of Chebyshev approach; then, the characteristic equation is derived using the minimum energy principle. Adopting pseudo-excitation method (PEM), stochastic response results are obtained. To verify the accuracy of the proposed model, the comparisons of free and stochastic vibration results are conducted in this paper. Additionally, groups of parametric studies are performed to examine effects of GPLs weight fraction, GPLs dimension and test point on the stochastic vibration results of the FG-GPLRC annular plate.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"1761 - 1779"},"PeriodicalIF":2.3,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638343","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 : 2025-02-06DOI: 10.1007/s00707-025-04239-3
Mykola Nagirniak
{"title":"Modification of the Vlasov subsoil model","authors":"Mykola Nagirniak","doi":"10.1007/s00707-025-04239-3","DOIUrl":"10.1007/s00707-025-04239-3","url":null,"abstract":"<div><p>The paper presents a modification of the Vlasov subsoil model. The modification consists in considering three non-zero components of the displacement vector and the transverse isotropy of the subsoil, as well as in the assumption that material parameters can vary along the layer thickness. A general, modified, heterogeneous and transversely isotropic model of the Vlasov subsoil and four-parameter and two-parameter models with variable material characteristics have been proposed. The modified model and the two-parameter Vlasov subsoil model have been verified on the basis of the solutions of the exact theory of elasticity. New displacement damping functions based on the exact solution of elasticity theory have been proposed.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"1781 - 1801"},"PeriodicalIF":2.3,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143638345","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":"Phase-field study on controlling R-phase domain structure in BiFeO3 thin films via scanning tip: effects of film thickness, tip bias and scanning speed","authors":"Xintong Wang, Mengjun Wu, Qian He, Xinzhi Liu, Weijin Chen, Yue Zheng","doi":"10.1007/s00707-025-04241-9","DOIUrl":"10.1007/s00707-025-04241-9","url":null,"abstract":"<div><p>BiFeO<sub>3</sub> (BFO) thin films at room temperature and moderate misfit strains favor to form rhombohedral phase (R-phase) ferroelastic domain patterns, and the coupling between the ferroelastic domain and antiferromagnetism makes it crucial to gain a deterministic control of the ferroelastic domain pattern in BFO thin films. So far, scanning tip electric field has been experimentally proven to effectively manipulate the ferroelastic domain pattern in BFO thin films. However, due to the complexity of the switching dynamics, the factors affecting the ferroelastic domain switching of BFO thin films under scanning tip electric field are still not completely understood. In this work, a comparative study based on phase-field simulations is made to reveal the effects of three factors including film thickness, tip bias and scanning speed on the switching of 71° R-phase ferroelastic stripe domain patterns in BFO thin films. It shows that the volume fractions of the tip-field-induced nucleated domain variants are modified by all the three factors and affect the subsequent spatial–temporal domain evolution during tip scanning, but their impacts on the final switching paths can be quite different. Specifically, the effect of decreasing the film thickness is similar to that of increasing the tip bias, with consistent switching paths. The tip scanning speed affects the size of domain nuclei but has a minor influence on the final switching path, consistent with our experimental observation. These results extend our current understanding of the domain switching in BFO thin films and should be instructive for practical applications.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"2789 - 2801"},"PeriodicalIF":2.3,"publicationDate":"2025-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143930034","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 : 2025-01-31DOI: 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}