Acta MechanicaPub Date : 2025-04-29DOI: 10.1007/s00707-025-04341-6
Jérôme Colin
{"title":"Misfit dislocation in the corridor between two neighboring square-shaped nanowires","authors":"Jérôme Colin","doi":"10.1007/s00707-025-04341-6","DOIUrl":"10.1007/s00707-025-04341-6","url":null,"abstract":"<div><p>The equilibrium position of a gliding dislocation in the interface of a square-shaped nanowire embedded in an infinite-size matrix has been investigated from a Peach–Koehler force analysis. It is found that below a critical distance of the nanowire from its nearest neighbor, the stable equilibrium position of the dislocation in the middle of the interface becomes unstable and two symmetrical stable positions appear near the nanowire edges, which is characteristic of a supercritical bifurcation.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 6","pages":"3587 - 3591"},"PeriodicalIF":2.9,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145171110","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 : 2025-04-29DOI: 10.1007/s00707-025-04332-7
George Z. Voyiadjis, Peter I. Kattan
{"title":"Interaction of damage processes in continuum damage mechanics","authors":"George Z. Voyiadjis, Peter I. Kattan","doi":"10.1007/s00707-025-04332-7","DOIUrl":"10.1007/s00707-025-04332-7","url":null,"abstract":"<div><p>This work presents novel mathematical formulations for the interaction of damage processes within the framework of continuum damage mechanics, focusing on advanced numerical applications. The approach involves an innovative analogy between the decomposition of the damage variable/tensor and the rule of mixtures, leading to both scalar and tensorial representations. Four distinct cases are explored for each formulation: (1) basic interaction of two damage processes, (2) exponential interaction of two damage processes, (3) basic interaction of three damage processes, and (4) unsymmetrical interaction of two damage processes. The study further investigates a detailed plane stress example, where a system of nine coupled algebraic interaction equations is derived for each scenario. In particular, it is shown that these equations reduce to three core interaction equations in a special case, one of which is identified as the coupling interaction equation. The paper emphasizes mathematical rigor, with the goal of extending this research to tackle real-world problems and enhance numerical modeling techniques in future work.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 6","pages":"3565 - 3585"},"PeriodicalIF":2.9,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04332-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145171109","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 : 2025-04-28DOI: 10.1007/s00707-025-04320-x
Farzad Ebrahimi, Mohammad Mahinzare, Abbas Rastgoo, Seyede Zahra Mirsadoghi
{"title":"Chaotic and nonlinear dynamic response of hybrid nanocomposite graphene origami-enabled auxetic cylindrical shell","authors":"Farzad Ebrahimi, Mohammad Mahinzare, Abbas Rastgoo, Seyede Zahra Mirsadoghi","doi":"10.1007/s00707-025-04320-x","DOIUrl":"10.1007/s00707-025-04320-x","url":null,"abstract":"<div><p>This research offers a novel mechanical system made up of a cylinder-shaped shell with a unique structure, a hybrid nanocomposite sandwich cylindrical shell with an auxetic nanocomposite origami core. A hybrid sandwich shell exposed to preloading in the axial direction and an external excitation force. Auxetic origami shell dynamics are investigated with the Galerkin’s approach and the Runge–Kutta technique; the equations are the result of Donnell’s modified shell theory. The chaotic and nonlinear dynamic response of the hybrid auxetic sandwich shells was observed. Numerous parametric examples are provided and explored to further illustrate the effect of these factors on the three-layer spherical shell’s oscillation. The suggested approach is compared to previous efforts in the literature to ensure the correctness and precision of the numerical findings. This article aims to further investigate the performance and behavior of these shells reinforced with auxetic cores, considering the effect of porosity by examining vibrations, nonlinear dynamic analysis, and the effect of the chaos phenomenon, so this approach will enable us to utilize these enhanced structures in practical and industrial applications while improving these characteristics.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"3187 - 3210"},"PeriodicalIF":2.3,"publicationDate":"2025-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143930067","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 : 2025-04-27DOI: 10.1007/s00707-025-04338-1
Ali Kafali, Omer Kartaltepe, İsmail Esen
{"title":"Vibration analysis of smart sandwich nanoplate incorporating butterfly auxetic core and piezoelectric face layers under thermal field","authors":"Ali Kafali, Omer Kartaltepe, İsmail Esen","doi":"10.1007/s00707-025-04338-1","DOIUrl":"10.1007/s00707-025-04338-1","url":null,"abstract":"<div><p>This study comprehensively analyses the dynamic, thermal and electromechanical behaviour of sandwich plates with butterfly-shaped auxetic core. The structures, where the top and bottom layers are PZT-5H and the core is SUS304 stainless steel, are investigated under different geometric ratios (<i>β</i><sub><i>1</i></sub><i>, β</i><sub><i>2</i></sub>), inclination angles (<i>α</i><sub><i>1</i></sub>, <i>α</i><sub><i>2</i></sub>), thickness scaling (<i>h, h</i><sub>c</sub><i>, h</i><sub>p</sub>) and applied thermal and electromechanical loads. It was observed that the softening of material properties with increasing temperature leads to a decrease in natural frequencies and early buckling in the range of approximately 1450–1500 K, while piezoelectric interaction and nonlocal parameters (<i>e</i><sub><i>0</i></sub><i>a</i>, <i>l</i><sub><i>m</i></sub>) significantly modify the system dynamics. The results show that the changes in structural stiffness, mode interactions and loss of stability at critical temperature values are the main parameters to be optimized in the design of sandwich plates. These findings provide important reference information for the design and optimization of sandwich structures for advanced auxetic, vibration control and energy conversion applications.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 6","pages":"3515 - 3541"},"PeriodicalIF":2.9,"publicationDate":"2025-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04338-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145170310","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 : 2025-04-27DOI: 10.1007/s00707-025-04342-5
Youssef Hilali, Mhamed Rassam, Said Mesmoudi, Yassir Sitli, Oussama Elmhaia, Mohammed Rammane, Omar Askour, Oussama Bourihane
{"title":"A high-order approach for thermal buckling and post-buckling analysis of functionally graded sandwich beams","authors":"Youssef Hilali, Mhamed Rassam, Said Mesmoudi, Yassir Sitli, Oussama Elmhaia, Mohammed Rammane, Omar Askour, Oussama Bourihane","doi":"10.1007/s00707-025-04342-5","DOIUrl":"10.1007/s00707-025-04342-5","url":null,"abstract":"<div><p>This study presents an advanced modeling and analysis approach for the thermal buckling and post-buckling behavior of functionally graded (FG) sandwich beams. Thermal buckling, a critical instability triggered by temperature variations, is particularly significant in structures experiencing differential thermal expansion or contraction. The proposed method integrates the radial point interpolation method (RPIM) with the Taylor series continuation technique, employing a consistent linearization framework based on Timoshenko beam theory. By combining RPIM interpolation with the asymptotic numerical method (ANM), the approach ensures high accuracy and computational efficiency across various boundary conditions, material gradations, and thermal loading scenarios. The study investigates four FG sandwich beam configurations under thermal loads. Results indicate that for a clamped–clamped (C–C) FG sandwich beam of Type-A, the critical buckling temperature increases from 213.2 K (for a core thickness ratio of 1-0-1) to 283.9 K (for 1-4-1), demonstrating the influence of core thickness. In contrast, for a clamped–simply supported (C–S) Type-A beam, the critical temperature increases from 109.4 to 145.8 K with core thickness variation. Additionally, the proposed RPIM approach provides convergence with an error of less than 3.8% compared to finite element solutions, significantly reducing computational cost. The findings underscore the impact of material gradation and boundary conditions on the thermal stability of FG sandwich beams, offering valuable insights for advanced structural applications. The reliability and robustness of the proposed approach are validated through numerical examples, providing critical insights into the thermal buckling loads of FG sandwich beams under different boundary conditions.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 6","pages":"3543 - 3563"},"PeriodicalIF":2.9,"publicationDate":"2025-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145170311","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 : 2025-04-27DOI: 10.1007/s00707-025-04281-1
Anyuan Yang, Yuefeng Zhu
{"title":"Nonlinear vibrations of conductive beams exposed to magnetic traction forces and eddy currents","authors":"Anyuan Yang, Yuefeng Zhu","doi":"10.1007/s00707-025-04281-1","DOIUrl":"10.1007/s00707-025-04281-1","url":null,"abstract":"<div><p>This study explores the nonlinear vibration behavior of conductive beams influenced by magnetic traction forces and eddy currents. Novel relationships for electromagnetic interaction forces with ferromagnetic materials are derived from Maxwell’s equations and Lorentz forces. By employing the Euler–Bernoulli beam theory and the von Karman theory of large deformations, nonlinear differential governing equations are formulated. Utilizing the Galerkin method, these equations are discretized and analytically solved via the variational iteration method. Traditional perturbation methods fail due to the large coefficients and heterogeneity of the nonlinear equations, necessitating the introduction of a method of successive modifications for analytical solutions. The investigation examines the impact of various parameters on beam vibration characteristics, including time response, frequency response, and instantaneous frequency. Numerical results demonstrate that increasing magnetic field intensity leads to a reduction in oscillation amplitude, with stabilization times of 50.6 s for 2 T and 23.6 s for 4 T. Furthermore, the oscillation frequency of the system reaches saturation at 9.87 kHz under the two values of field intensity after 50 s and 20 s, respectively. Chaotic behavior, period-2, and period-3 motions can be realized under various magnetic field intensities, further confirmed by the self-similarity of Poincaré characteristic of chaotic systems. That would provide certain insights into the dynamic response of conductive beams under electromagnetic force and nonlinear damping caused by Lorentz forces.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"2803 - 2820"},"PeriodicalIF":2.3,"publicationDate":"2025-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143930012","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 : 2025-04-26DOI: 10.1007/s00707-025-04331-8
V. H. Phan, V. Monchiet
{"title":"A n-layered inclusion-based modeling to estimate permeability of multi-phase porous solids","authors":"V. H. Phan, V. Monchiet","doi":"10.1007/s00707-025-04331-8","DOIUrl":"10.1007/s00707-025-04331-8","url":null,"abstract":"<div><p>This paper concerns the determination of the permeability of multiporous solids in the framework of homogenization considering the Brinkman equation at the microscopic scale. We provide close form solutions for cylindrical and spherical unit cells constituted of <i>n</i>-layered concentric inclusions. Particular attention is paid to the choice of the conditions at the boundary of the unit cell. Specifically, four kind of boundary conditions are used in the literature and are analyzed here in the light of the Hill–Mandel lemma, leading to a hierarchy of the resulting estimate of the macroscopic permeability. Finally, comparisons for two-phase and three-phase porous solids are proposed and the accuracy of the estimates are compared with numerical solutions.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 6","pages":"3497 - 3513"},"PeriodicalIF":2.9,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145170008","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":"Effect of initial stress and inhomogeneity on the Love wave propagation in an inhomogeneous composite structure","authors":"Dinesh Kumar Majhi, Manish Kumar, Bhanu Pratap Rajak, Sumit Kumar Vishwakarma","doi":"10.1007/s00707-025-04324-7","DOIUrl":"10.1007/s00707-025-04324-7","url":null,"abstract":"<div><p>The purpose of the present paper is to discuss Love wave transmission on an inhomogeneous composite medium to illustrate the influence of inhomogeneity and pre-stresses on the velocity of the wave. The present model has been composed of a homogeneous elastic medium bounded by initially stressed inhomogeneous half-spaces with linearly varying properties in rigidity and density. The equations of coupled fields have been solved analytically with the help of Whittaker’s equation. The dispersion relation of the stated problem is secured by using the continuity assumptions. In order to compute phase velocity, mathematical data for composed half-spaces and layers have been used. These analytical studies on Love waves yield three main results: (1) The phase velocity decreases with increasing wave number. (2) The ascending of initial stresses related to lower and upper half-spaces on the composite enhances the wave velocity. (3) Also, phase velocity accelerates rapidly with ascending values of rigidity heterogeneity parameter.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"3281 - 3294"},"PeriodicalIF":2.3,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143930180","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 : 2025-04-26DOI: 10.1007/s00707-025-04318-5
Fei Dong, Yongqiang Ye, Jun Xie, Wenshuai Wang, Pengpeng Shi
{"title":"Analytical solutions for the FGM hollow cylinder and spherical shell with generalized power-exponential property in a uniform magnetic field","authors":"Fei Dong, Yongqiang Ye, Jun Xie, Wenshuai Wang, Pengpeng Shi","doi":"10.1007/s00707-025-04318-5","DOIUrl":"10.1007/s00707-025-04318-5","url":null,"abstract":"<div><p>Mechanical analyses of functionally graded materials (FGMs) are essential for accurately predicting structural performance and ensuring the reliability of FGM-based components. In this study, a unified form of the fundamental equations governing the behavior of FGM hollow cylinder and spherical shell is derived. A more comprehensive gradient model based on the generalized power-exponential function is developed to describe the variation of Young's modulus and magnetic permeability along the material's thickness. Moreover, through the selection of suitable parameters, this model can be reduced to the classical exponential and power-law gradient models. By solving the hypergeometric ordinary differential equations, general solutions for displacement and stress are obtained. Considering the six different combinations of displacement-stress boundary conditions, the analytical solutions for the mechanical response of FGM structures are derived under the combined influences of the magnetic field, external pressure, and a Winkler elastic foundation. The correctness of the proposed solution is validated by comparing it with existing analytical solutions for classical exponential and power-law FGM structures, which are special cases of the present model. Through detailed case studies, the research investigates the effects of various graded parameters, elastic foundation stiffness, and magnetic field strength on the displacements and stresses of the hollow cylinder and the spherical shell. The innovation of this study lies in proposing a more general gradient material model that can accurately describe the non-uniform variation of material properties. The findings provide valuable insights that can guide the optimal design of FGM structures using the proposed comprehensive gradient model.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"3135 - 3185"},"PeriodicalIF":2.3,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143930179","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 : 2025-04-25DOI: 10.1007/s00707-025-04335-4
Xi-meng Zhang, Hui Qi, Yi-ning Wu
{"title":"Dynamic performance of V-notch at the lower interface covered by the viscous fluid coating: Navier–Stokes equations","authors":"Xi-meng Zhang, Hui Qi, Yi-ning Wu","doi":"10.1007/s00707-025-04335-4","DOIUrl":"10.1007/s00707-025-04335-4","url":null,"abstract":"<div><p>In this paper, the dynamic problem of a V-notch at the lower interface covered by the viscous fluid coating is studied. Firstly, the expression for the incident SH wave in the viscous fluid coating is obtained by Navier–Stokes equations. Then, the analytical expression of standing wave is established by the fractional Bessel function expansion method and Graf addition theorem. Finally, large-arc assume method is applied, the elastic half space base and viscous fluid coating are divided into two strips along the horizontal interface, the straight boundaries are converted into curved boundaries, and the expressions of scattering waves caused by curved boundaries are obtained. The integral equations are set up through boundary conditions and solved by applying orthogonal function expansion technique and effective truncation. Besides, the analytical solutions are compared with the finite element solutions to verify the accuracy of the conclusions in this article. The innovation in research methods of this article is the introduction of the “large-arc assume method” and “Navier–Stokes equations.” After calculation, it can be concluded that: When <span>(beta_{1} = {{3pi } mathord{left/ {vphantom {{3pi } 4}} right. kern-0pt} 4})</span>, the value of DSCF reaches the maximum 6.61 <span>(left( {theta = - 180^circ } right))</span>.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 6","pages":"3475 - 3495"},"PeriodicalIF":2.9,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145168728","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}