Acta Mechanica最新文献

{"title":"High-order finite element investigation of nonlinear buckling and post-buckling behavior of porous FGM plates on elastic foundations","authors":"Hamza Chaabani,&nbsp;Abdessamed Baaddi,&nbsp;Lhoucine Boutahar,&nbsp;Khalid El Bikri","doi":"10.1007/s00707-025-04322-9","DOIUrl":"10.1007/s00707-025-04322-9","url":null,"abstract":"<div><p>This study extensively examines the stability and post-buckling characteristics of porous functionally graded material (FGM) plates supported on a geometrically nonlinear Winkler/Pasternak elastic foundation. The analysis utilizes the high-order continuation finite element approach (FE-HOCA), which incorporates high-order shear deformation theory (HOSDT) and employs the numerical asymptotic method. The research explicitly explores the impacts of both even and uneven porosity distributions and the effects of foundation parameters on the buckling and post-buckling behavior of FGM plates. A notable aspect of the FE-HOCA is its adaptive step size, which adjusts to local nonlinearities within the solution, thereby improving the curve-tracing process and aiding in identifying bifurcation points. By utilizing a Taylor series expansion of the governing equilibrium equations, the method reformulates them into a recursive sequence of linear subproblems for each order. Discretization is performed using an eight-node quadrilateral finite element, with nine degrees of freedom assigned to each node. Furthermore, the continuation algorithm enables tracing entire solution branches by inverting the tangent matrix only once per branch, resulting in considerable computational efficiency compared to conventional Newton–Raphson methods, which are typically more resource-intensive and solve iteratively. Various numerical examples and parametric investigations illustrate the effectiveness of the FE-HOCA, analyzing the influences of porosity distribution, foundation stiffness, power-law index, and boundary conditions on the overall structural response.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"3231 - 3265"},"PeriodicalIF":2.3,"publicationDate":"2025-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143929930","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":"Utilizing star-shaped auxetic metabeams for piezoelectric vibration energy harvesting","authors":"Farzad Ebrahimi,&nbsp;Mahdi Parsi","doi":"10.1007/s00707-025-04291-z","DOIUrl":"10.1007/s00707-025-04291-z","url":null,"abstract":"<div><p>This study introduces a star-shaped auxetic cantilever beam for vibration energy harvesting applications. Auxetic materials, characterized by a negative Poisson’s ratio, produce uniform stresses under mechanical loading, making them ideal for enhancing power generation in energy harvesters. The proposed design consists of two piezoelectric layers and a star-shaped auxetic structure that converts mechanical input into electrical energy. The piezoelectric layers are assumed to be wired in parallel configurations. The beam is excited by base motion, with its response analyzed through translational and rotational dynamics and a tip mass attached at its free end. A Timoshenko beam model is developed to derive the coupled electromechanical equations of the auxetic harvester, and an exact solution is employed to evaluate its electrical performance. A 3D finite element model is also constructed to validate the analytical model, with convergence and comparison studies confirming its stability and accuracy. A parametric study investigates the influence of design parameters on the harvested power, revealing that larger auxetic core inclination angles and greater cell rib thickness maximize the power output. The star-shaped auxetic energy harvester achieves a 43% higher output voltage compared to a conventional aluminum harvester under equivalent operating conditions while also reducing weight by 20% without compromising power output. These findings highlight the potential of auxetic structures and multipurpose composites in advancing vibration-based energy harvesting technologies and broader engineering applications.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"2895 - 2919"},"PeriodicalIF":2.3,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143929980","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":"Evaluation of mechanical behavior of textile microfibers","authors":"Jie Liu,&nbsp;Yu Fu,&nbsp;Mostafa Habibi,&nbsp;Y. Sun","doi":"10.1007/s00707-025-04314-9","DOIUrl":"10.1007/s00707-025-04314-9","url":null,"abstract":"<div><p>Polymers have extensive applications in various industries. One of them is the application of polymer materials in the textile industry which is an important and profitable industry. Assessment of physical and chemical properties of polymers can serve for analysis purposes of constitutive materials of apparel. This paper presents a mechanical study on the torsional dynamic behavior of textile microfibers i.e., polyester and nylon which are the common materials in the textile industry. As observed in the former investigation, microfibers have different cross-sections. Hence, elliptical and triangular shapes are considered for cross-section of textile microfibers. Nonlocal strain gradient theory in conjunction with Timoshenko-Gere theory is implemented to derive the partial differential governing equations of polyester and nylon microfibers. The accuracy of the utilized methodology is compared with the findings of former investigations. Moreover, two boundary conditions i.e., clamped–clamped and clamped-free are taken into account. At last, the impacts of various remarkable variants including microfibers cross-section geometry parameters, length scale, and nonlocal parameters on the variation of natural torsional frequency are evaluated and demonstrated in a set of tables and diagrams.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"3081 - 3094"},"PeriodicalIF":2.3,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143930055","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":"Singular integral equations for multiple cracks in a heated plate subjected normal stress","authors":"S. K. Zhuang,&nbsp;N. M. A. Nik Long,&nbsp;K. B. Hamzah,&nbsp;N. Senu","doi":"10.1007/s00707-025-04323-8","DOIUrl":"10.1007/s00707-025-04323-8","url":null,"abstract":"<div><p>In this paper, the interaction of multiple cracks in an infinite plate subjected to remote stress and heat flux is investigated. The problem is formulated as two sets of singular integral equations, corresponding to the heat flux problem and the stress problem, respectively. The equations for heat flux is first solved for the unknown temperature jump function, which later be used to solve for the crack opening displacement function in the heat stress equation. This method does not require a direct solution of the heat flux problem. Subsequently, the stress intensity factors for various double-crack configurations are computed and presented.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"3267 - 3279"},"PeriodicalIF":2.3,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143930056","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":"Parameterized method for standard rational absolute nodal coordinate formulation circular arc element","authors":"Wenshuai Zhang,&nbsp;Manyu Shi,&nbsp;Manlan Liu,&nbsp;Peng Lan","doi":"10.1007/s00707-025-04288-8","DOIUrl":"10.1007/s00707-025-04288-8","url":null,"abstract":"<div><p>In engineering applications, connecting free-form curves with circular arcs is often necessary, emphasizing the significance of a standardized representation for circular arcs. This study proposes a novel method for constructing a parametric standard Rational absolute nodal coordinate formulation (RANCF) circular arc element based on the positional coordinates of its geometric configuration. The proposed method derives parameterized expressions for the nodal coordinates and weight vectors of the element. By adjusting the parameter value, the nodal coordinates and corresponding weights of the element can be flexibly modified, allowing the same geometric configuration of RANCF circular arc elements to be represented with different parameters. The primary distinction between RANCF circular arc elements with different parameters lies in the varying mapping relationships between the parameter space and the physical space. This mapping relationship can be adjusted through rational parameter transformations, enabling the conversion of different parameterized RANCF circular arc elements that represent the same geometric configuration. To evaluate the quality of different parameterized standard RANCF elements, we propose a criterion based on minimizing the cumulative gradient difference. The findings show that when the parameter value equals 1, corresponding to chord length parameterization, the standard RANCF circular arc element exhibits optimal performance. Numerical examples are provided to compare the performance of various parametric standard RANCF circular arc elements, demonstrating that convergence can be achieved using fewer optimized parametric elements.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"2845 - 2864"},"PeriodicalIF":2.3,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143930057","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":"Electromechanical energy conversion in a piezoelectric porous plate","authors":"Qiuyue Huang,&nbsp;Xiaoxue Li,&nbsp;Chunlong Gu,&nbsp;Dongxia Lei,&nbsp;Zhiying Ou","doi":"10.1007/s00707-025-04328-3","DOIUrl":"10.1007/s00707-025-04328-3","url":null,"abstract":"<div><p>The mechanical-to-electrical power conversion of a piezoelectric porous plate driven mechanically by thickness-stretch modes has been studied in this article. An analytical solution is derived from the three-dimensional equations of linear piezoelectric porous materials by considering boundary and circuit conditions. As a numerical example, the piezoelectric porous material PZT-7H with 6 mm symmetry is considered. Effects of the driving frequency, electrical resistance, plate thickness, and porosity on output electrical power and efficiency are discussed in detail. Numerical results show that the output power density at resonant frequencies decreases as the porosity increases. The resonant frequency of the piezoelectric porous plate and output power density at the first resonant frequency decrease as the porosity and plate thickness increase. The output power density at the first resonant frequency increases for increasing the electrical resistance. The efficiency decreases as the driving frequency, electrical resistance, and porosity increase. The findings presented in this article are useful for optimization design of the piezoelectric transducers with air voids.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 6","pages":"3321 - 3335"},"PeriodicalIF":2.9,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145166146","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":"Optimizing nanoscale energy harvesting with a novel L-shaped nano-beam with nonlocal elasticity and flexoelectric effects","authors":"Chandan Pandey,&nbsp;Barun Pratiher","doi":"10.1007/s00707-025-04289-7","DOIUrl":"10.1007/s00707-025-04289-7","url":null,"abstract":"<div><p>This study introduces a novel <i>L</i>-shaped nano-beam energy harvester engineered for efficient vibration-based energy extraction at the nanoscale. The design integrates nonlocal geometric effects and flexoelectric influences, featuring a rectangular proof mass subjected to base excitation. The system’s dynamics are governed by coupled nonlinear partial differential equations (PDEs) formulated using Eringen’s theory. These equations are discretized into ordinary differential equations (ODEs) through Galerkin’s method and extended Hamilton’s principle, leading to closed-form nonlinear expressions for characteristic voltage and power. The analysis demonstrates that even a minimal increase in nonlocal parameters results in a substantial rise in voltage and power, highlighting the critical importance of size-dependent effects. This study highlights how optimizing quality factors, proof mass inertia, amplitude, forcing, and load resistance significantly enhances the harvester's output. Experimental validation demonstrates strong agreement between theoretical predictions and obtained experimental results. These findings highlight the profound impact of size-dependent and flexoelectric effects on vibration behavior and energy efficiency. The proposed framework offers promising advancements for nanodevices in applications such as the Internet of Things (IoT), wireless sensors, and broadband flexoelectric sensing technologies.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"2865 - 2894"},"PeriodicalIF":2.3,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143930051","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":"Dynamic hydro-thermo-mechanical response of the saturated cylindrical unlined tunnel based on the coupled poro-visco-thermoelastic model with new multi-dual-phase-lag heat conduction law","authors":"Dechen Wang,&nbsp;Chenlin Li,&nbsp;Liangcheng Zheng","doi":"10.1007/s00707-025-04299-5","DOIUrl":"10.1007/s00707-025-04299-5","url":null,"abstract":"<div><p>The investigation of the dynamic hydro-thermo-mechanical coupled responses of unlined tunnels in some extreme geological engineering conditions (e.g., underground explosions and laser-induced thermal rock breaking) is imperatively crucial to guarantee the mechanical strength and avoid the unwanted vibration. Nevertheless, in such ultrafast heating conduction, the existing constitutive models and impact response predictions fail to characterize the inherent phase-lagging behavior of the higher-order heat flux and temperature gradient, resulting in current transient impact response analysis on this topic being inaccurate and challengeable. To address such deficiency, the present study aims to establish a new poro-visco-thermoelastic model for saturated medium based on multi-dual-phase-lag (MDPL) heat conduction law. The newly developed model is applied to explore the transient thermal shock for cylindrical unlined tunnels in poro-visco-thermoelastic medium via Laplace transform method. The dimensionless results reveal that the high-order heat flux term and temperature gradient relaxation parameter in MDPL heat transport model lift levels of temperature, pore water pressure, displacement and radial stress, characterizing the faster propagation speeds of thermal wave in saturated cylindrical unlined tunnel.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"2943 - 2966"},"PeriodicalIF":2.3,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143930152","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":"Taylor wavelet solution procedure for the analysis of triangular porous fin made of functionally graded materials in the presence of hybrid nanofluid","authors":"N. V. Manvitha,&nbsp;B. J. Gireesha,&nbsp;K. J. Gowtham","doi":"10.1007/s00707-025-04312-x","DOIUrl":"10.1007/s00707-025-04312-x","url":null,"abstract":"<div><p>This study investigates the thermal performance of a triangular porous fin made of functionally graded materials (FGM) in presence of hybrid nanofluid under the influence of convection, radiation and internal heat generation, using the Taylor wavelet method (TWM). For the first time in the literature, the combined impacts of hybrid nanofluid and FGMs are explored to determine their impact on heat transfer enhancement. The governing dimensionless equations, containing the convective parameter, generation parameter, internal heat generation, radiation parameter, thermogeometric parameter, wet parameter and Peclet number, are solved using the TWM. The results obtained are used to unravel the impact of these parameters on the thermal profiles and heat transfer rate of linear, quadratic and exponential FGMs through graphical representation. An increase in the convective and radiative parameter enhances heat dissipation, whereas an increase in the generation parameter and internal heat generation leads to an elevation in fin temperature. Also, it can be inferred that exponential FGM achieves the highest heat transfer rate compared to other two cases. The TWM offers an accurate solution to nonlinear differential equations with a greater accuracy. The insights gained from the study are useful in advancement of thermal management in many applications.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"3055 - 3080"},"PeriodicalIF":2.3,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143930153","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":"A new class of sediment transport models for dam break problems","authors":"Arno Roland Ndengna Ngatcha,&nbsp;Daniel Bandji,&nbsp;Imad Kissami,&nbsp;Abdou Njifenjou","doi":"10.1007/s00707-025-04316-7","DOIUrl":"10.1007/s00707-025-04316-7","url":null,"abstract":"<div><p>During sudden dam breaks in shallow water environments, the water fluctuations with greater lengths of correlations are more intense. As consequence, the water flow becomes rapid and mobilizes sediments, while simultaneously modifying the bottom interface. The existing literature does not provide an averaged sediment transport model (STM) that accounts for both mean and fluctuating motions over an abrupt mobile sediment bottom. Averaged shallow water based models are frequently employed to describe sediment transport in shallow water environments. However, they are not still applicable when the flow becomes turbulent as observed during sudden dam breaks. The aforementioned classical models consider solely the mean motion of water and such consideration provides an inaccurate description of the wavefront profiles. To account the fluctuating motion of water in a STM, we will assume that <span>(|u -overline{u}|^k le tau ^k h, ;; k&gt;0)</span>, where <i>h</i> is the water depth such that <span>(|h| = mathscr {O}(varepsilon ))</span>. Additionally, we assume a weakly concentrated approximation to derive the model. The new derived model in this study builds upon previous work by several authors in 1980–2007, 2012, and 2018, while also improving upon more recent models developed in 2022 and 2023. The hyperbolic STM is subject to various complexities arising from turbulence and several nonlinear coupled terms. Furthermore, solving this problem still poses a computational challenge in terms of accuracy, convergence, robustness, and efficiency. To address this challenge, we propose a new first-order path-conservative method based on HLL Riemann solver named <span>(text {HLL}_{**})</span>. The second-order scheme is achieved by using a modified Averaging Essentially Non-Oscillatory (AENO) nonlinear reconstruction. This method is noteworthy because it generalizes several HLL-based schemes developed in recent years. Several dam break tests have been performed to assess the developed modeling. It was observed that all the admissible weak solutions of the model are numerically well represented. Furthermore, it was determined that the model improves the description of the movements of the two successive slow/fast interfaces driven by a shock. The proposed numerical modeling improves also the description of the water depth profile and the propagation of wavefronts during a dam break. The scheme captures all the admissible erosional shocks that improve the description the behavior of the bottom interface.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"3095 - 3134"},"PeriodicalIF":2.3,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143930097","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}