Acta Mechanica最新文献

{"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":"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}

{"title":"Large eddy simulation of a turbulent submerged jet interacting with a wave environment","authors":"D. Maraglino,&nbsp;D. De Padova,&nbsp;M. Mossa,&nbsp;F. Zonta,&nbsp;A. Soldati","doi":"10.1007/s00707-025-04321-w","DOIUrl":"10.1007/s00707-025-04321-w","url":null,"abstract":"<div><p>We use numerical simulations to study the interaction between a turbulent jet, discharged vertically from a circular nozzle at the bottom of a horizontal liquid layer of height <span>(h_0=0.35)</span> m, and surface waves. All simulations are run at a fixed value of the jet Reynolds number (<span>( textrm{Re}_{j})</span> = 20,000, based on the nozzle diameter) and for two different values of the surface waves elevation, <span>(H=0.02)</span> m (simulation <i>R</i>1) and <span>(H=0.03)</span> m (simulation <i>R</i>2). A reference simulation, assuming a free surface without waves, is also performed for comparison purposes (simulation <i>R</i>0). We focus on the influence of the surface waves on the jet flow field, considering in particular the behavior of the jet width and of the mean jet velocity—which we analyze applying a phase-averaged technique. Our results show that surface waves induce a reduction of the vertical component of the jet velocity, and a corresponding increase of the horizontal components of the jet velocity. In particular, we observe that the reduction of the centerline mean vertical velocity (along the vertical direction <i>z</i>) is linear in the region close to the jet nozzle, <span>(W_0/W_msim z)</span>, but can be faster than linear (superlinear) in the region close to the liquid surface, for the larger amplitude waves. Correspondingly, the jet width increases linearly with <i>z</i>, <span>(b sim C left( z/d_0 right) )</span>, but at a slope <i>C</i> that does depend on the distance from the liquid surface. These findings suggest that surface waves enhance entrainment and dilution, offering insights for improving jet–wave interaction models and parameterizations.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"3211 - 3229"},"PeriodicalIF":2.3,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04321-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143930098","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}

{"title":"In-plane free vibration analysis of an inclined taut cable with a point mass","authors":"Moritz Patreider,&nbsp;Markus Wenin,&nbsp;Christoph Adam,&nbsp;Thomas Furtmüller","doi":"10.1007/s00707-025-04305-w","DOIUrl":"10.1007/s00707-025-04305-w","url":null,"abstract":"<div><p>An analytical theory for predicting the free in-plane vibrations of an inclined taut cable carrying a point mass is presented in this paper. A linearized eigenvalue formulation of the problem is derived. It is based on the nonlinear equations of motion and the quasi-static stretching assumption, which assumes that the dynamic tension is piecewise constant to the left and right of the point mass. By neglecting the equation of motion for the longitudinal vibrations in favor of the constitutive cable equation, the equation governing the lateral vibrations can be solved using its boundary conditions. Two coupled linear equations, whose non-trivial solution gives the natural frequencies of the system, can be constructed from the jump and continuity conditions in the longitudinal direction. The comparison of the results with those of a known Galerkin procedure shows that the analytical theory is sufficiently accurate in the applicable parameter range. These results reproduce the curve-veering and the elastic mode transition phenomena known from previous studies. As such, the theory presented here extends the range of applicability of previous analytical cable theories to include inclined cables with point masses as well.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"3001 - 3020"},"PeriodicalIF":2.3,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04305-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143930084","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}

{"title":"Nonlocal couple stress-based nonlinear flexural instability of laminated FG-GNRC microsize arches under arbitrary-located radial point load and unlike end supports","authors":"Saeid Sahmani,&nbsp;Kamila Kotrasova,&nbsp;Muhammad Atif Shahzad,&nbsp;Mona Zareichian,&nbsp;Babak Safaei","doi":"10.1007/s00707-025-04285-x","DOIUrl":"10.1007/s00707-025-04285-x","url":null,"abstract":"<div><p>This study presents a numerical investigation into the small scale-dependent nonlinear flexural instability of shallow microsize arches subjected to unlike end supports. The inhomogeneous microsize arches are constructed with a functionally graded graphene nanofiller-reinforced composite (FG-GNRC) under arbitrary-located radial point load combined with thermal conditions. In order to allow for the size dependency, the nonlocality besides the couple stress tensors is comprised within a quasi-2D parabolic shear deformable curved beam formulations. With the aid of the modified Halpin–Tsai model of micromechanics, the material characters of sandwich FG-GNRC are captured. Thenceforward, the extended isogeometric analysis is put to use embracing the insertion with the addition of multiplication of knot to manifest the necessary more depleted continuity for the coupling among the tangential and flexural reactions. It is discovered that the tensor of nonlocal stress results in to enhance the potential energies attributed to all made known condemnatory points, while it causes to decrease the correlated radial point loads. On the contrary, the tensor of couple stress plays a converse role. Withal, it is deduced that the number of condemnatory points remains unchanged after taking the consequence of temperature rise into account. What is more, as a consequence of the temperature rise, the characters of nonlocal and couple stress tensors in the quantities of radial point loads attributed to all made known condemnatory points get intense.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"2821 - 2843"},"PeriodicalIF":2.3,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143930096","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":"Analysis of the dynamic stress response of SH wave propagation in functional gradient materials","authors":"Qi Lu,&nbsp;Zhen-qing Wang,&nbsp;Yun Zhu,&nbsp;Zai-lin Yang,&nbsp;Yong Yang","doi":"10.1007/s00707-025-04306-9","DOIUrl":"10.1007/s00707-025-04306-9","url":null,"abstract":"<div><p>In this paper, the analytical solution of the SH wave propagation problems in shear modulus and density continuous nonhomogeneous medium is given based on the complex variable function method, and the scattering problem of SH waves by arbitrarily shaped cavities is studied. The shear modulus is expressed as an arbitrary continuous function, and the displacement field is firstly constructed by introducing the auxiliary function and the shear modulus variation function, and then the density variation function is constructed in a specific form by introducing the auxiliary function and the shear modulus variation function again with the help of the functional gradient material design theory. Through the special variability of medium parameters, the range of SH wave frequencies that can be propagated in the medium is limited, while the displacement fields and the inhomogeneous parameter variation function of the medium are interconnected, and further combined with the Commonality Mapping method to equivalently transform the fluctuation equation of variable coefficients into the Helmholtz equation of standard form. Assuming that the medium shear modulus varies as a natural logarithmic function and the density is composed of an exponential function compounded with a function related to the modulus, the dynamic stress distribution at the boundary of the elliptical hole is calculated and analyzed, taking elliptical hole scattering as an example. The results show that wave number, inhomogeneous parameters, hole boundary size and shape have significant effects on the dynamic stress concentration coefficient.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 5","pages":"3021 - 3034"},"PeriodicalIF":2.3,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04306-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143929996","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}