Acta Mechanica最新文献

{"title":"An improvement for the Euler-Bernoulli fiber force-based beam through Simpson Integration","authors":"Ambrosios Antonios Savvides,&nbsp;Vasiliki Tsotoulidi","doi":"10.1007/s00707-025-04366-x","DOIUrl":"10.1007/s00707-025-04366-x","url":null,"abstract":"<div><p>This work proposes an improvement to the formulation of the Euler-Bernoulli fiber beam force-based element by incorporating the Simpson integration scheme for 2D field, for the integration of the stresses field over the cross section. This integration is done for the calculation of the element’s general forces (N,M) as well as the element’s flexibility matrix in both the bending and the torsional terms prior to the inversion for obtaining the stiffness matrix. This improvement has been employed in the open source computational mechanics code MSolve and a comparison with the classic trapezoidal rule integration that is implemented in Ansys and Opensees is performed. The results indicate that the proposed model provides a more robust integration for the flexibility matrix and subsequently for the stiffness matrix. Moreover, the stability of the load displacement curve in cyclic nonlinear analysis is increased, and the percentage divergence of both methods is substantially low. Specifically, in all examples, the largest relative divergence is in the order of magnitude of 5%. This applicability holds for different one-dimensional material constitutive models such as the combined nonlinear hardening, the Ramberg-Osgood and the Kent-Park concrete model. The aforementioned problems are in both uniaxial and biaxial bending, indicating the efficiency of the 2D Simpson integration scheme coherence. Finally, the examples are imposed with cyclic and monotonic static loading, which in computational terms are the most detrimental occasions for presenting a numerical instability. It is depicted that the proposed framework can result to a more stable and accurate simulations in nonlinear loading of structures.\u0000</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 7","pages":"3851 - 3872"},"PeriodicalIF":2.9,"publicationDate":"2025-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04366-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169024","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":"Analysis of coiling and deployment of a bistable composite boom with a penetration-free contact simulation procedure","authors":"Tengfei Wang,&nbsp;Yangdong Du,&nbsp;Yakun Zhao","doi":"10.1007/s00707-025-04344-3","DOIUrl":"10.1007/s00707-025-04344-3","url":null,"abstract":"<div><p>Bistable deployable composite booms (bi-DCB) made of carbon fiber reinforcement polymer (CFRP) are widely utilized as supporting and driving components in deployable space membrane structures. This paper presents a simulation procedure for the coiling and deployment process of the bi-DCB based on the absolute nodal coordinate formulation. Before the deployment analysis is performed, a quasi-static analysis is performed to establish the stable coiled configuration of the bi-DCB. A novel penetration-free contact simulation method is introduced, which comprises a penetration check module and adjustment modules for coordinate updates during each Newton–Raphson iteration. This method effectively simulates both boom-to-boom and boom-to-roller contact. CFRP bi-DCBs are fabricated, and experiments utilizing a motion capture system are carried out to validate the simulation results pertaining to the coiling and deployment processes. The findings indicate that the proposed approach agrees well with the experimental results, both in terms of stable coiled configuration and deployment trajectory. A noticeable deviation in deployment speed is observed between simulation and experimental results, with the difference primarily attributed to multiple damping mechanisms including viscous damping, friction, and air resistance.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 7","pages":"3833 - 3850"},"PeriodicalIF":2.9,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145168013","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":"Three-plateau smooth crushing responses of a bio-inspired double re-entrant combined honeycomb","authors":"Huaitong Guan,&nbsp;Xiaolong Zhang,&nbsp;Boya Xiao,&nbsp;Ruilan Tian","doi":"10.1007/s00707-025-04319-4","DOIUrl":"10.1007/s00707-025-04319-4","url":null,"abstract":"<div><p>Inspired by the butterfly profile, a novel hybrid double re-entrant combined structure (DRCS) has been designed to exhibit high energy absorption characteristics across the three plateaus. The two convex angles of the hexagonal lattice overlap with the two re-entrant angles, allowing for a smooth transition between plateaus. Two types of DRCSs are constructed by considering right (DRCS-I) and obtuse (DRCS-II) angles, respectively. Numerical simulations indicate that, under low-velocity crushing conditions, the introduction of a smooth re-entrant structure enables DRCS-I to undergo a three-step deformation mode, corresponding to three distinct plateau stresses. The stress–strain curves exhibit a smooth rise during the transition between plateaus, with no abrupt pulse-shaped peak stress variations, as anticipated. Moreover, the right-angle effect introduced by DRCS-I induces a staircase-shaped rise in the stress–strain curve, and the average plateau stress is 1.95 times that of DRCS-II in the second stage. As for medium-velocity crushing, DRCS-I exhibits a two-step deformation mode, with the average plateau stress in the second stage being 1.38 times that of DRCS-II, while the right-angle effect still plays a stable role. For high-velocity crushing, the right-angle effect causes the stress–strain curve to oscillate gently due to the presence of the vertical strut. Furthermore, based on energy conservation theory, it is revealed that the higher average plateau stress and specific energy absorption (SEA) characteristics of DRCS-I depend on its novel right-angle structural design, unique three-step deformation mode, and plastic hinge dissipation.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 6","pages":"3763 - 3785"},"PeriodicalIF":2.9,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164591","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":"SH waves travel with a layered elastic semi-space considering surface, nonlocal, and strain gradient effects","authors":"Xuan Wang,&nbsp;Feng Jin","doi":"10.1007/s00707-025-04311-y","DOIUrl":"10.1007/s00707-025-04311-y","url":null,"abstract":"<div><p>With flourishing development in 5G wireless communication and non-destructive tests, the mechanical attributes of ultrahigh-frequency surface acoustic waves should spark considerable attraction. At the same time, the wavelength of surface acoustic waves arrives at micrometers, while the operational frequency of surface waves outperforms 1 GHz. Thereupon, the wavelengths of the GHz and THz waves are so small that size effects must be involved. Furthermore, to explicitly quantify the influence of the gradient elasticity of the bulk and surface layers on the shear horizontal (SH) waves’ properties, we consider the surface stress, the nonlocal, and gradient elastic theories to obtain the phase velocity equations of the SH wave in an elastic nanoplate overlaid on an elastic half-space. It is concluded that the gradient elasticity plays a paramount role in the attributes of SH waves, while the operational frequency or wavelength is ultrahigh or ultrasmall. In addition, we examine a case in which no waves are in the structure, considering strain gradients. It is valid if the elastic layer thickness, <i>h,</i> significantly exceeds the strain gradient constant, <i>l</i>₂. The research could offer a workflow for triggering burgeoning developments of the fabrication of the high-performance SAW nanosensors.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 6","pages":"3747 - 3762"},"PeriodicalIF":2.9,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145143525","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":"High-precision surrogate modeling for uncertainty quantification in complex slurry flows","authors":"M. Elkarii,&nbsp;R. Boukharfane,&nbsp;N. El Moçayd","doi":"10.1007/s00707-025-04348-z","DOIUrl":"10.1007/s00707-025-04348-z","url":null,"abstract":"<div><p>Slurry transportation via pipelines is essential for global industries, offering efficiency and environmental benefits. Specifically, the precise calibration of physical parameters for transporting raw phosphate material to fertilizer plants is crucial to minimize energy losses and ensure secure operations. Computational fluid dynamics is commonly employed to understand solid concentration, velocity distributions, and flow pressure along the pipeline. However, numerical solutions for slurry flows often entail uncertainties from initial and boundary conditions, emphasizing the need for quantification. This study addresses the challenge by proposing a framework that combines proper orthogonal decomposition and polynomial chaos expansions to quantify uncertainties in two-dimensional phosphate slurry flow simulations. The use of surrogate modeling methods, like polynomial chaos expansion, proves effective in reducing computational costs associated with direct stochastic simulations, especially for complex flows with high spatial variability, as observed in phosphate slurries. Unlike most studies that consider 0D or 1D quantities of interest, our approach analyzes the results of the UQ process in a two-dimensional spatial context while relying on fully three-dimensional simulations that capture secondary flows, turbulence effects, and other three-dimensional phenomena. Numerical results demonstrate the accuracy of the non-intrusive reduction method in reproducing mean and variance distributions. Moreover, the uncertainty quantification analysis shows that the reduced-order model significantly reduces computational costs compared to the full-order model.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 6","pages":"3719 - 3745"},"PeriodicalIF":2.9,"publicationDate":"2025-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164949","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":"Fractional triple-phase lag theory with non-singular kernels: analyzing the thermo-viscoelastic behavior of living skin tissue with bioheat transfer","authors":"Ahmed E. Abouelregal,&nbsp;Mohamed G. Salem,&nbsp;Yazeed Alhassan,&nbsp;Hamid M. Sedighi,&nbsp;Mohammad Kordi","doi":"10.1007/s00707-025-04326-5","DOIUrl":"10.1007/s00707-025-04326-5","url":null,"abstract":"<div><p>This study underscores the critical role of thermodynamics in understanding the response of living skin tissues to thermal interventions. Focusing on medical applications like laser therapy and cryotherapy, we introduce a novel fractional bioheat transfer model incorporating the triple-phase-lag (TPL) theory. This model, utilizing Atangana–Baleanu (AB) fractional derivatives with non-singular kernels, offers a more accurate representation of heat transfer and stress propagation within human skin compared to traditional models. Applied to viscoelastic skin tissue, our model reveals that increasing the fractional order leads to delayed thermal responses and gradual temperature and displacement variations, effectively capturing the memory effects inherent in viscoelastic materials. Notably, heightened viscosity significantly prolongs thermal recovery, increasing the time required for the tissue to return to its baseline state after thermal shock. These findings emphasize the crucial influence of viscoelastic properties and memory effects on the thermal and mechanical behavior of biological tissues. This research advances our understanding of thermal dynamics in human skin, demonstrating the value of combining fractional bioheat transfer models with TPL theory. This enhanced modeling framework has the potential to significantly improve therapeutic strategies in diverse medical applications.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 6","pages":"3669 - 3694"},"PeriodicalIF":2.9,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145163539","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":"On the subloading surface model for metals: some insights and an efficient numerical implementation","authors":"Theodore L. Chang","doi":"10.1007/s00707-025-04339-0","DOIUrl":"10.1007/s00707-025-04339-0","url":null,"abstract":"<div><p>In this work, we revisit the subloading surface model, as well as its extended version. By investigating its original formulation, we provide an alternative interpretation. With which, it is shown that the corresponding evolution rules of historic variables can be greatly simplified. The proposed evolution rules are analytically more concise and possess straightforward implications that can be easily illustrated while remain mathematically equivalent to the original ones. Based on the new proposal, an implicit numerical algorithm is presented. Compared to the previous implementation, the new algorithm is more efficient and robust. Additional insights regarding the unconventional (un)loading criterion and the specific form of some functions are also discussed.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 6","pages":"3695 - 3717"},"PeriodicalIF":2.9,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04339-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164239","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":"Effects of the initial stress and imperfect interface on scattering of shear horizontal (SH) waves by the piezoelectric material cylinder embedded in an elastic medium","authors":"Jingjing Zhao,&nbsp;Xiaoxue Li,&nbsp;Chunlong Gu,&nbsp;Dongxia Lei,&nbsp;Zhiying Ou","doi":"10.1007/s00707-025-04345-2","DOIUrl":"10.1007/s00707-025-04345-2","url":null,"abstract":"<div><p>Effects of the initial stress and imperfect interface on scattering of SH waves by the piezoelectric material cylinder embedded in an infinite elastic medium have been investigated in this article. The analytical expressions of the mechanical displacement, dynamic stress, electric potential, and electrical displacement are obtained using wave function expansion method. By simulating the imperfect interface with piezoelectric spring models, the effects of the initial stress and imperfect interface on the mechanical displacement, dynamic stress, electric potential, and electrical displacement around the interface between the piezoelectric material cylinder and elastic medium are discussed in detail. Numerical results show that there is no evident effect of the initial stress on the mechanical displacement, dynamic stress, electric potential, and electrical displacement of low frequency waves, these parameters decrease as the initial stress increases for high frequency waves. As the degree of the interface imperfection increases, the dynamic stress increases but the electric potential and electrical displacement decrease. The results obtained in the article are significant for designing high-performance piezoelectric acoustic wave devices.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 6","pages":"3651 - 3667"},"PeriodicalIF":2.9,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145162647","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":"Study on the performance optimization of circular dielectric elastomer membrane actuator by charge compensation methods","authors":"Guang-hong Miao,&nbsp;Cheng Yuan,&nbsp;Xiang-yu Chu,&nbsp;Shun Li,&nbsp;Shi-qiang Zhu,&nbsp;Si-lu Zhao","doi":"10.1007/s00707-025-04343-4","DOIUrl":"10.1007/s00707-025-04343-4","url":null,"abstract":"<div><p>This study develops a physical model based on the principle of non-equilibrium thermodynamics and the theory of nonlinear dissipative dielectrics to describe the effects of viscoelasticity and charge leakage on the electromechanical coupling behavior of circular dielectric elastomer membrane actuators. Through theoretical analysis and numerical simulations, this study systematically investigates the electromechanical response characteristics of membrane actuators under charge-controlled conditions. The effects of charge leakage and viscoelasticity on the performance of the actuator are mainly discussed. An optimized charge compensation method is proposed to eliminate the limitation of the combined effect of charge leakage and viscoelasticity on the performance of the membrane. The research results indicate that charge leakage causes a gradual decrease in the deformation of the membrane actuator. While compensating for the leaked charge helps maintain a high level of stretching, precise control of membrane deformation is difficult due to the inability to suppress viscoelastic effects. The improved charge compensation method proposed in this study effectively stabilizes the deformation of the membrane by simultaneously suppressing the coupling effects of charge leakage and viscoelasticity, enabling stable deformation control over any specified time period. After charge compensation, the radial stretch of the membrane is maintained at the level corresponding to the compensation moment. The value of the radial viscoelastic stretch gradually approaches and eventually equals the radial stretch, thereby keeping the membrane strain constant. Meanwhile, the surface charge of the membrane tends to stabilize, with the rate of change of the surface charge equal to the leakage current. These research findings aim to provide theoretical guidance for the application of circular dielectric elastomer membrane actuators in soft robotics, artificial muscles, intelligent systems, and other fields, offering optimization insights for their design and control in dynamic environments.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 6","pages":"3629 - 3650"},"PeriodicalIF":2.9,"publicationDate":"2025-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145161877","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":"Study of stress transfer in a rectangular patch-reinforced composite with partially unidirectional or bidirectional damage interfaces under shear loading","authors":"Si-Yu Guo,&nbsp;Hui-Ying Zhang,&nbsp;Yan-Gao Hu","doi":"10.1007/s00707-025-04340-7","DOIUrl":"10.1007/s00707-025-04340-7","url":null,"abstract":"<div><p>The paper aims to examine the shear stress transfer mechanisms in rectangular patch-reinforced composites subjected to shear loading. A two-dimensional (2-D) shear-lag model was employed to assess the influence of interface elasticity and damage on the transfer of stress within the patch layer and the adhesive layer. The impact of Poisson's ratio of the substrate and the patch, aspect ratio and thickness ratio on the stress distribution within the composite was also investigated. The results demonstrate a satisfactory agreement between the stress distribution solution predicted by the 2-D model in this study and the finite element (FE) results, indicating a good consistency between theoretical predictions and FE simulations.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 6","pages":"3593 - 3628"},"PeriodicalIF":2.9,"publicationDate":"2025-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145161749","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}