{"title":"Vibrational characteristics of rotating GNPs-reinforced piezoelectric composite microplates under thermo-mechanical-electro load","authors":"Jianshi Fang, Xu Zhang, Yongbin Guo, Chaofan Du, Liang Li, Dingguo Zhang","doi":"10.1007/s00707-026-04713-6","DOIUrl":"10.1007/s00707-026-04713-6","url":null,"abstract":"<div><p>This paper presents a thermo-mechanical-electro coupling dynamic model for the free and forced vibration analysis of rotating graphene nanoplatelets (GNPs)-reinforced piezoelectric composite microplates subjected to external mechanical and electric loads in thermal environment. Three different GNPs dispersion patterns describe the thickness-wise variations of material properties, which are then evaluated by the extended rule of mixture and Halpin–Tsai micromechanics model. Based on the first-order shear deformation theory (FSDT) and modified couple stress theory (MCST), the governing equations for the rotating piezoelectric composite microplate are established by the Hamilton’s principle, and are subsequently discretized by the Chebyshev-based Galerkin method. The complex mode analysis method is adopted to deal with the free vibration and the four-order Runge–Kutta-Merson’s algorithm is utilized to solve the dynamic responses. The convergence and comparative studies are first carried out to validate the effectiveness of the present method. The effects of load type, damping coefficient, angular velocity, hub radius ratio, small-scale parameter, external voltage, temperature rise as well as the dispersion pattern, weight fraction and piezoelectricity of GNPs on the modal characteristics and dynamic responses of the rotating piezoelectric composite microplates are discussed in detail. The coupling of rotational and deformation motions in the present model demonstrates comprehensive and complicated modal characteristics. The numerical results show that GNPs are the great potential reinforcements for improving the structural stiffness and piezoelectric performance in design of smart piezoelectric composite structures.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 8","pages":"4383 - 4414"},"PeriodicalIF":4.0,"publicationDate":"2026-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148878059","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 : 2026-04-24DOI: 10.1007/s00707-026-04714-5
Jihai Yuan, Tao He, Changping Chen, Shaw Voon Wong
{"title":"A theoretical formulation for frequency analysis of thin shells laminated with LASMP","authors":"Jihai Yuan, Tao He, Changping Chen, Shaw Voon Wong","doi":"10.1007/s00707-026-04714-5","DOIUrl":"10.1007/s00707-026-04714-5","url":null,"abstract":"<div><p>Under light exposure, light-activated shape-memory polymer (LASMP) exhibits variational Young’s modulus. With this non-contact mechanism, frequency manipulation of LASMP laminated structures, i.e., beams, plates, rings and shells, can be realized. A theoretical formulation for frequency analysis of thin shells laminated with LASMP is presented in this work. The versatility of the proposed formulation focuses on two parts: (1) mathematical formulation of LASMP laminated non-shell and shell structures for frequency manipulation can be directly expressed using two curvature radii and two Lamé parameters of the defined structure; (2) multiple LASMP patches with arbitrary location, area (total area of the patches less than the host structure) and shape can be designed for better frequency control effect. In order to show simplification procedures, the thin shells laminated with LASMP patches are simplified to four cases, for example, a beam, a plate, a circular ring and a cylindrical shell. Results demonstrate the versatility and validity of the proposed theoretical formulation.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 8","pages":"4349 - 4364"},"PeriodicalIF":4.0,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148878031","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 : 2026-04-24DOI: 10.1007/s00707-026-04719-0
Guanghong Miao, Shun Li, Cheng Yuan, Shiqiang Zhu, Silu Zhao
{"title":"Effect of humidity on the static–dynamic electromechanical performance of viscoelastic dielectric elastomers in pure shear state","authors":"Guanghong Miao, Shun Li, Cheng Yuan, Shiqiang Zhu, Silu Zhao","doi":"10.1007/s00707-026-04719-0","DOIUrl":"10.1007/s00707-026-04719-0","url":null,"abstract":"<div><p>In recent years, the effect of humidity on the electromechanical performance of viscoelastic dielectric elastomers has garnered significant attention; however, systematic studies on their nonlinear dynamics remain limited. This paper establishes a dynamic model of the dielectric elastomer system that accounts for humidity under pure shear conditions, based on the non-conservative Euler–Lagrange equation. Numerical simulations are conducted to investigate the static and dynamic characteristics of the dielectric elastomer system under direct current, ramp, and sinusoidal voltages. The results indicate that humidity significantly influences both the dielectric elastomer system’s total and inelastic stretch deformations and the action mechanism is different under different voltages. The effects of humidity on spring deformation under direct current voltage and resonance behavior under sinusoidal voltage are analyzed separately. Finally, the effects of humidity on the nonlinear vibrational response and stability of the system were investigated using the phase diagram and Poincaré phase diagram. This study provides a theoretical foundation for the design and application of dielectric elastomer actuators while considering the effects of humidity.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 8","pages":"4365 - 4381"},"PeriodicalIF":4.0,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148878040","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 : 2026-04-20DOI: 10.1007/s00707-026-04708-3
Changsong Zhu, Ziqi Xu, Guoquan Nie, Jinxi Liu
{"title":"Analytical and numerical studies on nonlinear free vibration of a piezoelectric semiconductor cylindrical shell","authors":"Changsong Zhu, Ziqi Xu, Guoquan Nie, Jinxi Liu","doi":"10.1007/s00707-026-04708-3","DOIUrl":"10.1007/s00707-026-04708-3","url":null,"abstract":"<div><p>The analytical and numerical studies on the nonlinear free vibration of a piezoelectric semiconductor (PS) cylindrical shell are carried out within the framework of the first-order shear deformation theory and PS theory. The nonlinear vibration governing equations of the PS cylindrical shell are achieved by using the condition of charge continuity and Hamilton’s principle. The analytical and numerical solutions of the nonlinear vibration responses are obtained by using the harmonic balance method and Runge–Kutta method to solve the governing equations, respectively. Through numerical examples, the influence of the initial electron concentration, radius-to-thickness ratio, length-to-thickness ratio, initial displacement, geometric linearity and geometric nonlinearity on the nonlinear vibration frequency and displacement–time curves is shown in detail. The main innovation of the current study is that the analytical solutions of the nonlinear vibration responses are presented and the difference between the linear vibration and the nonlinear vibration is illustrated. The calculating results also indicate that the vibration attenuation of the PS cylindrical shell may be effectively controlled by selecting an appropriate initial electron concentration and geometric parameter.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 8","pages":"4329 - 4348"},"PeriodicalIF":4.0,"publicationDate":"2026-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148878220","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 : 2026-04-20DOI: 10.1007/s00707-026-04656-y
Michał Niedzielczyk, Cezary Graczykowski, Lech Knap
{"title":"Adaptable airbag-based system with semi-passive valve for improved impact protection","authors":"Michał Niedzielczyk, Cezary Graczykowski, Lech Knap","doi":"10.1007/s00707-026-04656-y","DOIUrl":"10.1007/s00707-026-04656-y","url":null,"abstract":"<div><p>Ensuring effective protection for payloads during aerial operations—whether involving drones, helicopters, or airdropped objects—remains a critical challenge due to their widespread commercial and military use. This paper proposes an adaptable airbag-based protection system equipped with innovative semi-passive valve for controlled gas outflow. The introduced valve incorporates a custom-shaped shutter vent and, unlike typical kinematics-driven solutions such as metering pins, utilizes pressure-driven motion of a mobile valve’s piston during the landing process. The predesigned dynamics of the valve’s piston enables the required change in the shutter vent area, allowing precise outflow control and consequently ensuring desired force and deceleration profiles. Optimal valve design is achieved through a hybrid analytical–numerical method, iteratively alternating between an analytical system model and CFD simulations of gas outflow. It is demonstrated that the proposed adaptable system dissipates the entire impact energy and maintains protected object’s deceleration at almost constant level, achieving efficiency comparable to semi-active systems. As a result, it effectively minimizes overloads during emergency landings and increases safety of passengers and payloads.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 8","pages":"4305 - 4327"},"PeriodicalIF":4.0,"publicationDate":"2026-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148878219","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 : 2026-04-18DOI: 10.1007/s00707-026-04679-5
Oleksii Vodka, Mariia Shapovalova
{"title":"Elastic constants and yield surface estimation in polycrystalline materials: a probabilistic approach","authors":"Oleksii Vodka, Mariia Shapovalova","doi":"10.1007/s00707-026-04679-5","DOIUrl":"10.1007/s00707-026-04679-5","url":null,"abstract":"<div><p>Today, determining mechanical behavior of polycrystalline materials is possible through experimental studies; however, the approach requires considerable financial resources and specific equipment. The other way to handle the above problem is through mathematical modeling and data analysis. This paper discusses the method of creating datasets that describe the mechanical behavior of two-component polycrystalline materials. Also, the data analysis is provided, which allows for determining the probabilistic characteristics of the elastic constants as well as the yield surface. To build the datasets, mathematical modeling capabilities, in particular the DAMASK virtual lab, are used. The microstructure of the material is constructed using the probabilistic cellular automata method. The datasets obtained are analyzed using mathematical statistics. The probability density functions as well as their parameters are determined. Based on the statistical data, the probabilistic yield surface is constructed and the probability of occurrence of plastic strains is determined. As a result of the work, the values of probabilistic characteristics of elastic constants and the yield surface are obtained. Also, the probability of occurrence of the plastic strains is determined. To demonstrate the method, the stress analysis is performed using a plate with a hole.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 8","pages":"4283 - 4304"},"PeriodicalIF":4.0,"publicationDate":"2026-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148878218","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 : 2026-04-16DOI: 10.1007/s00707-026-04685-7
Pawan Kumar, Sontipee Aimmanee
{"title":"Multi-directional isogeometric analysis of hygrothermal vibration responses in circular/annular nano-functionally graded piezoelectric porous plates resting on variable foundations","authors":"Pawan Kumar, Sontipee Aimmanee","doi":"10.1007/s00707-026-04685-7","DOIUrl":"10.1007/s00707-026-04685-7","url":null,"abstract":"<div><p>In this paper, we introduce a multi-directional isogeometric analysis (IGA) method to evaluate the natural frequency response for multi-directional functional gradient (MFG) plates, with a particular focus on the hygrothermal-free vibration behavior of circular/annular nano-functionally graded piezoelectric (NFGP) plates resting on a variable elastic foundation. An efficient nonuniform rational B-spline numerical method is developed using nonlocal strain gradient theory and first-order shear deformation theory (FSDT) to account for changes in porosity and variable elastic foundations. A series of numerical examples demonstrates the method’s accuracy and effectiveness, capturing key phenomena such as the consistent frequency reduction in annular plates compared to circular ones and the counterintuitive frequency increase under specific nonuniform hygrothermal loads. The influence of various parameters, including nonlocal parameters, porous size and distribution, temperature and humidity conditions, and variable elastic foundation, on the natural frequencies is systematically investigated. This study shows that the parabolic variable foundation yields superior frequency improvement compared to other variable foundations. Additionally, applied voltage and hygrothermal loading significantly influenced the vibration responses, and strong coupling is observed between parabolic variable foundations and hygrothermal conditions. This study establishes a comprehensive computational foundation for designing advanced nano-electromechanical systems (NEMS) and optimizing smart structures under multifield loading.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 8","pages":"4253 - 4281"},"PeriodicalIF":4.0,"publicationDate":"2026-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148877977","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 : 2026-04-13DOI: 10.1007/s00707-026-04703-8
Sourov Roy, Abhijit Lahiri
{"title":"Analysis of fractional-order thermoelasticity with a heat source and three relaxation times","authors":"Sourov Roy, Abhijit Lahiri","doi":"10.1007/s00707-026-04703-8","DOIUrl":"10.1007/s00707-026-04703-8","url":null,"abstract":"<div><p>In this work, we investigate a two-dimensional modified fractional-order dual-phase-lag (DPL) thermoelastic problem in a half-space medium subjected to both stationary and moving heat sources. The model incorporates three distinct thermal relaxation times and employs Caputo-type fractional derivatives to capture memory effects in the time domain. The governing partial differential equations are reduced to a system of ordinary differential equations using harmonic wave-type transformations. These equations are formulated in vector–matrix form and solved analytically via the eigenvalue approach. Closed-form expressions for displacement, stress, and temperature fields are obtained under various generalized thermoelasticity frameworks, including Green–Lindsay (GL) and dual-phase-lag (DPL) theories. Numerical simulations are carried out using MATLAB to illustrate the influence of fractional-order parameters, relaxation times, and the nature of the heat source on the resulting thermoelastic responses. The results provide insights into the behavior of fractional dual-phase-lag models and their applicability in describing complex thermal–mechanical interactions in elastic continua.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 8","pages":"4237 - 4252"},"PeriodicalIF":4.0,"publicationDate":"2026-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148878217","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 : 2026-04-11DOI: 10.1007/s00707-026-04663-z
Rabab Alzahrani, Murdhy A. Aldawsari, Atef Ismail, Mohamed I. M. Hilal
{"title":"Modeling of thermoelastic response of living skin tissue to magnetic shock and laser irradiation using the GN type II model","authors":"Rabab Alzahrani, Murdhy A. Aldawsari, Atef Ismail, Mohamed I. M. Hilal","doi":"10.1007/s00707-026-04663-z","DOIUrl":"10.1007/s00707-026-04663-z","url":null,"abstract":"<div><p>Biothermomechanics encompasses bioheat transfer, biomechanics, burn damage, and physiological aspects. Living skin tissue is one of the most important branches of biothermomechanics, as it has applications in clinical treatments. This paper addresses the thermoelastic responses of living biological skin tissues subjected to a magnetic shock from a continuous magnetic source without energy dissipation. The skin tissue studied is subjected to radiational and thermal heating from a short laser pulse in the context of generalized thermoelasticity with the Green–Naghdi (GN) model. Laplace transform and numerical inverse transform methods are employed to determine the variations in displacement, temperature increment, and stress tensor. The effects of the laser incident beam and thermal damage on the thermoelastic behaviors of living skin tissue were specifically discussed. The absorbed energy in the discussed skin tissue played a crucial role in determining the propagation speed of thermal waves in the framework of the GN model of thermoelasticity. The novelty of the present study summarized as it extends the GN thermoelastic framework to living skin tissue under combined magnetic and laser excitations, revealing how absorbed energy controls thermal wave propagation and damage. This dual-physics, clinically relevant modeling approach is a new contribution to biothermomechanics and biomedical engineering<b>.</b></p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 8","pages":"4191 - 4205"},"PeriodicalIF":4.0,"publicationDate":"2026-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148877976","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 : 2026-04-10DOI: 10.1007/s00707-026-04697-3
Talha Khan, Zheyan Jin, Aneela Bibi, Zhigang Yang
{"title":"Effect of aspect ratio on splash morphology in a liquid film impact","authors":"Talha Khan, Zheyan Jin, Aneela Bibi, Zhigang Yang","doi":"10.1007/s00707-026-04697-3","DOIUrl":"10.1007/s00707-026-04697-3","url":null,"abstract":"<div><p>Droplet dynamics is central to a range of processes from inkjet printing and spray cooling to aerosol dispersion and crop spraying. While most studies assume spherical droplets, real-world droplets rarely conform to this ideal shape. They deform, oscillate, and strike surfaces in various non-spherical forms. In this study, we numerically investigate how pre-impact droplet shape, quantified through the aspect ratio (<i>AR</i> = radial/vertical), governs splash behavior upon impact with a thin liquid film. Using two-dimensional simulations, we systematically vary <i>AR</i> from 0.5 (highly prolate) to 1.0 (ideal spherical) to 2.0 (highly oblate) while keeping volume and film conditions constant. The results reveal that droplet shape influenced by aspect ratio significantly alters splash onset time, crown geometry, and secondary droplet generation. Prolate droplets tend to suppress splashing, while oblate droplets amplify it, demonstrating that shape alone can shift the impact regime. To unify the effects of inertia and geometry, we propose a scaling law for splash onset time as <span>(tau _{{splash}} sim frac{1}{{{text{AR}}^{{frac{3}{4}}} .sqrt {{text{We}}} }})</span>. This relation shows strong agreement with the results and provides a predictive tool for modeling splash thresholds. Our findings emphasize the need to reconsider the spherical droplet assumption and recognize aspect ratio as a governing parameter in impact dynamics.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 8","pages":"4207 - 4221"},"PeriodicalIF":4.0,"publicationDate":"2026-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148878179","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}