Acta Mechanica最新文献

Magnetic field and non-local effects on axial vibration of embedded nanorods reinforced with short fibers 磁场和非局部效应对短纤维增强纳米棒轴向振动的影响

IF 2.9 3区工程技术

Acta Mechanica Pub Date : 2025-07-06 DOI: 10.1007/s00707-025-04417-3

Büşra Uzun

{"title":"Magnetic field and non-local effects on axial vibration of embedded nanorods reinforced with short fibers","authors":"Büşra Uzun","doi":"10.1007/s00707-025-04417-3","DOIUrl":"10.1007/s00707-025-04417-3","url":null,"abstract":"<div><p>In this work, an attempt is made for the first time to present the axial vibration of non-local rods made of a polymer matrix reinforced with short fibers under the influence of a magnetic field and an elastic medium. This paper examines the influences of small-scale based on the non-local theory and a transverse magnetic field on free axial vibration of short-fiber-reinforced nanorods embedded in an elastic medium for the first time in the literature and prefers the finite element method. Using the Lorentz magnetic force derived from Maxwell’s relation, the equation of motion for the non-local axial vibration of the short-fiber-reinforced nanorods subjected to the transverse magnetic field and embedded in an elastic medium is constituted. Then, a size-dependent finite element formulation of embedded and magnetically affected short-fiber-reinforced nanorods is posed based on the weighted residual method. The dimensionless frequencies of clamped–clamped and clamped-free embedded short-fiber-reinforced nanorods are calculated by using the finite element method based on various arguments such as mode number, fiber properties, non-local parameter, magnetic parameter, magnetic field strengths’ ratio and elastic medium. The changes in frequencies due to the effects of these arguments are presented with a number of figures and tables and a detailed discussion is carried out.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 8","pages":"4889 - 4920"},"PeriodicalIF":2.9,"publicationDate":"2025-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04417-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145142767","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}

引用次数: 0

Application of computer approach integrating AI for nonlinear post-buckling behavior of Mindlin cut-out composite plates reinforced with FG-carbon nanotubes 集成人工智能的计算机方法在fg -碳纳米管增强Mindlin镂空复合材料板非线性后屈曲行为中的应用

IF 2.9 3区工程技术

Acta Mechanica Pub Date : 2025-06-26 DOI: 10.1007/s00707-025-04400-y

Bo Cheng, Yanmei Sun, A. Horri

{"title":"Application of computer approach integrating AI for nonlinear post-buckling behavior of Mindlin cut-out composite plates reinforced with FG-carbon nanotubes","authors":"Bo Cheng, Yanmei Sun, A. Horri","doi":"10.1007/s00707-025-04400-y","DOIUrl":"10.1007/s00707-025-04400-y","url":null,"abstract":"<div><p>Using computer numerical methods to combine certain strengths of different techniques produces enhanced accuracy, efficiency and stability in nonlinear post-buckling analysis. A combination of advanced computer numerical methods is carried out for nonlinear post-buckling computational analysis of Mindin composite plates cut-out by the functionally graded-carbon nanotubes. It combines the energy methodology, Rayleigh–Ritz numerical and domain computer decomposition methods with the Newton–Raphson iterative scheme in order to efficiently solve the governing nonlinear equations. The structural behavior is modeled using first-order shear deformation theory and as the reinforcement variation through the nanocomposite plate thickness is considered, the material property variation from the Mori–Tanaka homogenization technique is used. The effects of several key parameters such as such as CNT distribution, elastic foundation, and external magnetic field on the computational framework are analyzed based on applied computer methods. Based on results, the presence of CNTs enhances the post-buckling performance. An important contribution of this study is robustness of hybrid numerical techniques for prediction of nonlinear post-buckling in CNT-reinforced composite structures.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 8","pages":"4869 - 4887"},"PeriodicalIF":2.9,"publicationDate":"2025-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144969","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}

引用次数: 0

The mechanics of variable mass systems applied to the added mass concept of a moving cylinder in water 变质量系统的力学应用于水中运动圆柱体的附加质量概念

IF 2.9 3区工程技术

Acta Mechanica Pub Date : 2025-06-24 DOI: 10.1007/s00707-025-04402-w

Lucas Franceschini, Celso Pupo Pesce, Guilherme Rosa Franzini

{"title":"The mechanics of variable mass systems applied to the added mass concept of a moving cylinder in water","authors":"Lucas Franceschini, Celso Pupo Pesce, Guilherme Rosa Franzini","doi":"10.1007/s00707-025-04402-w","DOIUrl":"10.1007/s00707-025-04402-w","url":null,"abstract":"<div><p>This paper constructs a physics-based surrogate mathematical model for the motion of a cylinder surrounded by a fluid under a distinct point of view: the mechanics of variable mass systems. Particularly, the concept of added mass is addressed. First, we introduce a 1 DoF problem, consisting of an equivalent virtual particle, free to oscillate in one direction, whose mass is let to depend on its position and velocity. The resulting kinetic energy models that of the whole system, solid and surrounding fluid. A general formulation for the equation of motion is then proposed, by applying the Extended Lagrange Equations for variable mass systems, from which the surrogate model is derived. We take as first case study the classic vortex-induced vibration (VIV) phenomenon of a cylinder mounted on an elastic base. Then, we assume the added mass as a polynomial function on position and velocity. The coefficients of this polynomial expansion are estimated by regression, where we minimize the residual between the model’s response and external data, herein coming from computational fluid dynamics (CFD) simulations. The results are rewarding and the well-known behavior of the added mass as a function of the reduced velocity observed in the technical literature, from experiments and from CFD simulations, is consistently recovered.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 8","pages":"4837 - 4852"},"PeriodicalIF":2.9,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144447","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}

引用次数: 0

Effect of interfacial stress on the reflection and transmission of in-plane waves 界面应力对平面波反射和传播的影响

IF 2.9 3区工程技术

Acta Mechanica Pub Date : 2025-06-24 DOI: 10.1007/s00707-025-04416-4

Shengwei Ge, Jianmin Long

{"title":"Effect of interfacial stress on the reflection and transmission of in-plane waves","authors":"Shengwei Ge, Jianmin Long","doi":"10.1007/s00707-025-04416-4","DOIUrl":"10.1007/s00707-025-04416-4","url":null,"abstract":"<div><p>The mechanical properties of the interfacial region are quite different from those of the adjacent bulk materials. By employing the Gurtin–Murdoch surface elasticity model, we investigated the reflection and transmission of in-plane waves (P- and SV-waves) at an interface separating two elastic half-spaces. We derived a system of eight equations for the amplitudes and phase shifts of the reflected and transmitted waves. Furthermore, interfacial regions may contain various types of microstructures. By modeling the interface between two materials as a microstructured Kirchhoff thin plate and adopting the Aifantis strain-gradient model to characterize its mechanical behavior, we developed a strain-gradient thin plate model. This model extends the Gurtin–Murdoch surface elasticity framework due to the incorporation of strain-gradient effect. By using the newly established strain-gradient thin plate model, we revisited the in-plane wave reflection/transmission problem. Additionally, we conducted parametric studies to show how interfacial parameters and strain-gradient constant affect the reflection and transmission coefficients for in-plane wave incidence. This study can provide insights for the design of ultrasonic signal processing devices that utilize thin films as surface/interface waveguides.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 8","pages":"4853 - 4868"},"PeriodicalIF":2.9,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144954","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}

引用次数: 0

Thermoelastic analysis of a Moore–Gibson–Thompson plate with internal heat source loaded with viscous fluid layers Moore-Gibson-Thompson板内热源加载粘性流体层的热弹性分析

IF 2.9 3区工程技术

Acta Mechanica Pub Date : 2025-06-22 DOI: 10.1007/s00707-025-04405-7

Praveen Ailawalia, Marin Marin, Jatinder Kaur

引用次数: 0

Dynamic response of a circular tunnel buried in the half-space unsaturated soil to elastic waves 埋于半空间非饱和土中的圆形隧道弹性波动力响应

IF 2.9 3区工程技术

Acta Mechanica Pub Date : 2025-06-22 DOI: 10.1007/s00707-025-04401-x

Yong-Hong Miao, Jian-Fei Lu

{"title":"Dynamic response of a circular tunnel buried in the half-space unsaturated soil to elastic waves","authors":"Yong-Hong Miao, Jian-Fei Lu","doi":"10.1007/s00707-025-04401-x","DOIUrl":"10.1007/s00707-025-04401-x","url":null,"abstract":"<div><p>Based on the wave function expansion (WFE) method and expansion of the cylindrical wave into plane wave (ECPW) method, an analytical method for a circular lined tunnel embedded in the half-space unsaturated soil is developed. To develop the analytical method, the governing equations and corresponding potentials for the unsaturated soil are introduced first. The wavefield in the soil is decomposed into the free wavefield and scattered wavefield. The free wavefield in the unsaturated soil is determined by the incident waves as well as reflected waves from the surface of the soil. The scattered wavefield in the soil can be further divided into the direct and secondary scattered wavefields. The direct scattered waves due to the presence of the tunnel are cylindrical waves emitted from the tunnel, while the secondary scattered waves are the reflected waves of the direct scattered waves from the surface of the soil. To determine the secondary scattered waves for the tunnel, the ECPW method for the unsaturated half-space soil is proposed in this study. The wavefield in the tunnel lining consists of standing waves represented by Bessel functions. By using the expressions for the above wavefields, the equations for the unknown coefficients of the wavefunctions are derived. With the developed analytical method for the circular tunnel, some numerical results are presented.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 8","pages":"4795 - 4821"},"PeriodicalIF":2.9,"publicationDate":"2025-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144765","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}

引用次数: 0

On Green–Naghdi (II) thermoelasticity theory with time-fraction and memory-dependent derivatives Green-Naghdi （II）热弹性理论的时间分数和记忆相关导数

IF 2.9 3区工程技术

Acta Mechanica Pub Date : 2025-06-22 DOI: 10.1007/s00707-025-04392-9

Mohamed H. Hendy, Magdy A. Ezzat

{"title":"On Green–Naghdi (II) thermoelasticity theory with time-fraction and memory-dependent derivatives","authors":"Mohamed H. Hendy, Magdy A. Ezzat","doi":"10.1007/s00707-025-04392-9","DOIUrl":"10.1007/s00707-025-04392-9","url":null,"abstract":"<div><p>In this study, a novel thermomechanical model for elastic solids is developed within the framework of the fractional Green–Naghdi type II (GN-II) theory, enhanced by memory-dependent derivatives (MDD) and excluding energy dissipation. The model integrates generalized non-Fourier heat conduction to capture both time-delay and fractional-order effects in thermoelastic responses. Fundamental theoretical results are established, including a uniqueness theorem, a variational principle, and a reciprocity relation. The proposed framework is applied to a half-space subjected to a time-dependent thermal shock. A computational approach is used to perform inverse Laplace transforms, enabling the analysis of temperature, displacement, stress, and heat flux under different theoretical assumptions. Results show that the inclusion of a nonlinear memory kernel significantly affects the spatial and temporal distribution of field quantities. The findings confirm the model's capacity to accurately describe thermoelastic wave-diffusion phenomena. The proposed approach thus offers a more comprehensive and physically consistent alternative to classical models and lays the foundation for future studies on coupled thermal–mechanical behaviors in advanced materials.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 8","pages":"4771 - 4793"},"PeriodicalIF":2.9,"publicationDate":"2025-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144735","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}

引用次数: 0

Photo-thermoelastic wave propagation in a reinforced semiconductor due to memory responses in the presence of magnetic field 磁场存在下存储器响应在增强半导体中的光热弹性波传播

IF 2.9 3区工程技术

Acta Mechanica Pub Date : 2025-06-20 DOI: 10.1007/s00707-025-04408-4

Sudip Mondal, Abhik Sur, M. Kanoria

{"title":"Photo-thermoelastic wave propagation in a reinforced semiconductor due to memory responses in the presence of magnetic field","authors":"Sudip Mondal, Abhik Sur, M. Kanoria","doi":"10.1007/s00707-025-04408-4","DOIUrl":"10.1007/s00707-025-04408-4","url":null,"abstract":"<div><p>The current analysis reports on studying the propagation of coupled plasma, thermal and elastic waves in a two-dimensional fiber-reinforced semiconductor in context of photothermal transport process under the influence of an induced magnetic field. The problem is solved with a new model involving the memory-dependent derivative in the heat transport equation in the context of three-phase lag model of generalized thermoelasticity for an unbounded elastic semiconductor. Employing the Laplace transform and the Fourier transform as tools, the analytical results for the distributions of the thermophysical quantities have been derived. The numerical inversion of the Fourier transforms have been performed using Mathematica software, whereas the numerical inversions of the Laplace transform is carried out using a suitable scheme based on the Riemann-sum approximation technique. Numerical computations for the field quantities in a fiber-reinforced semiconductor is performed and have been demonstrated graphically. Significant effects are observed on the thermophysical quantities due to the presence of reinforcement, influence of magnetic field, memory effect and time-delay parameter also.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 8","pages":"4749 - 4770"},"PeriodicalIF":2.9,"publicationDate":"2025-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144262","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}

引用次数: 0

An analytical method for predicting the dynamic effective properties of coated nanocomposites subjected to P- and SV-waves 一种预测P波和sv波作用下涂层纳米复合材料动态有效性能的分析方法

IF 2.9 3区工程技术

Acta Mechanica Pub Date : 2025-06-19 DOI: 10.1007/s00707-025-04347-0

Junhua Xiao, Qiang Guo

{"title":"An analytical method for predicting the dynamic effective properties of coated nanocomposites subjected to P- and SV-waves","authors":"Junhua Xiao, Qiang Guo","doi":"10.1007/s00707-025-04347-0","DOIUrl":"10.1007/s00707-025-04347-0","url":null,"abstract":"<div><p>The propagation characteristic of elastic waves in composite materials is a key problem that affects the dynamic properties of material structures. When the elastic wave propagates in the structure, the elastic wave scattering phenomenon will occur due to the sudden change of material properties and geometric discontinuity. The elastic dynamic constant plays an important role in the ultrasonic nondestructive evaluation of structural composites. Compared with traditional composites, nanocomposites have higher interfacial volume ratio and interfacial energy, which makes the propagation and dynamic mechanical behavior of elastic waves in nanocomposites more complicated. Based on the Gurtin–Murdoch surface/interface elasticity theory, elastic wave theory and generalized self-consistent method, a dynamic micromechanical model was established to study the in-plane dynamic modulus of nanocoated fiber composites, and the scattering problem of steady-state incident P-wave and SV-wave on nanoscale-coated fiber composites was studied. The in-plane dynamic effective properties of nanocoated fiber composites subjected to plane waves (P-wave and SV-wave) were investigated theoretically. The non-classical boundary conditions of displacement and stress at the interface between fiber, coating and substrate are derived by considering the theory of surface/interface elasticity. According to the wave equation, the displacement potential of P-wave and SV-wave in the material is given, and then, the displacement and stress expressions are obtained. The phase velocity, attenuation, in-plane effective bulk modulus and effective shear modulus of P-wave and SV-wave are obtained by non-classical boundary conditions and iterative process of multiple scattering methods. The phase velocity and attenuation of wave propagation of nanocoated fiber composites and the dynamic effective properties of nanocoated fiber composites with interface properties and coating parameters were analyzed.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 8","pages":"4727 - 4747"},"PeriodicalIF":2.9,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144219","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}

引用次数: 0

Integrating finite element modeling with high-order shear deformation theory for nonlinear free vibration of CNT/SiO2 nanocomposite plates 基于高阶剪切变形理论的CNT/SiO2纳米复合材料板非线性自由振动有限元建模

IF 2.9 3区工程技术

Acta Mechanica Pub Date : 2025-06-18 DOI: 10.1007/s00707-025-04406-6

Raheb Gholami, Reza Ansari, Mohammad Kazem Hassanzadeh-Aghdam, Alireza Moradi, Saeid Sahmani

{"title":"Integrating finite element modeling with high-order shear deformation theory for nonlinear free vibration of CNT/SiO2 nanocomposite plates","authors":"Raheb Gholami, Reza Ansari, Mohammad Kazem Hassanzadeh-Aghdam, Alireza Moradi, Saeid Sahmani","doi":"10.1007/s00707-025-04406-6","DOIUrl":"10.1007/s00707-025-04406-6","url":null,"abstract":"<div><p>This study establishes a unified framework to investigate the mechanical properties and geometrically nonlinear free vibration of polymer nanocomposite rectangular plates containing carbon nanotubes (CNTs) and silica nanoparticles (SiO<sub>2</sub>). A micromechanics-based finite element approach is employed to predict the effective mechanical properties of the hybrid nanocomposite, accounting for factors such as volume fraction, nanofiller geometries, interphase characteristics, and clustering effects. The geometrically nonlinear governing equations are derived using Reddy’s third-order shear deformation plate theory, von Kármán-type nonlinear strain–displacement relations, and Hamilton’s principle. In order to solve the governing equations, a multistep numerical methodology is applied, incorporating the generalized differential quadrature scheme, Galerkin approach, time-periodic differential scheme, pseudo-arc-length continuation algorithm, and modified Newton–Raphson method. A comprehensive assessment of nonlinear frequency response curves is performed with consideration of microstructure-level parameters and boundary condition variations. It is concluded that increasing nanofiller content, leveraging elongated CNTs and fine SiO<sub>2</sub>, and optimizing nanofiller dispersion patterns significantly enhance both linear and nonlinear frequencies, with fully clamped boundary conditions exhibiting the highest frequencies. When the length (width)-to-thickness ratio of a 1 vol.% CNT/5 vol.% SiO<sub>2</sub>/polymer nanocomposite plate is 12, the non-dimensional linear frequencies incorporating aligned, randomly oriented, and agglomerated nanofillers are 0.6765, 0.5814, and 0.5237, respectively, under simply supported edges, and 1.187, 1.0196, and 0.9179, respectively, under fully clamped edges.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 8","pages":"4699 - 4725"},"PeriodicalIF":2.9,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144165","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}

引用次数: 0