Acta Mechanica最新文献

{"title":"Free vibration and buckling analysis of FG graphene origami-enabled auxetic metamaterial beams in a thermal environment","authors":"Xiang-Yu Gao,&nbsp;Zhuang-Zhuang Wang,&nbsp;Lian-Sheng Ma","doi":"10.1007/s00707-024-04197-2","DOIUrl":"10.1007/s00707-024-04197-2","url":null,"abstract":"<div><p>Functionally graded (FG) graphene origami (GOri)-enabled auxetic metamaterials (FG-GOEAM) have received much attention due to their excellent mechanical properties. In this study, the buckling and free vibration behaviours of FG-GOEAM beams supported by elastic foundations in a thermal environment are investigated. Three temperature distributions were considered: uniform temperature profile (UTP), linear temperature profile (LTP), and sinusoidal temperature profile (STP). By assuming that the temperature at the geometrical neutral planes of any layer in an FG-GOEAM beam represents the temperature of the entire layer, this study determines the correction function for the material parameters associated with FG-GOEAM beams under LTP and STP. Mechanical response analysis of FG-GOEAM beams under LTP and STP was not reported. The effect of the thermal environment is described in the form of thermal strain energy. The control equations were derived based on refined beam theory (RBT) and Lagrange equations. Numerical results were obtained using the Chebyshev-Ritz method. The accuracy of the study in this paper was verified by comparing the results with the existing literature. It should be noted that bifurcation buckling does not occur for FG-GOEAM beams that exhibit asymmetric material distribution and temperature profiles in the thickness direction. Therefore, these asymmetric distributions are not considered in the buckling analysis. Emphasis was placed on the effects of temperature profiles, weight fraction, and degree of folding of Gori on the buckling and vibrational behaviour of FG-GOEAM beams under various boundary conditions. These numerical results provide important insights for the further design and development of FG-GOEAM beams.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 2","pages":"1265 - 1287"},"PeriodicalIF":2.3,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513294","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":"Multiple super-transmission angle and Klein tunneling of elastic wave","authors":"Hongzhu Li,&nbsp;Xiaofei Lyu,&nbsp;Qian Ding,&nbsp;Tianzhi Yang","doi":"10.1007/s00707-024-04211-7","DOIUrl":"10.1007/s00707-024-04211-7","url":null,"abstract":"<div><p>Klein tunneling is a fascinating phenomenon in quantum mechanics, which has been discovered in acoustic metamaterials. However, most of the present theory and experiments are limited in normal impinging elastic wave. In this letter, we explore the possibilities for oblique tunneling for elastic wave. We introduce a unique approach by constructing a kind of one-dimensional tunneling model with two similar phononic crystals, extending tunneling beyond normal incidence. Supported by the quantum potential barrier model and pseudospin conservation principle, we demonstrate the super-transmission caused by tunneling at various angles, influenced by the thickness of potential barrier and Klein-like tunneling independent on thickness of that. Our results, confirmed through simulations and experiments, open avenues for constructing superlattices and exhibit potential applications in wave control and covert communications, emphasizing new dimensions in quantum tunneling research.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 2","pages":"1289 - 1298"},"PeriodicalIF":2.3,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513295","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":"Optimum design, nonlinear dynamic response and vibration of graphene-reinforced laminated composite with negative Poisson’s ratio under dynamic load in thermal environment","authors":"Vu Minh Anh,&nbsp;Nguyen Dinh Duc","doi":"10.1007/s00707-025-04218-8","DOIUrl":"10.1007/s00707-025-04218-8","url":null,"abstract":"<div><p>Material with a negative Poisson’s ratio, also known as auxetic materials with honeycomb and zigzag structures, is useful for reinforcing and protecting buildings, military structures, etc. However, the use of composite materials combining graphene-reinforced fibers and adjusting the laminated angle to create a material with a negative Poisson coefficient is a new problem. Thus, analysis of the nonlinear dynamic response and vibration of graphene-reinforced composite laminated (GRCL) plates with a negative Poisson’s ratio in a thermal environment that is supported by elastic foundations under moving loads is very valuable. To evaluate the effect of the misalignment angle, volume ratio, distribution of graphene, temperature, and geometry parameters, the third-order shear deformation theory is proposed with a Vor-Karman term. Based on the theory used, the deformation compatibility equation and motion equation are listed in detail. Besides, the natural frequency values of the graphene-reinforced laminated composite are also investigated in detail and highlighted. Furthermore, by utilizing the differential evolutionary optimization technique, we can identify the highest possible value of the natural frequency while also adhering to the limitations of the problem. These constraints involve a laminated plates with a negative Poisson's ratio, and the optimization is performed using angle variables.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 2","pages":"1217 - 1243"},"PeriodicalIF":2.3,"publicationDate":"2025-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513255","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":"Vibration analysis of composite beams integrated with graphene nanoplatelets reinforced piezoelectric layer","authors":"Rui Ma,&nbsp;Qingrui Wang,&nbsp;Mingran Zhang,&nbsp;Yuanxiang Zhang,&nbsp;Tianchen Zhao,&nbsp;Qilin Jin","doi":"10.1007/s00707-025-04226-8","DOIUrl":"10.1007/s00707-025-04226-8","url":null,"abstract":"<div><p>Graphene nanoplatelets (GNP) possess distinctive physical properties, making them a remarkable material for a wide range of engineering applications. Nonetheless, the existing higher-order theories documented in the literature may not effectively predict the natural frequencies of composite beams that incorporate GNP-reinforced piezoelectric layers. This limitation arises from the electromechanical coupling effects and the pronounced variability in material properties at the interfaces between layers. To overcome these limitations, this study proposes a refined beam theory specifically designed to examine the vibrational behavior of composite beams embedded with GNP-reinforced piezoelectric layers. By enforcing the continuity of interlaminar stresses and incorporating the free-surface conditions for interlaminar shear stresses, the formulation eliminates the dependence on layer-specific unknown variables, leading to a simplified yet accurate displacement field. In contrast to earlier higher-order theories, the current model introduces a refined interlaminar shear stress field incorporating the effects of electromechanical coupling. By utilizing Hamilton's principle, the enhanced shear stress field is incorporated into the governing equations of motion, which leads to a notable improvement in the prediction of natural frequencies for piezoelectric sandwich and laminated beams. Key results show that the proposed model achieves deviations below 3% compared to exact solutions, while existing models exhibit errors exceeding 280%. Additionally, geometric parameters such as the length-to-thickness ratio and layer thickness significantly influence natural frequencies, whereas the GNP volume fraction and electrical boundary conditions have minimal impact. The proposed theory's effectiveness is demonstrated through exact solutions and comparative studies with other models. The results reveal that the proposed theory offers superior accuracy in predicting natural frequencies compared to conventional higher-order models for composite beams. Moreover, a parametric analysis is performed to explore the influences of various key parameters on the vibration properties of smart composite beams with GNP reinforcements.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 2","pages":"1245 - 1263"},"PeriodicalIF":2.3,"publicationDate":"2025-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513254","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":"Kinematic numerical analysis of bending plate bearing capacity under cyclic loads","authors":"Phuc L. H. Ho,&nbsp;Dung T. Tran","doi":"10.1007/s00707-024-04199-0","DOIUrl":"10.1007/s00707-024-04199-0","url":null,"abstract":"<div><p>This study introduces a robust approach for determining safety factors and elucidating failure mechanisms in bending plates under cyclic loading conditions. The kinematic shakedown formulation is established by integrating the Hsieh–Clough–Tocher element with second-order cone programming. The resulting optimization problems, characterized by a multitude of variables and constraints, are efficiently solved using the MOSEK optimizer, a highly effective primal–dual interior-point algorithm-based solver. The proposed method’s efficacy is validated by investigating various metal plates with diverse geometries, loading, and boundary conditions.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 2","pages":"1179 - 1193"},"PeriodicalIF":2.3,"publicationDate":"2025-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513185","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":"Analytical analysis of a circular tunnel with the segmental lining under harmonic plane waves","authors":"Yong-Hong Miao,&nbsp;Jian-Fei Lu","doi":"10.1007/s00707-024-04215-3","DOIUrl":"10.1007/s00707-024-04215-3","url":null,"abstract":"<div><p>In this study, based on the Fourier series expansion and wave function expansion methods, an analytical method for a circular tunnel with segmental lining under seismic waves is established. The surrounding soil of the tunnel is assumed to be a linear elastic medium. The lining of the tunnel is assumed to be composed of several segments and joints. Each joint is simplified as a portion of a cylindrical shell with a small central angle. The segments and joints together thus constitute an equivalent continuous shell (ECS) lining which is described by the cylindrical shell theory. To develop the analytical method, the wave function expansion method is employed to establish the representation for the scattered wave field in the soil. Using the cylindrical shell theory and expanding the quantities and parameters of the ECS lining into Fourier series along the circumferential direction together with introducing the Fourier space convolution-type constitutive relation for the ECS lining, the differential equations for the ECS displacements with variable coefficients are reduced to a linear system of equations for the Fourier components of the ECS displacements. Combining the linear system of equations for the ECS displacements with the representation for the wave field in the soil yields the coupled linear system of equations for the ECS lining and soil. With the proposed analytical method, some results for the response of the tunnel to harmonic seismic waves are presented.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 2","pages":"1195 - 1216"},"PeriodicalIF":2.3,"publicationDate":"2025-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513186","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":"Mechanical manipulation of electromechanical fields in multi-tunnel piezoelectric semiconductor thin film devices by creating localized transverse mechanical field excitations","authors":"Wenjun Wang,&nbsp;Miaomiao Li,&nbsp;Luke Zhao,&nbsp;Feng Jin,&nbsp;Tianhu He,&nbsp;Yongbin Ma,&nbsp;Tao Hou","doi":"10.1007/s00707-025-04225-9","DOIUrl":"10.1007/s00707-025-04225-9","url":null,"abstract":"<div><p>Piezotronics that couples piezoelectricity and semiconducting electronics of piezoelectric semiconductor (PS) materials through stress/strain is emerging field. To accurately depict physical and mechanical properties of two-dimensional (2D) PS thin film devices and comprehensively reveal underlying mechanisms from the perspective of device research, development, and applied science, a general theoretical framework called 2D higher-order phenomenological theory is established for the first time based on three-dimensional (3D) phenomenological theory and Mindlin plate theory, which is viewed as the basis for theoretically analyzing piezotronic effect and working mechanism in novel electronic devices. As the fundamental building blocks of novel piezotronic devices and a particular application example, the Kirchhoff bending deformation-dependent electromechanical fields about PS thin film bimorph devices have been solved successfully from static characteristic analysis viewpoint based on the established 2D phenomenological theory. Subsequently, a systematic investigation about local modulation and evolution of electromechanical fields has been carried out by creating localized external stimuli fields. To some extent, when there are local transverse mechanical load fluctuations within PS thin film devices, various physical fields alter because of deformation–polarization–carrier coupling effects, which affect the interaction between the mechanical deformations, polarization, and mobile charges in PS devices. A greater local transverse mechanical load yields a higher potential barrier and a deeper potential well, impeding the flow of charge carriers with low energy. Additionally, the potential barriers/wells (including their locations, heights/depths, distribution characteristics, and evolution laws) induced by local transverse mechanical loads are also influenced by other numerous physical and geometric parameters, e.g., load intensity, initial state electron and hole concentrations, thin film thickness, and rectangular element center coordinates. For piezotronic applications, the present research results not only provide a theoretical basis and tuning methodology for mechanically manipulating mobile charges related to potential barriers/wells, but also offer more flexibility for developing novel PS thin film devices with flexural deformations and transverse mechanical field excitations.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 2","pages":"1151 - 1177"},"PeriodicalIF":2.3,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513393","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":"Vibration analysis of a transversely isotropic piezothermoelastic beam resonators under nonlocal strain gradient theory with DPL model","authors":"Anjali Srivastava,&nbsp;Santwana Mukhopadhyay","doi":"10.1007/s00707-024-04198-1","DOIUrl":"10.1007/s00707-024-04198-1","url":null,"abstract":"<div><p>The present work is an attempt to analyse the vibration responses of piezothermoelastic vibration and estimate the thermal deflection and thermal moment of a simply supported Euler–Bernoulli transversely isotropic microbeam resonators under the effect of nonlocal higher order strain gradient effects. Such a theory enables to capture the size-dependent behaviour of microbeams by using two length scale parameters, namely the nonlocal elastic parameter and the strain gradient parameter. The problem is formulated on the basis of the basic governing equations and constitutive relations for the piezothermoelastic material under this theory along with hyperbolic dual phase lag heat conduction model. By considering that the transversely isotropic beam is stress and strain free initially in the absence of external heat source along with the assumption that normal stress along the thickness is zero. We obtain the coupled governing equations for dimensionless thermal moment and deflection. Furthermore, using the Laplace transform along with the finite Fourier sine and inverse Fourier sine transforms, the closed-form expressions for thermal moment and thermal deflection are obtained. Numerical analysis on the basis of analytical results is carried out by taking the properties of piezoelectric lead zirconate titanate (PZT-5A) material. The influence of different factors and important observations have been highlighted to have a detailed understanding of the vibration responses of a transversely isotropic piezoelectric microbeam resonator under nonlocal higher-order strain gradient theory and hyperbolic dual phase lag heat conduction.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 2","pages":"1071 - 1090"},"PeriodicalIF":2.3,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513420","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":"Nonlinear free vibration of geometrically imperfect porous FGM shell panels on nonlinear foundations including elastic edge restraints and elevated temperatures","authors":"Hoang Van Tung,&nbsp;Nguyen Van Thinh","doi":"10.1007/s00707-024-04207-3","DOIUrl":"10.1007/s00707-024-04207-3","url":null,"abstract":"<div><p>The combined influences of porosity, geometric imperfection, nonlinear elastic foundations, elevated temperature and tangentially elastic restraints of edges on the nonlinear free vibration of functionally graded material (FGM) doubly curved shell panels are investigated in this paper. Motion and compatibility equations of geometrically imperfect shell panels are established within the framework of first-order shear deformation shell theory including von Kármán–Donnell nonlinearity and interactive pressure from three-parameter nonlinear foundations. Analytical solutions are assumed to satisfy simply supported boundary conditions, and Galerkin method is applied to derive a time-variable ordinary differential equation including both quadratic and cubic nonlinear terms. This equation is numerically solved employing fourth-order Runge–Kutta integration scheme to determine the frequencies of nonlinear free vibration. Parametric studies are carried out to assess various influences on both natural and nonlinear frequencies. It is found that tangential constraints of edges, size of geometric imperfection and elastic foundations have dramatic influences on the nonlinear vibration of porous FGM shell panels. It is also revealed that nonlinear vibration behavior can be of the softening type when panels are more curved, edges are more rigorously restrained, temperature is more elevated, geometric imperfection is more outward and nonlinear foundation is of the softening type.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 2","pages":"1091 - 1115"},"PeriodicalIF":2.3,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513418","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":"An evaluation of SH and anti-plane SH wave signals for nanosensor applications using two distinct models of piezoelectric materials lead zirconate titanate (PZT-2) and PZT-5H","authors":"Ridam Jaiswal,&nbsp;Abdulkafi Mohammed Saeed,&nbsp;Varuna Gupta,&nbsp; Seema,&nbsp;Abhinav Singhal","doi":"10.1007/s00707-024-04217-1","DOIUrl":"10.1007/s00707-024-04217-1","url":null,"abstract":"<div><p>Investigating how wave propagation affects the functionality of surface acoustics wave (SAW) macro- and nanosensors is the main objective of the current investigation. Consequently, the surface piezoelectricity theory is used to investigate shear horizontal waves (SH) in an orthotropic PQC layer that is layered on top of an elastic framework (Model I), a piezoelectric substrate, and an orthotropic PQC substrate (Model II). Approach: A variable-separable approach is used in the study. Based on the differential equations and matrix formulation, theoretical forms are created and utilized to display the wavenumber of surface waves in any direction of the piezoelectric medium. Two configurations are examined: an orthotropic piezoelectric material layer over an elastic framework and a piezoelectric material half-space with a nanosubstrate. Analytical expressions for frequency equations are derived for both symmetric and anti-symmetric waves. Study investigates the effects of surface elastic constants, surface density, anisotropic piezoelectric constant, and symmetric and anti-ssymmetric modes on phase velocity. The study is confined to only linear wave propagation. Additionally, the analysis is based on idealized material properties and surface properties of the material. Surface effect study is the novelty which is conducted in the piezoelectric model and their applications in sensors. The findings of this research may be useful in designing surface acoustic wave sensors (SAW) devices.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 2","pages":"1135 - 1150"},"PeriodicalIF":2.3,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513417","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}