Archive of Applied Mechanics最新文献_第9页

One-dimensional nonlinear model of generalized thermo-electroelasticity 广义热电弹性的一维非线性模型

IF 2.8 3区工程技术

Archive of Applied Mechanics Pub Date : 2023-03-29 DOI: 10.1007/s00419-023-02403-6

A. F. Ghaleb, Ethar A. A. Ahmed, A. A. Mosharafa

{"title":"One-dimensional nonlinear model of generalized thermo-electroelasticity","authors":"A. F. Ghaleb, Ethar A. A. Ahmed, A. A. Mosharafa","doi":"10.1007/s00419-023-02403-6","DOIUrl":"10.1007/s00419-023-02403-6","url":null,"abstract":"<div><p>We investigate a one-dimensional restriction of a nonlinear model of thermo-electroelasticity in extended thermodynamics and in the quasi-electrostatic regime (see Ghaleb et al. in Int J Eng Sci 119:29–39, 2017. https://doi.org/10.1016/j.ijengsci.2017.06.010). An additional dependence of the thermal conductivity and the thermal relaxation time on temperature and heat flux is introduced. The aim of the present work is to assess the effect of some quadratic nonlinear couplings between the mechanical, thermal and electric fields. Such couplings are known to have a crucial effect on the stability of the solutions. It is confirmed that there are two speeds of wave propagation of disturbances, the coupled thermoelastic wave and the heat wave. Formulae are provided for both speeds, showing their explicit dependence on temperature, heat flux and electric field. The purely thermal case is briefly considered. The present results may be useful for the description of a broad range of interactions in large polarizable slabs of electro-thermoelastic materials and for the design of such materials.\u0000</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 7","pages":"2711 - 2734"},"PeriodicalIF":2.8,"publicationDate":"2023-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-023-02403-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5122516","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

Thermal stresses for a coated irregularly shaped hole embedded in an infinite substrate subject to a remote uniform heat flow 受远端均匀热流影响的嵌在无限基材中的涂层不规则形状孔的热应力

IF 2.8 3区工程技术

Archive of Applied Mechanics Pub Date : 2023-03-28 DOI: 10.1007/s00419-023-02393-5

Yi-Lun Liao, Shao-Chen Tseng, Ching-Kong Chao

引用次数: 0

Analytical and numerical solutions of pressurized thick-walled FGM spheres 加压厚壁FGM球的解析解和数值解

IF 2.8 3区工程技术

Archive of Applied Mechanics Pub Date : 2023-03-28 DOI: 10.1007/s00419-023-02406-3

P. Das, M. A. Islam, S. Somadder, M. A. Hasib

引用次数: 1

A generalized finite element formulation for nonlinear frequency response analysis of viscoelastic sandwich beams using harmonic balance method 用谐波平衡法分析粘弹性夹层梁非线性频响的广义有限元公式

IF 2.8 3区工程技术

Archive of Applied Mechanics Pub Date : 2023-03-21 DOI: 10.1007/s00419-023-02380-w

Rajidi Shashidhar Reddy, Satyajit Panda

{"title":"A generalized finite element formulation for nonlinear frequency response analysis of viscoelastic sandwich beams using harmonic balance method","authors":"Rajidi Shashidhar Reddy, Satyajit Panda","doi":"10.1007/s00419-023-02380-w","DOIUrl":"10.1007/s00419-023-02380-w","url":null,"abstract":"<div><p>Harmonic balance method (HBM) is a popular computational tool for the nonlinear dynamic analysis of structural elements in the frequency domain. Its application in conjunction with the finite element (FE) procedure involves complexity in the formulation of the geometrically nonlinear equation of motion. Further complexity arises in the case of a viscoelastic structure as its constitutive model involves temporal derivative/integral of stress/strain. In this concern, the consideration of a few harmonic terms in HBM poses somewhat simplified formulation, but it may not provide a good theoretical estimation of nonlinear dynamics. Therefore, a large number of harmonic terms in HBM are to be considered despite the corresponding complexity, as well as a high computational cost. In this view, presently, two new formulation strategies are introduced toward a generalized FE formulation, especially for the consideration of an arbitrary number of harmonic terms in HBM. The first strategy lies in the formulation of the geometrically nonlinear stiffness matrix through a special factorization of the nonlinear strain–displacement matrix, while the second one lies in the analytical integration of system matrices/vectors over a time period by exploiting the orthogonality of Fourier basis functions. These formulation strategies provide not only the equation of motion with a reduced number of terms in the HBM-based expanded forms of system matrices/vectors but also a significantly reduced computational time. Additionally, various time–domain viscoelastic constitutive models are reduced into a generalized form for the periodic stress/strain to achieve a common HBM-based FE formulation for any of these viscoelastic material models.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 5","pages":"2209 - 2241"},"PeriodicalIF":2.8,"publicationDate":"2023-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-023-02380-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4829856","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: 1

A computationally efficient hybrid model to study ultrasonic wave propagation in long pipes with defects 一个计算效率高的混合模型来研究超声波在有缺陷的长管道中的传播

IF 2.8 3区工程技术

Archive of Applied Mechanics Pub Date : 2023-03-21 DOI: 10.1007/s00419-023-02384-6

Masoud Masoumi, Ryan K. Giles

{"title":"A computationally efficient hybrid model to study ultrasonic wave propagation in long pipes with defects","authors":"Masoud Masoumi, Ryan K. Giles","doi":"10.1007/s00419-023-02384-6","DOIUrl":"10.1007/s00419-023-02384-6","url":null,"abstract":"<div><p>This paper introduces a hybrid simulation technique to model elastic waves propagation in long pipes with damages using through-transmission approach. This hybrid model provides an efficient computational framework that only uses finite element (FE) modeling for damaged section of the pipe and simulates the rest via an analytical approach. It remarkably reduces the time and computational power required for such simulations since no spatial discretization is required for intact section of the pipe. An analytical technique is used to model the wave scattering in intact and long section of the pipe while an FE approach is implemented for its cracked segment. The effects of non-axisymmetric defects are studied in short range distance measurements using the developed FE model to have a better understanding of mode conversion and scattering in the pipe. Prior to implementation of the hybrid model, a semi-hybrid simulation is employed to study the pipes with defects very close to the excitation point. Then, the general case of a long pipe with a crack is studied. One particular observation was that cracks that are closer to the excitation point have a greater influence on propagating waves and cause higher energy loss compared to the cracks far from excitation location.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 6","pages":"2307 - 2329"},"PeriodicalIF":2.8,"publicationDate":"2023-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4829493","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

SH-type wave motion in a geophysical model with monoclinic and heterogeneous media due to a point source at the interface 界面点源作用下单斜非均质介质地球物理模型中的sh型波动

IF 2.8 3区工程技术

Archive of Applied Mechanics Pub Date : 2023-03-20 DOI: 10.1007/s00419-023-02399-z

Nirakara Pradhan, Santanu Manna, Sapan Kumar Samal

{"title":"SH-type wave motion in a geophysical model with monoclinic and heterogeneous media due to a point source at the interface","authors":"Nirakara Pradhan, Santanu Manna, Sapan Kumar Samal","doi":"10.1007/s00419-023-02399-z","DOIUrl":"10.1007/s00419-023-02399-z","url":null,"abstract":"<div><p>The paper examines SH-type surface waves in a locally elastic heterogeneous half-space that is governed by a point source in a finite-thickness heterogeneous monoclinic layer. The heterogeneity parameter in the top monoclinic layer is expected to vary logarithmically, whereas the heterogeneity parameter in the bottom elastic half-space is expected to vary quadratically. A point source of disturbance, situated at the common interface of the layer and the semi-infinite medium, generates the SH-type surface waves in the layered structure. Green’s function approach and the Fourier transformation are used to obtain dispersion equations from governing equations with proper boundary equations. By using unique numerical values of stiffness and density associated with heterogeneous characteristics, MATLAB software has been used to represent phase velocity associated with SH-type surface wave propagation. This is to reflect the phase velocity’s nature. It has been observed that as the heterogeneity parameter corresponding to both the top monoclinic layer and the bottom elastic half-space increases, the phase velocity of SH-type surface waves decreases. This is consistent with the classical nature of SH-type surface waves propagating in heterogeneous media. The novelty of this paper is that the dispersion in heterogeneous media with high phase velocity is smaller than the dispersion in homogeneous media with low phase velocity.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 6","pages":"2613 - 2629"},"PeriodicalIF":2.8,"publicationDate":"2023-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4797942","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: 2

Nonlinear system synthesis via a quasiperiodic gravity sinusoidal modulation to suppress chaos in Ag–MgO/H(_{2})O hybrid nanofluid of actuator and sensor array 基于准周期重力正弦调制抑制Ag-MgO /H (_{2}) O杂化纳米流体致动器和传感器阵列混沌的非线性系统合成

IF 2.8 3区工程技术

Archive of Applied Mechanics Pub Date : 2023-03-19 DOI: 10.1007/s00419-023-02398-0

R. Surendar, M. Muthtamilselvan

{"title":"Nonlinear system synthesis via a quasiperiodic gravity sinusoidal modulation to suppress chaos in Ag–MgO/H(_{2})O hybrid nanofluid of actuator and sensor array","authors":"R. Surendar, M. Muthtamilselvan","doi":"10.1007/s00419-023-02398-0","DOIUrl":"10.1007/s00419-023-02398-0","url":null,"abstract":"<div><p>The purpose of this work is to provide a novel approach for studying the chaos control of hybrid nanoparticles in a porous medium under feedback control and quasiperiodic gravity sinusoidal modulation. We use the powerful tool of Fourier modes to convert the governing flow model PDEs into ordinary ones. Under the combined effect, the properties of hybrid nanofluids a silver–magnesium oxide/water can be used to suppress heat transfer in a variety of industrial applications, i.e., cooling nuclear components. Numerical data comparison with the results presented in the previous literature shows a significant agreement with the present study. On the basis of nonlinear control theory and chaotic dynamics, the equilibrium points of the system are analyzed along with the local stability. As part of the article, different aspects of hybrid nanofluids (Ag–MgO/<span>(textrm{H}_{2}textrm{O})</span>) stability are discussed, starting from the preliminary stages to the practical application of hybrid nanofluids. It has been specifically focused on preventing nonlinear conditions from being aggravated by hybrid nanofluids. A pitchfork and inverted bifurcation can occur at various control gain and frequency or amplitude parameters. As a consequence of chaos, the paper proposes the implications of feedback control combined with quasi-gravity modulation to effectively control the chaotic system.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 6","pages":"2585 - 2611"},"PeriodicalIF":2.8,"publicationDate":"2023-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4760169","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: 1

Analytical and numerical study of a vibrating magnetic inverted pendulum 振动磁倒立摆的解析与数值研究

IF 2.8 3区工程技术

Archive of Applied Mechanics Pub Date : 2023-03-19 DOI: 10.1007/s00419-023-02395-3

Galal M. Moatimid, T. S. Amer, Marwa H. Zekry

{"title":"Analytical and numerical study of a vibrating magnetic inverted pendulum","authors":"Galal M. Moatimid, T. S. Amer, Marwa H. Zekry","doi":"10.1007/s00419-023-02395-3","DOIUrl":"10.1007/s00419-023-02395-3","url":null,"abstract":"<div><p>The current study investigates the stability structure of the base periodic motion of an inverted pendulum (IP). A uniform magnetic field affects the motion in the direction of the plane configuration. Furthermore, a non-conservative force as one that dampens air is considered. Its underlying equation of motion is derived from traditional analytical mechanics. The mathematical analysis is made simpler by substituting the Taylor theory in order to expand the restoring forces. The modified Homotopy perturbation method (HPM) is employed to achieve a roughly adequate regular result. To support the prior result, a numerical method based on the fourth-order Runge-Kutta method (RK4) is employed. The graphs for both the analytic and numerical solutions are highly consistent with one another, which indicates that the perturbation strategy is accurate. The solution time history curve exhibits a decaying performance and indicates that it is steady and without chaos. The resonance and non-resonance cases are found through the stability study by using the time scale method. In all perturbation approaches, the methodology of multiple time scales is actually regarded as a further standard approach. The time history is used to create a collection of graphs. Some graphical representations are used to illustrate how the typical physical values affect the behavior of the discovered solution. It has been discovered that the statically unstable IP can have its instability reduced by raising the spring torsional constant stiffness as well as the damped coefficient. Moreover, the magnetic field has a significant role in the stability configuration, which explains that at higher values of this field, the decaying waves take much more time than the smaller values of this field. Accordingly, it can be employed in various engineering devices that need a certain period of time to be more stable.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"93 6","pages":"2533 - 2547"},"PeriodicalIF":2.8,"publicationDate":"2023-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-023-02395-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4758060","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: 6

Experiments and numerical simulation analysis of dynamic fracture toughness of compact tensile specimens of fiber reinforced composites 纤维增强复合材料致密拉伸试样动态断裂韧性试验与数值模拟分析

IF 2.8 3区工程技术

Archive of Applied Mechanics Pub Date : 2023-03-18 DOI: 10.1007/s00419-023-02394-4

Guangping Zou, Zhijun Zhang, Zhongliang Chang, Bingqiang Li

引用次数: 0

Study of the transmission properties of piezoelectric/piezomagnetic phononic composite laminates 压电/压磁声子复合材料层板传输性能研究

IF 2.8 3区工程技术

Archive of Applied Mechanics Pub Date : 2023-03-15 DOI: 10.1007/s00419-023-02382-8

Mohamed Mkaoir, Hamdi Ezzin, Hassiba Ketata, Anouar Njeh

引用次数: 0