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Magnetothermoelastic vibrations on a viscoelastic microbeam subjected to a laser heat source 激光热源作用下粘弹性微束的磁热弹性振动
IF 0.8 4区 工程技术
Archives of Mechanics Pub Date : 2021-02-22 DOI: 10.24423/AOM.3597
A. Abouelregal, A. Zenkour
{"title":"Magnetothermoelastic vibrations on a viscoelastic microbeam subjected to a laser heat source","authors":"A. Abouelregal, A. Zenkour","doi":"10.24423/AOM.3597","DOIUrl":"https://doi.org/10.24423/AOM.3597","url":null,"abstract":"The linear theory of viscoelasticity remains an important field of research like most solids and polymer materials when exposed to a vicious dynamic loading effect. This article introduces a new model for describing the behavior of thermoviscoelastic microbeams considering the effects of temperature change and the longitudinal magnetic field. The governing equations in this model are derived based on the Euler–Bernoulli beam theory, Kelvin–Voigt model of viscosity, the generalized thermoelasticity, and the classical Maxwell equations. The two ends of the microbeam are clamped and subjected to the influence of a laser pulse with a temporal intensity profile. The analytical solutions to the physical fields are evaluated using the Laplace transform and its inversion transforms are performed numerically. The thermo-viscoelastic responses of the microbeam are calculated numerically and investigated graphically. The effect of different parameters such as viscosity, laser intensity, and the magnitude of the magnetic field are studied in detail.","PeriodicalId":8280,"journal":{"name":"Archives of Mechanics","volume":"73 1","pages":"3-26"},"PeriodicalIF":0.8,"publicationDate":"2021-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43583323","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Optimum design of elastic moduli for the multiple load problems 多载荷问题弹性模量的优化设计
IF 0.8 4区 工程技术
Archives of Mechanics Pub Date : 2021-01-21 DOI: 10.24423/AOM.3607
T. Lewiński
{"title":"Optimum design of elastic moduli for the multiple load problems","authors":"T. Lewiński","doi":"10.24423/AOM.3607","DOIUrl":"https://doi.org/10.24423/AOM.3607","url":null,"abstract":"The paper deals with minimization of the weighted average of compliances of structures, made of an elastic material of spatially varying elasticity moduli, subjected to n load variants acting non-simultaneously. The trace of the Hooke tensor is assumed as the unit cost of the design. Three versions of the free material design are discussed: designing the moduli of arbitrary anisotropy (AMD), designing the moduli of an isotropic material (IMD), designing of Young’s modulus for a fixed Poisson ratio (YMD). The problem is in all cases reduced to the Linear Constrained Problem (LCP) of Bouchitte and Fragala consisting of two mutually dual problems: stress based and strain based, the former one being characterized by the integrand of linear growth depending on the trial statically admissible stresses. The paper shows equivalence of the stress fields solving the (LCP) problem and those appearing in the optimal body subjected to subsequent load cases.","PeriodicalId":8280,"journal":{"name":"Archives of Mechanics","volume":"73 1","pages":"27-66"},"PeriodicalIF":0.8,"publicationDate":"2021-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41915078","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Some boundary value problems for a micropolar porous elastic body 微极多孔弹性体的若干边值问题
IF 0.8 4区 工程技术
Archives of Mechanics Pub Date : 2020-12-16 DOI: 10.24423/AOM.3504
R. Janjgava, B. Gulua, S. Tsotniashvili
{"title":"Some boundary value problems for a micropolar porous elastic body","authors":"R. Janjgava, B. Gulua, S. Tsotniashvili","doi":"10.24423/AOM.3504","DOIUrl":"https://doi.org/10.24423/AOM.3504","url":null,"abstract":"The paper reviews the static equilibrium of a micropolar porous elastic material. We assume that the body under consideration is an elastic Cosserat media with voids, however, it can also be considered as an elastic microstretch solid, since the basic differential equations and mathematical formulations of boundary value problems in these two cases are actually identical. As regards the three-dimensional case, the existence and uniqueness of a weak solution of some boundary value problems are proved. The two-dimensional system of equations corresponding to a plane deformation case is written in a complex form and its general solution is presented with the use of two analytic functions of a complex variable and two solutions of the Helmholtz equations. On the basis of the constructed general representation, specific boundary value problems are solved for a circle and an infinite plane with a circular hole.","PeriodicalId":8280,"journal":{"name":"Archives of Mechanics","volume":"72 1","pages":"485-509"},"PeriodicalIF":0.8,"publicationDate":"2020-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42238997","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Vertical heat transport at infinite Prandtl number for micropolar fluid 微极流体在无限普朗特数下的垂直热输运
IF 0.8 4区 工程技术
Archives of Mechanics Pub Date : 2020-12-16 DOI: 10.24423/AOM.3598
M. Caggio, Piotr Kalita, G. Łukaszewicz, K. Mizerski
{"title":"Vertical heat transport at infinite Prandtl number for micropolar fluid","authors":"M. Caggio, Piotr Kalita, G. Łukaszewicz, K. Mizerski","doi":"10.24423/AOM.3598","DOIUrl":"https://doi.org/10.24423/AOM.3598","url":null,"abstract":"We investigate the upper bound on the vertical heat transport in the fully 3D Rayleigh–Benard convection problem at the infinite Prandtl number for a micropolar fluid. We obtain a bound, given by the cube root of the Rayleigh number, with a logarithmic correction. The derived bound is compared with the optimal known one for the Newtonian fluid. It follows that the (optimal) upper bound for the micropolar fluid is less than the corresponding bound for the Newtonian fluid at the same Rayleigh number. Moreover, strong microrotational diffusion effects can entirely suppress the heat transfer. In the Newtonian limit our purely analytical findings fully agree with estimates and scaling laws obtained from previous theories significantly relying on phenomenology.","PeriodicalId":8280,"journal":{"name":"Archives of Mechanics","volume":"72 1","pages":"525-553"},"PeriodicalIF":0.8,"publicationDate":"2020-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45110804","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Numerical investigation on the nanofluids heat transfer inside a porous inclined cavity with wavy boundary 波浪边界多孔倾斜腔内纳米流体传热的数值研究
IF 0.8 4区 工程技术
Archives of Mechanics Pub Date : 2020-12-16 DOI: 10.24423/AOM.3550
B. Karimi, M. Pirmohammadi, A. Salehi-Shabestari
{"title":"Numerical investigation on the nanofluids heat transfer inside a porous inclined cavity with wavy boundary","authors":"B. Karimi, M. Pirmohammadi, A. Salehi-Shabestari","doi":"10.24423/AOM.3550","DOIUrl":"https://doi.org/10.24423/AOM.3550","url":null,"abstract":"In the present work, a numerical study on the free-convective heat transfer in a porous media cavity with a wavy boundary was carried out. The validation was done by comparing the results with the experimental data. The cavity inclination angle, material of nanofluid, nanoparticles volume fraction, the Rayleigh number, and porosity of the medium are the parameters which are investigated in this study. Results suggested that, due to the thermophysical properties of Cu particles in water, the heat transfer rate was increased for Cu-Water nanofluid in comparison to Al 2 O 3 -Water nanofluid, while the heat transfer rate decreased by increasing the volume fraction of nanoparticles. Numerical results showed that the Rayleigh number has significant effect on the heat transfer rate so that increase in the Rayleigh number from 100 to 10 000 increased the averaged Nusselt number between 2 to 3 times. The effect of porosity on heat transfer proved that the convective heat transfer rate increased with increasing the porosity of the porous medium. The effect of inclination angle of cavity on the heat transfer rate suggested that the optimum angle of cavity causing the highest heat transfer rate from wavy wall is 45°.","PeriodicalId":8280,"journal":{"name":"Archives of Mechanics","volume":"72 1","pages":"511-524"},"PeriodicalIF":0.8,"publicationDate":"2020-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41742597","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 effect of temperature-dependent viscosity and thermal conductivity on velocity and temperature field: an analytical solution using the perturbation technique 温度依赖性粘度和热导率对速度和温度场的影响:用微扰技术的解析解
IF 0.8 4区 工程技术
Archives of Mechanics Pub Date : 2020-12-16 DOI: 10.24423/AOM.3618
H. Panahi-Kalus, M. Ahmadinejad, A. Moosaie
{"title":"The effect of temperature-dependent viscosity and thermal conductivity on velocity and temperature field: an analytical solution using the perturbation technique","authors":"H. Panahi-Kalus, M. Ahmadinejad, A. Moosaie","doi":"10.24423/AOM.3618","DOIUrl":"https://doi.org/10.24423/AOM.3618","url":null,"abstract":"This paper proposes a general form of the perturbation expansion method for the governing equations of viscous flow coupled to the temperature evolution. The effect of the variations of viscosity and thermal conductivity with temperature on the temperature and velocity fields in a steady two-dimensional Couette–Poiseuille flow is examined. The presented analytical solution by the perturbation method is validated against a finite difference solution of the governing equations. The numerical and analytical solutions are in good agreement.","PeriodicalId":8280,"journal":{"name":"Archives of Mechanics","volume":"72 1","pages":"555-576"},"PeriodicalIF":0.8,"publicationDate":"2020-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44404168","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 4
Assessment of mechanical properties of bone trabeculae as an inverse problem of heterogeneous material modeling 作为非均质材料建模的反问题评估骨小梁的力学性能
IF 0.8 4区 工程技术
Archives of Mechanics Pub Date : 2020-10-19 DOI: 10.24423/AOM.3469
K. Janc, J. Tarasiuk, P. Lipinski, A. Bonnet, S. Wronski
{"title":"Assessment of mechanical properties of bone trabeculae as an inverse problem of heterogeneous material modeling","authors":"K. Janc, J. Tarasiuk, P. Lipinski, A. Bonnet, S. Wronski","doi":"10.24423/AOM.3469","DOIUrl":"https://doi.org/10.24423/AOM.3469","url":null,"abstract":"In this study, the trabecular bone was treated as a composite material that consists of a bone matrix weakened by ellipsoidal pores. Under the hypothesis that all information concerning the local properties and the microarchitecture are “encrypted” in the apparent properties of a given volume element (VE) of the bone, a method of retrieving these data was proposed. Software based on a genetic algorithm, combined with the incremental scale transition method was developed to this end. To test the approach, μCT measurements of four bone samples were performed providing their real micro-architecture. Tensors of apparent properties of the samples were next computed by numerical (finite element) homogenization method for a large range of the elastic properties of trabeculae. They were considered as the fitness function for the proposed algorithm. Very good agreement was found between the obtained and target values of the apparent elastic properties of the samples and volume fraction of pores. The approach is fast and accurate enough in comparison to the finite element homogenization. As an auxiliary result it was shown that the anisotropy of apparent elastic properties is mainly related to the microarchitecture of the bone, not to the intrinsic properties of trabeculae.","PeriodicalId":8280,"journal":{"name":"Archives of Mechanics","volume":"72 1","pages":"385-414"},"PeriodicalIF":0.8,"publicationDate":"2020-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44846490","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
A new dynamic model for a rotating beam carrying extra partially distributed mass 一种带有额外部分分布质量的旋转梁的新动力学模型
IF 0.8 4区 工程技术
Archives of Mechanics Pub Date : 2020-10-08 DOI: 10.24423/AOM.3498
A. Altınkaynak, M. Gürgöze
{"title":"A new dynamic model for a rotating beam carrying extra partially distributed mass","authors":"A. Altınkaynak, M. Gürgöze","doi":"10.24423/AOM.3498","DOIUrl":"https://doi.org/10.24423/AOM.3498","url":null,"abstract":"In this paper, a new dynamic model for the vibration analysis of an inwardoriented rotating cantilever beam with extra distributed mass was presented. The derived differential equation of motion was solved using the meshless methods of generalizedMultiquadric Radial Basis Function (RBF) and the eigenfrequencies of the system were determined. The same problem was also modeled using the finite element method and the results were compared to validate the accuracy of the proposed model. Later, the effect of the partially distributed mass amount and location on the eigenfrequencies was studied for various beam lengths. The results showed that the eigenfrequency at a constant rotational speed mostly decreased unless the mass was located at the free end of the beam. The location of the mass had a greater effect on the first eigenfrequency compared to the second and third eigenfrequencies. A joint dimensionless eigenfrequency was found at a specific rotational speed regardless of the distributed mass. Nearly constant dimensionless eigenfrequencies could be obtained for a wide range of rotational speeds by adjusting the distributed mass.","PeriodicalId":8280,"journal":{"name":"Archives of Mechanics","volume":"72 1","pages":"307-321"},"PeriodicalIF":0.8,"publicationDate":"2020-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49189250","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Nanofluid flow and heat transfer of carbon nanotube and graphene platelette nanofluids in entrance region of microchannels 碳纳米管和石墨烯板纳米流体在微通道入口区域的流动和传热
IF 0.8 4区 工程技术
Archives of Mechanics Pub Date : 2020-10-08 DOI: 10.24423/AOM.3556
M. Fuller, J. Liu
{"title":"Nanofluid flow and heat transfer of carbon nanotube and graphene platelette nanofluids in entrance region of microchannels","authors":"M. Fuller, J. Liu","doi":"10.24423/AOM.3556","DOIUrl":"https://doi.org/10.24423/AOM.3556","url":null,"abstract":"Suspensions of nano-scale particles in liquids, dubbed nanofluids, are of great interest for heat transfer applications. Nanofluids potentially offer superior thermal conductivity to alternative, pure fluids and are of particular interest in applications where active cooling of power-dense systems is required. In this work, the thermophysical properties of carbon nanotube nanofluids (CNTNf) and those of graphene nanoplatelette nanofluids (GNPNf) as functions of particle volume fraction are deduced from published experiments. These properties are applied to a perturbative boundary layer model to examine how the velocity and temperature profiles (and correspondingly shear stress and surface heat transfer) vary with the nanoparticle concentration in the entrance region of microchannels. Findings of this modeling effort indicate that both shear stress and heat transfer in GNPNf increase with increasing particle concentration. The normalized increase in shear stress is approximately twice that for heat transfer as a function of the GNP particle concentration. Interestingly, CNTNf shows anti-enhancement heat transfer behaviour; an increasing concentration of CNT nanoparticles is associated with both an increase in shear stress and a decrease in the surface heat transfer rate.","PeriodicalId":8280,"journal":{"name":"Archives of Mechanics","volume":"72 1","pages":"355-379"},"PeriodicalIF":0.8,"publicationDate":"2020-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43686568","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Formulas for the slowness of Stoneley waves with sliding contact 具有滑动接触的斯通利波慢度公式
IF 0.8 4区 工程技术
Archives of Mechanics Pub Date : 2020-09-23 DOI: 10.24423/AOM.3612
P. Giang, P. C. Vinh, V. Anh
{"title":"Formulas for the slowness of Stoneley waves with sliding contact","authors":"P. Giang, P. C. Vinh, V. Anh","doi":"10.24423/AOM.3612","DOIUrl":"https://doi.org/10.24423/AOM.3612","url":null,"abstract":"The main aim of this paper is to derive formulas for the slowness of Stoneley waves traveling along the sliding interface of two isotropic elastic half-spaces. These formulas have been obtained by employing the complex function method. From the derivation of them, it is shown that if a Stoneley wave exists, it is unique. Based on the obtained formulas, it is proved that a Stoneley wave is always possible for two isotropic elastic half-spaces with the same bulk wave velocities. This result leads to the fact that a Stoneley wave is always possible for two elastic half-spaces satisfying the Wiechert condition, a condition that plays an important role in acoustic analyses. The obtained formulas are of theoretical interest and they will be useful in practical applications, especially in nondestructive evaluations.","PeriodicalId":8280,"journal":{"name":"Archives of Mechanics","volume":"72 1","pages":"465-481"},"PeriodicalIF":0.8,"publicationDate":"2020-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45841627","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
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