Archives of Mechanics最新文献_第9页

Elastic properties of a unidirectional composite reinforced with hexagonal array of fibers 六边形纤维增强单向复合材料的弹性性能

IF 0.8 4区工程技术

Archives of Mechanics Pub Date : 2018-06-21 DOI: 10.24423/AOM.2765

T. Czapliński, P. Drygaś, S. Gluzman, V. Mityushev, W. Nawalaniec, G. Ziętek

{"title":"Elastic properties of a unidirectional composite reinforced with hexagonal array of fibers","authors":"T. Czapliński, P. Drygaś, S. Gluzman, V. Mityushev, W. Nawalaniec, G. Ziętek","doi":"10.24423/AOM.2765","DOIUrl":"https://doi.org/10.24423/AOM.2765","url":null,"abstract":"It is difficult to measure the transverse shear modulus of the fibrous composites. Thus, theoretical investigations by means of analytical and numerical techniques are paramount. In particular, they are important for the regime with high-concentration of fibers. We apply general techniques to study the mechanical properties of unidirectional fibers with a circular section embedded into the matrix and organized into the hexagonal array. Our theoretical considerations are designed to include two regimes, of low and high concentrations of inclusions. The former regime is controlled by Hashin–Shtrikman lower bounds, while the latter is controlled by square-root singularity. We derived the analytical formulae for the effective shear, Young and bulk moduli in the form of the rational expressions valid up to O ( f 7 ) by the method of functional equations. The obtained formulae contains elastic constants of components in a symbolic form as well as the concentration f . The general scheme based on the asymptotically equivalent transformations is developed to extend the obtained analytical formulae to the critical concentration of touching fibers. A comparison with the numerical FEM is performed for all concentrations of inclusions. Good agreement is achieved for all available concentrations.","PeriodicalId":8280,"journal":{"name":"Archives of Mechanics","volume":"70 1","pages":"207-239"},"PeriodicalIF":0.8,"publicationDate":"2018-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43595238","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

Surface Green’s functions in finite plane elastostatics of harmonic materials 谐波材料有限平面弹性静力学中的格林曲面函数

IF 0.8 4区工程技术

Archives of Mechanics Pub Date : 2018-04-30 DOI: 10.24423/AOM.2834

X. Wang, P. Schiavone

引用次数: 0

Analyses of elastic limit heat loads in thick walled tubes subjected to periodic surface temperatures: analytical treatment 厚壁管在周期性表面温度作用下的弹性极限热载荷分析：分析处理

IF 0.8 4区工程技术

Archives of Mechanics Pub Date : 2018-02-28 DOI: 10.24423/AOM.2831

T. Apatay, A. Eraslan

引用次数: 3

Equivalent linearization technique in nonlinear stochastic dynamics of a cable-mass system with time-varying length 时变长度索-质量系统非线性随机动力学的等效线性化技术

IF 0.8 4区工程技术

Archives of Mechanics Pub Date : 2018-01-01 DOI: 10.24423/AOM.3142

Hanna Weber, R. Iwankiewicz, S. Kaczmarczyk

{"title":"Equivalent linearization technique in nonlinear stochastic dynamics of a cable-mass system with time-varying length","authors":"Hanna Weber, R. Iwankiewicz, S. Kaczmarczyk","doi":"10.24423/AOM.3142","DOIUrl":"https://doi.org/10.24423/AOM.3142","url":null,"abstract":"In this paper the transverse vibrations of a vertical cable carrying a concentrated mass at its lower end and moving slowly vertically within the host structure are considered. It is assumed that longitudinal inertia of the cable can be neglected, with the longitudinal motion of the concentrated mass coupled with the lateral motion of the cable. An expansion of the lateral displacement of a cable in terms of approximating functions is used. The excitation acting upon the cable-mass system is a base-motion excitation due to the sway motion of a host tall structure. Such a motion of a structure often results due to action of the wind, hence it may be adequately idealized as a narrow-band random process. The narrow-band process is represented as the output of a system of two linear filters to the input in a form of a Gaussian white noise process. The non-linear problem is dealt with by an equivalent linearization technique, where the original non-linear system is replaced with an equivalent linear one, whose coefficients are determined from the condition of minimization of a mean-square error between the non-linear and the linear systems. The mean value and variance of the transverse displacement of the cable as well as those of the longitudinal motion of the lumped mass are determined with the aid of an equivalent linear system and compared with the response of the original non-linear system subjected to the deterministic harmonic excitation.","PeriodicalId":8280,"journal":{"name":"Archives of Mechanics","volume":"71 1","pages":"393-416"},"PeriodicalIF":0.8,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68939016","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

A study of critical point instability of micro and nano beams under a distributed variable-pressure force in the framework of the inhomogeneous non-linear nonlocal theory 在非均匀非线性非局部理论框架下微纳梁在分布变压力作用下的临界点失稳研究

IF 0.8 4区工程技术

Archives of Mechanics Pub Date : 2017-12-20 DOI: 10.24423/AOM.2660

Z. Rahimi, G. Rezazadeh, W. Sumelka, Xiao-jun Yang

{"title":"A study of critical point instability of micro and nano beams under a distributed variable-pressure force in the framework of the inhomogeneous non-linear nonlocal theory","authors":"Z. Rahimi, G. Rezazadeh, W. Sumelka, Xiao-jun Yang","doi":"10.24423/AOM.2660","DOIUrl":"https://doi.org/10.24423/AOM.2660","url":null,"abstract":"Fractional derivative models (FDMs) result from introduction of fractional derivatives (FDs) into the governing equations of the differential operator type of linear solid materials. FDMs are more general than those of integer derivative models (IDMs) so they are more fixable to describe physical phenomena. In this paper the inhomogeneous nonlocal theory has been introduced based on conformable fractional derivatives (CFD) to study the critical point instability of micro/nano beams under a distributed variable-pressure force. The phase of distributed variable-pressure force is used for electrostatic force, electromagnetic force and so on. This model has two free parameters: i) parameter to control the order of inhomogeneity in constitutive relations that gives a general form to the model, and ii) a nonlocal parameter to consider size dependence effects in micron and sub-micron scales. As a case study the theory has been used to model micro cantilever (C-F) and doubly-clamped (C-C) silicon beams under a distributed uniform electrostatic force in the presence of von-Karman nonlinearity and their static critical point (static pull-in instability), moreover, effects of different inhomogeneity have been shown on the pull-in instability.","PeriodicalId":8280,"journal":{"name":"Archives of Mechanics","volume":"69 1","pages":"413-433"},"PeriodicalIF":0.8,"publicationDate":"2017-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45580753","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: 20

Analysing effective thermal conductivity of 2D closed-cell foam based on shrunk Voronoi tessellations 基于收缩Voronoi镶嵌的二维闭孔泡沫有效导热系数分析

IF 0.8 4区工程技术

Archives of Mechanics Pub Date : 2017-12-20 DOI: 10.24423/AOM.2708

Hui Wang, B. Liu, Y.-X. Kang, Q. Qin

引用次数: 7

Wave fields in the stratified fluid-saturated porous half-space induced by dislocation sources 层状流体饱和多孔半空间中位错源诱导的波场

IF 0.8 4区工程技术

Archives of Mechanics Pub Date : 2017-12-20 DOI: 10.24423/AOM.2704

Y. Song, J. Shi

引用次数: 0

Numerical study of a turbulent hydrogen flame in oxy-combustion regimes 全氧燃烧条件下湍流氢火焰的数值研究

IF 0.8 4区工程技术

Archives of Mechanics Pub Date : 2017-11-04 DOI: 10.24423/AOM.2298

A. Wawrzak, A. Tyliszczak

{"title":"Numerical study of a turbulent hydrogen flame in oxy-combustion regimes","authors":"A. Wawrzak, A. Tyliszczak","doi":"10.24423/AOM.2298","DOIUrl":"https://doi.org/10.24423/AOM.2298","url":null,"abstract":"This paper presents the results of large eddy simulation/conditional moment closure (LES-CMC) computations of a turbulent flame in oxy-combustion regimes complemented by 0D-CMC analysis. The fuel is pure hydrogen and it issues into a hot oxidiser stream which is a mixture of oxygen and water vapour. The flame is initiated by a spark, then it spreads and propagates through the domain and eventually stabilises as a lifted or attached one. The present problem offers new challenges to combustion modelling as the observed combustion process is strongly unsteady. In cases of large content of oxygen in the oxidiser stream the flame has very high temperature (≈ 3000 K) and large temperature/density variations. Nevertheless, it is shown that LES-CMC simulations are stable in such conditions and can be successfully applied to oxy-combustion studies. We analyse the dependence of the flame temperatures and lift-off height of the flames LH on the oxidiser composition and chemical kinetics. It is shown that both these factors may affect the flame behaviour. We identified the conditions in which LH exhibits a linear dependence on the oxidiser composition independently of applied chemical kinetics, and the regimes where the LH changes in a non-linear manner and strongly depends on the chemical kinetics.","PeriodicalId":8280,"journal":{"name":"Archives of Mechanics","volume":"33 1","pages":"157-175"},"PeriodicalIF":0.8,"publicationDate":"2017-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68937971","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

Droplet bouncing on the surface with micro-structure 水滴在具有微结构的表面上反弹

IF 0.8 4区工程技术

Archives of Mechanics Pub Date : 2017-11-04 DOI: 10.24423/AOM.2401

T. Bobinski, G. Sobieraj, M. Psarski, Grzegorz Celichowski, J. Rokicki

引用次数: 19

Free vibration analysis of functionally graded rectangular nanoplates considering spatial variation of the nonlocal parameter 考虑非局部参数空间变化的功能梯度矩形纳米片自由振动分析

IF 0.8 4区工程技术

Archives of Mechanics Pub Date : 2017-11-04 DOI: 10.24423/AOM.2414

A. Ghassabi, S. Dag, E. Cigeroglu

引用次数: 7