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Reactive Molecular Dynamic Simulations of Hydrogenation Process of Amorphous Silicon Nitride 非晶氮化硅加氢过程的反应分子动力学模拟
IF 1.3 Q3 Mathematics Pub Date : 2022-04-18 DOI: 10.1142/s2047684122500087
M. A. Pamungkas, Anisa Widyaningrum, Istiroyah
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引用次数: 0
Simulation of Magnetic Field Effect on Heat Transfer Enhancement of Swirling Nanofluid 磁场对旋流纳米流体强化传热作用的模拟
IF 1.3 Q3 Mathematics Pub Date : 2022-04-18 DOI: 10.1142/s2047684122500075
B. Mahfoud
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引用次数: 1
A Micromechanical and Numerical Model for Effective Thermal Conductivity of Areca Fiber and Coconut Shell Particulate Reinforced Hybrid Composites 槟榔纤维和椰子壳颗粒增强复合材料有效导热系数的微观力学和数值模型
IF 1.3 Q3 Mathematics Pub Date : 2022-04-18 DOI: 10.1142/s2047684122500063
G. Kishore Chowdari, Dr D V V Krishna Prasad, S. Devireddy
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引用次数: 0
Incident waves at the surface of micropolar porous materials 微极多孔材料表面的入射波
IF 1.3 Q3 Mathematics Pub Date : 2022-03-28 DOI: 10.1142/s2047684122500026
R. Lianngenga, J. Lalvohbika, S. Singh
The problems of elastic wave propagation in the micropolar porous materials have been attempted under the interaction of micro-rotation tensor and porous distribution in this material. We obtain the existence of three coupled longitudinal and two coupled shear waves propagating with different phase speeds. Numerically, the phase speed and attenuation of five basic waves are computed. We consider the incident plane waves at the boundary of micropolar porous materials, then the dispersive nature of the incident waves is studied and the existence of critical angle for the incident shear wave is found. The amplitude and energy ratios of various reflected waves for the incident coupled longitudinal and shear waves are obtained analytically and numerically. Further, the influence of different material parameters is studied using dispersion relation and the relevant numerical values.
在微旋张量和微孔分布相互作用下,研究了微极多孔材料中弹性波的传播问题。得到了以不同相速传播的三耦合纵波和两耦合横波的存在性。数值计算了五种基本波的相速和衰减。考虑入射平面波在微极多孔材料边界处的作用,研究了入射平面波的色散特性,发现了入射横波存在临界角。通过解析和数值计算,得到了入射纵波和横波耦合时各种反射波的振幅和能量比。进一步利用色散关系和相关数值研究了不同材料参数的影响。
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引用次数: 0
A fractional approach to fluid flow and solute transport within deformable saturated porous media 可变形饱和多孔介质中流体流动和溶质输运的分式方法
IF 1.3 Q3 Mathematics Pub Date : 2022-03-15 DOI: 10.1142/s2047684122500038
V. Salomoni, N. De Marchi
The non-Darcian flow and solute transport in geometrically nonlinear porous media are modeled with Riesz derivative solved via Simpson’s rule or treated through the Grünwald–Letnikow definition and subsequently discretized via Finite Difference schemes when considering anomalous diffusion, nonlinear diffusion, or anomalous solute advection–dispersion, respectively. Particularly, the standard diffusion and advection–dispersion equations are converted into fractional equations to take into account memory effects as well as non-Fickian dispersion processes. Hence, a 3D hydro-mechanical model accounting for geometric nonlinearities is correspondingly developed including the fractional diffusion–advection–dispersion equations (FRADEs) and a series of one-dimensional analyses are performed with validation purposes.
几何非线性多孔介质中的非达西流动和溶质输移分别用Riesz导数通过Simpson规则求解或gr nwald - letnikow定义进行建模,然后分别考虑异常扩散、非线性扩散或异常溶质平流-弥散,通过有限差分格式进行离散化。特别地,标准扩散和平流色散方程被转换成分数阶方程,以考虑记忆效应和非菲克色散过程。因此,相应地建立了考虑几何非线性的三维水力学模型,包括分数扩散-平流-弥散方程(FRADEs),并进行了一系列一维分析以验证其有效性。
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引用次数: 4
Effect of uniform and nonuniform porosity on free vibration of functionally graded circular plate 均匀和非均匀孔隙率对功能梯度圆板自由振动的影响
IF 1.3 Q3 Mathematics Pub Date : 2022-02-16 DOI: 10.1142/s2047684122500014
Rahul Kumar, S. Khare
The purpose of this study is to determine the natural frequencies of functionally graded (FG) porous circular plates while taking into account the uniform and nonuniform porosity distribution in the thickness direction. The material properties of FG plates are assumed to be varying continuously in the thickness direction. The material properties are calculated based on Voigt’s micro-mechanical model taking power law distribution method with arbitrary power index. The mathematical model of the FG circular porous plate is based on the first-order shear deformation theory (FSDT). The motion of equations is derived using Hamilton’s energy principle and the Differential Quadrature Method (DQM) is applied to solve this equation. Convergence studies with respect to the number of nodes are used to validate the established solution methodology for nondimensional frequencies of FG circular plates. The nondimensional frequency for the FG circular plate is calculated and compared to the existing literature results. The effects of the thickness to radius ratio, material parameters, porosity distribution, and boundary conditions on the fundamental frequency for FG porous circular plates are also discussed in detail.
本研究的目的是在考虑厚度方向均匀和非均匀孔隙度分布的情况下,确定功能梯度多孔圆板的固有频率。假设FG板的材料性能沿厚度方向连续变化。基于Voigt微力学模型,采用任意幂指数幂律分布法计算材料性能。基于一阶剪切变形理论(FSDT)建立了FG圆孔板的数学模型。利用哈密顿能量原理推导了方程的运动,并应用微分正交法求解了方程。关于节点数的收敛研究用于验证FG圆板无量纲频率的建立的解决方法。计算了FG圆板的无因次频率,并与已有文献结果进行了比较。讨论了壁厚半径比、材料参数、孔隙率分布和边界条件对FG多孔圆板基频的影响。
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引用次数: 2
3D waviness effect of carbon nanotubes on fundamental natural frequency and modeling of resonance of nanocomposite structure 碳纳米管的三维波浪形对纳米复合材料结构基本固有频率的影响及共振建模
IF 1.3 Q3 Mathematics Pub Date : 2021-12-22 DOI: 10.1142/s2047684121500317
Narendra Kumar Jha, Santosh Kumar, Srihari Dodla
Optimum waviness of carbon nanotubes (CNTs) inside a matrix composite beam and composite bridge is endeavor to obtain its utmost natural frequencies considering a volume fraction of CNTs. 3D FE model of the beam is generated via ABAQUS along with Python programming and thereafter to calculate an optimal waviness under encastre boundary conditions and different vibration modes. The effect of waviness and the number of waves on mode shapes, natural frequency, and corresponding stiffness of a beam are examined, and the outcomes are compared to those of a pure polymer beam, straight CNT-based composite beam and nanobridge value. It was decided to conduct a convergence analysis and the optimum value of the number of elements and nodes was studied and found that 19666 nodes are reliable to give correct results. The FE analysis results reveal that the waviness effect of CNTs significantly depends on mode shapes. The fundamental natural frequency, as well as other related vibrational properties, is observed to be enhanced. By decreasing the waviness from 50 to 25, there is an increment in natural frequency in the 3rd mode by 68.68, 5th mode by 44.6 and 6th mode by 62.4, but in other modes, there is negligible difference. When single-wave CNTs were compared, the sine wave produced more frequency in the third mode by 206.03, 4th mode by 199.8 and 6th mode by 478.6[Formula: see text]Hz. After comparing the results of different waviness types, single sine waviness, multi-waved CNTs, straight CNTs and neat matrix, it is found that for the highest value of waviness of CNT fiber-based nanocomposites, the natural frequency of CNT-reinforced nanocomposite reaches the frequency of the neat matrix and further adding of CNTs does not increase the value of frequency. The result showed that the finite element model (FEM) is a good simulation of the vibratory system.
考虑到碳纳米管的体积分数,碳纳米管在基体复合梁和复合桥内的最佳波纹度是努力获得其最大固有频率。通过ABAQUS和Python编程生成梁的三维有限元模型,然后计算在包壳边界条件和不同振动模式下的最佳波纹度。研究了波纹度和波数对梁的振型、固有频率和相应刚度的影响,并将结果与纯聚合物梁、直CNT基复合梁和纳米桥值的结果进行了比较。决定进行收敛性分析,并研究了元素和节点数量的最佳值,发现19666个节点是可靠的,可以给出正确的结果。有限元分析结果表明,碳纳米管的波纹度效应明显取决于模式形状。基本固有频率以及其他相关的振动特性被观察到被增强。通过将波纹度从50降低到25,在第三模式中自然频率增加了68.68,第五模式增加了44.6,第六模式增加了62.4,但在其他模式中,差异可以忽略不计。当比较单波CNT时,正弦波在第三模式中产生的频率增加了206.03,在第四模式中产生了199.8,在第六模式下产生了478.6[公式:见正文]Hz。通过比较不同波纹度类型、单正弦波、多波CNTs、直CNTs和纯基体的结果,发现对于CNT纤维基纳米复合材料的波纹度最高值,CNT增强的纳米复合材料固有频率达到纯基体的频率,并且进一步添加CNTs不会增加频率值。结果表明,该有限元模型能很好地模拟振动系统。
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引用次数: 1
Numerical simulation of thermal behavior in a naturally ventilated greenhouse 自然通风温室热行为的数值模拟
IF 1.3 Q3 Mathematics Pub Date : 2021-12-22 DOI: 10.1142/s2047684121500342
Yassine Slatni, M. Djezzar, Tarek Messai, Mahfoud Brahim
Inside a greenhouse, during the day, the temperature rises very quickly, while the plants have to face temperatures that rise to more than 35[Formula: see text]C. The plant closes its pores to limit sweating and stops growing. As soon as it gets hot, it is therefore necessary to ventilate the greenhouse. In this context, this research aims to investigate the behavior of the natural ventilation on the internal climate of the tunnel greenhouse, which contains two openings in the roof. The effect of the position of the openings on heat transfer is considered, thus promoting photosynthesis and plant growth. The vorticity transport equation, the Poisson equation and the energy equation are discretized by using the finite volume method. Two-dimensional simulations that described laminar flows in a steady state were carried out. Flows are studied for a range of parameters: the Rayleigh number, Ra, [Formula: see text], and three positions of opening ventilation. The results reveal that the ventilation through the top opening position allows the best creation of heat exchanges between the air inside the greenhouse and its atmosphere, which serves to conserve the plant under a favorable climate that allows its growth.
在温室里,白天,温度上升得很快,而植物必须面对超过35摄氏度的温度。这种植物关闭毛孔以限制出汗并停止生长。因此,一旦天气变热,就必须给温室通风。在这种背景下,本研究旨在研究自然通风对隧道温室内部气候的影响,隧道温室在屋顶上有两个开口。考虑了开口位置对传热的影响,从而促进光合作用和植物生长。采用有限体积法离散了涡度输运方程、泊松方程和能量方程。对稳态层流进行了二维模拟。研究了一系列参数的流量:瑞利数Ra、[公式:见正文]和三个开启通风位置。结果表明,通过顶部开口位置的通风可以在温室内的空气和大气之间产生最佳的热交换,这有助于在有利的气候下保护植物,使其生长。
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引用次数: 1
First-Principles Study on Controlling Transport Gap of Graphene Nanoribbons using Hybrid Armchair-Zigzag Nanostructures 混合扶手椅-锯齿形纳米结构控制石墨烯纳米带传输间隙的第一性原理研究
IF 1.3 Q3 Mathematics Pub Date : 2021-11-22 DOI: 10.1142/s2047684121500354
Nguyen Tien Cuong
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引用次数: 1
An analytical approach to evaluate effective coefficients of 1–3 piezoelectric composites 一种评估1-3压电复合材料有效系数的分析方法
IF 1.3 Q3 Mathematics Pub Date : 2021-11-11 DOI: 10.1142/s2047684121500263
Sanjeeva Kumar Singh, S. K. Panda
In this paper, a micromechanics method is developed to evaluate effective coefficients of piezoelectric fiber-reinforced composites. An exact solution is derived for effective elastic, piezoelectric and dielectric coefficients of such piezocomposites subjected to the applied load in the direction transverse to the fiber orientation. Simultaneously, based on finite element method, a numerical study is performed on a representative volume element of such piezo composite containing fiber in square packing arrangement. The finite element method provides a numerical solution to evaluate effective elastic, piezoelectric and dielectric coefficients for discrete volume fraction of fiber, the range being 0.1–0.6 for this study. The results are interpolated to understand the overall behavior of such piezocomposites. The results obtained from the micromechanics method and the finite element method are compared with the results obtained from other models based on strength of materials method given in the literature. It is observed that the method developed in this study provides better results for effective coefficients susceptible to fiber packing arrangements.
本文提出了一种评估压电纤维增强复合材料有效系数的微观力学方法。导出了这种压电复合材料在横向于纤维取向的方向上受到施加载荷时的有效弹性系数、压电系数和介电系数的精确解。同时,基于有限元方法,对这种方形填充结构的含纤维压电复合材料的代表性体积单元进行了数值研究。有限元方法提供了一个数值解来评估纤维离散体积分数的有效弹性、压电和介电系数,本研究的范围为0.1-0.6。对结果进行插值,以了解这种压电复合材料的整体行为。将细观力学方法和有限元方法的结果与文献中基于材料强度法的其他模型的结果进行了比较。据观察,本研究中开发的方法为易受纤维填充排列影响的有效系数提供了更好的结果。
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International Journal of Computational Materials Science and Engineering
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