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Reactive Additive Manufacturing Simulation of Thermoset Nano Graphene Inclusion 热固性纳米石墨烯包合物的反应增材制造模拟
IF 1.5 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2020-09-01 DOI: 10.1142/s1756973720500043
F. Abdi, H. Baid, N. Moazami, J. Batten, Dade Huang, Amirhossein Eftekharian, R. Hajiha, K. Nikbin
During the 3D printing of graphene platelet inclusion in resin, residual stresses due to thermal loading can cause wrinkle/distortion of final part. This paper presents a multi-scale modeling approach to reduce the residual thermal stress at the interphase between inclusion and resin. Material characterization is performed utilizing an integrated multi-scale modeling approach: (a) nano modeling examines effect of defects such as void shape/size/distribution, platelet orientation, etc.); (b) micro-mechanics examines constituents (platelet/matrix/interphase, residual stress); (c) macro-mechanics examines the delamination and debonding. De-homogenized multi-scale modeling approach provides detailed stiffness/strength to Finite Element Model (FEM) for full structural/thermal progressive failure analysis to address wrinkling/distortion, damage and delamination evolution via cohesive traction separation.
在树脂中石墨烯血小板包裹体的3D打印过程中,由于热载荷产生的残余应力会导致最终零件起皱/变形。本文提出了一种多尺度模拟方法来减小包体与树脂界面的残余热应力。利用集成的多尺度建模方法进行材料表征:(a)纳米建模检查缺陷的影响,如空洞形状/大小/分布,血小板方向等);(b)微观力学检查组分(血小板/基质/间相,残余应力);(c)宏观力学检查分层和脱粘。去均质化多尺度建模方法为有限元模型(FEM)提供了详细的刚度/强度,用于全面的结构/热渐进失效分析,以解决起皱/变形、损伤和分层演变等问题。
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引用次数: 2
Analytical Study for Fractional Order Mathematical Model of Concentration of Ca2+ in Astrocytes Cell with a Composite Fractional Derivative 星形胶质细胞Ca2+浓度分数阶数学模型的复合分数阶导数分析研究
IF 1.5 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2020-09-01 DOI: 10.1142/s1756973720500055
Vinod Gill, Yudhveer Singh, Devendra Kumar, Jagdev Singh
In this paper, we have studied the concentration profile of Cytosolic calcium ion (Ca[Formula: see text] with the aid of fractional calculus. A mathematical model has been considered to examine the influence of fractional advection diffusion equation (cross flow) for the calcium profile. A closed form solution of the fractional advection diffusion equation, arising in study of diffusion of cytosolic calcium in astocytes cell, has been obtained by using Sumudu transform techniques. Graphs for the calcium concentration profiles have been simulated for certain values of the parameters to examine the various effects on concentrations of Cytosolic calcium ion.
在本文中,我们借助分数微积分研究了胞浆钙离子(Ca[公式:见正文])的浓度分布。考虑了一个数学模型来检验分数平流-扩散方程(横流)对钙分布的影响。利用Sumudu变换技术,得到了在研究胶质细胞胞浆钙扩散过程中产生的分数平流扩散方程的闭式解。对于某些参数值,已经模拟了钙浓度曲线图,以检查对胞浆钙离子浓度的各种影响。
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引用次数: 5
Design and Analysis of Composite Window Frame for a Regional Aircraft 某支线飞机复合材料窗框的设计与分析
IF 1.5 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2020-08-24 DOI: 10.1142/s1756973720500067
J. A. Lopes, O. Bacarreza, Z. S. Khodaei
This work presents the design and analysis of a thermoplastic composite window frame for integration into a regional aircraft. The main parameters which are investigated include buckling, damage and failure loads of a composite window frame subjected to shear loads repesentative of fuselage skin stress distribution due to flight loads. The attachment of such thermoplastic window frame to a thermoset fuselage skin was investigated including both adhesively bonded interface as well as riveting. Even though the bonded frame did meet the design criteria, its failure was very sudden, and the riveted assembly showed a considerably higher strength and structural integrity. The numerical simulation resulted in failure loads which matched very closely to experimental results.
这项工作提出了热塑性复合材料窗框集成到支线飞机的设计和分析。研究的主要参数包括复合材料窗框在剪切载荷作用下的屈曲、损伤和破坏载荷,这些剪切载荷代表了飞行载荷引起的机身蒙皮应力分布。研究了这种热塑性窗框与热固性机身蒙皮的连接,包括粘接界面和铆接。尽管粘合框架确实符合设计标准,但它的故障非常突然,铆接组装显示出相当高的强度和结构完整性。数值模拟得到的失效载荷与实验结果非常吻合。
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引用次数: 0
Elucidating the Effect of Bimodal Grain Size Distribution on Plasticity and Fracture Behavior of Polycrystalline Materials 双峰型晶粒尺寸分布对多晶材料塑性和断裂行为的影响
IF 1.5 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2020-08-24 DOI: 10.1142/s1756973720500079
F. Barbe, I. Benedetti, V. Gulizzi, M. Calvat, C. Keller
The refinement of grains in a polycrystalline material leads to an increase in strength but as a counterpart to a decrease in elongation to fracture. Different routes are proposed in the literature to try to overpass this strength-ductility dilemma, based on the combination of grains with highly contrasted sizes. In the simplest concept, coarse grains are used to provide relaxation locations for the highly stressed fine grains. In this work, a model bimodal polycrystalline system with a single coarse grain embedded in a matrix of fine grains is considered. Numerical full-field micro-mechanical analyses are performed to characterize the impact of this coarse grain on the stress-strain constitutive behavior of the polycrystal: the effect on plasticity is assessed by means of crystal plasticity finite element modeling [B. Flipon, C. Keller, L. Garcia de la Cruz, E. Hug and F. Barbe, Tensile properties of spark plasma sintered AISI 316L stainless steel with unimodal and bimodal grain size distributions, Mater. Sci. Eng. A 729 (2018) 248–256] while the effect on intergranular fracture behavior is studied by using boundary element modeling [I. Benedetti and V. Gulizzi, A grain-scale model for high-cycle fatigue degradation in polycrystalline materials, Int. J. Fract. 116 (2018) 90–105]. The analysis of the computational results, compared to the experimentally characterized tensile properties of a bimodal 316L stainless steel, suggests that the elasto-plastic interactions taking place prior to micro-cracking may play an important role in the mechanics of fracture of this steel.
多晶材料中晶粒的细化导致强度的增加,但与断裂伸长率的降低相对应。文献中提出了不同的路线,试图跨越这种强度-延性的困境,基于具有高度对比尺寸的晶粒的组合。在最简单的概念中,粗晶粒用于为高应力细晶粒提供松弛位置。在这项工作中,考虑了一个模型双峰多晶系统,其中单个粗晶粒嵌入细粒基体中。进行数值全场微观力学分析,以表征这种粗晶粒对多晶体应力-应变本构行为的影响:通过晶体塑性有限元建模评估对塑性的影响[B.Flifon,C.Keller,L.Garcia de la Cruz,E.Hug和F。Barbe,具有单峰和双峰晶粒尺寸分布的火花等离子烧结AISI 316L不锈钢的拉伸性能,Mater。科学。Eng.A 729(2018)248–256],同时通过边界元建模研究了对晶间断裂行为的影响[I.Benedetti和V.Gulizzi,多晶材料高周疲劳退化的晶粒尺度模型,Int.J.Fract.116(2018)90–105]。与实验表征的双峰316L不锈钢拉伸性能相比,计算结果的分析表明,在微裂纹之前发生的弹塑性相互作用可能在该钢的断裂力学中发挥重要作用。
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引用次数: 2
Approximation of Calcium Diffusion in Alzheimeric Cell 钙在阿尔茨海默氏症细胞中扩散的近似
IF 1.5 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2020-06-01 DOI: 10.1142/s1756973720500018
B. Jha, Devanshi D. Dave
Alzheimer’s disease (AD) is the most common form of dementia prevailing worldwide. It has been found that the higher level of cytosolic calcium leads to the pathological symptoms of AD and the two ...
阿尔茨海默病(AD)是全世界最常见的痴呆症。研究发现,高浓度的胞浆钙可导致AD的病理症状,并可引起AD的两种病理症状。。。
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引用次数: 8
Influence of Moving Heat Source on Skin Tissue in the Context of Two-Temperature Caputo–Fabrizio Heat Transport Law 基于双温卡普托-法布里齐奥热传递定律的移动热源对皮肤组织的影响
IF 1.5 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2020-06-01 DOI: 10.1142/s175697372050002x
A. Sur, S. Mondal, M. Kanoria
Modeling and understanding heat transport and temperature variations within biological tissues and body organs are key issues in medical thermal therapeutic applications, such as hyperthermia cance...
模拟和理解生物组织和身体器官内的热传输和温度变化是医学热治疗应用的关键问题,如热疗癌症…
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引用次数: 20
Study on the Effect of Doping on Lattice Constant and Electronic Structure of Bulk AuCu by the Density Functional Theory 用密度泛函理论研究掺杂对块状AuCu晶格常数和电子结构的影响
IF 1.5 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2020-06-01 DOI: 10.1142/s1756973720300014
Dung Nguyen-Trong, Cuong Nguyen-Chinh, Van Duong-Quoc
This paper studies the effect of GGA-PBE, GGA-PBEsol, GGA-PW91, GGA-VWN-BP, LDA-PWC, LDA-VWN parameterized exchange–correlation functionals and Cu impurity concentration on the lattice and electron...
本文研究了GGA-PBE、GGA-PBEsol、GGA-PW91、GGA-VWN-BP、LDA-PWC、LDA-VWN参数化交换相关泛函和Cu杂质浓度对其晶格和电子性能的影响。
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引用次数: 20
Refinement of the Maxwell Formula for Fiber-Reinforced Composites 纤维增强复合材料麦克斯韦公式的改进
IF 1.5 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2020-03-01 DOI: 10.1142/S175697371950001X
A. Kalamkarov, I. Andrianov, G. Starushenko
The effective properties of the fiber-reinforced composite materials with fibers of square cross-section are investigated. The novel formula for the effective coefficient of thermal conductivity refining the classical Maxwell formula (MF) is derived. The methods of asymptotic homogenization, boundary shape perturbation and Schwarz alternating process are applied. It is shown that the principal term of the asymptotic expansion of the refined formula in powers of small size of inclusions coincides with the classical MF. The corrections to the MF are obtained for different values of geometrical and physical properties of the constituents of the composite material. The analytical and numerical analyses are carried out and illustrated graphically. In particular, the derived refined formula and the MF are compared for the limiting values of the geometric dimensions and physical properties of the composite. It is shown that the refined formula is applicable for the inclusions with any conductivity in the entire range of the geometric sizes of inclusions, including the limiting cases of inclusions with zero thermal conductivity and maximally large inclusions.
研究了方形截面纤维增强复合材料的有效性能。在经典麦克斯韦公式的基础上,导出了有效导热系数的新公式。应用了渐近均匀化、边界形状摄动和Schwarz交替过程等方法。结果表明,在小尺寸夹杂物的幂次下,精炼公式的渐近展开式的主项与经典MF一致。根据复合材料成分的几何和物理性质的不同值,得到了对磁场的修正。本文进行了分析和数值分析,并用图形进行了说明。特别地,推导出的精炼公式和MF比较了复合材料的几何尺寸和物理性能的极限值。结果表明,改进后的公式适用于所有几何尺寸范围内的任何导电性的夹杂物,包括导热系数为零的夹杂物和最大的夹杂物的极限情况。
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引用次数: 2
Modeling of Cementitious Representative Volume Element with Various Water–Cement Ratios 不同水灰比下胶凝体代表性体积元的建模
IF 1.5 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2020-03-01 DOI: 10.1142/S1756973719500021
M. Shahzamanian, W. Basirun
This study uses the finite element method (FEM) to measure the mechanical properties of microstructure-based cementitious representative volume elements (RVEs) with various water–cement ratios (W/Cs) generated by CEMHYD3D. The finite element boundary condition effects that significantly and computationally change the elastic properties are studied and discussed. Various boundary conditions in ABAQUS are applied and compared with the results obtained using the variational asymptotic method for unit cell homogenization (VAMUCH). This comparison is conducted using ANSYS. This study aims to analyze and determine the effect of different boundary conditions in detail on the prediction of the elastic properties of cementitious RVE with various W/Cs and identify the best approach in this regard. Results show that Young’s, shear, and bulk moduli decrease with the increase in W/C and the boundary conditions in ABAQUS influence the outcomes, particularly on bulk modulus and Poisson’s ratio.
本研究使用有限元法(FEM)测量了CEMHYD3D生成的具有不同水灰比(W/Cs)的基于微观结构的水泥基代表性体积单元(RVE)的力学性能。研究和讨论了在计算上显著改变弹性特性的有限元边界条件效应。应用ABAQUS中的各种边界条件,并将其与用变分渐近法求解单元均匀化(VAMUCH)得到的结果进行了比较。此比较是使用ANSYS进行的。本研究旨在详细分析和确定不同边界条件对预测不同W/C水泥基RVE弹性性能的影响,并确定这方面的最佳方法。结果表明,杨氏模量、剪切模量和体积模量随着W/C的增加而降低,ABAQUS中的边界条件会影响结果,特别是体积模量和泊松比。
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引用次数: 2
Accelerator-Based Methods in Radio-Material 99Mo/99mTc Production Alternatives by Monte Carlo Method: The Scientific-Expedient Considerations in Nuclear Medicine 基于加速器的蒙特卡罗方法在放射性材料99Mo/999mTc生产替代品中的应用:核医学中的科学便利性考虑
IF 1.5 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2020-03-01 DOI: 10.1142/S1756973719300016
A. Khorshidi
Some accelerator technologies are already used for commercial [Formula: see text]Mo-99mTc production, as the economic criteria are considered representative of the main differences between diverse technologies including accelerators and reactors. This study has provided a review of known and potential [Formula: see text]Mo production using conventional medical facilities. Accelerator-based method in 99mTc production via ([Formula: see text], [Formula: see text]) direct reaction on [Formula: see text]Mo was simulated using 18[Formula: see text]MeV proton beam. Meanwhile, a conceptual design for indirect [Formula: see text]Mo production via [Formula: see text]Mo([Formula: see text])[Formula: see text]Mo and [Formula: see text]Mo(n,[Formula: see text]2n)[Formula: see text]Mo reactions was investigated when an electron source of 35[Formula: see text]MeV by accelerator is used. These indirect reactions were explored via inserted [Formula: see text]Mo samples at different positions inside the lead region. Furthermore, Adiabatic Resonance Crossing (ARC) method based on proton accelerator via transmutation in [Formula: see text]Mo([Formula: see text]Mo was examined when the 30[Formula: see text]MeV proton beam is used. Saturation activity and yield were investigated using alternative proposed methods. The potential proliferation risk associated with accelerator technetium production is minimal. While accelerators could be turned into neutron sources which could in turn be used to irradiate [Formula: see text]U to breed plutonium, and centrifuges used to enrich [Formula: see text]Mo for targets could conceivably be turned to enriching uranium, this would result in very tiny global production capability particularly compared with research or power reactors. The potential of the fresh methods could provide a replacement or complement over current reactor-based supply sources in various radioisotopes production purposes.
一些加速器技术已经用于商业[公式:见正文]Mo-99mTc生产,因为经济标准被认为代表了包括加速器和反应器在内的各种技术之间的主要差异。本研究综述了使用传统医疗设施生产钼的已知和潜在[配方:见正文]。使用18[公式:见正文]MeV质子束模拟通过[公式:参见正文],[公式:详见正文]直接反应在[公式:请见正文]Mo上产生99mTc的基于加速器的方法。同时,当使用加速器的35[公式:见文本]MeV的电子源时,研究了通过[公式:见图文本]Mo([公式:参见文本])[公式:看文本]Mo和[公式:看看文本]Mo的间接[公式:看到文本]Mo反应的概念设计。这些间接反应是通过在铅区内不同位置插入[公式:见正文]Mo样品来探索的。此外基于质子加速器的绝热共振穿越(ARC)方法,通过[公式:见正文]Mo中的嬗变([公式:参见正文]Mo在30[公式:详见正文]使用MeV质子束。使用所提出的替代方法研究饱和活性和产率。与加速器锝生产相关的潜在增殖风险是最小的。虽然加速器可以转化为中子源,进而用于辐照[公式:见正文]U以培育钚,而用于浓缩[公式:见正文]目标钼的离心机可以转化为浓缩铀,但这将导致全球生产能力非常小,特别是与研究或动力反应堆相比。新方法的潜力可以为各种放射性同位素生产目的提供替代或补充目前基于反应堆的供应源。
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引用次数: 18
期刊
Journal of Multiscale Modelling
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