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- 2015 (125) (remove)
The Carbon journal is pleased to introduce a themed collection of recent articles in the area of computational carbon nanoscience. This virtual special issue was assembled from previously published Carbon articles by Guest Editors Quan Wang and Behrouz Arash, and can be accessed as a set in the special issue section of the journal website homepage: www.journals.elsevier.com/carbon. The article below by our guest editors serves as an introduction to this virtual special issue, and also a commentary on the growing role of computation as a tool to understand the synthesis and properties of carbon nanoforms and their behavior in composite materials.
VARIATIONAL POSITING AND SOLUTION OF COUPLED THERMOMECHANICAL PROBLEMS IN A REFERENCE CONFIGURATION
(2015)
Variational formulation of a coupled thermomechanical problem of anisotropic solids for the case of non-isothermal finite deformations in a reference configuration is shown. The formulation of the problem includes: a condition of equilibrium flow of a deformation process in the reference configuration; an equation of a coupled heat conductivity in a variational form, in which an influence of deformation characteristics of a process on the temperature field is taken into account; tensor-linear constitutive relations for a hypoelastic material; kinematic and evolutional relations; initial and boundary conditions. Based on this formulation several axisymmetric isothermal and coupled problems of finite deformations of isotropic and anisotropic bodies are solved. The solution of coupled thermomechanical problems for a hollow cylinder in case of finite deformation showed an essential influence of coupling on distribution of temperature, stresses and strains. The obtained solutions show the development of stressstrain state and temperature changing in axisymmetric bodies in the case of finite deformations.
Polymer modification of mortar and concrete is a widely used technique in order to improve their durability properties. Hitherto, the main application fields of such materials are repair and restoration of buildings. However, due to the constant increment of service life requirements and the cost efficiency, polymer modified concrete (PCC) is also used for construction purposes. Therefore, there is a demand for studying the mechanical properties of PCC and entitative differences compared to conventional concrete (CC). It is significant to investigate whether all the assumed hypotheses and existing analytical formulations about CC are also valid for PCC. In the present study, analytical models available in the literature are evaluated. These models are used for estimating mechanical properties of concrete. The investigated property in this study is the modulus of elasticity, which is estimated with respect to the value of compressive strength. One existing database was extended and adapted for polymer-modified concrete mixtures along with their experimentally measured mechanical properties. Based on the indexed data a comparison between model predictions and experiments was conducted by calculation of forecast errors.
What is nowadays called (classic) Clifford analysis consists in the establishment of a function theory for functions belonging to the kernel of the Dirac operator. While such functions can very well describe problems of a particle with internal SU(2)-symmetries, higher order symmetries are beyond this theory. Although many modifications (such as Yang-Mills theory) were suggested over the years they could not address the principal problem, the need of a n-fold factorization of the d’Alembert operator. In this paper we present the basic tools of a fractional function theory in higher dimensions, for the transport operator (alpha = 1/2 ), by means of a fractional correspondence to the Weyl relations via fractional Riemann-Liouville derivatives. A Fischer decomposition, fractional Euler and Gamma operators, monogenic projection, and basic fractional homogeneous powers are constructed.
Recently there has been a surge of interest in PDEs involving fractional derivatives in different fields of engineering. In this extended abstract we present some of the results developedin [3]. We compute the fundamental solution for the three-parameter fractional Laplace operator Δ by transforming the eigenfunction equation into an integral equation and applying the method of separation of variables. The obtained solutions are expressed in terms of Mittag-Leffer functions. For more details we refer the interested reader to [3] where it is also presented an operational approach based on the two Laplace transform.
This article presents the Rigid Finite Element Method in the calculation of reinforced concrete beam deflection with cracks. Initially, this method was used in the shipbuilding industry. Later, it was adapted in the homogeneous calculations of the bar structures. In this method, rigid mass discs serve as an element model. In the flat layout, three generalized coordinates (two translational and one rotational) correspond to each disc. These discs are connected by elastic ties. The genuine idea is to take into account a discrete crack in the Rigid Finite Element Method. It consists in the suitable reduction of the rigidity in rotational ties located in the spots, where cracks occurred. The susceptibility of this tie results from the flexural deformability of the element and the occurrence of the crack. As part of the numerical analyses, the influence of cracks on the total deflection of beams was determined. Furthermore, the results of the calculations were compared to the results of the experiment. Overestimations of the calculated deflections against the measured deflections were found. The article specifies the size of the overestimation and describes its causes.
The sizing of simple resonators like guitar strings or laser mirrors is directly connected to the wavelength and represents no complex optimisation problem. This is not the case with liquid-filled acoustic resonators of non-trivial geometries, where several masses and stiffnesses of the structure and the fluid have to fit together. This creates a scenario of many competing and interacting resonances varying in relative strength and frequency when design parameters change. Hence, the resonator design involves a parameter-tuning problem with many local optima. As its solution evolutionary algorithms (EA) coupled to a forced-harmonic FE simulation are presented. A new hybrid EA is proposed and compared to two state-of-theart EAs based on selected test problems. The motivating background is the search for better resonators suitable for sonofusion experiments where extreme states of matter are sought in collapsing cavitation bubbles.
Die Reise der Zeichen - Eine Studie zur symbolischen Bildwelt der Xiyü-Kultur an der Seidenstraße
(2015)
Kurzfassung
Die vorliegende Studie untersucht die traditionellen Xiyü-Zeichen im Visuellen verschiedener Volksgruppen am Beispiel Xinjiangs im Nordwesten Chinas, wo einst die alte Seidenstraße entlangführte. Die Untersuchung versteht sich als ein Versuch der systematischen Darstellung der symbolischen Bildwelt in Xinjiang und damit im weiteren Sinne auch als ein Versuch, das Xiyü-Kulturerbe zu bewahren, das angesichts des tiefgreifenden Wandels in China und der Go-West-Strategie des chinesischen Wirtschaftsprogramms, welches sich auf die weiten Westgebiete Chinas bezieht, in Gefahr geraten ist. Es muss ein Weg gefunden werden, Modernisierung und Tradition in Einklang zu bringen.
Diese Studie beschreibt, analysiert und bewertet exemplarisch, wie sich Zeichen und Symbole des Wissens und der Kultur entlang der Seidenstraße in Xinjiang zwischen den östlichen und westlichen Kulturen vermischt haben, wie sie übertragen wurden und inwieweit die Xiyü-Kultur reflektiert, dass Xinjiang ein Treffpunkt zwischen östlichen und westlichen Einflüssen war. In der Annährung an dieses Forschungsziel werden drei Hauptfragen zusammengefasst:
Erstens, was kann das Erfahrungsmodell der alten Seidenstraße zum Verständnis der kulturellen Entwicklung im heutigen Informationszeitalter beitragen?
Zweitens, was bedeutet Vielfalt für die kulturelle Kommunikation in Xinjiang? Steigen die Medienereignisse der visuellen Kommunikation und die internationalen Einflüsse an?
Drittens, wie kann Xinjiang die Chancen der Go-West-Strategie des chinesischen Wirtschaftsprogramms in einer zunehmend globalisierten Welt nutzen und in der zukünftigen weltwirtschaftlichen Entwicklung wieder Vitalität zeigen?
Um sich auf diese Weise den Antworten zu nähern, verwendet diese Studie einen Ansatz, der eine kulturanthropologische Perspektive integriert. Auf Grundlage einer Feldstudie werden Eigenschaften der traditionellen visuellen Xiyü-Zeichen, ihre Bedeutung für die ethnischen Volksgruppen Xinjiangs und den kulturellen Austausch zwischen Europa und Asien diskutiert und der besondere Einfluss von Handel und Verkehrswegen aufgezeigt.
Die visuellen Zeichenformen der Xiyü-Kultur wurden von der Zeit vor der Islamisierung bis hin zur heutigen islamischen Zeit dargestellt. Die Forschung zeigt, dass die Zeichen kein ortsgebundenes Kulturphänomen oder eine lokale Tradition sind, vielmehr werden sie von regionalen, nationalen und internationalen Kulturkreisen bewusst oder unbewusst beeinflusst. Sie sind ein Ergebnis kultureller Kommunikation. Schließlich setzt sich die Studie mit den Zeichen der Xiyü-Kultur Xinjiangs in Relation mit der Go-West-Strategie der chinesischen Regierung auseinander. Die wirtschaftliche Entwicklung bringt für Xinjiang nicht nur Modernisierung und Wohlstand, sondern auch ein kulturelles und ökologisches Ungleichgewicht.
Der Mensch strukturiert alles, was er in seiner Umgebung wahrnimmt, mit Zeichen. Die Xiyü-Zeichen schaffen eine visuelle Strukturierung. Die Xiyü-Kultur hat nach wie vor Einfluss auf die Lebensweise der ethnischen Gruppen in Xinjiang. Heute hat die Konfrontation zwischen der traditionellen Xiyü-Kultur und der wirtschaftlichen Entwicklung zu einem ernsthaften Konflikt in Xinjiang geführt.
Diese Studie versteht sich als eine kritische Interpretation der aktuellen Situation der Xiyü-Kultur bzw. des chinesischen Wirtschaftsprogramms in Xinjiang. Sie will darüber hinaus einen Beitrag leisten zur Analyse der bislang nur unzureichend erfassten Wechselwirkungen zwischen Geschichte, Kultur, Politik und Wirtschaft in der kulturellen Globalisierung in Xinjiang.
The p-Laplace equation is a nonlinear generalization of the Laplace equation. This generalization is often used as a model problem for special types of nonlinearities. The p-Laplace equation can be seen as a bridge between very general nonlinear equations and the linear Laplace equation. The aim of this paper is to solve the p-Laplace equation for 2 < p < 3 and to find strong solutions. The idea is to apply a hypercomplex integral operator and spatial function theoretic methods to transform the p-Laplace equation into the p-Dirac equation. This equation will be solved iteratively by using a fixed point theorem.
Over the last decade, the technology of constructing buildings has been dramatically developed especially with the huge growth of CAD tools that help in modeling buildings, bridges, roads and other construction objects. Often quality control and size accuracy in the factory or on construction site are based on manual measurements of discrete points. These measured points of the realized object or a part of it will be compared with the points of the corresponding CAD model to see whether and where the construction element fits into the respective CAD model. This process is very complicated and difficult even when using modern measuring technology. This is due to the complicated shape of the components, the large amount of manually detected measured data and the high cost of manual processing of measured values. However, by using a modern 3D scanner one gets information of the whole constructed object and one can make a complete comparison against the CAD model. It gives an idea about quality of objects on the whole. In this paper, we present a case study of controlling the quality of measurement during the constructing phase of a steel bridge by using 3D point cloud technology. Preliminary results show that an early detection of mismatching between real element and CAD model could save a lot of time, efforts and obviously expenses.