The Experts below are selected from a list of 17568 Experts worldwide ranked by ideXlab platform
John J. Mecholsky - One of the best experts on this subject based on the ideXlab platform.
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Estimating theoretical strength of brittle materials using Fractal Geometry
Materials Letters, 2006Co-Authors: John J. MecholskyAbstract:Abstract The estimation of the theoretical strength of materials is important in order to assess the potential for improvements in processing and design of structures, especially with the increased interests in nanostructured materials. Most estimates are based on knowledge of inexact potential energy functions. Fractal Geometry presents a mathematical approach to the understanding of fracture in materials at all length scales. The Fractal dimension, which is a quantitative characterization of the tortuosity of the fracture surface, is directly related to the toughness of a material. Fractal Geometry provides a framework by which bond rupture can be described as a series of bond reconfigurations. This article shows how Fractal Geometry can use this framework to estimate the theoretical strength of materials based on crack tip Geometry and generated fracture surface without any assumption of the shape or type of potential energy function. The estimates are between the commonly quoted values of E / π and E / 8.
Matjaz Ramsak - One of the best experts on this subject based on the ideXlab platform.
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Multidomain BEM for laminar flow in complex Fractal Geometry
Engineering Analysis with Boundary Elements, 2019Co-Authors: Matjaz RamsakAbstract:Abstract This paper demonstrates the highly efficient 2D multidomain Boundary Element Method (BEM) for solving stream functionvorticity equations on Fractal Geometry containing a thousand corners and a hundred recirculation zones. Considering the sharp corners, two problems are solved. The problem of undefined unit normal in corner is overridden using mixed boundary element discretisation. The second problem is on determining the boundary vorticity values used as a boundary condition in a vorticity transport equation for a no-slip boundary. The implicit computation of boundary vorticities from a stream function governing equation as an integral constraint is applied. The numerical example is an intricate Fractal Geometry of the Koch snowflake solved in a large variation of Reynolds number values ranging from 10 − 6 to 100. The flow pattern self-similarity is obtained, equivalent to Fractal Geometry similarity.
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HEAT DIFFUSION IN Fractal Geometry COOLING SURFACE
Thermal Science, 2012Co-Authors: Matjaz Ramsak, Leopold SkergetAbstract:In the paper the numerical simulation of heat diffusion in the Fractal Geometry of Koch snowflake is presented using multidomain mixed Boundary Element Method. The idea and motivation of work is to improve the cooling of small electronic devices using Fractal Geometry of surface similar to cooling ribs. The heat diffusion is assumed as the only principle of heat transfer. The results are compared to the heat flux of a flat surface. The limiting case of infinite small Fractal element is computed using Richardson extrapolation.
Warren C. Strahle - One of the best experts on this subject based on the ideXlab platform.
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Fractal Geometry analysis of turbulent data
Signal Processing, 1995Co-Authors: Mazda A. Marvasti, Warren C. StrahleAbstract:Abstract Fractal Geometry methods have been used to analyze various turbulent flow data. Due to the chaotic nature of turbulence, Fractal Geometry offers a method of analysis which is natural to spatial and time series data. Fractal tools used here are the Fractal dimension, linear Fractal interpolation, and hidden variable Fractal interpolation. A new method for computing the Fractal dimension has been devised which can obtain the dimension of typical turbulent data by using as few as 500 data points. Two methods of performing hidden variable Fractal interpolation have been developed and shown to be very effective in estimating various statistical moments of some correlated turbulent data.
Guo Dong - One of the best experts on this subject based on the ideXlab platform.
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the application of Fractal Geometry in computer graphics
Machine Design, 2001Co-Authors: Guo DongAbstract:Taking the typical Julia set and L-system based Fractal graph as example this paper introduced a main generative method of Fractal graphs,advanced the parametrized practical design and expounded the application of Fractal Geometry to computer graphics.
Nicoletta Sala - One of the best experts on this subject based on the ideXlab platform.
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Fractal Geometry and Self-Similarity in Architecture: An Overview Across the Centuries
2003Co-Authors: Nicoletta SalaAbstract:Fractal Geometry describeS the irregular shapes and it can occur in many different places in both Mathematics and elsewhere in Nature. The aim of this paper is to present an overview which involves Fractal Geometry and the properties of self-similarity in architectural and design projects. We will refer of the building's characteristics in different cultures (e.g., Oriental and Western culture) and in different periods (e.g. in the Middle Ages until today).
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Fractal Geometry and Computer Science
Selected Readings on Telecommunications and Networking, 1Co-Authors: Nicoletta SalaAbstract:Fractal Geometry can help us to describe the shapes in nature (e.g., ferns, trees, seashells, rivers, mountains) exceeding the limits imposed by Euclidean Geometry. Fractal Geometry is quite young: The first studies are the works by the French mathematicians Pierre Fatou (1878-1929) and Gaston Julia (1893-1978) at the beginning of the 20th century. However, only with the mathematical power of computers has it become possible to realize connections between Fractal Geometry and other disciplines. It is applied in various fields now, from biology to economy. Important applications also appear in computer science because Fractal Geometry permits us to compress images, and to reproduce, in virtual reality environments, the complex patterns and irregular forms present in nature using simple iterative algorithms executed by computers. Recent studies apply this Geometry to controlling traffic in computer networks (LANs, MANs, WANs, and the Internet). The aim of this chapter is to present Fractal Geometry, its properties (e.g., self-similarity), and their applications in computer science.
