On the numerical solution of structures with fractal geometry: The FE approach |
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| Authors: | O K Panagouli P D Panagiotopoulos E S Mistakidis |
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| Institution: | (1) Dept. of Civil Engineering, Aristotle University, 54006 Thessaloniki, Greece;(2) Dept. of Civil Engineering, Aristotle University, 54006 Thessaloniki, Greece;(3) Faculty of Math. and Physics, RWTH, 5100 Aachen, Germany;(4) Dept. of Civil Engineering, Aristotle University, 54006 Thessaloniki, Greece |
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| Abstract: | The scope of the present paper is to present the numerical aspects of the theory developed in 1]. The fractal geometry of structure(s) is approximated either through the IFS (iterated function system) method or through the FI (fractal interpolation) method. These approximations of the fractal through classical curves and surfaces are combined with the FEM in order to get numerical results for important technical problems, which cannot be satisfactorily treated by other methods.
Sommario Lo scopo del lavoro é quello di discutere gli aspetti numerici della teoria sviluppata in 1]. La geometria frattale della/e struttura é approssimata sia attraverso il metodo IFS (iterated function system) che il metodo FI (fractal interpolation). Queste approssimazioni frattali, attraverso curve e superfici classiche, sono combinate con il metodo degli elementi finiti, onde potere ottenere risultati numerici per importanti problemi tecnici che non potrebbero venire soddisfacentemente affrontati con altri metodi. |
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| Keywords: | Fractal structures Fractal approximation Structural mechanics |
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