Isogeometric Analysis as a New FEM Formulation - Simple Problems of Steady State Thermal Analysis

Kacprzyk, Zbigniew and Ostapska-Łuczkowska, Katarzyna (2014) Isogeometric Analysis as a New FEM Formulation - Simple Problems of Steady State Thermal Analysis. In: XXIII R-S-P Seminar, Theoretical Foundation of Civil Engineering (23RSP) (TFoCE 2014), 25-29 August 2014, Wrocław.

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Official URL: http://dx.doi.org/10.1016/j.proeng.2014.12.018

Abstract

The subject of this article concerns Isogeometric Analysis as a new formulation within Finite Element Method. Motivation for this new approach was presented together with theoretical foundations of the method. The main subject of the paper is numerical implementation of the method in the Matlab environment. Special focus was put on the new concept of element and new geometry data interpretation in terms of analysis. Object oriented programming was utilized to produce more universal tool for future investigations. Several examples for Poisson’s partial differential equation solution were presented. The H-refinement was utilized to show method convergence. Steady state thermal analysis was performed with temperatures and heat flux as boundary conditions. Quick geometry data transfer and mesh refinement from Rhino software with Grasshopper plug-in was also prepared and described in the paper. Finally, authors’ conclusions concerning new method were presented and comparison between FEM and IGA was made on the basis of the studied examples.

Item Type:Conference or Workshop Item(Paper)
Additional Information:Procedia Engineering, Volume 91, 2014, Pages 87–92
Keywords:isogeometric, FEM, CAD
Subjects:T Technology > TA Engineering (General). Civil engineering (General)
Divisions:Faculty of Civil Engineering > Department of Structural Mechanics and Computer Aided Engineering
Depositing User: admin Repository Editor
Date Deposited:12 Oct 2014 14:20
Last Modified:08 Feb 2016 11:30
URI:http://rep.zoi.il.pw.edu.pl/id/eprint/71

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