Engineering Mechanics

International Conference

Proceedings Vol. 18 (2012)


ENGINEERING MECHANICS 2012

18th INTERNATIONAL CONFERENCE
May 14 – 17, 2012, Svratka, Czech Republic
;
Editors: Jiří Náprstek and Cyril Fischer

Copyright © 2012 Institute of Theoretical and Applied Mechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

ISBN 978-80-86246-39-0 (printed, Extended Abstracts)
ISBN 978-80-86246-40-6 (electronic)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

list of papers scientific commitee

Computationally efficient algorithms for evaluation of statistical descriptors
J. Havelka, A. Kučerová, J. Sýkora
pages 377 - 381, full text

Homogenization methods are becoming the most popular approach to modelling of heterogeneous materials. The main principle is to represent the heterogeneous microstructure with an equivalent homogeneous material. When dealing with the complex random microstructures, the unit cell representing exactly periodic morphology needs to be replaced by a statistically equivalent periodic unit cell (SEPUC) preserving the important material properties in the statistical manner. One of the statistical descriptors suitable for SEPUC definition is the lineal path function. It is a low-order descriptor based on a more complex fundamental function able to capture certain information about the phase connectedness. Its main disadvantage is the computational cost. In this contribution, we present the reformulation of the sequential C code for evaluation of the lineal path function into the parallel C code with Compute Unified Device Architecture (CUDA) extensions enabling the usage of computational potential of the NVIDIA graphics processing unit (GPU).


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