Engineering Mechanics

International Conference

Proceedings Vol. 20 (2014)


ENGINEERING MECHANICS 2014

20th INTERNATIONAL CONFERENCE
May 12 – 15, 2014, Svratka, Czech Republic
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Editors: Vladimír Fuis

Copyright © 2014 Brno University of Technology Institute of Solid Mechanics, Mechatronics and Biomechanics

ISBN 978-80-214-4871-1 (printed)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

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PREDICTION OF ESHELBY'S INCLUSION PROBLEM SOLUTION USING ARTIFICIAL NEURAL NETWORK
Zrůbek L., Kučerová A., Novák J.
pages 801 - 804, full text

In this contribution we present our new approach to obtain or better estimate mechanical fields (strain, stress and displacement) inside isotropic infinite body with ellipsoidal-like inclusions. The precise solution has been given by J. D. Eshelby (1957) to internal and external points of inclusion domains and form the basis of our work. When the Eshelby’s solution is extended to take into account perturbations due to the presence of numerous adjacent inclusions (Novák et al., 2012; Oberrecht et al., 2013) the solution given for dozens of points is very time demanding. Utilizing Artificial Neural Network (ANN) trained by exact Eshelby’s solutions to predict mechanical fields can be achieved considerable speedup at the cost of approximate solution. At this state we only focus on prediction of one component of a perturbation strain tensor for single ellipsoidal inclusion.


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