On Periodic Boundary Conditions in Variationally Consistent Homogenisation of Beams and Plates

Sciegaj, A., Grassl, P. , Larsson, F., Lundgren, K. and Runesson, K. (2019) On Periodic Boundary Conditions in Variationally Consistent Homogenisation of Beams and Plates. In: 32nd Nordic Seminar on Computational Mechanics, Oulu, Finland, 24-25 Oct 2019, pp. 150-153. ISBN 9789526224206

Abstract

A computationally efficient strategy to prescribe periodic boundary conditions on three- dimensional Representative Volume Elements (RVEs) is outlined. In particular, the cases of having an Euler-Bernoulli beam and a Kirchhff-Love plate problem at the macroscale are considered within a computational homogenisation framework. Special solid elements for the boundary region of the periodic mesh have been developed, in which some of the degrees of freedom depend on those of their periodic counterparts, the macroscopic data and the size of the RVE.

• Item Type: Conference Proceedings
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Grassl, Dr Peter and Sciegaj, Adam
• Authors: Sciegaj, A., Grassl, P., Larsson, F., Lundgren, K., and Runesson, K.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• ISSN: 2342-2599
• ISBN: 9789526224206
• Copyright Holders: Copyright © 2019 University of Oulu,
• First Published: First published in Proceedings of NSCM 32 : the 32nd Nordic Seminar on Computational Mechanics 24–25 October, 2019, 150-153
• Publisher Policy: Reproduced with the permission of the publisher

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