Upscaling of three-dimensional reinforced concrete representative volume elements to effective beam and plate models

Sciegaj, A., Grassl, P. , Larsson, F., Runesson, K. and Lundgren, K. (2020) Upscaling of three-dimensional reinforced concrete representative volume elements to effective beam and plate models. International Journal of Solids and Structures, 202, pp. 835-853. (doi: 10.1016/j.ijsolstr.2020.07.006)

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Abstract

Two-scale models for reinforced concrete, where the large-scale problems are defined in terms of Euler-Bernoulli beam and Kirchhoff-Love plate models, are constructed. The subscale problem on the Representative Volume Element (RVE) is correspondingly outlined as finding the response of the three-dimensional RVE comprising plain concrete continuum, reinforcement bars and the bond between them. The boundary region of the periodic mesh is modelled with special solid elements, which allow for prescribing the macroscopic input via strongly periodic boundary conditions in an effective way. The effective response of the reinforced concrete RVEs of different sizes subjected to tension and pure bending is investigated for both effective beam and plate models. A series of experiments on reinforced concrete panels subjected to bending and membrane loads is simulated, and the effective moment–curvature response is studied. Within the developed framework, an arbitrary macroscopic loading in terms of membrane strains and curvatures can be prescribed on the RVE, and the corresponding effective response is obtained, making the proposed formulation feasible for future use in an FE2 scheme.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Grassl, Dr Peter and Sciegaj, Adam
Authors: Sciegaj, A., Grassl, P., Larsson, F., Runesson, K., and Lundgren, K.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:International Journal of Solids and Structures
Publisher:Elsevier
ISSN:0020-7683
ISSN (Online):1879-2146
Published Online:16 July 2020
Copyright Holders:Copyright © 2020 The Authors
First Published:First published in International Journal of Solids and Structures 202: 835-853
Publisher Policy:Reproduced under a Creative Commons License

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