Two-scale finite element modelling of reinforced concrete structures: Effective response and subscale fracture development
Journal article, 2018

A two-scale model is derived from a fully resolved model where the response of concrete, steel reinforcement, and bond between them are considered. The pertinent “effective” large-scale problem is derived from selective homogenisation in terms of the equilibrium of reinforced concrete considered as a single-phase solid. Variational formulations of the representative volume element problem are established in terms of the subscale displacement fields for the plain concrete continuum and the reinforcement bars. Dirichlet and Neumann boundary conditions (BCs) are imposed on the concrete (pertaining to uniform boundary displacement and constant boundary traction, respectively) and on the reinforcement bars (pertaining to prescribed boundary displacement and vanishing sectional forces, respectively). Different representative volume element sizes and combinations of BCs were used in FE 2 analyses of a deep beam subjected to four-point bending. Results were compared with those of full resolution (single-scale). The most reliable response was obtained for the case of Dirichlet-Dirichlet BCs, with a good match between the models in terms of the deformed shape, force-deflection relation, and average strain. Even though the maximum crack widths were underestimated, the Dirichlet-Dirichlet combination provided an approximate upper bound on the structural stiffness.

computational homogenisation

multiscale

bond

RVE

existing reinforced concrete structures

cracking

Author

Adam Sciegaj

Chalmers, Architecture and Civil Engineering, Structural Engineering

Fredrik Larsson

Chalmers, Industrial and Materials Science, Material and Computational Mechanics

Karin Lundgren

Chalmers, Architecture and Civil Engineering, Structural Engineering

Filip Nilenius

Chalmers, Architecture and Civil Engineering, Structural Engineering

Kenneth Runesson

Chalmers, Industrial and Materials Science, Material and Computational Mechanics

International Journal for Numerical Methods in Engineering

0029-5981 (ISSN) 1097-0207 (eISSN)

Vol. 114 10 1074-1102

Multiscale modelling of reinforced concrete structures

Swedish Research Council (VR), 2015-01-01 -- 2018-12-31.

Subject Categories

Applied Mechanics

Other Civil Engineering

Areas of Advance

Building Futures

Materials Science

Infrastructure

C3SE (Chalmers Centre for Computational Science and Engineering)

DOI

10.1002/nme.5776

More information

Latest update

7/4/2018 9