On the micro-to-macro transition of reinforcement slip in two-scale modelling
Conference contribution, 2019

A two-scale model for reinforced concrete, in which the macroscopic problem formulation is enriched by an effective reinforcement slip variable is considered. The corresponding subscale problem on the Representative Volume Element (RVE) is defined in terms of finding the response of the RVE subjected to effective variables (strain, slip, slip gradient) imposed from the macroscale. In this contribution, the two possible approaches of prescribing the effective reinforcement slip are discussed. Namely, a boundary definition of the macroscopic slip can be employed and the variable is thus prescribed only at boundary of the RVE, which corresponds to Dirichlet boundary conditions. Alternatively, a volumetric averaging measure can be used to define the effective reinforcement slip. In this case, the effective variables are imposed on the RVE in a weak sense via Lagrange multipliers. It is shown that the weak enforcement of reinforcement slip and its gradient resulted in objective interpretation of the effective variable (and its work conjugates), which was not pathologically dependent on the size of the RVE.

multiscale

bond

lagrange multipliers

computational homogenisation

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

Kenneth Runesson

Chalmers, Industrial and Materials Science, Material and Computational Mechanics

10th International Conference on Fracture Mechanics of Concrete and Concrete Structures
Bayonne, France,

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 (2010-2018)

Materials Science

Infrastructure

C3SE (Chalmers Centre for Computational Science and Engineering)

DOI

10.21012/FC10.235337

More information

Latest update

7/31/2019