On periodic boundary conditions in Variationally Consistent Homogenisation of beams and plates
Paper in proceeding, 2019

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

periodicity

plate

beam

computational homogenisation

multiscale

Author

Adam Sciegaj

Chalmers, Architecture and Civil Engineering, Structural Engineering

Peter Grassl

University of Glasgow

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

Proceedings of the 32nd Nordic Seminar on Computational Mechanics

32nd Nordic Seminar on Computational Mechanics
Oulo, Finland,

Multiscale modelling of reinforced concrete structures

Swedish Research Council (VR) (2014-5168), 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)

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5/2/2022 1