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Computational Mechanics
Erschienen in: Computational Mechanics 3/2020

07.11.2019 | Original Paper

Homogenization assumptions for coupled multiscale analysis of structural elements: beam kinematics

verfasst von: Simon Klarmann, Friedrich Gruttmann, Sven Klinkel

Erschienen in: Computational Mechanics | Ausgabe 3/2020

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Abstract

This contribution proposes a multiscale scheme for structural elements considering beam kinematics. The scheme is based on a first-order homogenization approach fulfilling the Hill–Mandel condition. Within this paper, special focus is given to the transverse shear stiffness. Using basic boundary conditions, the transverse shear stiffness drastically depends on the size of the representative volume element (RVE). The reason for this size dependency is identified. As a consequence, additional internal constraints are proposed. With these new constraints, the homogenization scheme leads to cross-sectional values independent of the size of the RVE. As they are based on the beam assumptions, a homogeneous material distribution in the length direction yields optimal results. Furthermore, outcomes of the scheme are verified with simple linear elastic benchmark tests as well as nonlinear computations involving plasticity and cross-sectional deformations.
Vorheriger Artikel The dynamic analysis of stochastic thin-walled structures under thermal–structural–acoustic coupling
Nächster Artikel Solving primal plasticity increment problems in the time of a single predictor–corrector iteration

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Metadaten
Titel
Homogenization assumptions for coupled multiscale analysis of structural elements: beam kinematics
verfasst von
Simon Klarmann
Friedrich Gruttmann
Sven Klinkel
Publikationsdatum
07.11.2019
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 3/2020
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-019-01787-z

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