Effective behaviour of elastic heterogeneous thin structures at finite deformations

authored by: Stefan Löhnert, Peter Wriggers
Abstract: In this contribution the effective material behaviour of thin structures like membranes and plates consisting of heterogeneities is investigated. The diameter of typical inclusions can be in the order of magnitude of the thickness of the membrane or plate. Thus, the prerequisite for a standard homogenization procedure using representative volume elements is not fulfilled anymore, since the required size of an RVE would be larger than the thickness of the structure itself. Additionally the assumption of uniformity of the boundary conditions on the RVE would be violated especially for plates since in general the predominant deformation of such structures is bending. However, it can be shown that the effective behaviour of such heterogeneous thin structures subjected to finite deformations is still in good agreement to the results obtained for homogenized materials.
Organisation(s): Institute of Continuum Mechanics
Type: Article
Journal: Computational mechanics
Volume: 41
Pages: 595-606
No. of pages: 12
ISSN: 0178-7675
Publication date: 03.2008
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Computational Mechanics, Ocean Engineering, Mechanical Engineering, Computational Theory and Mathematics, Computational Mathematics, Applied Mathematics
Electronic version(s): https://doi.org/10.1007/s00466-007-0217-3 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{e77e971e85df417e8f165c6b0fb2e54b,
title = "Effective behaviour of elastic heterogeneous thin structures at finite deformations",
abstract = "In this contribution the effective material behaviour of thin structures like membranes and plates consisting of heterogeneities is investigated. The diameter of typical inclusions can be in the order of magnitude of the thickness of the membrane or plate. Thus, the prerequisite for a standard homogenization procedure using representative volume elements is not fulfilled anymore, since the required size of an RVE would be larger than the thickness of the structure itself. Additionally the assumption of uniformity of the boundary conditions on the RVE would be violated especially for plates since in general the predominant deformation of such structures is bending. However, it can be shown that the effective behaviour of such heterogeneous thin structures subjected to finite deformations is still in good agreement to the results obtained for homogenized materials.",
author = "Stefan L{\"o}hnert and Peter Wriggers",
year = "2008",
month = mar,
doi = "10.1007/s00466-007-0217-3",
language = "English",
volume = "41",
pages = "595--606",
journal = "Computational mechanics",
issn = "0178-7675",
publisher = "Springer Verlag",
number = "4",
}