Computational Homogenization in Masonry Structures

authored by: G. A. Drosopoulos, M. E. Stavroulaki, K. Giannis, L. Plymakis, G. E. Stavroulakis, P. Wriggers
Abstract: Non-linear homogenization techniques based on the use of the finite element method are tested, in this paper, for the study of heterogeneous materials. The practical steps of a computational homogenization approach and representative examples related to masonry structures and ceramic materials are presented. The non-linear representative volume elements (RVE) of a masonry structure, including parts with elastoplastic material behaviour (mortar), and a ceramic material with a unilateral contact interface (crack), are created and solved. Parametric analysis has been chosen and used for the description of the strain loading. The average stress and strain in the RVE domain are then calculated. In addition, the stiffness is estimated for each loading level. Finally, two databases for the stiffness and the stress are created, a metamodel based on MATLAB interpolation is used, and an overall non-linear homogenization procedure, is considered. The satisfactory results obtained from the comparison between direct heterogeneous macroscopic models created by commercial software show that the proposed method can be used for the simulation of non-linear heterogeneous structures.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Technical University of Crete
Type: Article
Journal: Civil-Comp Proceedings
Volume: 106
ISSN: 1759-3433
Publication date: 01.01.2014
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Environmental Engineering, Civil and Structural Engineering, Computational Theory and Mathematics, Artificial Intelligence
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{4b4eca00f0ac40ab8684513d694ee351,
title = "Computational Homogenization in Masonry Structures",
abstract = "Non-linear homogenization techniques based on the use of the finite element method are tested, in this paper, for the study of heterogeneous materials. The practical steps of a computational homogenization approach and representative examples related to masonry structures and ceramic materials are presented. The non-linear representative volume elements (RVE) of a masonry structure, including parts with elastoplastic material behaviour (mortar), and a ceramic material with a unilateral contact interface (crack), are created and solved. Parametric analysis has been chosen and used for the description of the strain loading. The average stress and strain in the RVE domain are then calculated. In addition, the stiffness is estimated for each loading level. Finally, two databases for the stiffness and the stress are created, a metamodel based on MATLAB interpolation is used, and an overall non-linear homogenization procedure, is considered. The satisfactory results obtained from the comparison between direct heterogeneous macroscopic models created by commercial software show that the proposed method can be used for the simulation of non-linear heterogeneous structures.",
keywords = "Masonry structures, Non-linear homogenization, Structural analysis",
author = "Drosopoulos, {G. A.} and Stavroulaki, {M. E.} and K. Giannis and L. Plymakis and Stavroulakis, {G. E.} and P. Wriggers",
year = "2014",
month = jan,
day = "1",
language = "English",
volume = "106",
journal = "Civil-Comp Proceedings",
issn = "1759-3433",
publisher = "Civil-Comp Press",
}