Nonlinear homogenization in masonry structures

authored by: Georgios A. Drosopoulos, Maria E. Stavroulaki, Konstantinos Giannis, Leonidas Plymakis, Georgios E. Stavroulakis, Peter Wriggers
Abstract: Numerical homogenization is based on the usage of finite element analysis for the description of average properties of materials with heterogeneous microstructure. The practical steps of a computational homogenization approach and representative examples related to masonry structures and ceramic materials are presented in this article. The non-linear Representative Volume Elements (RVEs) 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. Results concerning 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-strain data are created, a metamodel based on MATLAB interpolation is used, and an overall non-linear homogenization procedure (FE²), is considered. The good comparison with direct heterogeneous macroscopic models created by commercial software shows 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: Conference contribution
Pages: 6795-6806
No. of pages: 12
Publication date: 01.07.2014
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Mechanics of Materials, Computational Theory and Mathematics, Computer Science Applications, Mechanical Engineering
: Details in the research portal "Research@Leibniz University"

BibTeX

@inproceedings{d9a185fe4cb949c7ba0efcf13211491f,
title = "Nonlinear homogenization in masonry structures",
abstract = "Numerical homogenization is based on the usage of finite element analysis for the description of average properties of materials with heterogeneous microstructure. The practical steps of a computational homogenization approach and representative examples related to masonry structures and ceramic materials are presented in this article. The non-linear Representative Volume Elements (RVEs) 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. Results concerning 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-strain data are created, a metamodel based on MATLAB interpolation is used, and an overall non-linear homogenization procedure (FE2), is considered. The good comparison with direct heterogeneous macroscopic models created by commercial software shows that the proposed method can be used for the simulation of non-linear heterogeneous structures.",
keywords = "Contact, FE, Homogenization, Interpolation, Masonry, Multi-scale",
author = "Drosopoulos, {Georgios A.} and Stavroulaki, {Maria E.} and Konstantinos Giannis and Leonidas Plymakis and Stavroulakis, {Georgios E.} and Peter Wriggers",
year = "2014",
month = jul,
day = "1",
language = "English",
series = "11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014",
publisher = "International Center for Numerical Methods in Engineering",
pages = "6795--6806",
editor = "Antonio Huerta and Eugenio Onate and Xavier Oliver",
booktitle = "11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014",
note = "Joint 11th World Congress on Computational Mechanics, WCCM 2014, the 5th European Conference on Computational Mechanics, ECCM 2014 and the 6th European Conference on Computational Fluid Dynamics, ECFD 2014 ; Conference date: 20-07-2014 Through 25-07-2014",
}