Some aspects of modeling and computation of micromechanical deterioration

authored by: Tarek I. Zohdi, Peter Wriggers
Abstract: In this paper we develop a model to characterize the deterioration of the nominal macroscopic mechanical response of solid materials containing microheterogeneities due to progressive microstructural failure with increased loading. In the approach, the effects of local microscopic failure are described by a variational boundary value problem with constraints on the microfields. In order to satisfy the constraints, the eigenvalues of the elasticity tensor at points throughout the heterogeneous body are reduced. Theoretical properties of the model are determined and a computational algorithm is developed to evaluate the deterioration of the microstructure. Numerical simulations, involving the finite element method to compute the degrading response of particulate reinforced materials are presented to illustrate various aspects of the model.
Organisation(s): Institute of Mechanics and Computational Mechanics
Type: Conference contribution
Publication date: 01.12.2000
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Artificial Intelligence, Applied Mathematics
: Details in the research portal "Research@Leibniz University"

BibTeX

@inproceedings{13e1924c86fb4298a5b321bd2497224e,
title = "Some aspects of modeling and computation of micromechanical deterioration",
abstract = "In this paper we develop a model to characterize the deterioration of the nominal macroscopic mechanical response of solid materials containing microheterogeneities due to progressive microstructural failure with increased loading. In the approach, the effects of local microscopic failure are described by a variational boundary value problem with constraints on the microfields. In order to satisfy the constraints, the eigenvalues of the elasticity tensor at points throughout the heterogeneous body are reduced. Theoretical properties of the model are determined and a computational algorithm is developed to evaluate the deterioration of the microstructure. Numerical simulations, involving the finite element method to compute the degrading response of particulate reinforced materials are presented to illustrate various aspects of the model.",
keywords = "Heterogeneous materials, Microstructural deterioration",
author = "Zohdi, {Tarek I.} and Peter Wriggers",
year = "2000",
month = dec,
day = "1",
language = "English",
isbn = "8489925704",
series = "European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000",
booktitle = "European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000",
note = "European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000 ; Conference date: 11-09-2000 Through 14-09-2000",
}