A model for simulating the deterioration of structural-scale material responses of microheterogeneous solids

authored by: T. I. Zohdi, P. Wriggers
Abstract: In this paper, we develop a model to characterize the deterioration of mechanical responses of microheterogeneous solids due to progressive microstructural failure with increased loading. In the approach, the effects of microscopic failure, so-called "relaxation", are described by a variational boundary value problem with constraints on the microfields. The extent of the relaxation, which is induced by reducing the eigenvalues of the elasticity tensor at a point in the heterogeneous body, is dictated by the condition that the solution must satisfy the equations of equilibrium, and simultaneously the constraints at that point. Theoretical properties of the model are determined and a computational algorithm is developed to simulate the deterioration of the material microstructure. Numerical simulations involving the finite element method are given to illustrate various aspects of the model.
Organisation(s): Institute of Mechanics and Computational Mechanics
Type: Article
Journal: Computer Methods in Applied Mechanics and Engineering
Volume: 190
Pages: 2803-2823
No. of pages: 21
ISSN: 0045-7825
Publication date: 16.02.2001
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Computational Mechanics, Mechanics of Materials, Mechanical Engineering, General Physics and Astronomy, Computer Science Applications
Electronic version(s): https://doi.org/10.1016/S0045-7825(00)00367-4 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{4c7a2fe169194dc08b7949f3156001c8,
title = "A model for simulating the deterioration of structural-scale material responses of microheterogeneous solids",
abstract = "In this paper, we develop a model to characterize the deterioration of mechanical responses of microheterogeneous solids due to progressive microstructural failure with increased loading. In the approach, the effects of microscopic failure, so-called {"}relaxation{"}, are described by a variational boundary value problem with constraints on the microfields. The extent of the relaxation, which is induced by reducing the eigenvalues of the elasticity tensor at a point in the heterogeneous body, is dictated by the condition that the solution must satisfy the equations of equilibrium, and simultaneously the constraints at that point. Theoretical properties of the model are determined and a computational algorithm is developed to simulate the deterioration of the material microstructure. Numerical simulations involving the finite element method are given to illustrate various aspects of the model.",
keywords = "Heterogeneous materials, Microstructural deterioration",
author = "Zohdi, {T. I.} and P. Wriggers",
year = "2001",
month = feb,
day = "16",
doi = "10.1016/S0045-7825(00)00367-4",
language = "English",
volume = "190",
pages = "2803--2823",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier",
number = "22-23",
}