Details
| Original language | English |
|---|---|
| Pages (from-to) | 2803-2823 |
| Number of pages | 21 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 190 |
| Issue number | 22-23 |
| Publication status | Published - 16 Feb 2001 |
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
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- General Physics and Astronomy
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 190, No. 22-23, 16.02.2001, p. 2803-2823.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A model for simulating the deterioration of structural-scale material responses of microheterogeneous solids
AU - Zohdi, T. I.
AU - Wriggers, P.
PY - 2001/2/16
Y1 - 2001/2/16
N2 - 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.
AB - 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.
KW - Heterogeneous materials
KW - Microstructural deterioration
UR - http://www.scopus.com/inward/record.url?scp=0035895486&partnerID=8YFLogxK
U2 - 10.1016/S0045-7825(00)00367-4
DO - 10.1016/S0045-7825(00)00367-4
M3 - Article
AN - SCOPUS:0035895486
VL - 190
SP - 2803
EP - 2823
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
IS - 22-23
ER -