Details
| Original language | English |
|---|---|
| Pages (from-to) | 493-506 |
| Number of pages | 14 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 43 |
| Issue number | 3 |
| Publication status | Published - 15 Oct 1998 |
Abstract
In this paper a flexible model for the description of damage in heterogeneous structural materials is presented. The approach involves solving the equations of equilibrium, with unilateral constraints on the maximum attainable values of selected internal variables. Due to the unilateral constraints, the problem is non-linear. Accordingly, a simple iterative algorithm is developed to solve this problem by (1) computing the internal fields with the initial undamaged microstructure and (2) reducing the material stiffness at locations where the constraints are violated. This process is repeated until a solution, with a corresponding microstructure, that satisfies the equations of equilibrium and the constraints, is found. The corresponding microstructure is the final 'damaged' material. As an application, the method is used in an incremental fashion to generate response curves describing the progressive macroscopic damage for a sample of commonly used fibre-reinforced Aluminum/Boron composite. The results are compared to laboratory experiments published by Kyono et al.1 and computational results using standard numerical methods, published by Brockenbrough et al.2
Keywords
- Composites, Damage, Finite elements, Unilateral constraints
ASJC Scopus subject areas
- Mathematics(all)
- Numerical Analysis
- Engineering(all)
- General Engineering
- Mathematics(all)
- Applied Mathematics
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In: International Journal for Numerical Methods in Engineering, Vol. 43, No. 3, 15.10.1998, p. 493-506.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A description of macroscopic damage through microstructural relaxation
AU - Zohdi, T.
AU - Feucht, M.
AU - Gross, D.
AU - Wriggers, Peter
PY - 1998/10/15
Y1 - 1998/10/15
N2 - In this paper a flexible model for the description of damage in heterogeneous structural materials is presented. The approach involves solving the equations of equilibrium, with unilateral constraints on the maximum attainable values of selected internal variables. Due to the unilateral constraints, the problem is non-linear. Accordingly, a simple iterative algorithm is developed to solve this problem by (1) computing the internal fields with the initial undamaged microstructure and (2) reducing the material stiffness at locations where the constraints are violated. This process is repeated until a solution, with a corresponding microstructure, that satisfies the equations of equilibrium and the constraints, is found. The corresponding microstructure is the final 'damaged' material. As an application, the method is used in an incremental fashion to generate response curves describing the progressive macroscopic damage for a sample of commonly used fibre-reinforced Aluminum/Boron composite. The results are compared to laboratory experiments published by Kyono et al.1 and computational results using standard numerical methods, published by Brockenbrough et al.2
AB - In this paper a flexible model for the description of damage in heterogeneous structural materials is presented. The approach involves solving the equations of equilibrium, with unilateral constraints on the maximum attainable values of selected internal variables. Due to the unilateral constraints, the problem is non-linear. Accordingly, a simple iterative algorithm is developed to solve this problem by (1) computing the internal fields with the initial undamaged microstructure and (2) reducing the material stiffness at locations where the constraints are violated. This process is repeated until a solution, with a corresponding microstructure, that satisfies the equations of equilibrium and the constraints, is found. The corresponding microstructure is the final 'damaged' material. As an application, the method is used in an incremental fashion to generate response curves describing the progressive macroscopic damage for a sample of commonly used fibre-reinforced Aluminum/Boron composite. The results are compared to laboratory experiments published by Kyono et al.1 and computational results using standard numerical methods, published by Brockenbrough et al.2
KW - Composites
KW - Damage
KW - Finite elements
KW - Unilateral constraints
UR - http://www.scopus.com/inward/record.url?scp=0032188035&partnerID=8YFLogxK
U2 - 10.1002/(SICI)1097-0207(19981015)43:3<493::AID-NME461>3.0.CO;2-N
DO - 10.1002/(SICI)1097-0207(19981015)43:3<493::AID-NME461>3.0.CO;2-N
M3 - Article
AN - SCOPUS:0032188035
VL - 43
SP - 493
EP - 506
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 3
ER -