Numerical Implication of Concrete Material Damage at the Finite Element Levels

- Journal title : Journal of the Korea Concrete Institute
- Volume 18, Issue 1, 2006, pp.37-46
- Publisher : Korea Concrete Institute
- DOI : 10.4334/JKCI.2006.18.1.037

Title & Authors

Numerical Implication of Concrete Material Damage at the Finite Element Levels

Rhee, In-Kyu; Roh, Young-Sook; Kim, Woo;

Rhee, In-Kyu; Roh, Young-Sook; Kim, Woo;

Abstract

The principal objective of this study is to assess the hierarchical effects of defects on the elastic stiffness properties at different levels of observation. In particular, quantitative damage measures which characterize the fundamental mode of degradation in the form of elastic damage provide quite insightful meanings at the level of constitutive relations and at the level of structures. For illustration, a total of three model problems of increasing complexity, a 1-D bar structure, a 2-D stress concentration problem, and a heterogeneous composite material made of a matrix with particle inclusions. Considering a damage scenario for the particle inclusions the material system degrades from a composite with very stiff inclusions to a porous material with an intact matrix skeleton. In other damage scenario for the matrix, the material system degrades from a composite made of a very stiff skeleton to a disconnected assembly of particles because of progressive matrix erosion. The trace-back and forth of tight bounds in terms of the reduction of the lowest eigenvalues are extensively discussed at different levels of observation.

Keywords

heterogeneity;finite element;spectral properties;elasticity;mesoscale;

Language

Korean

References

1.

Hashin, Z. and Shtrikman, S., 'Variational approach to the theory of the elastic behavior of multiphase material', J. Mech Phys. Solids, Vol. 11 , 1962, pp.127-140

2.

Hashin, Z.. 'Analysis of composite materials-a survey', J. of the Earth and Planetary Interiors, Vol.21, 1980, pp.359-370

3.

Hill, R., 'A self-consistent mechanics of composite materials', J. Mech Phys. Solids, Vol.13, 1965, pp.213-222

4.

Kraicinovic, D, 'Damage Mechanics,' Mechanics and Materials, Vol.8, 1999, pp.213-222

5.

Lemaitre, J., Damage Mechanics, Springer-Verlag, New York, NY, 1987

6.

Willam, K., Rhee, I., and Beylkin, G., 'Multi-resolution analysis of elastic degradation in heterogeneous materials', Meccanica, Vol.36, No.1, 2001, pp.131-150

7.

Strang, G., Linear algebra and its applications, Academic Press, New York, NY, 1976

8.

Watt, J. P. and O'Connell, R. J., 'An experimental investigation of the Hashin-Shtrikman bounds on the two phase aggregate elastic properties', Int. J. Solids Struct., Vol.31, No.20, 1994, pp.2835-2865

9.

Willis, J. R., 'Bounds and self-consistent estimates for the overall properties of anisotropic composites', J. Mech Phys. Solids, Vol.25, 1977, pp.185-202

10.

Wilkinson, J. H., Linear Algebra, Springer-Verlag, Berlin, 1971, pp.1-439