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Numerical Implication of Concrete Material Damage at the Finite Element Levels

콘크리트 재료손상에 대한 유한요소상의 의미

  • Rhee, In-Kyu (Track & Civil Engineering Department, Korea Railroad Research Institute) ;
  • Roh, Young-Sook (Dept. of Architectural Engineering, Seoul National University of Technology) ;
  • Kim, Woo (Dept. of Civil Engineering, Chonnam National University)
  • 이인규 (한국철도기술연구원) ;
  • 노영숙 (서울산업대학교 건축공학과) ;
  • 김우 (전남대학교 토목공학과)
  • Published : 2006.02.28

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.

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 https://doi.org/10.1016/0031-9201(80)90139-9
  3. Lemaitre, J., Damage Mechanics, Springer-Verlag, New York, NY, 1987
  4. Strang, G., Linear algebra and its applications, Academic Press, New York, NY, 1976
  5. 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 https://doi.org/10.1016/0020-7683(94)90072-8
  6. 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 https://doi.org/10.1016/0022-5096(77)90022-9
  7. Wilkinson, J. H., Linear Algebra, Springer-Verlag, Berlin, 1971, pp.1-439
  8. Kraicinovic, D, 'Damage Mechanics,' Mechanics and Materials, Vol.8, 1999, pp.213-222
  9. 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 https://doi.org/10.1023/A:1011905201001
  10. Hill, R., 'A self-consistent mechanics of composite materials', J. Mech Phys. Solids, Vol.13, 1965, pp.213-222 https://doi.org/10.1016/0022-5096(65)90010-4