Abstract
Open-cell Kelvin foam is considered as a spatial lattice consisting of brittle elastic struts rigidly connected to each other at the nodal points. The lattice is subjected to remote uniaxial tensile loading, an initial imperfection is introduced and sequential break of the struts is observed. Different loading directions and material densities are examined and it is found that the broken struts form a plane flaw, which may be either a bridged or a usual crack. The possible crack propagation planes to be used in the fracture toughness analysis are determined.
Similar content being viewed by others
References
Gibson, L.J., Ashby, M.F.(1997). Cellular solids. Structure and properties. Cambridge University Press.
Gong L., Kyriakides S. (2005) Compressive response of open cell foams. Part II: Initiation and evolution of crushing. International Journal of Solids and Structures 42: 1381–1399
Laroussi M., Sab K., Alaoui A. (2002) Foam mechanics:nonlinear response of an elastic 3D-periodic microstructure. International Journal of Solids and Structures 39: 3599–3623
Lipperman F., Ryvkin M., Fuchs M.B. (2007) Nucleation of cracks in two-dimensional periodic cellular materials. Comput. Mech. 39: 127–139
Nuller, B. and Ryvkin, M. (1980) On boundary-value problems for elastic domains of a periodical structure deformed by arbitrary loads, Izvestia VNIIG, Sbornik nauchnych trudov, 136, 49-55 (in Russian).
Ryvkin M, Aboudi J. (2008) Three-dimensional continuum analysis for a unidirectional composite with a broken fiber. International Journal of Solids and Structures 45: 4114–4429
Ryvkin M., Fuchs M.B., Nuller B. (1999) Optimal design of infinite repetitive structures. Structural Optimization 18: 202–209
Ryvkin M., Fuchs M., Lipperman F., Kucherov L. (2004) Fracture analysis of materials with periodic microstructure by the representative cell method”. International Journal of Fracture 128: 215–221
Thiyagasundaram P., Wang J., Sankar B.V., Arakere N. (2011) Fracture toughness of foams with tetrakaidecahedral unit cells using finite element based micromechanics. Engineering Fracture Mechanics 78: 1277–1288
Thompson W. (1887) On the division of space with minimum partitional area. Philosophical Magazine 24: 503–900
Warren W.E., Kraynik A.M. (1997) Linear elastic behavior of a low-density Kelvin foam with open cells. J. Appl. Mech 64: 787–794
Zhu H. X., Knott J. F., Mills N. J. (1997) Analysis of the elastic properties of open-cell foams with tetrakaidecahedral cells. Journal of the Mechanics and Physics of Solids 45: 319–343
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kucherov, L., Ryvkin, M. Flaw Nucleation In A Brittle Open-Cell Kelvin Foam. Int J Fract 175, 79–86 (2012). https://doi.org/10.1007/s10704-012-9702-6
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10704-012-9702-6