Role of cell regularity and relative density on elasto-plastic compression response of random honeycombs generated using Voronoi diagrams

International Journal of Solids and Structures

Volumn 51, Issue 21-22, 2014, Pages 3776-3786

  Sotomayor, Oscar E ^a   Tippur, Hareesh V ^a  

^a AUBURN UNIVERSITY   (United States)

Author keywords

Cell regularity; Cellular solids; Compression; Elasto plastic analysis; Finite elements; Virtual design; Voronoi diagrams

Indexed keywords

CELLS; COMPACTION; COMPUTATIONAL GEOMETRY; ELASTOPLASTICITY; FINITE ELEMENT METHOD; GRAPHIC METHODS; HONEYCOMB STRUCTURES; RANDOM PROCESSES;

CELLULAR SOLIDS; ELASTIC AND PLASTIC CHARACTERISTICS; ELASTO-PLASTIC ANALYSIS; MECHANICAL BEHAVIOR; MORPHOLOGICAL CHARACTERISTIC; VIRTUAL DESIGN; VORONOI DIAGRAMS; VORONOI TESSELLATION TECHNIQUE;

CYTOLOGY;

EID: 84906946176     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2014.07.009     Document Type: Article

References (33)

1. M. Alkhader, and M. Vural Mechanical response of cellular solids: role of cellular topology and microstructural irregularity Int. J. Eng. Sci. 46 2008 1035 1051
2. Aluminum Association, I.; 2001. < http://www.matweb.com/search/ datasheet.aspx?matguid=4303c5b908ff4cbd91a02fed7d4e8202&ckck=1 >.
3. C.B. Barber, D.P. Dobkin, and H.T. Huhdanpaa The Quickhull algorithm for convex hulls ACM Trans. Math. Software 22 1996 469 483
4. B.N. Boots The arrangement of cells in "random" networks Metallography 15 1982 53 62
5. É. Borel Mécanique statistique et irré versibilité J. Phys. 3 1913 189 196
6. G. Cricri, M. Perrella, and C. Cali Honeycomb failure processes under in-plane loading Compos. B Eng. 45 2013 1079 1090
7. A. Da Silva, and S. Kyriakides Compressive response and failure of balsa wood Int. J. Solids Struct. 44 2007 8685 8717
8. S. Gaitanaros, S. Kyriakides, and A.M. Kraynik On the crushing response of random open-cell foams Int. J. Solids Struct. 49 2012 2733 2743
9. Y.X. Gan, C. Chen, and Y.P. Shen Three-dimensional modeling of the mechanical property of linearly elastic open cell foams Int. J. Solids Struct. 42 2005 6628 6642
10. Gibson, L.J.; Ashby, M.F.; 1997. Cellular solids: structures & properties. In: Series C.S.S.A, second ed.; Cambridge University Press, New York.
11. L.J. Gibson, M.F. Ashby, and B.A. Harley Cellular Material in Nature and Medicine 2010 Cambridge University Press New York
12. L. Gong, and S. Kyriakides Compressive response of open cell foams Part II: initiation and evolution of crushing Int. J. Solids Struct. 42 2005 1381 1399
13. L. Gong, S. Kyriakides, and W.Y. Jang Compressive response of open-cell foams. Part I: morphology and elastic properties Int. J. Solids Struct. 42 2005 1355 1379
14. X.E. Guo, and L.J. Gibson Behavior of intact and damaged honeycombs: a finite element study Int. J. Mech. Sci. 41 1999 85 105
15. Hibbitt, K.S. Inc, 2002. ABAQUSTM User's Manual (version 6.3).
16. W.-Y. Jang, and S. Kyriakides On the crushing of aluminum open-cell foams: Part I. Experiments Int. J. Solids Struct. 46 2009 617 634
17. W.-Y. Jang, A.M. Kraynik, and S. Kyriakides On the microstructure of open-cell foams and its effect on elastic properties Int. J. Solids Struct. 45 2008 1845 1875
18. Jhaver, R.; 2009. Thesis-compression response and modeling of interpenetrating phase composites and foam-filled honeycombs. Mechanical Engineering. Auburn, Auburn.
19. R. Klein Concrete and Abstract Voronoi Diagrams 1989 Springer-Verlag
20. C. Liu, Z. Xia, and J.T. Czernuszka Design and development of three-dimensional scaffolds for tissue engineering Chem. Eng. Res. Des. 85 2007 1051 1064
21. Y.D. Liu, J.L. Yu, Z.J. Zheng, and J.R. Li A numerical study on the rate sensitivity of cellular metals Int. J. Solids Struct. 46 2009 3988 3998
22. W.L. Martinez, and A.R. Martinez Computational Statistics Handbook with MATLAB 2002 Chapman & Hall/CRC
23. J. Moller Lectures on Random Voronoi Tessellations 1994 Springer-Verlag
24. A. Okabe, B. Boots, K. Sugihara, and S.N. Chiu Spatial Tessellations: Concepts and Applications of Voronoi Diagrams second ed 1945 John Wiley & Sons Ltd
25. S.D. Papka, and S. Kyriakides In-plane compressive response and crushing of honeycomb J. Mech. Phys. Solids 42 1994 1499 1532
26. S.D. Papka, and S. Kyriakides Experiments and full-scale numerical simulations of in-plane crushing of a honeycomb Acta Mater. 46 1998 2765 2776
27. A.P. Roberts, and E.J. Garboczi Elastic properties of model random three-dimensional open-cell solids J. Mech. Phys. Solids 50 2002 33 55
28. M.J. Silva, and L.J. Gibson Effects of non-periodic microstructure and defects on the compressive strength of two-dimensional cellular solids Int. J. Mech. Sci. 39 1997 549 563
29. M.J. Silva, W.C. Hayes, and L.J. Gibson The effects of non-periodic microstructure on the elastic properties of two-dimensional cellular solids Int. J. Mech. Sci. 37 1995 1161 1177
30. C. Tekoglu, L.J. Gibson, T. Pardoen, and P.R. Onck Size effects in foams: experiments and modeling Prog. Mater Sci. 56 2011 109 138
31. H.X. Zhu, J.R. Hobdell, and A.H. Windle Effects of cell irregularity on the elastic properties of open-cell foams Acta Mater. 48 2000 4893 4900
32. H.X. Zhu, J.R. Hobdell, and A.H. Windle Effects of cell irregularity on the elastic properties of 2D Voronoi honeycombs J. Mech. Phys. Solids 49 2001 857 870
33. H.X. Zhu, S.M. Thorpe, and A.H. Windle The effect of cell irregularity on the high strain compression of 2D Voronoi honeycombs Int. J. Solids Struct. 43 2006 1061 1078