Linear multiscale analysis and finite element validation of stretching and bending dominated lattice materials

Mechanics of Materials

Volumn 46, Issue , 2012, Pages 57-68

  Vigliotti, Andrea ^a   Pasini, Damiano ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

Cellular materials; Finite element modelling; Lattice materials; Microtruss materials; Multiscale mechanics

Indexed keywords

ARBITRARY TOPOLOGY; CELLULAR MATERIAL; FINITE ELEMENT MODELLING; FINITE ELEMENT VALIDATION; GEOMETRIC PARAMETER; INTERNAL FORCES; LATTICE COMPONENTS; LATTICE ELEMENTS; LATTICE MATERIALS; LINEAR ANALYSIS; MACROSCOPIC LEVELS; MACROSCOPIC STRAINS; MICROSCOPIC LEVELS; MULTI SCALE ANALYSIS; MULTISCALE MECHANICS; MULTISCALES; OPTIMIZATION FRAMEWORK; UNIT CELLS;

OPTIMIZATION;

FINITE ELEMENT METHOD;

EID: 84855290530     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmat.2011.11.009     Document Type: Article

References (26)

1. A. Alderson, and K.L. Alderson Auxetic materials Proceedings of the Institution of Mechanical Engineers Part G - Journal of Aerospace Engineering 221 G4 2007 565 575 (Pubitemid 47501380)
2. R.J. Asaro, and V.A. Lubarda Mechanics of Solids and Materials 2006 Cambridge University Press Cambridge
3. M.F. Ashby Materials Selection in Mechanical Design third ed. 2005 Elsevier
4. M.S.A. Elsayed, and D. Pasini Analysis of the elastostatic specific stiffness of 2d stretching-dominated lattice materials Mechanics of Materials 42 7 2010 709 725
5. M.S.A. Elsayed, and D. Pasini Multiscale structural design of columns made of regular octet-truss lattice material International Journal of Solids and Structures 47 14-15 2010 1764 1774
6. Gibson, L.J.; Ashby, M.F.; 1988. Cellular Solids: Structure and Properties.
7. L.J. Gibson, M.F. Ashby, G.S. Schajer, and C.I. Robertson The mechanics of two-dimensional cellular materials Proceedings of the Royal Society of London Series a-Mathematical Physical and Engineering Sciences 382 1782 1982 25 42
8. S. Gonella, and M. Ruzzene Homogenization and equivalent in-plane properties of two-dimensional periodic lattices International Journal of Solids and Structures 45 10 2008 2897 2915
9. S. Gonella, and M. Ruzzene Multicell homogenization of one-dimensional periodic structures Journal of Vibration and Acoustics, Transactions of the ASME 132 1 2010 0110031 01100311
10. R.G. Hutchinson, and N.A. Fleck The structural performance of the periodic truss Journal of the Mechanics and Physics of Solids 54 4 2006 756 782 (Pubitemid 43121437)
11. V. Kouznetsova, M.G.D. Geers, and W.A.M. Brekelmans Multi-scale constitutive modelling of heterogeneous materials with a gradient-enhanced computational homogenization scheme International Journal for Numerical Methods in Engineering 54 8 2002 1235 1260 (Pubitemid 34724730)
12. R.S. Kumar, and D.L. McDowell Generalized continuum modeling of 2-D periodic cellular solids International Journal of Solids and Structures 41 26 2004 7399 7422
13. R. Lakes Foam structures with a negative poisson's ratio Science 235 4792 1987 1038 1040
14. L.E. Murr, S.M. Gaytan, F. Medina, H. Lopez, E. Marinez, B.I. Machado, D.H. Hernandez, L. Martinez, M.I. Lopez, R. Wicker, and J. Bracke Next-generation biomedical implants using additive manufacturing of complex cellular and functional mesh arrays Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 368 1917 2010 1999 2032
15. A.K. Noor Continuum modeling for repetitive lattice structures Applied Mechanics Reviews 41 7 1988 285 296
16. A.S. Phani, and N.A. Fleck Elastic boundary layers in two-dimensional isotropic lattices Journal of Applied Mechanics - Transactions of the ASME 75 2 2008
17. W.S. Slaughter The Linearized Theory of Elasticity 2002 Birkh user Boston, Mass. [u.a.]
18. Spadoni, A.; Ruzzene, M.; 2007. Static aeroelastic response of chiral-core airfoils. Journal of Intelligent Material Systems and Structures 18 (10), 1067-1075. (Pubitemid 47438504)
19. J. Stampfl, H. Fouad, S. Seidler, R. Liska, F. Schwager, A. Woesz, and P. Fratzl Fabrication and moulding of cellular materials by rapid prototyping International Journal of Materials & Product Technology 21 4 2004 285 296
20. G. Strang Linear algebra and its applications third ed. 1988 Brooks/Cole, Thomson Learning, Harcourt Brace Jovanovich
21. Vigliotti, A.; Pasini, D.; 2011. Structural optimization of lattice materials. Accepted at the ASME 2011 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, IDETC/CIE 2011, August 28-31, 2011, Washington, DC, USA.
22. A.J. Wang, R.S. Kumar, and D.L. McDowell Mechanical behavior of extruded prismatic cellular metals Mechanics of Advanced Materials and Structures 12 3 2005 185 200 (Pubitemid 41673165)
23. A.J. Wang, and D.L. McDowell In-plane stiffness and yield strength of periodic metal honeycombs Journal of Engineering Materials and Technology-Transactions of the Asme 126 2 2004 137 156 (Pubitemid 40122747)
24. S.F. Yang, K.F. Leong, Z.H. Du, and C.K. Chua The design of scaffolds for use in tissue engineering. Part II. Rapid prototyping techniques Tissue Engineering 8 1 2002 1 11
25. H.X. Zhu, J.F. Knott, and N.J. Mills Analysis of the elastic properties of open-cell foams with tetrakaidecahedral cells Journal of the Mechanics and Physics of Solids 45 3 1997 319
26. O. Zienkiewicz, and R.L. Taylor The Finite Element Method for Solid and Structural Mechanics sixth ed. 2005 Elsevier