Nonlinear elastic constitutive relations of auxetic honeycombs

ASME International Mechanical Engineering Congress and Exposition, Proceedings

Volumn 11, Issue , 2010, Pages 275-282

  Ju, Jaehyung ^a   Summers, Joshua D ^a   Ziegert, John ^a   Fadel, Georges ^a  

^a Clemson University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; HONEYCOMB STRUCTURES; STRAIN ENERGY;

AUXETICS; BASE MATERIAL; CELL WALLS; CELLULAR MATERIAL; CELLULARS; CONSTITUTIVE RELATIONS; EFFECTIVE STRAIN; IN-PLANE SHEAR; NEGATIVE POISSON RATIO; NONLINEAR ELASTICS;

FLEXIBLE STRUCTURES;

EID: 78049403514     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/IMECE2009-12654     Document Type: Conference Paper

References (28)

1. Kumar, R. S., McDowell, D. L., 2009. Multifunctional design of two-dimensional cellular materials with tailored mesostructure. International Journal of Solids and Structures, 46, pp.2871-2885.
2. Spadoni, A and Ruzzene, M, 2007, Static Aeroelastic Response of Chiral-core Airfoils, Journal of Intelligent Material System and Structures, 18:1067-1075.
3. Patel, M.R. and Finnie, I., 1970, "Structural Features and Mechanical Properties of Rigid Cellular Plastics", Journal of Materials, 5, pp.909-932.
4. Abd El-Sayed, F. K., Jones, R., and Burgess, I.W., 1979, A Theoretical Approach to the Deformation of Honeycomb Based Composite Materials, Composites, 10(4), pp.2090-214.
5. Gibson, L.J., Ashby, M.F.. Schiajer, G.S. and Robertson, C.I., 1982, The Mechanics of Two Dimensional Cellular materials. Proceedings of the Royal Society of London A, A382, pp.25-42.
6. Gibson, L. J. and Ashby, M.F., 1988, Cellular Solids: Structures and Properties, Pergamon, Oxford, England, U.K.
7. Masters, I. G. and Evans, K. E., 1996, "Models for the Elastic Deformation of Honeycombs", Compos Structures, 35, pp. 403-422.
8. Papka, S. and Kyriakides, S. 1998, "In-Plane Crushing of a Polycarbonate Honeycomb", International Journal of Solids and Structures, 35, pp.239-267.
9. Li, K., Gao, X.-L. and Wang, J. 2007. Dynamic crushing behavior of honeycomb structures with irregular cell shapes and non-uniform cell wall thickness. International Journal of Solids and Structures, 44: 5003-5026.
10. Park, S. K. and Gao, X.-L., 2008. Micromechanical modeling of honeycomb structures based on a modified couple stress theory. Mechanics of Advanced Materials and Structures, 15, pp.574-593.
11. Gonella, S. and Ruzzene, M, 2008, "Homogenization and Equivalent In-Plane Properties of Two Dimensional Periodic Lattices, International Journal of Solid and Structures, 45, pp.2897-2915.
12. Ju, J., Summers, J. D., Ziegert, J., and Fadel, G. 2009, Design of Honeycomb Meta-materials for High Shear Flexure, In Proceedings of the ASME International Design Engineering Technical Conferences, DETC2009-87730, San Diego, CA.
13. Bczazi, A., Scarpa, F., and Remillat, C, 2005, "A Novel Centresymmetric Honeycomb Composite Structure", Composite Structures, 71, pp.536-364.
14. S. Scarpa, S. Blain, T. Lew, D. Perrott, M. Ruzzene, J.R. Yates, Elastic Buckling of Hexagonal Chiral Cell Honeycombs, Composites Part A, 2007, 38:280-289.
15. Horrigan, E. J., Smith, C. W., Scarpa, F. L., Gaspar, N., Javadi, A. A., Bcrger, M. A., Evans, K. E., 2009. Simulated optimization of disordered structures with negative Poisson's ratios. Mechanics of Materials, 41, pp.919-927.
16. Zhu, H.X. and Mills, N.J., 2000, The In-Plane Nonlinear Compression of Regular honeycombs, International Journal of Solids and Structures, 37, pp. 1931-1949.
17. Lan, L-H and Fu, M-H, 2009, Nonlinear Constitutive Relations of Cellular Materials, AIAA Journal, 47(1). pp.264-270.
18. Hohe, J. and Becker, W. 2003, Effective Mechanical Behavior of Hyperelastic Honeycombs and Two-Dimensional Model Foams at Finite Strain, International Journal of Mechanical Sciences, 45, pp891-913.
19. Demiray, S., Becker, W., and Hohe, J., 2006, Analysis of Two- and Three-Dimensional Hyperelastic Model Foams under Complex Loading Conditions, Mechanics of Materials, 38. pp. 985-1000.
20. R. Hill, 1963, "Elastic Properties of Reinforced Solids: Some Theoretical Principles," Journal of Mechanics and Physics of Solids, vol. 11, pp. 357-372.
21. Z. Hashin, 1983, "Analysis of Composite Materials - A Survey," ASME Transactions: Journal of Applied Mechanics, vol. 50. pp. 143-150.
22. J. Aboudi, 1989, "Micromechanical Analysis of Composites by the Method of Cells," ASME Transactions: Applied Mechanics Review, vol. 42, pp. 193-221.
23. R. Hill, "A Self Consistent Mechanics of Composite Materials," Journal of Mechanics and Physics of Solids, vol. 13, pp. 213-222, 1965.
24. S. Nemat-Nasser and M. Hori, Micromechanics: Overall Properties of Heterogeneous Solids. Amsterdam, The Netherlands: Elsevier, 1993.
25. Laroussi, M., Sab, K. and Alaoui, A., 2002. Foam mechanics: nonlinear response of an elastic 3D-periodic microstructure. International Journal of Solid and Structures. 39, 3599-3623.
26. Li, K., Gao, X.-L. and Subhash, G., 2005. Effects of cell shape and cell wall thickness variations on the elastic properties of two-dimensional cellular solids. International Journal of Solid and Structures. 42, 1777-1795.
27. Mulliken, A. D. and Boyce, M.C., 2006, Mechanics of the Rate-Dependent Elastic-Plastic Deformation of Glassy Polymers from Low to High Strain Rates, International Journal of Solids and Structures, 43:1331-1356.
28. Holzapfel, G.A., 2000, Nonlinear Solid Mechanics - A Continuum Approach for Engineering, John Wiley & Sons Ltd, England.