Mechanism-based multi-surface plasticity model for ideal truss lattice materials

International Journal of Solids and Structures

Volumn 42, Issue 11-12, 2005, Pages 3235-3260

  Mohr, Dirk ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Constitutive modeling; Elasticity; Large deformations; Plasticity; Platonic solids; Truss lattice material

Indexed keywords

DEFORMATION; ELASTICITY; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; PLASTICITY; PRESSURE EFFECTS; STAINLESS STEEL; STEEL SHEET; STIFFNESS MATRIX; STRAIN; TENSORS;

CONSTITUTIVE MODELING; LARGE DEFORMATIONS; PLATONIC SOLIDS; TRUSS LATTICE MATERIAL;

TRUSSES;

EID: 13444253838     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2004.10.032     Document Type: Article

References (19)

1. S.T. Brittain, Y. Sugimura, O.J.A. Schueller, A.G. Evans, and G.M. Whitesides Fabrication and mechanical performance of a mesoscale space-filling truss system Journal of Microelectromechanical Systems 10 2001 113 120
2. R.M. Christensen The three-dimensional analog of the classical two-dimensional truss system Journal of Applied Mechanics 71 2004 285 287
3. V.S. Deshpande, N.A. Fleck, and M.F. Ashby Effective properties of the octet-truss lattice material Journal of the Mechanics and Physics of Solids 49 2001 1747 1769
4. L.J. Gibson, and M.F. Ashby Cellular solids: structure and properties second ed. 1997 Cambridge University Press
5. M.E. Gurtin An introduction to continuum mechanics 1981 Academic Press New York
6. Gustafsson, R.N.G., 2000. Ultralight stainless steel sandwich materials-HSSA. In: Meyer-Piening, H.R., Zenkert, D. (Eds.), Sandwich Construction 5, EMAS, pp. 169-176
7. A.E. Markaki, and T.W. Clyne Mechanics of thin ultra-light stainless steel sandwich sheet material Part I. Stiffness Acta Materialia 51 2003 1341 1350
8. D. Mohr, and M. Doyoyo Nucleation and propagation of plastic collapse bands in aluminum honeycomb Journal of Applied Physics 94 4 2003 2262 2270
9. D. Mohr, and M. Doyoyo Large plastic deformation of metallic honeycomb: orthotropic rate-independent constitutive model International Journal of Solids and Structures 41 16-17 2004 4435 4456
10. A.K. Noor Continuum modeling for repetitive lattice structures Applied Mechanics Review 41 7 1988 285 296
11. P. Ponte Castañeda, and P. Suquet Nonlinear composites Advances in Applied Mechanics 34 1998 171 302
12. J.C. Simo, and T.J.R. Hughes Computational inelasticity 1998 Springer-Verlag New York
13. Y. Sugimura Mechanical response of single-layer tetrahedral trusses under shear loading Mechanics of Materials 36 2004 715 721
14. P. Suquet Elements of homogenization for inelastic solid mechanics E. Sanchez-Palencia A. Zaoui Homogenization techniques for composite media Lecture notes in physics 1987 Springer-Verlag Berlin 193 278
15. H.N.G. Wadley Cellular metals manufacturing Advanced Engineering Materials 4 10 2002 726 733
16. H.N.G. Wadley, N.A. Fleck, and A.G. Evans Fabrication and structural performance of periodic cellular metal sandwich structures Composite Science and Technology 63 2003 2331 2343
17. J.C. Wallach, and L.J. Gibson Mechanical behavior of a three-dimensional truss material International Journal of Solids and Structures 38 2001 7181 7196
18. N. Wicks, and J.W. Hutchinson Optimal truss plates International Journal of Solids and Structures 38 2001 5165 5183
19. J. Zhou, P. Shrotriya, and W.O. Soboyejo On the deformation of aluminum lattice block structures: from struts to structures Mechanics of Materials 36 2004 723 737