Comparison of prediction on effective elastic property and shape optimization of truss material with periodic microstructure

International Journal of Mechanical Sciences

Volumn 48, Issue 4, 2006, Pages 400-413

  Yan, Jun ^a   Cheng, Gengdong ^a   Liu, Shutian ^a   Liu, Ling ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Effective property; Homogenization method; RVE method; Scale effect; Shape optimization; Truss material

Indexed keywords

BOUNDARY CONDITIONS; ELASTICITY; GEOMETRY; MICROSTRUCTURE; NUMERICAL ANALYSIS; SHEAR STRESS;

EFFECTIVE PROPERTIES; HOMOGENIZATION METHOD; RVE METHOD; SCALE EFFECTS; SHAPE OPTIMIZATION; TRUSS MATERIAL;

TRUSSES;

EID: 31344440622     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2005.11.003     Document Type: Article

References (16)

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 Microelectromechanical Systems 10 2001 113 120
2. V.S. Deshpande, M.F. Ashby, and N.A. Fleck Foam topology: bending versus stretching dominated architectures Acta Materialia 49 2001 1035 1040
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. 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
5. N. Wicks, and J.W. Hutchinson Optimal truss plates International Journal of Solids and Structures 38 2001 5165 5183
6. S. Hyun, A.M. Karlsson, S. Torquato, and A.G. Evans Simulated properties of Kagomé and tetragonal truss core panels International Journal of Solids and Structures 40 2003 6989 6998
7. S. Hyun, and S. Torquato Optimal and manufacturable two-dimensional, Kagomé-like cellular solids Journal of Materials Research 17 2002 137 144
8. S. Pecullan, L.V. Gibiansky, and S. Torquato Scale effects on the elastic behavior of periodic and hierarchical two dimensional composites Journal of the Mechanics and Physics of Solids 47 1999 1509 1542
9. R. Kohn Recent progress in the mathematical modeling of composite materials G. Sih Composite material response: constitutive relations and damage mechanisms 1988 Elsevier Amsterdam 155 176
10. J.M. Gudes, and N. Kikuchi Preprocessing and post processing for materials based on the homogenization method with adaptive finite element methods Computer Methods in Applied Mechanics and Engineering 83 1990 143 198
11. H.A. Eschenauer, and N. Olhoff Topology optimization of continuum structures Applied Mechanics Review 54 4 2001 331 390
12. R.D. Cook, D.S. Malkus, and M.E. Plesha Concepts and applications of finite element analysis 2002 Wiley New York
13. O. Sigmund Materials with prescribed constitutive parameters: an inverse homogenization problem International Journal of Solids and Structures 31 17 1994 2123 2329
14. G. Cheng Introduction of optimal designs of engineering structures 1984 China Water Power Press Beijing [in Chinese]
15. G.N. Vanderplaats Numerical methods for shape optimization: an assessment of the state of the art E. Atrek New direction in optimum design 1984 Wiley New York
16. X. Guo, and W. Liu Simultaneous shape and topology optimization of truss under local and global stability constraints Acta Mechanica Solida Sinica 16 2 2003 95 101