Analysis of the elastostatic specific stiffness of 2D stretching-dominated lattice materials

Mechanics of Materials

Volumn 42, Issue 7, 2010, Pages 709-725

  Elsayed, Mostafa S A ^a   Pasini, Damiano ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

Bloch's theorem; Dummy Node Scheme; Lattice material; Micro truss; Stretching dominated lattice material

Indexed keywords

2D LATTICE; ANALYSIS PROCESS; BLOCH'S THEOREM; BRAVAIS LATTICES; CAUCHY-BORN HYPOTHESIS; CELL TOPOLOGY; DEFORMATION WAVES; DETERMINACY ANALYSIS; DUMMY NODES; ELEMENT DEFORMATIONS; INFORMATION CONCERNING; KINEMATIC BOUNDARY CONDITIONS; LATTICE MATERIALS; LATTICE TOPOLOGY; MACROSCOPIC STIFFNESS; MACROSCOPIC STRAINS; MATRIX; MICRO-TRUSS; PERIODIC LATTICES; RELATIVE DENSITY; SELECTION OF THE BEST; SPECIFIC STIFFNESS; TRUSS STRUCTURE; UNIT CELLS;

BIOINFORMATICS; DEFORMATION; ELASTIC MODULI; KINEMATICS; STIFFNESS; STIFFNESS MATRIX; TOPOLOGY; TRUSSES;

MATERIALS PROPERTIES;

EID: 77955714725     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmat.2010.05.003     Document Type: Article

References (30)

1. M.H. Alethea Journal of Mechanics of Materials 36 2004 691 713
2. M. Aschbacher Finite Group Theory second ed. Cambridge Studies in Advanced Mathematics vol. 10 2000 Cambridge University Press Cambridge
3. K. Bhattacharya Microstructure of Martensite: Why it Forms and How it Gives Rise to the Shape-Memory Effect Oxford Series on Materials Modeling vol. 2 2003 Oxford University Press New York
4. M. Born, and K. Huang Dynamical Theory of Crystal Lattices 1954 Clarendon Press Oxford
5. L. Brillouin Wave Propagation in Periodic Structures, International Series in Pure and Applied Physics 1946 McGraw-Hill New York
6. L. Brillouin Wave Propagation in Periodic Structures second ed. 1953 Dover New York
7. C.R. Calladine International Journal of Solids and Structures 14 1978 161 172
8. V.S. Deshpande, M.F. Ashby, and N.A. Fleck Acta Materialia 49 6 2001 1035 1040
9. J.L. Ericksen M.E. Gurtin, Phase Transformations and Material Instabilities in Solids 1984 Academic Press New York
10. L.J. Gibson, and M.F. Ashby Cellular Solids: Structure and Properties second ed 1997 Cambridge University Press Cambridge
11. G. Grosso, and G. Pastori-Parravincini Solid State Physics 2000 Academic Press London
12. V.E. Hill Groups and Characters 2000 Chapman & Hall/CRC Press Boca Raton, FL
13. Roger A. Horn, and Charles R. Johnson Matrix Analysis 1985 Cambridge University Press Cambridge
14. Roger A. Horn, and Charles R. Johnson Topics in Matrix Analysis 1991 Cambridge University Press Cambridge
15. Hutchinson, R.G., 2004. Mechanics of Lattice Materials. Ph.D. Thesis, Cambridge University, Cambridge.
16. R.G. Hutchinson, and N.A. Fleck Journal of the Mechanics and Physics of Solids 54 4 2006 756 782
17. G. James, and M. Liebeck Representations and Characters of Groups second ed. 2001 Cambridge University Press Cambridge
18. W. Jones, and N.H. March Theoretical Solid State Physics vol. 1 1973 Wiley-Interscience London
19. E.N. Kuznetsov International Journal of Solids and Structures 34 1997 3657 3671
20. E.N. Kuznetsov International Journal of Solids and Structures 37 15 2000 2215 2223
21. R.S. Langley Journal of Sound and Vibration 167 1993 377 381
22. R.S. Langley, N.S. Bardell, and H.M. Ruivo Journal of Sound and Vibration 207 1997 521 535
23. G.A. Maugin The Thermomechanics of Plasticity and Fracture. Cambridge Texts in Applied Mathematics 1992 Cambridge University Press Cambridge
24. Maxwell, J.C., 1864. Philosophical Magazine, 27, 294, 1864, Paper XXVI in Collected papers, Cambridge 1890.
25. S. Pellegrino International Journal of Solids and Structures 34 21 1993 2035 3025
26. S. Pellegrino, and C.R. Calladine International Journal of Solids and Structures 22 4 1986 409 428
27. S.A. Phani, J. Woodhouse, and N.A. Fleck Journal of the Acoustical Society of America 119 4 2006 1995 2005
28. M. Pitteri, and G. Zanzotto Continuum Models for Phase Transitions and Twinning in Crystals 2003 Chapman & Hall/CRC Press Boca Raton, FL
29. J.D. Renton Elastic Beams and Frames second ed. 2002 Horwood Publishing Limited England
30. G. Strang Linear Algebra and Its Applications third ed. 1988 Wellesley-Cambridge Press Cambridge