Cosserat modeling of cellular solids

Comptes Rendus - Mecanique

Volumn 330, Issue 11, 2002, Pages 717-722

  Onck, Patrick R ^a  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

Bone; Cellular solids; Continuum mechanics; Cosserat theory; Foams; Generalized continua; Homogenization; Micromechanics

Indexed keywords

HOMOGENIZATION;

COSSERAT THEORY; MATERIALS; MATHEMATICAL MODEL; MECHANICS; MORPHOLOGY; REVIEW; SOLID; THEORY;

EID: 0036855559     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-0721(02)01529-2     Document Type: Article

References (17)

1. J.Y. Shu, N.A. Fleck, E. van der Giessen, A. Needleman, Boundary layers in constrained plastic flow: Comparison of nonlocal and discrete dislocation plasticity, J. Mech. Phys. Solids 49 (2001) 1361-1395.
2. P.R. Onck, E.W. Andrews, L.J. Gibson, Size effects in ductile cellular solids. Part I: Modelling, Int. J. Mech. Sci. 34 (2000) 681-699.
3. E.W. Andrews, G. Gioux, P.R. Onck, L.J. Gibson, Size effects in ductile cellular solids. Part II: Experimental results, Int. J. Mech. Sci. 34 (2000) 701-713.
4. R.S. Lakes, Strongly Cosserat elastic lattice and foam materials for enhanced toughness, Cellular Polymers 12 (1993) 17.
5. S. Forest, K. Sab, Cosserat overall modeling of heterogeneous materials, Mech. Res. Comm. 25 (1998) 449-454.
6. S. Kruch, S. Forest, Computation of coarse grain structures using a homogeneous equivalent medium, J. Phys. IV 8 (1998) 197-205.
7. F. Bouyge, I. Jasiuk, M. Ostoja-Starzewski, A micromechanically based couple-stress model of an elastic two-phase composite, Int. J. Solids Structures 38 (2001) 1721-1735.
8. R. Dendievel, S. Forest, G. Canova, An estimation of overall properties of heterogeneous Cosserat materials, J. Phys. IV 8 (1998) 111-118.
9. S. Forest, F. Pradel, K. Sab, Asymptotic analysis of heterogeneous Cosserat media, Int. J. Solids Structures 38 (2001) 4585-4608.
10. C.B. Banks, M. Sokolowski, On certain two-dimensional applications of the couple stress theory, Int. J. Solids Structures 4 (1968) 15.
11. T. Adachi, Y. Tomita, M. Tanaka, Computational simulation of deformation behavior of 2D-lattice continuum, Int. J. Mech. Sci. 40 (1998) 857.
12. M. Ostoja-Starzewski, P.Y. Sheng, K. Alzebdeh, Spring network models in elasticity and fracture of composites and polycrystals, Comput. Math. Sci. 7 (1996) 82-93.
13. Z.P. Bazant, M. Christensen, Analogy between micropolar continuum and grid frameworks under initial stress, Int. J. Solids Structures 8 (1972) 327-346.
14. J.Y. Chen, Y. Huang, M. Ortiz, Fracture analysis of cellular materials: A strain gradient model, J. Mech. Phys. Solids 46 (1998) 789-828.
15. W.T. Koiter, Couple-stresses in the theory of elasticity I, Proc. Kon. Nederl. Akad. Wetensch. B 67 (1964) 17.
16. N.P. Kruyt, L. Rothenburg, Micromechanical definition of the strain tensor for granular materials, J. Appl. Mech. 118 (1996) 706-711.
17. P.R. Onck, Cosserat modelling of an elasto-viscoplastic rectangular lattice, in: Banhart, Fleck, Ashby (Eds.), Proceedings of MetFoam 2001, Bremen, 2001.