Two-scale and full-scale analyses of elastoplastic honeycomb blocks subjected to flat-punch indentation

International Journal of Solids and Structures

Volumn 46, Issue 7-8, 2009, Pages 1755-1763

  Asada, Takashi ^a   Tanaka, Yuji ^a   Ohno, Nobutada ^a  

^a NAGOYA UNIVERSITY   (Japan)

Author keywords

Elastoplastic honeycomb structures; Flat punch indentation; Full scale analysis; Homogenization; Two scale analysis

Indexed keywords

ELASTOPLASTICITY; HONEYCOMB STRUCTURES; STATISTICS;

ELASTOPLASTIC HONEYCOMB STRUCTURES; FLAT-PUNCH INDENTATION; FULL-SCALE ANALYSIS; HOMOGENIZATION; TWO-SCALE ANALYSIS;

ELECTRIC HEATING ELEMENTS;

EID: 60349089727     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2008.12.024     Document Type: Article

References (32)

1. Asada T., and Ohno N. Fully implicit formulation of elastoplastic homogenization problem for two-scale analysis. International Journal of Solids and Structures 44 (2007) 7261-7275
2. Bensoussan A., Lions J.L., and Papanicolaou G. Asymptotic Analysis for Periodic Structures (1978), North Holland, Amsterdam
3. Chen C., Lu T.J., and Fleck N.A. Effect of imperfections on the yielding of two-dimensional foams. Journal of the Mechanics and Physics of Solids 47 (1999) 2235-2272
4. 2 multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials. Computer Methods in Applied Mechanics and Engineering 183 (2000) 309-330
5. Fish J., Shek K., Pandheeradi M., and Shephard M.S. Computational plasticity for composite structures based on mathematical homogenization: theory and practice. Computer Methods in Applied Mechanics and Engineering 148 (1997) 53-73
6. Ghosh S., Lee K., and Moorthy S. Two scale analysis of heterogeneous elastic-plastic materials with asymptotic homogenization and Voronoi cell finite element model. Computer Methods in Applied Mechanics and Engineering 132 (1996) 63-116
7. Gibson L.J., and Ashby M.F. Cellular Solids: Structures and Properties. second ed. (1997), Cambridge University Press, Cambridge
8. Gibson L.J., Ashby M.F., Zhang J., and Triantafillou T.C. Failure surfaces for cellular materials under multiaxial loads-I. Modelling. International Journal of Mechanical Sciences 31 (1989) 635-663
9. Hohe J., and Becker W. Effective mechanical behavior of hyperelastic honeycombs and two-dimensional model foams at finite strain. International Journal of Mechanical Sciences 45 (2003) 891-913
10. Karagiozova D., and Yu T.X. Plastic deformation modes of regular hexagonal honeycombs under in-plane biaxial compression. International Journal of Mechanical Sciences 46 (2004) 1489-1515
11. Klintworth J.W., and Stronge W.J. Elasto-plastic yield limits and deformation laws for transversely crushed honeycombs. International Journal of Mechanical Sciences 30 (1988) 273-292
12. Klintworth J.W., and Stronge W.J. Plane punch indentation of a ductile honeycomb. International Journal of Mechanical Sciences 31 (1989) 359-378
13. Matsuda T., Ohno N., Tanaka H., and Shimizu T. Effects of fiber distribution on elastic-viscoplastic behavior of long fiber-reinforced laminates. International Journal of Mechanical Sciences 45 (2003) 1583-1598
14. Matsuda T., Nimiya Y., Ohno N., and Tokuda M. Elastic-viscoplastic behavior of plain-woven GFRP laminates: homogenization using a reduced domain of analysis. Composite Structures 79 (2007) 493-500
15. Matsuda T., Okumura D., Ohno N., and Kawai M. Three-dimensional microscopic interlaminar analysis of cross-ply laminates based on a homogenization theory. International Journal of Solids and Structures 44 (2007) 8274-8284
16. Michel J.C., and Suquet P. Computational analysis of nonlinear composite structures using the nonuniform transformation field analysis. Computer Methods in Applied Mechanics and Engineering 193 (2004) 5477-5502
17. Michel J.C., Moulinec H., and Suquet P. Effective properties of composite materials with periodic microstructure: a computational approach. Computer Methods in Applied Mechanics and Engineering 172 (1999) 109-143
18. Miehe C. Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation. International Journal for Numerical Methods in Engineering 55 (2002) 1285-1322
19. Ohno N., Wu X., and Matsuda T. Homogenized propertied of elastic-viscoplastic composites with periodic internal structures. International Journal of Mechanical Sciences 42 (2000) 1519-1536
20. Ohno N., Matsuda T., and Wu X. A homogenization theory for elastic-viscoplastic composites with point symmetry of internal distributions. International Journal of Solids and Structures 38 (2001) 2867-2878
21. Ohno N., Okumura D., and Noguchi H. Microscopic symmetric bifurcation condition of cellular solids based on a homogenization theory of finite deformation. Journal of the Mechanics and Physics of Solids 50 (2002) 1125-1153
22. Okumura D., Ohno N., and Noguchi H. Post-buckling analysis of elastic honeycombs subject to in-plane biaxial compression. International Journal of Solids and Structures 39 (2002) 3487-3503
23. Okumura D., Ohno N., and Noguchi H. Elastoplastic microscopic bifurcation and post-bifurcation behavior of periodic cellular solids. Journal of the Mechanics and Physics of Solids 52 (2004) 641-666
24. Papka S.D., and Kyriakides S. In-plane compressive response and crushing of honeycomb. Journal of the Mechanics and Physics of Solids 42 (1994) 1499-1532
25. Papka S.D., and Kyriakides S. Biaxial crushing of honeycombs - Part I: Experiments. International Journal of Solids and Structures 36 (1999) 4367-4396
26. Sanchez-Palencia E. Non-homogeneous Media and Vibration Theory. Lecture Notes in Physics vol. 127 (1980), Springer Verlag, Berlin
27. Simo J.C., and Hughes T.J.R. Computational Inelasticity (1998), Springer Verlag, New York
28. Suquet P.M. Elements of homogenization for inelastic solid mechanics. In: Sanchez-Palencia E., and Zaoui A. (Eds). Homogenization Techniques for Composite Media. Lecture Notes in Physics vol. 272 (1987), Springer Verlag, Berlin 193-278
29. Terada K., and Kikuchi N. A class of general algorithms for multi-scale analyses of heterogeneous media. Computer Methods in Applied Mechanics and Engineering 190 (2001) 5427-5464
30. Triantafyllidis N., and Schraad M.W. Onset of failure in aluminum honeycombs under general in-plane loading. Journal of the Mechanics and Physics of Solids 46 (1998) 1089-1124
31. Wu X., and Ohno N. A homogenization theory for time-dependent nonlinear composites with periodic internal structures. International Journal of Solids and Structures 36 (1999) 4991-5012
32. Zhu H.X., and Mills N.J. The in-plane non-linear compression of regular honeycombs. International Journal of Solids and Structures 37 (2000) 1931-1949