Large strain compressive response of 2-D periodic representative volume element for random foam microstructures

Mechanics of Materials

Volumn 66, Issue , 2013, Pages 7-20

  Alsayednoor, J ^a   Harrison, P ^a   Guo, Z ^b  

^a UNIVERSITY OF GLASGOW   (United Kingdom)

^b CHONGQING UNIVERSITY   (China)

Author keywords

Contact; Foam; Micro macro; PBC; RVE

Indexed keywords

COMPRESSIVE MECHANICAL PROPERTIES; COMPRESSIVE RESPONSE; INTERNAL MICROSTRUCTURE; MICRO-MACRO; NUMERICAL INVESTIGATIONS; PBC; REPRESENTATIVE VOLUME ELEMENT (RVE); RVE;

ALGORITHMS; CONTACTS (FLUID MECHANICS); DENSIFICATION; FOAMS; MICROSTRUCTURE; STIFFNESS; VOLUME MEASUREMENT;

STRAIN;

EID: 84882804326     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmat.2013.06.006     Document Type: Article

References (61)

1. A. Anthoine Derivation of the inplane elastic characteristics of masonry through homogenization theory International Journal of Solids and Structures 32 1995 137 163
2. J. Banhart, and J. Baumeister Deformation characteristics of metal foams Journal of Materials Science 33 1998 1431 1440 (Pubitemid 128509564)
3. J.S. Blazy, A. Marie-Louise, S. Forest, Y. Chastel, A. Pineau, A. Awade, C. Grolleron, and F. Moussy Deformation and fracture of aluminium foams under proportional and non-proportional multi-axial loading: statistical analysis and size effect International Journal of Mechanical Sciences 46 2004 217 244
4. P. Boisse, N. Hamila, E. Vidal-Sallé, and F. Dumont Simulation of wrinkling during textile composite reinforcement forming. Influence of tensile, in-plane shear and bending stiffnesses Composites Science and Technology 71 2011 683 692
5. M. Borovinsek, and Z. Ren Computational modelling of irregular open-cell foam behaviour under impact loading Materialwissenschaft Und Werkstofftechnik 39 2008 114 120
6. M.L. Boubakar, F. Trivaudey, D. Perreux, and L. Vang A meso-macro finite element modelling of laminate structures Part I: Time-independent behaviour Composite Structures 58 2002 271 286 (Pubitemid 35219030)
7. C. Chen, T.J. Lu, and N.A. Fleck Effect of imperfections on the yielding of two-dimensional foams Journal of the Mechanics and Physics of Solids 47 1999 2235 2272 (Pubitemid 32080632)
8. T. Dillard, S. Forest, and P. Ienny Micromorphic continuum modelling of the deformation and fracture behaviour of nickel foams European Journal of Mechanics A-Solids 25 2006 526 549 (Pubitemid 43766061)
9. W.J. Drugan, and J.R. Willis A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites Journal of the Mechanics and Physics of Solids 44 1996 497 524 (Pubitemid 126351704)
10. I. Duarte, and J. Banhart A study of aluminium foam formation - kinetics and microstructure Acta Materialia 48 2000 2349 2362
11. J.A. Elliott, A.H. Windle, J.R. Hobdell, G. Eeckhaut, R.J. Oldman, W. Ludwig, E. Boller, P. Cloetens, and J. Baruchel In-situ deformation of an open-cell flexible polyurethane foam characterized by 3D computed micro-tomography Journal of Materials Science 37 2002 1547 1555 (Pubitemid 34460019)
12. A. Fazekas, R. Dendievel, L. Salvo, and Y. Brechet Effect of microstructural topology upon the stiffness and strength of 2D cellular structures International Journal of Mechanical Sciences 44 2002 2047 2066
13. L.J. Gibson, and M.F. Ashby Cellular Solids - Structure and Properties 1997 Cambridge University Press Cambridge
14. L. Gong, S. Kyriakides, and W.Y. Jang Compressive response of open-cell foams. Part I: Morphology and elastic properties International Journal of Solids and Structures 42 2005 1355 1379
15. J.L. Grenestedt, and K. Tanaka Influence of cell shape variations on elastic stiffness of closed cell cellular solids Scripta Materialia 40 1998 71 77 (Pubitemid 128428804)
16. J.M. Guedes, and N. Kikuchi Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite-element methods Computer Methods in Applied Mechanics and Engineering 83 1990 143 198
17. V. Hardenacke, and J. Hohe Local probabilistic homogenization of two-dimensional model foams accounting for micro structural disorder International Journal of Solids and Structures 46 2009 989 1006
18. R. Hill Elastic properties of reinforced solids - some theoretical principles Journal of the Mechanics and Physics of Solids 11 1963 357 372
19. J. Hohe, and W. Becker Geometrically nonlinear stress-strain behavior of hyperelastic solid foams Computational Materials Science 28 2003 443 453
20. A. Honig, and W.J. Stronge In-plane dynamic crushing of honeycomb. Part II: Application to impact International Journal of Mechanical Sciences 44 2002 1697 1714 (Pubitemid 34946815)
21. W.Y. Jang, A.M. Kraynik, and S. Kyriakides On the microstructure of open-cell foams and its effect on elastic properties International Journal of Solids and Structures 45 2008 1845 1875
22. W.Y. Jang, S. Kyriakides, and A.M. Kraynik On the compressive strength of open-cell metal foams with Kelvin and random cell structures International Journal of Solids and Structures 47 2010 2872 2883
23. C. Korner, M. Thies, and R.F. Singer Modeling of metal foaming with Lattice Boltzmann automata Advanced Engineering Materials 4 2002 765 769
24. V. Kouznetsova, W.A.M. Brekelmans, and F.P.T. Baaijens An approach to micro-macro modeling of heterogeneous materials Computational Mechanics 27 2001 37 48 (Pubitemid 32251829)
25. A.M. Kraynik The structure of random foam Advanced Engineering Materials 8 2006 900 906 (Pubitemid 44621754)
26. A.M. Kraynik, D.A. Reinelt, and F. Van Swol Structure of random monodisperse foam Physical Review E 67 2003
27. A.M. Kraynik, D.A. Reinelt, and F. Van Swol Structure of random foam Physical Review Letters 93 2004
28. N.P. Kruyt, and L. Rothenburg Kinematic and static assumptions for homogenization in micromechanics of granular materials Mechanics of Materials 36 2004 1157 1173
29. M. Laroussi, K. Sab, and A. Alaoui Foam mechanics: nonlinear response of an elastic 3D-periodic microstructure International Journal of Solids and Structures 39 2002 3599 3623 (Pubitemid 34801322)
30. K. Li, X.L. Gao, and G. Subhash Effects of cell shape and strut cross-sectional area variations on the elastic properties of three-dimensional open-cell foams Journal of the Mechanics and Physics of Solids 54 2006 783 806 (Pubitemid 43121438)
31. Q.M. Li, I. Magkiriadis, and J.J. Harrigan Compressive strain at the onset of densification of cellular solids Journal of Cellular Plastics 42 2006 371 392 (Pubitemid 44291202)
32. K. Li, X.L. Gao, and J. Wang Dynamic crushing behavior of honeycomb structures with irregular cell shapes and non-uniform cell wall thickness International Journal of Solids and Structures 44 2007 5003 5026 (Pubitemid 46497109)
33. E. Maire, A. Fazekas, L. Salvo, R. Dendievel, S. Youssef, P. Cloetens, and J.M. Letang X-ray tomography applied to the characterization of cellular materials. Related finite element modeling problems Composites Science and Technology 63 2003 2431 2443 (Pubitemid 37365666)
34. N. Michailidis, F. Stergioudi, H. Omar, D. Papadopoulos, and D.N. Tsipas Experimental and FEM analysis of the material response of porous metals imposed to mechanical loading Colloids and Surfaces A - Physicochemical and Engineering Aspects 382 2011 124 131
35. C. Miehe, and A. Koch Computational micro-to-macro transitions of discretized microstructures undergoing small strains Archive of Applied Mechanics 72 2002 300 317 (Pubitemid 35019568)
36. N.J. Mills, C. Fitzgerald, A. Gilchrist, and R. Verdejo Polymer foams for personal protection: cushions, shoes and helmets Composites Science and Technology 63 2003 2389 2400 (Pubitemid 37365662)
37. J. Miltz, and O. Ramon Energy-absorption characteristics of polymeric foams used as cushioning materials Polymer Engineering and Science 30 1990 129 133 (Pubitemid 20646877)
38. A.P. Roberts, and E.J. Garboczi Computation of the linear elastic properties of random porous materials with a wide variety of microstructure Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences 458 2002 1033 1054
39. D. Ruan, G. Lu, B. Wang, and T.X. Yu In-plane dynamic crushing of honeycombs - a finite element study International Journal of Impact Engineering 28 2003 161 182 (Pubitemid 35167599)
40. Saada, A.S., 1974. Elasticity, theory and applications. Pergamon Unified Engineering Series, 16, New York.
41. I. Schmidt Deformation induced elasto-plastic anisotropy in metal foams - modelling and simulation International Journal of Solids and Structures 41 2004 6759 6782
42. Z.H. Shan, and A.M. Gokhale Micromechanics of complex three-dimensional microstructures Acta Materialia 49 2001 2001 2015 (Pubitemid 32528982)
43. V. Shulmeister, M.W.D. Van der Burg, E. Van der Giessen, and R. Marissen A numerical study of large deformations of low-density elastomeric open-cell foams Mechanics of Materials 30 1998 125 140 (Pubitemid 128426852)
44. M.J. Silva, and L.J. Gibson Modeling the mechanical behavior of vertebral trabecular bone: effects of age-related changes in microstructure Bone 21 1997 191 199 (Pubitemid 27395407)
45. M.J. Silva, W.C. Hayes, and L.J. Gibson The effects of nonperiodic microstructure on the elastic properties of 2-dimensional cellular solids International Journal of Mechanical Sciences 37 1995 1161 1177
46. Smit, R.J.M., 1998, Toughness of heterogeneous polymeric systems, a modelling approach. Ph.D. Thesis, Printed by Universiteitsdrukkerij TU Eindhoven, Eindhoven, The Netherlands.
47. R.J.M. Smit, W.A.M. Brekelmans, and H.E.H. Meijer Prediction of the mechanical behavior of nonlinear heterogeneous systems by multi-level finite element modeling Computer Methods in Applied Mechanics and Engineering 155 1998 181 192 (Pubitemid 128398118)
48. Y.Z. Song, Z.H. Wang, L.M. Zhao, and J.A. Luo Dynamic crushing behavior of 3D closed-cell foams based on Voronoi random model Materials and Design 31 2010 4281 4289
49. C.C. Swan Techniques for stress-controlled and strain-controlled homogenization of inelastic periodic composites Computer Methods in Applied Mechanics and Engineering 117 1994 249 267
50. M.W.D. Van der Burg, V. Shulmeister, E. Vandergeissen, and R. Marissen On the linear elastic properties of regular and random open-cell foam models Journal of Cellular Plastics 33 1997 31 54 (Pubitemid 127690933)
51. G. Voronoï Nouvelles applications des paramètres continus à la théorie des formes quadratiques Journal für Reine und Angewandte Mathematik 134 1908 198 312
52. E.M. Wouterson, F.Y.C. Boey, X. Hu, and S.C. Wong Specific properties and fracture toughness of syntactic foam: effect of foam microstructures Composites Science and Technology 65 2005 1840 1850 (Pubitemid 40936401)
53. S. Youssef, E. Maire, and R. Gaertner Finite element modelling of the actual structure of cellular materials determined by X-ray tomography Acta Materialia 53 2005 719 730
54. X.C. Zhang, Y. Liu, B. Wang, and Z.M. Zhang Effects of defects on the in-plane dynamic crushing of metal honeycombs International Journal of Mechanical Sciences 52 2010 1290 1298
55. Z.J. Zheng, J.L. Yu, and J.R. Li Dynamic crushing of 2D cellular structures: a finite element study International Journal of Impact Engineering 32 2005 650 664
56. J. Zhou, and W.O. Soboyejo Compression-compression fatigue of open cell aluminum foams: macro-/micro-mechanisms and the effects of heat treatment Materials Science and Engineering A - Structural Materials Properties Microstructure and Processing 369 2004 23 35 (Pubitemid 38345746)
57. H.X. Zhu, and A.H. Windle Effects of cell irregularity on the high strain compression of open-cell foams Acta Materialia 50 2002 1041 1052 (Pubitemid 34181944)
58. H.X. Zhu, J.R. Hobdell, and A.H. Windle Effects of cell irregularity on the elastic properties of open-cell foams Acta Materialia 48 2000 4893 4900 (Pubitemid 32034623)
59. H.X. Zhu, J.R. Hobdell, and A.H. Windle Effects of cell irregularity on the elastic properties of 2D Voronoi honeycombs Journal of the Mechanics and Physics of Solids 49 2001 857 870 (Pubitemid 33710944)
60. H.X. Zhu, S.M. Thorpe, and A.H. Windle The geometrical properties of irregular two-dimensional Voronoi tessellations Philosophical Magazine A - Physics of Condensed Matter Structure Defects and Mechanical Properties 81 2001 2765 2783
61. H.X. Zhu, S.M. Thorpe, and A.H. Windle The effect of cell irregularity on the high strain compression of 2D Voronoi honeycombs International Journal of Solids and Structures 43 2006 1061 1078 (Pubitemid 41828244)