Computer simulations of auxetic foams in two dimensions

Smart Materials and Structures

Volumn 22, Issue 8, 2013, Pages

  Pozniak, A A ^a   Smardzewski, J ^b   Wojciechowski, K W ^c  

^a POZNAN UNIVERSITY OF TECHNOLOGY   (Poland)

^b POZNA UNIVERSITY OF LIFE SCIENCES   (Poland)

^c INSTITUTE OF MOLECULAR PHYSICS   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

HONEYCOMB LATTICES; LINEAR DIMENSIONS; MESH RESOLUTION; NEGATIVE POISSON'S RATIOS; POISSON'S RATIO; STATISTICAL ACCURACY; THERMODYNAMIC LIMITS; TIMOSHENKO BEAMS;

COMPUTER GRAPHICS; ELASTIC MODULI; EXTRAPOLATION; HONEYCOMB STRUCTURES; POISSON RATIO; SAMPLING;

COMPUTER SIMULATION;

EID: 84881129134     PISSN: 09641726     EISSN: 1361665X     Source Type: Journal    
DOI: 10.1088/0964-1726/22/8/084009     Document Type: Article

References (86)

1. Gibson L J and Ashby M F 1999 Cellular Solids: Structure and Properties (Cambridge Solid State Science Series) 2nd edn (Cambridge: Cambridge University Press)
2. Bardenhagen S G, Brydon A D and Guilkey J E 2005 J. Mech. Phys. Solids 53 597-617 (Pubitemid 40120646)
3. Gdoutos E E, Daniel I M and Wang K A 2002 Composites A 33 163-76
4. Viot P 2009 Int. J. Impact Eng. 36 975-89
5. McDonald S A, Ravirala N, Withers P J and Alderson A 2009 Scr. Mater. 60 232-5
6. Bouix R, Viot P and Lataillade J 2009 Int. J. Impact Eng. 36 329-42
7. Laroussi M, Sab K and Amina A 2002 Int. J. Solids Struct. 39 3599-623 (Pubitemid 34801322)
8. Okumura D, Okada A and Ohno N 2008 Int. J. Solids Struct. 45 3807-20
9. McDonald S A, Dedreuil-Monet G, Yao Y T, Alderson A and Withers P J 2011 Phys. Status Solidi b 248 45-51
10. Schwerdtfeger J, Wein F, Leugering G, Singer R F, Körner C, Stingl M and Schury F 2011 Adv. Mater. 23 2650-4
11. Zhu H X, Knott J F and Mills N J 1997 J. Mech. Phys. Solids 45 319-25
12. Zhu H X, Mills N J and Knott J F 1997 J. Mech. Phys. Solids 45 1875-99
13. Zhu H, Hobdell J R and Windle A H 2000 Acta Mater. 48 4893-900 (Pubitemid 32034623)
14. Zhu H, Thorpe S and Windle A 2006 Int. J. Solids Struct. 43 1061-78 (Pubitemid 41828244)
15. Gong L, Kyriakides S and Jang W 2005 Int. J. Solids Struct. 42 1355-79
16. Gong L, Kyriakides S and Jang W 2005 Int. J. Solids Struct. 42 1381-99
17. Roberts A P and Garboczi E J 2001 Acta Mater. 49 189-97 (Pubitemid 32093219)
18. Roberts A P and Garboczi E J 2002 J. Mech. Phys. Solids 50 33-55 (Pubitemid 33089065)
19. Brydon A, Bardenhagen S, Miller E and Seidler G 2005 J. Mech. Phys. Solids 53 2638-60 (Pubitemid 41377791)
20. Elliott J A, Windle A H, Hobdell J R, Eeckhaut G, Oldman R J, Ludwig W, Boller E, Cloetens P and Baruchel J 2002 J. Mater. Sci. 37 1547-55 (Pubitemid 34460019)
21. Lakes R S 1987 Science 235 1038-40
22. Grima J N, Attard D, Gatt R and Cassar R N 2009 Adv. Eng. Mater. 11 533-5
23. Landau L D and Lifshitz E M 1986 Theory of Elasticity (Teoretičeskaja fizika) (Oxford: Pergamon)
24. Evans K E 1991 Endeavour 15 170-4
25. Almgren R 1985 J. Elasticity 15 427-30
26. Wojciechowski K W 1987 Mol. Phys. 61 1247-58
27. Bathurst R J and Rothenburg L 1988 Int. J. Eng. Sci. 26 373-83 (Pubitemid 18626100)
28. Wojciechowski K W 1989 Phys. Lett. A 137 60-4
29. Caddock B D and Evans K E 1989 J. Phys. D: Appl. Phys 22 1877-82
30. Evans K E, Nkansah M A, Hutchinson I J and Rogers S C 1991 Nature 353 124
31. Lakes R S 1991 J. Mater. Sci. 26 2287-92
32. Rothenburg L, Berlin A I and Bathurst R J 1991 Nature 354 470-2
33. Milton G W 1992 J. Mech. Phys. Solids 40 1105-37
34. Wei G 1992 J. Chem. Phys. 96 3226-33
35. Keskar N R and Chelikowsky J R 1993 Phys. Rev. B 48 16227-33
36. Boal D H, Seifert U and Shillcock J C 1993 Phys. Rev. E 48 4274-83
37. Wojciechowski K W 1995 Mol. Phys. Rep. 10 129-36
38. Prall D and Lakes R S 1996 Int. J. Mech. Sci. 39 305-14
39. Larsen U D, Sigmund O and Bouwstra S 1997 J. Microelectromech. Syst. 6 99-106
40. Schärer U and Wachter P 1997 Physica B 230 721-4
41. Baughman R H, Shacklette J M, Zakhidov A A and Stafstrom S 1998 Nature 392 362-5 (Pubitemid 28168726)
42. Novikov V V and Wojciechowski K W 1999 Phys. Solid State 41 1970-5
43. Ishibashi Y and Iwata M 2000 J. Phys. Soc. Japan 69 2702-3
44. Grima J N and Evans K E 2000 J. Mater. Sci. Lett. 19 1563-5
45. Kimizuka H, Kaburaki H and Kogure Y 2000 Phys. Rev. Lett. 84 5548-51
46. Bowick M, Cacciuto A, Thorleifsson G and Travesset A 2001 Phys. Rev. Lett. 87 148103 (Pubitemid 32962163)
47. Alderson A and Evans K E 2002 Phys. Rev. Lett. 89 225503
48. Vasiliev A A, Dmitriev S V, Ishibashi Y and Shigenari T 2002 Phys. Rev. B 65 094101
49. Pikhitsa P V 2004 Phys. Rev. Lett. 93 015505
50. Ruzzene M and Scarpa F 2005 Phys. Status Solidi b 242 665-80 (Pubitemid 40390532)
51. Ting T C T and Barnett D M 2005 J. Appl. Mech. 72 929-31 (Pubitemid 41624313)
52. He C, Liu P, McMullan P J and Griffin A C 2005 Phys. Status Solidi b 242 576-84 (Pubitemid 40390523)
53. Norris A N 2006 Proc. R. Soc. A 462 3385-405 (Pubitemid 44671030)
54. Lakes R S and Wojciechowski K W 2008 Phys. Status Solidi b 245 545-51
55. Spadoni A, Ruzzene M, Gonella S and Scarpa F 2009 Wave Motion 46 435-50
56. Schwerdtfeger J, Heinl P, Singer R F and Körner C 2010 Phys. Status Solidi b 247 269-72
57. Chrzanowska A 2010 Acta Phys. Pol. B 41 1977-89
58. Valant M, Axelsson A K, Aguesse F and Alford N M 2010 Adv. Funct. Mater. 20 644-7
59. Pasternak E and Dyskin A V 2012 Int. J. Eng. Sci. 52 103-14
60. Prawoto Y 2012 Comput. Mater. Sci. 58 140-53
61. Lakes R S 1993 Adv. Mater. 5 293-6
62. Evans K E and Alderson A 2000 Adv. Mater. 12 617-28
63. Evans K E and Alderson K L 2000 Eng. Sci. Educ. J. 9 148-54
64. Hadjigeorgiou E P and Stavroulakis G E 2004 CMST 10 147-60
65. Ravirala N, Alderson A, Alderson K L and Davies P J 2005 Phys. Status Solidi b 242 653-64 (Pubitemid 40390531)
66. Alderson A and Alderson K L 2007 Proc. Inst. Mech. Eng. G 221 565-75 (Pubitemid 47501380)
67. Hassan M R, Scarpa F, Ruzzene M and Mohammed N 2008 Mater. Sci. Eng. A 481/482 654-7 (Pubitemid 351494372)
68. Alderson A, Rasburn J, Evans K E and Grima J N 2001 Membr. Technol. 2001 6-8
69. Choi J B and Lakes R S 1995 Int. J. Mech. Sci. 37 51-9
70. Smith C W and Grima J N 2000 Acta Mater. 48 4349-56 (Pubitemid 32021716)
71. Brandel B and Lakes R S 2001 J. Mater. Sci. 36 5885-93 (Pubitemid 34012974)
72. Pastorino P, Scarpa F, Patsias S, Yates J R, Haake S J and Ruzzene M 2007 Phys. Status Solidi b 244 955-65
73. Cadamagnani F, Frontoni S, Bianchi M and Scarpa F 2009 Phys. Status Solidi b 246 2118-23
74. Horrigan E J, Smith C W, Scarpa F L, Gaspar N, Javadi AA, Berger M and Evans K E 2009 Mech. Mater. 41 919-27
75. Bianchi M, Scarpa F, Banse M and Smith C W 2011 Acta Mater. 59 686-91
76. Gatt R, Attard D, Manicaro E, Chetcuti E and Grima J N 2011 Phys. Status Solidi b 248 39-44
77. Bouakba M, Bezazi A and Scarpa F 2012 Int. J. Solids Struct. 49 2450-9
78. Scarpa F, Panayiotou P and Tomlinson G 2000 J. Strain Anal. Eng. Des. 35 383-8
79. Gaspar N, Ren X, Smith C, Grima J and Evans K 2005 Acta Mater. 53 2439-45 (Pubitemid 40467397)
80. Álvarez Elipe J C and Díaz Lantada A 2012 Smart Mater. Struct. 21 105004
81. Alderson A, Alderson K L, Attard D, Evans K E, Gatt R, Grima J N, Miller W, Ravirala N, Smith C W and Zied K 2010 Compos. Sci. Technol. 70 1042-8
82. Lorato A, Innocenti P, Scarpa F, Alderson A, Alderson K L, Zied K M, Ravirala N, Miller W, Smith C W and Evans K E 2010 Compos. Sci. Technol. 70 1057-63
83. Cicala G, Recca G, Oliveri L, Perikleous Y, Scarpa F, Lira C, Lorato A, Grube D J and Ziegmann G 2012 Compos. Struct. 94 3556-62
84. Ohno N, Okumura D and Noguchi H 2002 J. Mech. Phys. Solids 50 1125-53
85. Hibbit D, Karlsson B and Sorensen P 2010
86. Saiki I, Terada K, Ikeda K and Hori M 2002 Comput. Methods Appl. Mech. Eng. 191 2561-85 (Pubitemid 34452174)