66
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Constitutive properties of contacting materials with a finite-sized microstructure

Pages 873-882 | Received 01 May 2005, Accepted 01 Jun 2005, Published online: 22 Nov 2006

References

  • Pickles , A.P. , Alderson , K.L. and Evans , K.E. 1996 . The effects of powder morphology on the processing of auxetic polypropylene (PP of negative Poisson's ratio) . Polym. Eng. Sci. , 36 : 636
  • Gaspar , N. and Koenders , M.A. 2001 . Micromechanic formulation of macroscopic structures in a granular medium . J. Eng. Mech. (ASCE) , 127 : 987
  • Baughman , R.H. and Galvão , D.S. 1995 . Negative volumetric thermal expansion for proposed hinged phases . Chem. Phys Lett , 240 : 180
  • Chan , N. and Evans , K.E. 1997 . Microscopic examination of the microstructure and deformation of conventional and auxetic foams . J. Mater. Sci. , 32 : 5725
  • Lakes , R. 1987 . Foam structures with a negative Poisson's ratio . Science , 235 : 1038
  • Smith , C.W. , Grima , J.N. and Evans , K.E. 2000 . A novel mechanism for generating auxetic behaviour in reticulated foams: missing rib foam model . Acta Mater. , 48 : 4349
  • Masters , I.G. and Evans , K.E. 1996 . Models for the elastic deformation of honeycombs . Compos. Struct. , 35 : 403
  • Gaspar , N. , Smith , C.W. and Evans , K.E. 2003 . Effect of heterogeneity on the elastic properties of auxetic materials . J. Appl. Phys. , 94 : 6143
  • Lipsett , A.W. and Beltzer , A.I. 1988 . Re-examination of dynamic problems of elasticity for negative Poisson's ratio . J. Acoust. Soc. Am , 84 : 2179
  • Pryde , A.K.A. , Hammonds , K.D. , Dove , M.T. , Heine , V. , Gale , J.D. and Warren , M.C. 1996 . Origin of the negative thermal expansion in ZrW2O8 and ZrV2O7 . J. Phys.: Condens. Matter , 8 : 10973
  • Sleight , A.W. 1998 . Negative thermal expansion materials . Curr. Opin. Solid State Mater. Sci. , 3 : 128
  • Bathurst , R.J. and Rothenburg , L. 1988 . Note on a random isotropic granular material with negative Poisson's ratio . Int. J. Eng. Sci , 26 : 373
  • Johnson , K.L. 1985 . Contact mechanics , Cambridge : Cambridge University Press .
  • Becker , E. and Bürger , W. 1975 . Kontinuumsmechanik , Stuttgart : Teubner .
  • Bazant , Z.P. and Jirasek , M. 2002 . Nonlocal integral formulations of plasticity and damage: survey of progress . J. Eng. Mechanics , 128 : 1119
  • Cundall , P.A. and Strack , O.D.L. 1979 . A discrete numerical method for granular assemblies . Géotechnique , 29 : 47
  • Kuhn , M.R. 1999 . Structured deformation in granular materials . Mech. Mater. , 31 : 407
  • Thornton , C. and Antony , S.J. 1998 . Quasi-static deformation of particulate medial . Phil. Trans. R. Soc. London A , 356 : 2763
  • Jenkins , J.T. and Koenders , M.A. 2004 . The incremental response of random aggregates of round particles . Eur. Phys. J. E , 13 : 113
  • Gaspar , N. Structures and heterogeneity in deforming, densely packed granular materials . PhD thesis . Kingston University .
  • Koenders , M.A. 1987 . The incremental stiffness of an assembly of particles . Acta Mech. , 70 : 31
  • Israelachvili , J. 1992 . Intermolecular and Surface Forces , 2nd ed. , London : Academic Press .
  • Mindlin , R.D. 1964 . Micro-structure in linear elasticity . Arch. Rational Mech. , 16 : 51
  • Abramowitz , M. and Stegun , I. 1972 . Handbook of Mathematical Functions , New York : Dover .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.