Auxetic strains - Insight from iso-auxetic materials

Molecular Simulation

Volumn 31, Issue 13, 2005, Pages 867-871

  Blumenfeld, R ^a,b  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Disordered structures; Elasto auxetic; Fabric tensor; Iso auxetic; Stress strain

Indexed keywords

DEFORMATION; ELASTIC MODULI; POISSON RATIO; STRESS ANALYSIS; TENSORS;

DISORDERED STRUCTURES; ELASTO-AUXETIC; FABRIC TENSORS; ISO-AUXETIC; STRESS STRAIN;

DEGREES OF FREEDOM (MECHANICS);

EID: 29144435149     PISSN: 08927022     EISSN: None     Source Type: Journal    
DOI: 10.1080/08927020500295044     Document Type: Article

References (15)

1. R.S. Lakes. Foam structures with a negative Poisson's ratio. Science, 235, 1038 (1987).
2. E.A. Friis, R.S. Lakes, J.B. Park. Negative Poisson's ratio polymeric and metallic materials. J. Mater. Sci., 23, 4406 (1988).
3. F. Homand-Etienne, R. Houpert. Thermally induced microcracking in granites: characterization and analysis. Int. J. Rock Mech. Min. Sci & Geomech., Abstract 26, 125 (1989).
4. A. Nur, G. Simmons. The effect of saturation on velocity in low porosity rocks. Earth Planet. Sci. Lett., 7, 183 (1969).
5. B.D. Caddock, K.E. Evans. Microporous materials with negative Poisson's ratio: I. Microstructure and mechanical properties. J. Phys. D., Appl. Phys., 22, 1877 (1989).
6. K.E. Evans, B. D. Caddock. Microporous materials with negative Poisson's ratio: II. Mechanisms and interpretation. J. Phys. D., Appl. Phys., 22, 1883 (1989).
7. R.F. Almgren. An isotropic three dimensional structure with Poisson's ratio = - 1.7. Elasticity, 15, 427 (1985).
8. K.E. Evans. Tensile network microstructures exhibiting negative Poisson's ratio. J. Phys. D., Appl. Phys., 22, 1870 (1989).
9. L.J. Gibson, M.F. Ashby, G.S. Schajer, C.I. Robertson. The mechanics of two dimensional cellular solids. Proc. Royal Soc. Lond., A382, 25 (1982).
10. R.C. Ball, R. Blumenfeld. The stress field in granular systems: Loop forces and potential formulation. Phys. Rev. Lett., 88, 115505 (2002).
11. R. Blumenfeld. Stress transmission in planar disordered foams. J. Phys. A: Math. Gen., 36, 2399 (2003).
12. R. Blumenfeld. Stress in planar cellular solids and isostatic granular assemblies: Coarse-graining the constitutive equation. Physica A, 336, 361 (2004).
13. J.N. Grima, A. Alderson, K.E. Evans. Auxetic behaviour from rotating rigid units. Phys. Star. Sol. (b), 242, 561 (2005).
14. E. Cosserat, F. Cosserat. Théorie des Corps Deformables, A. Hermann et Fils, (1909).
15. R.C. Ball, R. Blumenfeld. From plasticity to renormalisation group. Phil. Trans. R. Soc. Land., 360, 731 (2003).