The properties of the Poisson's ratio of microcellular foams with low porosity: Non-stationary, negative value, and singularity

Mechanics of Time-Dependent Materials

Volumn 10, Issue 4, 2006, Pages 315-330

  Chen, J K ^a   Zhu, J ^a   Wang, J ^b   Yuan, M ^a,c   Chu, H J ^b  

^a NINGBO UNIVERSITY   (China)

^b PEKING UNIVERSITY   (China)

^c Wuxi Water Resources Design Company Limited of Research Institute   (China)

Author keywords

Creep deformation; Microcellular foams; Poisson's ratio; Singularity mesomechanics; Stress relaxation

Indexed keywords

NUMERICAL METHODS; POISSON RATIO; POROSITY; STRESS RELAXATION;

CREEP DEFORMATION; MICROCELLULAR FOAMS; SINGULARITY MESOMECHANICS;

FOAMS;

EID: 34547312137     PISSN: 13852000     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11043-007-9025-6     Document Type: Article

References (19)

1. Bishop, A.W., Might, D.W.: Value of Poisson's ratio in saturated soils and rocks stressed under undrained conditions. Geotechnique 27(3), 369-384 (1977)
2. Caddock, B.D., Evans, K.E.: Microporous materials with negative Poisson's ratios: I, Microstructure and mechanical properties. J. Phys. D: Appl. Phys. 22, 1877-1882 (1989)
3. Chen, J.K., Huang, Z.P., Mai, Y.W.: A constitutive relation of particulate-reinforced viscoelastic composite materials with debonded microvoids. Acta Materialia 51, 3375-3384 (2003)
4. Christensen, R.M.: Theory of Viscoelasticity: An Introduction, pp. 1-41. Academic, New York (1982)
5. Christensen, R.M.: Two theoretical elasticity micromechanics models. Journal of Elast. 50, 15-25 (1998)
6. Christensen, R.M., Lo, K.H.: Solutions for effective shear properties in three phase sphere and cylinder models. J. Mech. Phys. Solids 27, 315-330 (1979)
7. Colton, J.S., Suh, N.P.: The nucleation of microcellular thermoplastics foam with additives: Part I: Theoretical considerations. Polym. Eng. Sci. 27, 485-499 (1987)
8. Duan, H.L., Jiao, Y., Yi, X., Huang, Z.P., Wang, J.: Solutions of inhomogeneity problems with graded shells and application to core-shell nanoparticles and composites. J. Mech. Phys. Solids 54, 1401-1425 (2006)
9. Eshelby, J.D.: The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc. Roy. Soc. Lond. A241, 376-396 (1957)
10. Evans, K.E., Nkansah, M.A., Hutchinson, I.J., et al.: Molecular network design. Nature 353, 124 (1991)
11. Lakes, R.: Foam structures with a negative Poisson's ratio. Science 235, 1038-1040 (1987)
12. Matuana, L.M., Park, C.B., Balatinecz, J.J.: Cell morphology and property relationships of microcellular foamed pvc/wood-fiber composites. Polym. Eng. Sci. 38, 1862-1872 (1998)
13. Mura, T.: Micromechanics of Defects in Solids, 2nd edn, pp. 1-181. Martinus Nijhoff (1987)
14. Persson, B.: Poisson's ratio of high-performance concrete. Cem. Cone. Res. 29, 1647-1653 (1999)
15. Phan-Thien, N., Karihaloo, B.L.: Materials with negative Poisson ratio - a qualitative microstructural model. J. Appl. Mech. 61, 1001-1004 (1994)
16. Shimbo, M., Baldwin, D.F., Suh, N.P.: The viscoelastic behavior of microcellular plastics with varying cell size. Polym. Eng. Sci. 35, 1387-1393 (1995)
17. Sideris, K.K., Manita, P., Sideris, K.: Estimation of ultimate modulus of elasticity and Poisson ratio of normal concrete. Cem. Conc. Compos. 26, 623-631 (2004)
18. Torquato, S.: Effective stiffness tensor of composite media: II. Applications to isotropic dispersions. J. Mech. Phys. Solids 46, 1411-1440 (1998)
19. Tschoegl, N.W., Knauss, W.G., Emri, I.: Poisson's ratio in linear viscoelasticity - A critical review. Mech. Time-Depend. Mater. 6, 3-51 (2002)