On poisson's ratio in linearly viscoelastic solids

Journal of Elasticity

Volumn 85, Issue 1, 2006, Pages 45-63

  Lakes, R S ^a   Wineman, A ^b  

^a University of Wisconsin Madison   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Correspondence principle; Frequencey dependence; Linearly viscoelastic solids; Poisson's ratio; Time dependence

Indexed keywords

CREEP; ELASTICITY; MICROSTRUCTURE; POISSON RATIO;

CORRESPONDENCE PRINCIPLE; FREQUENCEY DEPENDENCE; LINEARLY VISCOELASTIC SOLIDS; TIME DEPENDENCE;

VISCOELASTICITY;

EID: 33747453112     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10659-006-9070-4     Document Type: Article

References (26)

1. Pipkin, A.C.: Lectures on Viscoelasticity Theory. Springer, Berlin Heidelberg New York (1972)
2. Adams, R.D., Peppiatt, N.A.; Effect of Poisson's ratio strains in adherends on stresses of an idealized lap joint. J. Strain Anal. 8, 134-139 (1973)
3. Ferry, J.D.: Viscoelastic Properties of Polymers, 2nd edn. Wiley, New York (1970)
4. Lakes, R.S.: Viscoelastic Solids. CRC, Boca Raton, Florida (1998)
5. Hilton, H.H.: Implications and constraints of time-independent Poisson's ratios in linear isotropic and anisotropic viscoelasticity. J. Elast. 63, 221-251 (2001)
6. Tschoegl, N.W., Knauss, W., Emri, I.: Poisson's ratio in linear viscoelasticity - A critical review. Mech. Time-Depend. Mater. 6, 3-51 (2002)
7. Lu, H., Zhang, X., Knauss, W.G.: Uniaxial, shear, and Poisson relaxation and their conversion to bulk relaxation. Polym. Compos. 18, 211-222 (1997)
8. Kugler, H., Stacer, R., Steimle, C.: Direct measurement of Poisson's ratio in elastomers. Rubber Chem. Technol. 63, 473-487 (1990)
9. Sokolnikoff, I.S.: Mathematical Theory of Elasticity. Krieger, Malabar, Florida (1983)
10. Read Jr., W.T.: Stress analysis for compressible viscoelastic materials. J. Appl. Phys. 21, 671-674 (1950)
11. Gross, B.: Mathematical Structure of the Theories of Viscoelasticity. Hermann, Paris (1968)
12. Timoshenko, S.P., Goodier, J.N.: Theory of Elasticity. McGraw-Hill, London (1982)
13. Chen, C.P., Lakes, R.S.: Holographic study of conventional and negative Poisson's ratio metallic foams: Elasticity, yield, and micro-deformation. J. Mater. Sci. 26, 5397-5402 (1991)
14. Gurtin, M.E., Sternberg, E.: On the linear theory of viscoelasticity. Arch. Ration. Mech. Anal. 11, 291-356 (1962)
15. Anderson, D.L.: Theory of the Earth. Blackwell, Boston, Massachusetts (1989)
16. Gibson, L.J., Ashby, M.F.: Cellular Solids, 2nd edn. Cambridge University Press, Cambridge, UK (1997)
17. Weiner, J.H.: Statistical Mechanics of Elasticity. Wiley, New York (1983)
18. Kolpakov, A.G.: On the determination of the averaged moduli of elastic gridworks. Prikl. Mat. Meh. 59, 969-977 (1985)
19. Lakes, R.S.: Advances in negative Poisson's ratio materials. Adv. Mater. (Weinheim, Germany) 5, 293-296 (1993)
20. Lakes, R.S.: Foam structures with a negative Poisson's ratio. Science 235, 1038-1040 (1987)
21. Lakes, R.S.: The time dependent Poisson's ratio of viscoelastic cellular materials can increase or decrease. Cell. Polym. 11, 466-469 (1992)
22. Biot, M.A.: General theory of three-dimensional consolidation. J. Appl. Phys. 12, 155-164 (1941)
23. Zener, C.: Internal friction in solids. I. Theory of internal friction in reeds. Phys. Rev. 52, 230-235 (1937)
24. Nye, J.F.: Physical Properties of Crystals. Oxford University Press, London, UK (1976)
25. Zener, C., Otis, W., Nuckolls, R.: Internal friction in solids. III. Experimental demonstration of thermoelastic internal friction. Phys. Rev. 53, 100-101 (1938)
26. Christensen, R.M.: Restrictions upon viscoelastic relaxation functions and complex moduli. Trans. Soc. Rheol. 16, 603-614 (1972)