Size effects of hair-sized structures -torsion

Key Engineering Materials

Volumn 261-263, Issue I, 2004, Pages 11-22

  Tong, Pin ^a   Yang, Fan ^a,b   Lam, David C C ^a   Wang, Jun ^a,b  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

^b SOUTHWEST JIAOTONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; ELASTICITY; MATHEMATICAL MODELS; PARAMETER ESTIMATION; STIFFNESS; STRAIN CONTROL; THIN WALLED STRUCTURES; TORQUE;

NANO-MECHANICAL THEORY; STRAIN GRADIENTS; STRESS METRICES; TORSIONAL STIFFNESS;

TORSIONAL STRESS;

EID: 3142725665     PISSN: 10139826     EISSN: 16629795     Source Type: Book Series    
DOI: None     Document Type: Conference Paper

References (17)

1. Lam, D.C.C., Chong, A.C.M., Yang, F., Wang, J., and P. Tong. "Experiments and theory in strain gradient elasticity". J. Mech. Phys. Solids., 51, pp. 1477-1503, 2003.
2. Nix, W. D., 1989, "Mechanical Properties of Thin Films," Metall. Trans., A20, pp. 2217-2245.
3. Fleck, N. A., Muller, G. M., Ashby, M. F. and Hutchinson, J. W., 1994, "Strain Gradient Plasticity: Theory and Experiments," Acta Metall. Mater., 42, pp. 475-487.
4. Poole, W. J., Ashby, M. F. and Fleck, N. A., 1996, "Micro-Hardness of Annealed and Work-Hardened Copper Polycrystals," Scripta Metall. Mater., 34(4), pp. 559-564.
5. Stölken, J. S. and Evans, A. G., 1998, "A Microbend Test Method for Measuring the Plasticity Length Scale," Acta Metall. Mater., 46, pp. 5109-5115.
6. Lam, D. C. C. and Chong, A. C. M., 1999, "Indentation Model and Strain Gradient Plasticity Law for Glassy Polymers," J. Mater. Res., 14, pp. 3784-3788.
7. Chong, A. C. M. and Lam, D. C. C., 1999, "Strain Gradient Plasticity Effect in Indentation Hardness of Polymers," J. Mater. Res., 14, pp. 4103-4110.
8. Toupin, R. A., 1962, "Elastic Materials with Couple Stresses," Arch. Ration. Mech. Anal., 11, pp. 385-414.
9. Mindlin, R. D. and Tiersten, H. F., 1962, "Effects of Couple-Stresses in Linear Elasticity," Arch. Ration. Mech. Anal., 11, pp. 415-448.
10. Koiter, W. T., 1964, "Couple Stresses in the Theory of Elasticity. I and II," Proc. K. Ned. Akad. Wet. (B), 67, pp. 17-44.
11. Mindlin, R. D., 1964, "Micro-Structure in Linear Elasticity," Arch. Ration. Mech. Anal., 16, pp. 51-78.
12. Mindlin, R. D., 1965, "Second Gradient of Strain and Surface Tension in Linear Elasticity," Int. J. Solids Struct., 1, pp. 417-438.
13. Fleck, N. A. and Hutchinson, J. W., 1997, "Strain Gradient Plasticity," Advances in Applied Mechanics, Hutchinson, J. W. and Wu, T. Y. Eds., Academic Press, New York, 33, pp. 295-361.
14. Yang, F., Chong, A. C. M., Lam, D. C. C. and Tong, P., 2002, "Couple Stress Based Strain Gradient Theory for Elasticity." To be published in Int. J. Solids Struct.
15. Yang, F., Chong, A. C. M., Lam, D. C. C. and Tong, P., 2002, "Elastic Theory for Nano- and Micron-Scaled Structures," To be submitted to J. Mech. Phys. Solids.
16. Fung Y. C. and Tong P., 2001, Classical and Computational Solid Mechanics, World Scientific Publishing Co. Pte. Ltd., Singapore.
17. Tong, P., F. Yang, D.C.C Lam and J. Wang, "Dual formulations of stiffening of micron/nano bars in torsion to be published