Investigations in Size Dependent Torsions and Fractures
Size effects of fine structures due to stain gradients were exhibited experimentally and theoretically in elastic bending of micrometer and nanometer size beams. The Saint-Venant torsion theory of cylinders are extended to explore the relationship between strain gradients and size dependent phenomena. The prediction of the extended torsion theory is in good agreement with experimental data. Furthermore, a higher order J-integral criterion for fracture, which accounts for strain gradients, and its application are reported.
Key wordsstrain gradients size dependence elasticity torsion fracture J integral
Unable to display preview. Download preview PDF.
- W. T. Koiter, “Couple stresses in the theory of elasticity. I and II.”, Proc. K. Ned. Akad. Wet (B), vol. 67, pp. 17–44, 1964.Google Scholar
- N. A. Fleck and J. W. Hutchinson, “Strain gradient plasticity”, In Advances in Applied Mechanics, 33, Hutchinson and T. Wu, Eds., Academic Press, NY, pp.295–361, 1997.Google Scholar
- D. C. C. Lam, F. Yang, A.C.M. Chong, J. Wang and P. Tong, “Experiments and theory in strain gradient elasticity”, submitted, 2002.Google Scholar
- D. C. C. Lam, F. Yang, P. Tong, A. C. M. Chong and J. Wang, “Size dependence in nanometer- and micron-scaled structures”, Chinese National Conference for Solid Mechanics, Dalian, China, August, 2002.Google Scholar