Continuum Physics by A.Cemal Eringen

By A.Cemal Eringen

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J. Solids Struct. 48, 3499–3509 (2011) 9. : Finite element approximation of field dislocation mechanics. J. Mech. Phys. Solids 53(1), 143–170 (2005) 10. : The indentation size effect in the spherical indentation of iridium: a study via the conventional theory of mechanism-based strain gradient plasticity. Int. J. Plast. 22(7), 1265–1286 (2006) 11. : The correlation of the indentation size effect measured with indenters of various shapes. J. Mech. Phys. Solids 50(4), 681–694 (2002) 40 M. Demiral et al.

3D elastic–viscoplastic enhanced modelling of strain-gradient crystal-plasticity (EMSGCP) (its details are given in Sect. 2) FE model for nano-indentation of Ti alloy to demonstrate the influence of strain gradients on the resulting deformation patterns. The study demonstrated that the introduction of strain gradients changed the activity of the slip systems as well as a relative contribution to the overall plastic slip. The EMSGCP theory predicted that plasticity occurred due to activity of multiple slip systems when compared to that of the CP theory.

This method was specifically designed to probe mechanical properties as a function of the decreasing sample size. Later this technique was extended by [16] to perform uniaxial compression tests on Au nanopillars. Uchic et al. [14] tested three different materials with a pillar size from 1 to 40 μm: Ni, Ni3Al-1 %Ta and a Ni-based super alloy with a (269) orientation. These experiments showed an increase in the strength of crystals by up to 15 times compared to bulk Ni with a decrease in the sample size.

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