J M Gerken and P R Dawson 2007 Modelling Simul. Mater. Sci. Eng. 15 799 doi:10.1088/0965-0393/15/7/007
J M Gerken1 and P R Dawson2
Show affiliationsThe simulation of the cyclic bending of a single crystal thin foil is presented. The simulations demonstrate a constitutive model that incorporates the effects of geometrically necessary dislocations that accompany slip gradients and includes a slip gradient proportional hardness and energetically conjugate long range stresses and strains proportional to the second gradient of slip. Results are presented for three cycles of bending and straightening for foil thicknesses of 25, 50 and 100 µm. Various combinations of the gradient hardness coefficient and the long range strain length parameter are examined. The results show an isotropic type hardening behavior due to the gradient hardness and a kinematic type hardening behavior due to the long range strains. Comparing the results from the three different thickness specimens shows an obvious decrease in the effects of the gradient hardness and the long range strain with an increase in the foil thickness.
62.20.F- Deformation and plasticity
81.40.Np Fatigue, corrosion fatigue, embrittlement, cracking, fracture, and failure
Issue 7 (October 2007)
Received 9 January 2007, in final form 15 August 2007
Published 4 October 2007
J M Gerken and P R Dawson 2007 Modelling Simul. Mater. Sci. Eng. 15 799
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