کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1561871 | 999574 | 2012 | 7 صفحه PDF | دانلود رایگان |

In this study, an implicit iterative finite element scheme is developed for the strain gradient theory of single-crystal plasticity that accounts for the self-energy of geometrically necessary dislocations (GNDs). This strain gradient theory belongs to the Gurtin framework for viscoplastic single-crystals. The self-energy of GNDs gives a specific form of energetic higher-order stresses. An implicit finite element equation is obtained for solving a set of homogenization equations. The developed scheme is employed to analyze a model grain, and is verified by comparison with the analytical estimation derived by Ohno and Okumura (2007) [4]. The computational efficiency of the scheme and the incremental stability are discussed. Furthermore, it is shown that the developed scheme is available and applicable to different types of higher-order stresses including energetic and dissipative terms.
► We review a strain gradient plasticity model based on the self-energy of GNDs.
► For this model, an implicit iterative finite element scheme is developed.
► This scheme is applied to the analysis of a model grain.
► The verification is achieved by comparison with the analytical estimation.
► The excellent incremental stability and the high computational efficiency are shown.
Journal: Computational Materials Science - Volume 53, Issue 1, February 2012, Pages 53–59