Analysis of size effects associated to the transformation strain in TRIP steels with strain gradient plasticity

2010 ◽  
Vol 29 (2) ◽  
pp. 132-142 ◽  
Author(s):  
L. Mazzoni-Leduc ◽  
T. Pardoen ◽  
T.J. Massart
Keyword(s):  
Strain Gradient ◽  
Size Effects ◽  
Transformation Strain ◽  
Strain Gradient Plasticity ◽  
Gradient Plasticity ◽  
Trip Steels

Low Order Finite Element Modeling of Size Effects in Micro Structured Materials Based on Strain Gradient Plasticity

2011 ◽  
Author(s):  
Moon Shik Park ◽  
Yeong Sung Suh ◽  
Seung Song
Keyword(s):  
Finite Element ◽  
Strain Gradient ◽  
Size Effects ◽  
Strain Gradient Plasticity ◽  
Dislocation Model ◽  
Gradient Plasticity ◽  
Structured Materials ◽  
Close Proximity ◽  
Micro Indentation ◽  
Low Order

A low order finite element method using theory of strain gradient plasticity along with Taylor dislocation model was developed to evaluate size effects occurring in micro structured materials. The gradient is evaluated in the framework of nonlinear incremental analysis where plastic strains are calculated and averaged at nodes then interpolated and differentiated. The proposed method was verified by solving typical size effect problems such as micro-bending, micro-indentation, and tensile test of a particle-reinforced metal matrix composite. The predicted results show clear length scale effect and close proximity to the respective experimental results.

Questioning size effects as predicted by strain gradient plasticity

2013 ◽  
Vol 22 (3-4) ◽  
pp. 101-110 ◽  
Author(s):  
Samuel Forest
Keyword(s):  
Strain Gradient ◽  
Size Effects ◽  
Shear Loading ◽  
Strain Gradient Plasticity ◽  
Point Of View ◽  
Plastic Behavior ◽  
Gradient Plasticity ◽  
Two Phase ◽  
Elastic Plastic ◽  
The Individual

AbstractThe analytical solution of the elastic-plastic response of a two-phase laminate microstructure subjected to periodic simple shear loading conditions is derived considering strain gradient and micromorphic plasticity models successively. One phase remains purely elastic, whereas the second one displays an isotropic elastic-plastic behavior. Although no classic hardening is introduced at the individual phase level, the laminate is shown to exhibit an overall linear hardening scaling with the inverse of the square of the cell size. The micromorphic model leads to a saturation of the hardening at small length scales in contrast to Aifantis strain gradient plasticity model displaying unlimited hardening. The models deliver qualitatively relevant size effects from the physical metallurgical point of view, but fundamental quantitative discrepancy is pointed out and discussed, thus requiring the development of more realistic nonlinear equations in strain gradient plasticity.

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