Strain gradient plasticity modeling and finite element simulation of Lüders band formation and propagation

2013 ◽  
Vol 27 (1-2) ◽  
pp. 83-104 ◽  
Author(s):  
Matthieu Mazière ◽  
Samuel Forest
Keyword(s):  
Finite Element ◽  
Finite Element Simulation ◽  
Strain Gradient ◽  
Strain Gradient Plasticity ◽  
Gradient Plasticity ◽  
Band Formation ◽  
Element Simulation ◽  
Lüders Band

Strain Gradient Plasticity: An Application to Plastic Flow Localization Analysis

2016 ◽  
Vol 725 ◽  
pp. 41-46
Author(s):  
Mitsutoshi Kuroda
Keyword(s):  
Finite Element ◽  
Plastic Flow ◽  
Strain Gradient ◽  
Strain Gradient Plasticity ◽  
Gradient Plasticity ◽  
Flow Localization ◽  
Element Analysis ◽  
Plastic Flow Localization ◽  
Plane Strain Tension ◽  
Localization Analysis

In this paper, strain gradient plasticity theory is extended to include the corner-like effect that is inherent in crystal plasticity. The predictive feature of the extended theory is examined via finite element analysis of a constrained simple shear problem and a plane-strain tension problem involving plastic flow localization. Numerical issues with respect to finite element formulations are also discussed.

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.

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