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.

scholarly journals Strain gradient plasticity under non-proportional loading

2014 ◽  
Vol 470 (2170) ◽  
pp. 20140267 ◽  
Author(s):  
N. A. Fleck ◽  
J. W. Hutchinson ◽  
J. R. Willis
Keyword(s):  
Plastic Flow ◽  
Strain Gradient ◽  
Strain Gradient Plasticity ◽  
The Other ◽  
Critical Examination ◽  
Plastic Range ◽  
Gradient Plasticity ◽  
Proportional Loading

A critical examination is made of two classes of strain gradient plasticity theories currently available for studying micrometre-scale plasticity. One class is characterized by certain stress quantities expressed in terms of increments of strains and their gradients, whereas the other class employs incremental relationships between all stress quantities and the increments of strains and their gradients. The specific versions of the theories examined coincide for proportional straining. Implications stemming from the differences in formulation of the two classes of theories are explored for two basic examples having non-proportional loading: (i) a layer deformed into the plastic range by tensile stretch with no constraint on plastic flow at the surfaces followed by further stretch with plastic flow constrained at the surfaces and (ii) a layer deformed into the plastic range by tensile stretch followed by bending. The marked difference in predictions by the two theories suggests that critical experiments will be able to distinguish between them.

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