A grain boundary model for gradient-extended geometrically nonlinear crystal plasticity: Theory and numerics

2019 ◽  
Vol 118 ◽  
pp. 17-35 ◽  
Author(s):  
Atefeh Alipour ◽  
Stefanie Reese ◽  
Stephan Wulfinghoff
Keyword(s):  
Grain Boundary ◽  
Crystal Plasticity ◽  
Nonlinear Crystal ◽  
Plasticity Theory ◽  
Geometrically Nonlinear ◽  
Crystal Plasticity Theory ◽  
Boundary Model

Simulation of Crack Tip Plasticity Using 3D Crystal Plasticity Theory

2011 ◽  
Vol 291-294 ◽  
pp. 1057-1061
Author(s):  
Wen Hui Liu ◽  
Hao Huang ◽  
Zhi Gang Chen ◽  
Da Tian Cui
Keyword(s):  
Finite Element ◽  
Grain Boundary ◽  
Crystal Plasticity ◽  
Three Dimensional ◽  
Crack Tip ◽  
Plasticity Theory ◽  
Plastic Work ◽  
High Angle ◽  
Rate Dependent ◽  
Crystal Plasticity Theory

To investigate the plasticity distribution of microstructurally small crack tip in FCC crystals, the crack tip opening displacment(CTOD), crack tip plastic zone and maximum plastic work for stationary microstructurally small cracks were calculated with the three dimensional crystal plasticity finite element theory, which was implemented in the finite element code ABAQUS with the rate dependent crystal plasticity theory code as user material subroutine. Results show that crystallographic orientation has significant influence on CTOD and maximum plastic work. The CTOD and maximum plastic work in hard orientation are larger than that in soft orientaion under the displacement controlled boundary condition, which means that crack in hard orientation is more likely to extend than that in soft orientaion. The high-angle grain boundary shows a tendency to reduce crack extension, and the dislocation ahead of the crack tip becomes blocked by high-angle grain boundary.

scholarly journals A grain boundary model considering the grain misorientation within a geometrically nonlinear gradient-extended crystal viscoplasticity theory

2020 ◽  
Vol 476 (2235) ◽  
pp. 20190581
Author(s):  
Atefeh Alipour ◽  
Stefanie Reese ◽  
Bob Svendsen ◽  
Stephan Wulfinghoff
Keyword(s):  
Free Energy ◽  
Grain Boundary ◽  
Grain Boundaries ◽  
Nonlinear Crystal ◽  
Geometrically Nonlinear ◽  
Two Dimensional ◽  
Boundary Model ◽  
Grain Misorientation ◽  
Dislocation Density Tensor ◽  
Boundary Strength

The main goal of the current work is to present a grain boundary model based on the mismatch between adjacent grains in a geometrically nonlinear crystal viscoplasticity framework including the effect of the dislocation density tensor. To this end, the geometrically nonlinear crystal viscoplasticity theory by Alipour et al. (Alipour A et al . 2019 Int. J. Plast. 118 , 17–35. ( doi:10.1016/j.ijplas.2019.01.009 )) is extended by a more complex free energy and a geometrical transmissibility parameter is used to evaluate the dislocation transmission at the grain boundaries which includes the orientations of slip directions and slip plane normals. Then, the grain boundary strength is evaluated based on the misorientation between neighbouring grains using the transmissibility parameter. In some examples, the effect of mismatch in adjacent grains on the grain boundary strength, the dislocation transmission at the grain boundaries and the Hall–Petch slope is discussed by a comparison of two-dimensional random-oriented polycrystals and textured polycrystals under shear deformation.

Asymmetric crystal plasticity theory for the evolution of polycrystal microstructures

2012 ◽  
Vol 15 (1-2) ◽  
pp. 58-68 ◽  
Author(s):  
Peter V. Trusov ◽  
P. S. Volegov ◽  
A. Yu. Yants
Keyword(s):  
Crystal Plasticity ◽  
Plasticity Theory ◽  
Crystal Plasticity Theory
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