
Three Dimensional FEA Simulation of Nonuniform Deformation in
Ductile Single Crystals
Fen Lu, Zhang Keshi, Zhang Gang
(Dept. of Engineering Mechanics, Northwestern Polytechnic University, Xi'an, 710072)
Abstract: Nonuniform deformations of ductile single crystals subject to tensile loading are simulated by using three dimensional finite element methods. Rateª²dependent crystal plasticity model together with a new time integration algorithm has been implemented into ABAQUS6.1 finite element software. The
feature of this algorithm is that an evolution equation for the crystal elastic
deformation gradient is obtained from crystal kinematics, and an implicit scheme integrates this equation. A new constitutive matrix is presented. It is shown
that constitutive matrix updating this way yields significant reduction in computational time. In simulation twelve possible slip systems for FCC single crystals are considered during practical deformations. Nonuniform deformations such as
strain localization and necking are simulated rationally and really.
Keywords: Viscocrystal plasticity, nonuniform deformation, multiple slip activate, integration algorithm, constitutive matrix.