An effective semi-implicit integration scheme for rate dependent crystal plasticity using explicit finite element codes

► We present a semi-implicit integration algorithm for rate dependent crystal plasticity. ► A modified hyperelastic frame is adopted to treat the lattice spin. ► The algorithm combines with explicit FEM solvers shows good overall performance. ► The simulations of ODF and cup deep drawing show good a...

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Bibliographic Details
Published in:Computational materials science Vol. 54; pp. 208 - 218
Main Authors: Zhang, Haiming, Dong, Xianghuai, Wang, Qian, Zeng, Zhen
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 01.03.2012
Elsevier
Subjects:
Algorithms
Applied sciences
Computer simulation
Crystal plasticity
Crystals
Exact sciences and technology
Explicit FEM
Finite element method
Forming
Mathematical models
Metals. Metallurgy
Plasticity
Production techniques
Semi-implicit integration scheme
Sheet metal forming
Tangent modulus
Texture
Crystal plasticity
Explicit FEM
Sheet metal forming
Semi-implicit integration scheme
Forming
Aluminium
Deep drawing
Numerical method
Coordinate system
Texture
EBSD
Finite element method
Three dimensional model
Plasticity theory
Hypoelasticity
ISSN:0927-0256, 1879-0801
Online Access:Get full text
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Summary:► We present a semi-implicit integration algorithm for rate dependent crystal plasticity. ► A modified hyperelastic frame is adopted to treat the lattice spin. ► The algorithm combines with explicit FEM solvers shows good overall performance. ► The simulations of ODF and cup deep drawing show good agreements with experiments. A semi-implicit integration scheme for rate dependent crystal plasticity is developed in this work; the algorithm is similar as the classical tangent modulus method. A modified hyperelastic frame is adopted to circumvent the troublesome incremental objectivity encountered by the hypoelastic crystal plasticity models, especially when Green–Naghdi material co-rotational coordinate system (MCCS) is introduced. The algorithm combines the advantages of the tangent modulus method and the hyperelastic frame. It provides a straightforward and efficient way to treat the grain rotation under the MCCS, and the reliability is tested by the ODF simulation compared with orientations obtained by electron backscatter diffraction (EBSD). Numerical tests show that the cost and accuracy are close to the forward Euler and implicit algorithm under large time step, its cost is also less than tangent modulus method. This algorithm is implemented into ABAQUS/Explicit to simulate deep drawing of aluminum alloy sheets with two kinds of different initial textures. The predication of the earing profiles shows good agreement with the experimental results, and it is also found that the current model is considerable fast. The current algorithm shows good performance in the simulation of complex sheet metal forming under explicit FEM codes.
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ISSN:0927-0256
1879-0801
DOI:10.1016/j.commatsci.2011.10.011