ICME GRP2 HW3&4

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Abstract

Hardening parameters from dislocation dynamics are passed upwards to crystal plasticity. At the crystal plasticity scale, various textures, number of grains, and stress states were investigated in ABAQUS/Standard. The stress–strain curves from the crystal plasticity scale was passed to the macroscale (Internal State Variable Plasticity–Damage Modeling). Uncertainty was also considered.

Introduction

This page summaries a project which spans two length scales and crosses two bridges within the Integrated Computational Materials Engineering (ICME) paradigm. The two scales are the crystal plasticity scale and the macroscale. The bridges crossed are (1) the bridge between dislocation dynamics and crystal plasticity and (2) the bridge between crystal plasticity and the macroscale modeling scale.

Discussion

Deformed textures orientation distribution function of the 400 grain simulations for (a) compression, (b) tension, and (c) simple shear.
True von Mises stress-strain relationship in for 400 grains in (a) compression, (b) simple shear, and (c) tension
Stress-strain calibration results for the macroscale internal state variable (ISV) model with the crystal plasticity data. Note that only every fifth marker of the crystal plasticity data is shown for the sake of brevity.

Hardening parameters were taken from Groh[1]as shown below.

Case κs κ0 h0
1 47.75 3.36 29.56
2 49.10 3.39 25.83
3 48.84 3.38 27.06
4 46.75 3.29 34.98

These cases used for three one element ABAQUS/Standard simulation (for three stress state: tension, compression, simple shear). Also, for the one element, 1 grain, 20 grains, and 400 grains were analyzed. The stress-strain results and deformed pole figures to the right.

The stress strain curves were then imported into [DMG Fit] thus calibrating constants. Using ABAQUS/Standard, a one element tension simulation was run using the MSU Internal State Variable Plasticity–Damage Model to verify the paratermeter found in DMGFit. The comparison if shown to the right.

The parameters determined in DMGFit are shown below. Any parameter not listed is assumed zero.

Parameter Average Lower Bound Upper Bound
Young's Modulus 68970 68970 68970
Poisson's Ratio 0.33 0.33 0.33
C3 6 6 6
C5 1 1 1
C7 0.016 0.014 0.019
C9 191.415 180 225
C13 6 10 8
C15 400 300 475

References

  1. S. Groh, E.B. Marin, M.F. Horstemeyer, and H.M. Zbib. Multiscale modeling of the plasticity in an aluminum single crystal. International Journal of Plasticity, 25(8):1456-1473, 2009.
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