Tension-Compression Asymmetry in Plasticity Modeling of a Single Crystal Superalloy Using a "Unit Cell" Approach

Abstract:

The [001] tensile and compressive flow behavior of a single crystal superalloy CMSX-4 was simulated using a “unit-cell” mesh to represent the γ/γ′ microstructure. The simulation results showed a tension-compression (T-C) asymmetry, where the magnitude of the flow stress is larger in the elastic-plastic transition regime in tension, and is larger in compression in the plastic (flow softening) regime. The T-C flow behavior was related to the flow response of the γ-phase matrix under the geometric and kinematic constraint of the γ/γ′ unit cell.

• Periodical: Materials Science Forum (Volumes 475-479)
• Pages: 3295-3298
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.475-479.3295
• Online since: January 2005
• Authors: Y.S. Choi, T.A. Parthasarathy, D.M. Dimiduk, M.D. Uchic
• Keywords: Geometric Constraint, Gradient-Dependent Plasticity, Single Crystal Superalloy, Tension-Compression Asymmetry, Unit Cell

References

[1] Y.S. Choi, T.A. Parthasarathy, D.M. Dimiduk and M.D. Uchic: Manuscript in preparation.

[2] F. Jiao, D. Bettge, W. Österle and J. Ziebs: Acta Mater. Vol. 44 (1996), p.3933.

[3] C.D. Allan: Ph.D. Thesis, Dept. of Mech. Eng., MIT (1995).

[4] A. Acharya and A.J. Beaudoin: J. Mech. Phys. Solids Vol. 48 (2000), p.2213 γ γ' [100].

[10] .

[1] Figure 1. Representation of the γ/γ' microstructure in a unit cell.

0E+00.

[2] 0E+08.

[4] 0E+08.

[6] 0E+08.

[8] 0E+08.

[1] 0E+09.

[1] 2E+09 0 0. 005 0. 01 0. 015 0. 02 0. 025 0. 03 σ[001] (Pa) ε[001] -- σ[001] Compression - σ[001] Tension Figure 2. The simulated T-C flow curves.

0E+00.

[2] 0E+07.

[4] 0E+07.

[6] 0E+07.

[8] 0E+07.

[1] 0E+08.

[1] 2E+08.

[1] 4E+08 0 0. 005 0. 01 0. 015 0. 02 0. 025 0. 03.

0E+00.

[2] 0E+08.

[4] 0E+08.

[6] 0E+08.

[8] 0E+08.

[1] 0E+09.

[1] 2E+09.

[1] 4E+09.

[1] 6E+09 0 0. 005 0. 01 0. 015 0. 02 0. 025 0. 03 |σ33| σ (Pa) ε[001] |σ11| |σ13| |σ12| -- Compression - Tension |σ33| σ (Pa) ε[001] |σ11| |σ13| |σ12| -- Compression - Tension Figure 3. Variations of stress components for the vertical γ channels Figure 4. Variations of stress components for the horizontal γ channels γ' γ' (a) (b) (a) (b) Figure 5. The γ/γ' deformed mesh geometries at 3% strain: (a) for tension and (b) for compression Figure 6. 3D contour plots of accumulated shear at 2. 68% strain: (a) for tension and (b) for compression.

DOI: 10.7717/peerj.9349/fig-8

[100] .

[10] .

[1] .