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Research Papers

A New Multiaxial Fatigue Life Prediction Model Under Proportional and Nonproportional Loading

[+] Author and Article Information
Jing Li

Department of Mathematics and Physics, The Science Institute, Air Force Engineering University, Xi’an 710051, Chinalijing02010303@163.com

Qiang Sun, Zhong-Ping Zhang, Chun-Wang Li, Dong-Wei Zhang

Department of Mathematics and Physics, The Science Institute, Air Force Engineering University, Xi’an 710051, China

J. Eng. Mater. Technol 132(2), 021016 (Mar 12, 2010) (8 pages) doi:10.1115/1.4000823 History: Received April 27, 2009; Revised October 21, 2009; Published March 12, 2010; Online March 12, 2010

Based on the critical plane approach, the drawbacks of the Wang–Brown (WB) model are analyzed. It is discovered that the normal strain excursion in the WB model cannot account for the additional cyclic hardening well. In order to solve this problem, a new damage parameter for multiaxial fatigue is proposed. In the meantime, the procedure for multiaxial fatigue life assessment incorporating critical plane damage model is presented as well. In the new damage parameter, both strain and stress components are considered, and the effect of the additional cyclic hardening on the fatigue life during nonproportional loading is taken into account as well. In addition, the proposed model is modified when the mean stress is existence. It is convenient for engineering application because of no material constants in this parameter. The capability of fatigue life assessment for the proposed fatigue damage model is checked against the experimental data found in literature for tubular specimens of 1045HR steel, hot-rolled 45 steel, S460N steel, GH4169 alloy at elevated temperature, and the notched shaft of SAE 1045 steel, which is under cyclic bending and torsion loading. It is demonstrated that the proposed criterion gives satisfactory results for all the five checked materials.

Copyright © 2010 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

The stabilized cyclic stresses of 310 stainless steel as a function of the plastic strain amplitude (6)

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Figure 2

The stabilized cyclic stresses of aluminum as a function of the plastic strain amplitude (6)

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Figure 3

Correlation between the phase delay and the normal strain excursion εn∗ (Eq. 10)

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Figure 4

Correlation between the phase delay and the SW parameter (S=0.45)

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Figure 5

Correlation between the phase angle difference and the parameters on the Δγmax plane

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Figure 6

Correlation between the phase delay and the proposed damage parameter (Eq. 17)

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Figure 7

Predicted versus experimental lives for 1045HR steel (1)

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Figure 8

Predicted versus experimental lives for Hot-rolled 45 steel (18)

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Figure 9

Predicted versus experimental lives for S460N steel (19)

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Figure 10

Predicted versus experimental lives for GH4169 alloy (20)

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Figure 11

Geometry and dimensions of the SAE notched shaft specimen (21) (dimensions in millimeter)

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Figure 12

The strains acting on the candidate plane in three-dimensional coordinate systems

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Figure 13

Procedure for assessing fatigue life for notched shaft under multiaxial loading

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Figure 14

Predicted versus experimental lives for SAE 1045 steel (21)

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Figure 15

Fatigue life prediction of studied materials

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