Research Papers

A Simple and Efficient Reformulation of the Classical Manson–Coffin Curve to Predict Lifetime Under Multiaxial Fatigue Loading—Part II: Notches

[+] Author and Article Information
Luca Susmel

Department of Engineering, University of Ferrara, Via Saragat, 1 44100 Ferrara Italy

Giovanni Meneghetti, Bruno Atzori

Department of Mechanical Engineering, University of Padova, Via Venezia, 1 35100 Padova Italy

J. Eng. Mater. Technol 131(2), 021010 (Mar 09, 2009) (8 pages) doi:10.1115/1.3078299 History: Received July 01, 2008; Revised December 05, 2008; Published March 09, 2009

The present study is concerned with the use of the modified Manson–Coffin curve method to estimate the lifetime of notched components subjected to multiaxial cyclic loading. The above criterion postulates that fatigue strength under complex loading paths can efficiently be evaluated in terms of maximum shear strain amplitude, provided that the reference Manson–Coffin curve used to predict the number of cycles to failure is defined by taking into account the actual degree of multiaxiality/nonproportionality of the stress/strain state damaging the assumed crack initiation site. The accuracy and reliability of the above fatigue life estimation technique was checked by considering about 300 experimental results taken from the literature. Such data were generated by testing notched cylindrical samples made of four different metallic materials and subjected to in-phase and out-of-phase biaxial nominal loading. The accuracy of our criterion in taking into account the presence of nonzero mean stresses was also investigated in depth. To calculate the stress/strain quantities needed for the in-field use of the modified Manson–Coffin curve method, notch root stresses and strains were estimated by using not only the well-known analytical tool due to Köttgen (1995, “Pseudo Stress and Pseudo Strain Based Approaches to Multiaxial Notch Analysis,” Fatigue Fract. Eng. Mater. Struct., 18(9), pp. 981–1006) (applied along with the ratchetting plasticity model devised by Jiang and Sehitoglu (1996, “Modelling of Cyclic Ratchetting Plasticity, Part I: Development and Constitutive Relations. Transactions of the ASME,” ASME J. Appl. Mech., 63, pp. 720–725; 1996, “Modelling of Cyclic Ratchetting Plasticity, Part I: Development and Constitutive Relations,” Trans. ASME J. Appl. Mech., 63, pp. 720–725)) but also by taking full advantage of the finite element method to perform some calibration analyses. The systematic use of our approach was seen to result in estimates falling within an error factor of about 3.

Copyright © 2009 by American Society of Mechanical Engineers
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Figure 1

(a) Frame of reference Oxyz at the assumed crack initiation point and nominal net stress components; (b) determination of the critical plane in the presence of tridimensional stress concentration phenomena

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Figure 2

Modified Manson–Coffin diagram

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Figure 3

In-field use of the MMCCM to estimate the fatigue lifetime of notched components subjected to multiaxial cyclic loading

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Figure 4

Geometries of the investigated samples (dimensions in millimeters)

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Figure 5

Loading paths investigated by Yip and Jen (31)

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Figure 6

MMCCM’s accuracy in estimating the lifetime under multiaxial fatigue loading of the considered notched samples




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