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Research Papers

Two New Multiaxial HCF Criteria Based on Virtual Stress Amplitude and Virtual Mean Stress Concepts for Complicated Geometries and Random Nonproportional Loading Conditions

[+] Author and Article Information
M. Shariyat

Faculty of Mechanical Engineering, K. N. Toosi University of Technology, 19991-43344 Tehran, Iranm_shariyat@yahoo.com and shariyat@kntu.ac.ir

J. Eng. Mater. Technol 131(3), 031014 (Jun 04, 2009) (13 pages) doi:10.1115/1.3086387 History: Received August 21, 2008; Revised January 21, 2009; Published June 04, 2009

Almost all of the available multiaxial high cycle fatigue (HCF) criteria are proposed based on definition of an equivalent stress expression that is a modified version of a static equivalent stress definition or a static yield function. All the equivalent stress expressions proposed so far in the fatigue analysis field have been expressed in semistationary forms wherein the global cyclic rather than the instantaneous changes are considered. In the present paper, a new technique for instantaneous fatigue equivalent stress definition is introduced based on new concepts of instantaneous (virtual) stress amplitude and instantaneous (virtual) mean stress. Then, new HCF criteria are proposed using two approaches: (1) polynomial approach and (2) integral approach, to overcome the shortcomings of the available criteria. A relevant fatigue life assessment algorithm is also proposed, and results of the available criteria are compared with results of the proposed criteria as well as the experimental results prepared by the author. To introduce a comprehensive study, the criteria are evaluated for components with complicated geometries under proportional, nonproportional, and random nonproportional loadings. Results reveal that predictions of the proposed approaches are more accurate.

FIGURES IN THIS ARTICLE
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Copyright © 2009 by American Society of Mechanical Engineers
Topics: Fatigue , Stress , Polynomials
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Figures

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Figure 1

A segment of a stress time history block

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Figure 2

Resolved shear and normal stresses acting on a representative sectional plane

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Figure 3

Life assessment algorithm of the HCF criteria proposed in the present paper

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Figure 4

Mean absolute error comparisons under different phase shifts for (a) hard steel, (b) 42CrMo4, (c) 34Cr4, and (d) 30NCD16

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Figure 5

A comparison among the predictions of the present criteria and experimental and theoretical results reported in Ref. 26

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Figure 6

A preliminary FEM analysis of the antiroll bar has specified the more critical elements of the component (as a first estimation) (a) based on the stress intensity and (b) based on preliminary results of a fatigue life assessment software (MSC FATIGUE )

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Figure 7

The second time history block of the opposite displacements applied on the antiroll bar component

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Figure 8

The random input employed to evaluate the HCF life results of the antiroll bar

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Figure 9

The full vehicle model

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Figure 10

Time histories of the load variations that are exerted from the rough road on the (a) front-right, (b) front-left, (c) rear-right, and (d) rear-left tiers

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