A Theory for Fatigue Failure under Multiaxial Stress-Strain Conditions

Brown, M. W.; Miller, K. J.

doi:10.1243/pime_proc_1973_187_069_02

Cited by 336 publications

(214 citation statements)

References 19 publications

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“…The equation is used as the basis to establish the following multiaxial fatigue model. The critical plane theory proposed by Brown and Miller [5] stated that a constant fatigue life contour can be represented on the a Γ plane by a curve of the maximum shear strain γ max versus the tensile strain ε n normal to the maximum shear plane. Kandil, Brown, and Miller [6] proposed a specific form as follows:…”

Section: Multiaixal Fatigue Criteriamentioning

confidence: 99%

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Multiaxial fatigue life prediction of kiln roller under axis line deflection

Shen

Wang

et al. 2010

Appl. Math. Mech.-Engl. Ed.

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This paper investigates the multiaxial fatigue life of the roller in rolling contact with wheels with respect to axis line deflection. The multiaxial fatigue criteria proposed by Wang and Brown, together with the rainflow counting method and MinerPalmgren's rule, are applied to the cumulative damage estimation and life prediction. As the axis line deflection of overlong kilns generally results in asymmetric load distribution on each roller, the load ratio is introduced to describe the deflection for quantitative stress analyses. The stress analyses are performed within the finite element code ANSYS. The tangential friction stress is calculated in terms of the condition of the rolling contact area. By taking one roller as an example, the plotted fatigue life versus load ratio curve discovers how the axis line deflection affects the fatigue life. This study is significant to prevent the fatigue failure of the roller and can provide basis to adjust and optimize the axis line of the rotary kiln.

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Section: Multiaixal Fatigue Criteriamentioning

confidence: 99%

“…However, there is not an accepted unified model. The critical plane theory was first proposed by Brown and Miller [5] . Then, Kandi, Brown, and Miller proposed a specific form of the shear strain and the normal strain on the critical plane [6] , which is considered as a most common model.…”

Section: Introductionmentioning

confidence: 99%

Multiaxial fatigue life prediction of kiln roller under axis line deflection

Shen

Wang

et al. 2010

Appl. Math. Mech.-Engl. Ed.

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“…Equation (7) belongs to the more general class of Mohr-type approaches for flow and failure of frictional materials. With somewhat more emphasis on LCE Brown and Miller [46] proposed the a twoparameter approach, for a given fatigue life, where A~max and/ken are the ranges of maximum shear strain and normal strain to the plane of maximum range of shear strain, respectively, and fl and f2 are nonlinear functions of their arguments. With this set of independent variables, Brown and Miller were able to achieve correlation over a wide range of stress states for both Case A and Case B type cracking (Figure 24a), using distinct forms for the functions fl and f2 for each case.…”

Section: A Rrnax M Ao'nmentioning

confidence: 99%

Basic issues in the mechanics of high cycle metal fatigue

McDowell

1996

Int J Fract

159

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Mechanics issues related to the formation and growth of cracks ranging from subgrain dimension to up to the order of one mm are considered under high cycle fatigue (HCF) conditions for metallic materials. Further efforts to improve the accuracy of life estimation in the HCF regime must consider various factors that are not presently addressed by traditional linear elastic fracture mechanics (LEFM) approaches, nor by conventional HCF design tools such as the S-N curve, modified Goodman diagram and fatigue limit. A fundamental consideration is that a threshold level for AK for small/short cracks may be considerably lower than that for long cracks, leading to non-conservative life predictions using the traditional LEFM approach.Extension of damage tolerance concepts to lower length scales and small cracks relies critically on deeper understanding of (a) small crack behavior including interactions with microstructure, (b) heterogeneity and anisotropy of cyclic slip processes associated with the orientation distribution of grains, and (c) development of reliable small crack monitoring techniques. The basic technology is not yet sufficiently advanced in any of these areas to implement damage tolerant design for HCE The lack of consistency of existing crack initiation and fracture mechanics approaches for HCF leads to significant reservations concerning application of existing technology to damage tolerant design of aircraft gas turbine engines, for example. The intent of this paper is to focus on various aspects of the propagation of small cracks which merit further research to enhance the accuracy of HCF life prediction. Predominant concern will rest with polycrystalline metals, and most of the issues pertain to wide classes of alloys.

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“…are invariably located in a multiaxial strain field and such geometrical discontinuities can and do lead to fatigue failures. A recent theory has been proposed for multiaxial fatigue failure based on strain parameters [4], [5] and the present work is an attempt to understand fatigue crack growth in a biaxial stress-strain field of an elastic-plastic material using a finite elements program.…”

Section: Introdactionmentioning

confidence: 99%

An elastic-plastic finite element analysis of crack tip fields under biaxial loading conditions

Miller

Kfouri

1974

Int J Fract

Self Cite

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A square plate containing a central crack and subjected to biaxial stresses has been studied by a finite element analysis. An elastic analysis shows that the crack opening displacement and stress of separation ahead of the crack tip are not affected by the mode of biaxial loading and therefore the stress intensity factor adequately describes the crack tip states in an elastic continuum.An elastic-plastic analysis involving more than localized yielding at the crack tip provides different solutions of crack tip stress fields and crack face displacements for the different modes of biaxial loading.The equi-biaxial loading mode causes the greatest separation stress but the smallest plastic shear ear and crack displacement. The shear loading system induces the maximum size of shear ear and crack displacement but the smallest value of crack tip separation stress.

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A Theory for Fatigue Failure under Multiaxial Stress-Strain Conditions

Cited by 336 publications

References 19 publications

Multiaxial fatigue life prediction of kiln roller under axis line deflection

Multiaxial fatigue life prediction of kiln roller under axis line deflection

Basic issues in the mechanics of high cycle metal fatigue

An elastic-plastic finite element analysis of crack tip fields under biaxial loading conditions

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