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ASTM Selected Technical Papers
Multiaxial Fatigue
By
KJ Miller
KJ Miller
1Department of Mechanical Engineering,
University of Sheffield
,
Sheffield,
U.K.
symposium chairmen and editors
.
Search for other works by this author on:
MW Brown
MW Brown
2Department of Mechanical Engineering,
University of Sheffield
,
Sheffield,
U.K.
symposium chairmen and editors
.
Search for other works by this author on:
ISBN-10:
0-8031-0444-8
ISBN:
978-0-8031-0444-0
No. of Pages:
751
Publisher:
ASTM International
Publication date:
1985

Three-dimensional stress-strain fields are routinely determined for complex components using elastic and elastic-plastic finite element models. Although the local stress-strain response can be easily determined, the proper approach to strain based multiaxial fatigue analysis is not clear. Several multiaxial fatigue theories have been suggested, but there exists a lack of consensus on which model is most appropriate. To clarify the situation, experiments have been performed on two different multiaxial specimen geometries. Results are compared with theoretical predictions.

Thin-walled tube specimens have been tested using combined in-phase tension-torsion loading. This specimen geometry has a simple uniform stress-strain state. Tests were also performed using a solid notched shaft specimen subjected to inphase torsion-bending loads. Stress-strain gradients exist in the notch root. Local multiaxial stress-strain fields were determined using an elastic-plastic finite element model.

Five current multiaxial strain based fatigue theories have been developed to correlate the experimental results. Fatigue life estimates were based upon uniaxial strain controlled fatigue data.

Correlations for the thin-walled tube test series were within a factor of 3 in fatigue life. For the notched shaft specimen with the more complex stress-strain state, life estimates were in error by a factor of 10 in fatigue life. This suggests that the effects of geometry are as important as the selection of the fatigue theory. Much additional work needs to be done to understand the effect of notches in multiaxial fatigue before these methods can be routinely implemented by designers.

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,
Society of Automotive Engineers
, Vol.
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,
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,
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and
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,
D. R.
, “
A Fatigue Test Program for a Notched Round Component
,”
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,
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3.
Krempl
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,
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, ASTM STP 549,
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,
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,
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.
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Garud
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,
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, No.
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,
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Brown
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, and
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,
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,
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, ASTM STP 770,
American Society for Testing and Materials
,
Philadelphia
,
1982
, pp. 482-499.
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Lohr
,
R. D.
and
Ellison
,
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,
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, Vol.
3
,
1980
, pp. 1-17.
7.
Kandil
,
F. A.
,
Brown
,
M. W.
, and
Miller
,
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,
Biaxial Low-Cycle Fatigue Fracture of 316 Stainless Steel at Elevated Temperatures
, Book 280,
The Metals Society
,
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,
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and
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ABAQUS Finite Element Code, Hibbitt, Karlsson, and Sorenson, Inc.
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.
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