Abstract
A new device was developed to assess fatigue life under biaxial tensile loading at elevated temperatures. It makes use of an annular disk specimen and can be easily mounted onto a standard push-pull machine so that the axial force is converted into radial forces extending across the disk specimen. Therefore, a positive ratio of the tangential to the radial stress can be imposed at the reduced section of the disk specimen; this ratio depends on the specimen configuration and may be fixed to a value ranging from 0.5 to 0.9 by varying the inner diameter of the disk. The proposed device has performed successfully and was used to study the cyclic behavior of Type-304 stainless steel subjected to various biaxial tensile stress states at room temperature and at 200°C. The data obtained from this experimental procedure have been analyzed to evaluate the effectiveness of some correlations already available for treating the biaxial cyclic stress-strain response in terms of the uniaxial behavior. This analysis shows that a successful correlation should account for all the stress components. The authors discuss the concept used in the modeling of the material cyclic behavior and the formulation of a biaxial fatigue damage parameter necessary for an effective analytical life prediction methodology.
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Abbreviations
- a :
-
characteristic radial length in the gage section of the disk specimen
- E :
-
elastic modulus
- F, F1, F2 :
-
axial loads
- K, K′ :
-
monotonic and cyclic strain-hardening coefficients
- M b :
-
bending moment
- M t :
-
torsion moment
- n, n′ :
-
monotonic and cyclic strain-hardening exponents
- P :
-
internal/external pressure
- R :
-
load ratio (ratio between the minimum and maximum applied load)
- R b :
-
disk bore radius
- (r, θ,z):
-
cylindrical coordinates
- T :
-
test temperature
- x :
-
radial distance from the center of the gage section
- ∈ eq :
-
von Mises equivalent strain
- ∈ r :
-
radial strain
- ∈ θ :
-
tangential strain
- ∈ z :
-
axial strain
- Υ eq :
-
Tresca equivalent strain or maximum shear strain
- ν:
-
Poisson's ratio
- ρ:
-
biaxial stress ratio (ρ= σ θ /σ r )
- σ1σ2 :
-
in-plane maximum and minimum principal stresses
- σ eq :
-
von Mises equivalent stress
- (σ Misses )max:
-
maximum von Mises stress in the specimen
- σ r :
-
radial stress
- σ rz ,σθz, σ xz :
-
shear stresses
- σθ :
-
tangential stress
- σ u :
-
ultimate tensile stress
- σ x ,σ z :
-
axial stress
- σ y :
-
yield stress
- τ eq :
-
Tresca equivalent stress or maximum shear stress
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Zouani, A., Bui-Quoc, T. & Bernard, M. Cyclic stress-strain data analysis under biaxial tensile stress state. Experimental Mechanics 39, 92–102 (1999). https://doi.org/10.1007/BF02331111
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DOI: https://doi.org/10.1007/BF02331111