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Experimental Mechanics

, Volume 22, Issue 5, pp 180–187 | Cite as

Cumulative damage with interaction effect due to fatigue under torsion loading

An analysis of the interaction effect on the basis of a continuous-damage concept is made using published test results obtained from two-step fatigue tests at room temperature
  • Thang Bui-Quoc
Article

Abstract

The cumulative-fatigue damage concept previously developed by means of the test results obtained under axial loading is adapted for the cyclic-torsion case. The development allows one to establish the fatigue diagram (shear strain versus cycles at failure) and to calculate the remaining life under several level straining. As the damage function is strain dependent, the predictions are different from those given by the linear-damage rule.

An interaction effect between strain levels is considered to explain the strong deviation of the sums of cycle-ratios from unity. Empirical relations have been established for taking into account this effect. Essentially, this approach gives a theoretical sum of cycle-ratios greater than unity for two increasing strains; this sum is smaller than unity for the opposite case. The correlation between estimates and some published test results (torsion and axial straining) is then discussed.

Keywords

Fatigue Mechanical Engineer Interaction Effect Fluid Dynamics Shear Strain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of Symbols

K, c, d, m

material constants

D

damage

n

number of applied cycles

N

number of cycles at failure

N*

number of cycles at failure corresponding to σ*

\(\overline N \)

revised value ofN due to interaction-effect consideration

σ

stress amplitude

σ*

characteristic stress amplitude

β

cycle-ratio (=n/N)

Δγ

total shear-strain range

Δγr

reference shear-strain range

Δγe

fatigue strength associated with Δγ r

γf

shear strain corresponding to static failure under a torsion test

λ

1 +ℓn(Δγ/Δγ r )

λf

1 +ℓn(2γ f /Δγ r )

λe

1 +ℓn(Δγ e /Δγ r )

λf*

λ f m/(m-1)

λe*

(λ/λ f ) m

Δλ

2−λ1|

Δλ*
$$\left\{ {_{\lambda _1 - 1 for decreasing strains}^{\lambda _f ^* - \lambda _1 for increasing strains} } \right.$$
1

associated with first strain level

2

associated with second strain level

o

original value

f

final value

associated with interaction-effect consideration

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Copyright information

© Society for Experimental Mechanics, Inc. 1982

Authors and Affiliations

  • Thang Bui-Quoc
    • 1
  1. 1.Ecole PolytechniqueMontrealCanada

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