Low-cycle fatigue behavior and life prediction of CP-Ti under non-proportional and multiaxial loading

Ma, Tian‐Hao; Gao, Ning; Chang, Le; He, Xin; Zhou, Changyu

doi:10.1016/j.engfracmech.2021.107930

Cited by 18 publications

(17 citation statements)

References 36 publications

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“…where ν is the mean of X i and δ is the standard deviation of X i . The mean and standard deviation calculated by Equations 22-24 are brought into equation 25 to obtain the probability density function plot. The normal distribution of life prediction errors for two materials En8 and GH4169 with different notch radius are shown in Figure 13.…”

Section: Analysis and Discussionmentioning

confidence: 99%

“…Socie 24 conducted an early study on the critical plane method, and they believed that the maximum shear strain in a cyclic loading over has the greatest effect on fatigue damage. Therefore, in order to characterize the effect of the maximum shear strain Δγ max , they defined the plane where the Δγ max is located as the critical plane and proposed the well-known KBM model, 25 as follows:…”

Section: Existing Critical Plane Theoriesmentioning

confidence: 99%

“…Therefore, the study is focused more on finding the critical plane, which is related to fatigue damage, analyzing the stress/strain component law, and establishing the relationship between fatigue damage parameter (DP) and fatigue life on this basis, as follows:

italicDP goodbreak= f ((), N_{normalf})

Socie 24 conducted an early study on the critical plane method, and they believed that the maximum shear strain in a cyclic loading over has the greatest effect on fatigue damage. Therefore, in order to characterize the effect of the maximum shear strain

Δ γ_{\max}

, they defined the plane where the

Δ γ_{\max}

is located as the critical plane and proposed the well‐known KBM model, 25 as follows:

\begin{matrix} lefttrue \\ \frac{Δ γ_{\max}}{2} + S Δ ε_{n} = [1 + ν_{e} + S (1 - ν_{e})] \frac{σ_{f}^{'}}{E} {((), 2 N_{f})}^{b} + \\ [1 + ν_{p} + S (1 - ν_{p})] ε_{normalf}^{'} {((), 2 N_{f})}^{c}, \end{matrix}

where

normalΔ ε_{n}

is normal strain range on the critical plane; S is the influence coefficient of normal strain;

ν_{e}

is the elastic Poisson's ratio;

ν_{p}

is the plastic Poisson's ratio;

σ_{f}^{'}

ε_{f}^{'}

, b , and c are material fatigue constants, which can be obtained by means of experiments;

N_{f}

is the fatigue life; and E is the modulus of elasticity of the material.…”

Section: The Theory Of Critical Planementioning

confidence: 99%

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Multiaxial fatigue life prediction model with relative stress gradient and size effect

Liu

Zhao

Ran

et al. 2022

Fatigue Fract Eng Mat Struct

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To investigate the effects of notched root stress gradient and geometric size parameters on the fatigue performance of engineering components, a new multiaxial fatigue life prediction model is established. First, based on the energy-critical plane method, the location of the dangerous plane is determined with the help of finite element (FE) analysis. Second, the sixth-order multinomial stress function is used to study the stress/strain distribution state on the critical plane, and the relative stress gradient (RSG) function is used to find the stationary point to determine the RSG value and the magnitude of the fatigue damage zone boundary value. Specifically, for specimens with different notch types, the indexes to determine the high-stress influence zone and the size influence factor are proposed. Finally, a multiaxial fatigue life prediction model considering RSG and size effect is established, and the compared resultsshow that the new model has a high fatigue life prediction capability.

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Section: Analysis and Discussionmentioning

confidence: 99%

Section: Existing Critical Plane Theoriesmentioning

confidence: 99%

italicDP goodbreak= f ((), N_{normalf})

Δ γ_{\max}

, they defined the plane where the

Δ γ_{\max}

is located as the critical plane and proposed the well‐known KBM model, 25 as follows:

\begin{matrix} lefttrue \\ \frac{Δ γ_{\max}}{2} + S Δ ε_{n} = [1 + ν_{e} + S (1 - ν_{e})] \frac{σ_{f}^{'}}{E} {((), 2 N_{f})}^{b} + \\ [1 + ν_{p} + S (1 - ν_{p})] ε_{normalf}^{'} {((), 2 N_{f})}^{c}, \end{matrix}

where

normalΔ ε_{n}

is normal strain range on the critical plane; S is the influence coefficient of normal strain;

ν_{e}

is the elastic Poisson's ratio;

ν_{p}

is the plastic Poisson's ratio;

σ_{f}^{'}

ε_{f}^{'}

, b , and c are material fatigue constants, which can be obtained by means of experiments;

N_{f}

is the fatigue life; and E is the modulus of elasticity of the material.…”

Section: The Theory Of Critical Planementioning

confidence: 99%

See 1 more Smart Citation

Multiaxial fatigue life prediction model with relative stress gradient and size effect

Liu

Zhao

Ran

et al. 2022

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

show abstract

“…34 These materials were the same batch of those of our earlier studies. 15,32,33 NPSS MLCF tests were performed by MTS 809 material test system. The room temperature of the laboratory was adjusted by air conditioning to maintain (20 C), as shown in Figure 1A.…”

Section: Materials and Experimental Proceduresmentioning

confidence: 99%

“…33 As for torsional channel, all applied torsional stress amplitudes correspond to the value of stress response at half-life of NPSN MLCF tests. 33 The frequency of the tests was 1 Hz. The R ratios of the axial and shear stress amplitudes were À1.…”

Section: Materials and Experimental Proceduresmentioning

confidence: 99%

Multiaxial low cycle fatigue behavior and life prediction of CP‐Ti under non‐proportional stress‐controlled mode

Zhou

Chang

et al. 2022

Fatigue Fract Eng Mat Struct

Self Cite

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Multiaxial low cycle fatigue tests under non‐proportional stress (NPSS) controlled mode were performed on commercial pure titanium (CP‐Ti). Strain responses of axial and torsional channels under highly applied stress amplitudes show an initial hardening phenomenon. Non‐proportional hardening coefficient of CP‐Ti is independent of the controlled mode. The critical plane of CP‐Ti under NPSS controlled mode is aligned with the maximum principal stress plane proved by optical microscopy observation. Optimized FSM model and KBM‐PM model with mean axial and torsional strain are established. These models are further integrated into equations related to multiaxial stress ratio with high accuracy of life prediction for CP‐Ti under NPSS controlled mode.

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Multiaxial fatigue life prediction method considering notch effect and non-proportional hardening

Ran

Liu

Xie

2022

Engineering Failure Analysis

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Low-cycle fatigue behavior and life prediction of CP-Ti under non-proportional and multiaxial loading

Cited by 18 publications

References 36 publications

Multiaxial fatigue life prediction model with relative stress gradient and size effect

Multiaxial fatigue life prediction model with relative stress gradient and size effect

Multiaxial low cycle fatigue behavior and life prediction of CP‐Ti under non‐proportional stress‐controlled mode

Multiaxial fatigue life prediction method considering notch effect and non-proportional hardening

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