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Fatigue life and defect tolerance calculation for specimens with foreign object impact and scratch damage

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Abstract

In this paper, a new method is proposed to calculate the fatigue life and defect tolerance for a 30CrMnSiA steel specimen with foreign object impact damage and scratch damage. First, the processes of foreign object impact and scratch are simulated. Then, the Lemaitre’s plasticity damage model is adopted to calculate the initial damage field arising from the impact process and scratch process. Second, the Chaudonneret’s damage model is applied to calculate the fatigue damage for the specimen with a defect under multiaxial fatigue loading. Then, the FE implementation of the damage mechanics model is presented in the platform of ANSYS, in which the coupling effect between the stress and damage fields is considered. Finally, this proposed method is applied to fatigue life and defect tolerance calculation for the 30CrMnSiA steel specimen with an impact defect and a scratch defect. The experiments were conducted to evaluate the approach mentioned above.

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Abbreviations

\(\sigma _{ij}\) :

Stress components

\(\varepsilon _{ij}\) :

Strain components

\(\lambda \), \(\mu \) :

Lamé constants

\(\delta _{ij}\), \(\delta _{kl}\) :

Kronecker delta

\(\varepsilon _\mathrm{eff}^p\) :

Effective strain

\(\dot{\varepsilon }_\mathrm{eff}^p\) :

Effective strain rate

\(\sigma _y (\varepsilon _\mathrm{eff}^p )\) :

Yield stress

\(\sigma _{\mathrm{a}}\) :

Stress amplitude

\(\sigma _{\max }\) :

Maximum stress

\(\sigma _\mathrm{m}\) :

Mean stress

\(\bar{{\sigma }}_\mathrm{m}\) :

Effective mean stress

D :

Damage variable

E :

Young’s Modulus

\(E_\mathrm{D}\) :

Young’s Modulus with damage

\(\sigma _\mathrm{eq}\) :

Equivalent stress

\(\dot{p}\) :

Rate of accumulated plastic strain

\(R_\nu \) :

Stress triaxiality function

\(\sigma _\mathrm{H}\) :

Hydrostatic stress

S, m :

Parameters of plasticity damage model

\(\Delta p\) :

Accumulated plastic strain

\(\sigma _\mathrm{u}\) :

Ultimate tensile stress

\(\sigma _\mathrm{l0} \) :

Fatigue limit

\(D_{0 }\) :

Initial damage

\(A_{\textit{II}}\) :

Amplitude of the octahedral shear stress

\(\sigma _\mathrm{H,m}\) :

Mean hydrostatic stress

\(\beta , a, M_0 , b_1 , b_2\) :

Parameters of elasticity damage model

\(S_{ij,\max }\) :

Maximum values of the deviatoric stress tensor components

\(S_{ij,\min }\) :

Minimum values of the deviatoric stress tensor components

\(\sigma _{\mathrm{e},\max }\) :

Maximum equivalent stress over a loading cycle

\(A_{\textit{II}}^*\) :

Sines fatigue limit criterion

\(N_\mathrm{F}\) :

Fatigue life

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Authors and Affiliations

  1. School of Aeronautic Science and Engineering, Beihang University, Room D604, New Main Building, 37th Xueyuan Road, Beijing, 100191, China

    Zhixin Zhan, Weiping Hu, Qingchun Meng & Zhidong Guan

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  1. Zhixin Zhan
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  2. Weiping Hu
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  3. Qingchun Meng
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  4. Zhidong Guan
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Correspondence to Weiping Hu.

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Zhan, Z., Hu, W., Meng, Q. et al. Fatigue life and defect tolerance calculation for specimens with foreign object impact and scratch damage. Arch Appl Mech 88, 373–390 (2018). https://doi.org/10.1007/s00419-017-1313-2

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