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Effect of damage evaluation method and cyclic hardening models on strain-based fatigue assessment to a piping system under seismic loads

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Abstract

In this paper, strain-based damage assessment based on elastic-plastic FE analysis was carried out for the piping system test under seismic loads conducted at Bhabha Atomic Research Center (BARC, India) to suggest relevant damage evlaution method and cyclic hardening model. For the damage evaluation method, the cumulative plastic damage and cumulative fatigue damage assessment methods, suggested in ASME B&PV Sec. VIII and Sec. III, respectively, were considered. For the FE analysis, hybrid models consisting of the beam and solid elements were used, validated by comparing with the results using full solid models. To simulate the cyclic hardening behavior of the material, the bi-linear kinematic hardening model suggested in the JSME Code case and the Chaboche kinematic hardening model were considered. By comparing with test results, it is shown that predicted failure cycles are about 33–C;53 % of the test result, and the use of the cumulative plastic damage method is found to be more conservative than the cumulative fatigue damage method. The effect of the hardening model on evaluation results is found to be not so significant.

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Abbreviations

α :

Back stress

α L :

Material constant of the R-T model

αsl, m2 :

Material constants of the ASME model

a0, a1 :

Damping coefficients

C :

Damping matrix

Ci, γI :

Material constants of the Chaboche model

D ε :

Cumulative plastic damage

D εk :

Plastic damage at each loading point k

D f :

Cumulative fatigue damage

D f,k :

Fatigue damage at each cycle k

E :

Young’s modulus

E 2 :

Secondary slope of the bi-linear model

ε pl :

Plastic strain

ε p eq :

Equivalent plastic strain

\({\varepsilon '^p}_{ij}\) :

Plastic strain rate tensor

ε a :

Equivalent strain amplitude

ε L,k :

Limiting triaxial strain at each loading point k

ε LU :

Uniaxial strain limit

ε max :

Maximum strain

Δε p eq,k :

Change in the equivalent plastic strain

K :

Stiffness matrix

M :

Mass matrix

Nk(εa):

Allowable cycle

n k :

Number of repetitions of the k cycle

ρ :

Density

S m :

Stress intensity limit

σ (1,2,3),k :

Principal stresses at each loading point k

σ e,k :

Von-Mises equivalent stress at each loading point k

σ m,k :

Hydrostatic stress at each loading point k

σ y :

Yield stress of the bi-linear model

σ y0 :

Initial yield strength at zero plastic strain

V :

Volume

v :

Poisson’s ratio

ωi, ωi :

Natural frequencies of the structure

ζ :

Damping ratio

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Acknowledgments

This work was supported by the Nuclear Power Core Technology Development Program of the Korea Institute of Energy Technology Evaluation and Planning (KETEP) granted financial resource from the Ministry of Trade, Industry & Energy, Republic of Korea (No. 20171520101650).

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Author notes

  1. These authors equally contributed to this work as first author.

Authors and Affiliations

  1. Dept. of Mechanical System Design Engineering, Seoul National University of Science and Technology, Seoul, 01811, Korea

    Dong-Joo Chang & Nam-Su Huh

  2. Dept. of Mechanical Engineering, Korea University, Seoul, 02841, Korea

    Jong-Min Lee & Yun-Jae Kim

  3. Central Research Institute, Korea Hydro & Nuclear Power Co., Ltd, Daejeon, 34101, Korea

    Hyun-Suk Nam & Hyeong-Do Kweon

  4. Dept. of Nuclear Engineering, Sejong University, Seoul, 05006, Korea

    Jong-Sung Kim

Authors
  1. Dong-Joo Chang
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Corresponding author

Correspondence to Nam-Su Huh.

Additional information

Recommended by Editor Chongdu Cho

Dong-Joo Chang is a master student of the Department of Mechanical System Design Engineering, Seoul National University of Science and Technology, Korea. He received his B.S. degree in the Mechanical System Design Engineering from Seoul National University of Science and Technology in 2019. His research interests include structural integrity assessment based on computational mechanics of materials.

Jong-Min Lee is a Ph.D. candidate of the Mechanical Engineering, Korea University, Korea. He received his B.S. degree in the Mechanical Engineering from Korea University in 2016. His research interests are in applying the current structural integrity assessment procedure based on fracture mechanics to computational structural analysis.

Nam-Su Huh received his B.S., M.S. and Ph.D. degrees in the Mechanical Engineering from Sungkyunkwan University, Korea, in 1996, 1998 and 2001, respectively. He is currently a Professor at the Department of Mechanical System Design Engineering, Seoul National University of Science and Technology, Korea. Prof. Huh’s research interests include structural integrity assessment based on computational mechanics of materials.

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Chang, DJ., Lee, JM., Nam, HS. et al. Effect of damage evaluation method and cyclic hardening models on strain-based fatigue assessment to a piping system under seismic loads. J Mech Sci Technol 34, 2833–2844 (2020). https://doi.org/10.1007/s12206-020-0616-3

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  • DOI: https://doi.org/10.1007/s12206-020-0616-3

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