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Multiscale Fatigue Crack Growth Modeling for Welded Stiffened Panels

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Handbook of Mechanics of Materials

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Abstract

The influence of welding residual stresses in stiffened panels on effective stress intensity factor values and fatigue crack growth rate is studied in this paper. Interpretation of relevant effects on different length scales such as dislocation appearance and microstructural crack nucleation and propagation is taken into account using molecular dynamics (MD) simulations as well as a Tanaka-Mura approach for the analysis of the problem. Mode I stress intensity factors (SIFs), KI, were calculated by the finite element method (FEM) using shell elements and the crack tip displacement extrapolation technique. The total SIF value, Ktot, is derived by a part due to the applied load, Kappl, and by a part due to welding residual stresses, Kres. Fatigue crack propagation simulations based on power law models showed that high tensile residual stresses in the vicinity of a stiffener significantly increase the crack growth rate, which is in good agreement with experimental results.

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Abbreviations

a :

half crack length

a 0 :

initial crack length

a fin :

final crack length

C :

material constant of the Paris equation

CRSS :

critical resolved shear stress

d :

slip band length

da/dN:

crack growth rate

E :

Young’s modulus

\( F\left(\overrightarrow{r},t\right) \) :

interatomic force

F max :

maximum applied force

F min :

minimum applied force

G :

shear modulus

K :

stress intensity factor (SIF)

K appl :

stress intensity factor due to the applied load

K res :

stress intensity factor due to welding residual stresses

K th :

stress intensity factor threshold

K tot :

total stress intensity factor

m :

atomic mass

m :

material constant of the Paris eq.

N :

number of stress cycles for the fatigue crack propagation

N f :

number of stress cycles for fatigue failure

N g :

number of stress cycles required for crack nucleation in a single grain

N ini :

number of stress cycles needed for the initiation of a small crack

R :

stress ratio

R eff :

effective stress intensity factor ratio

\( U\left(\overrightarrow{r} \, ,t\right) \) :

interatomic embedded atom method (EAM) pair potential

W c :

specific fracture energy per unit area

ΔF:

applied force range

ΔK:

stress intensity factor range

ΔKeff:

effective stress intensity factor range

Δσ:

average applied stress range

\( \Delta \overline{\tau} \) :

average shear stress range on the slip band

σ 0 :

yield stress

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Acknowledgments

This work was supported by the Deutsche Forschungsgemeinschaft (DFG) under Grant No. Schm 746/132-1 and as part of the Collaborative Research Centre SFB 716 at the University of Stuttgart and by the Croatian Science Foundation Grant No. 120-0362321-2198. The support is gratefully acknowledged.

Author information

Authors and Affiliations

  1. Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Zagreb, Croatia

    Ž. Božić

  2. Institute for Materials Testing, Materials Science and Strength of Materials (IMWF), University of Stuttgart, Stuttgart, Germany

    Siegfried Schmauder, M. Mlikota & M. Hummel

Authors
  1. Ž. Božić
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  2. Siegfried Schmauder
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  3. M. Mlikota
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  4. M. Hummel
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Corresponding author

Correspondence to Ž. Božić .

Editor information

Editors and Affiliations

  1. Institute for Materials Testing, Materials Science and Strength of Materials, University of Stuttgart, Stuttgart, Germany

    Siegfried Schmauder

  2. Department of Civil Engineering, National Taiwan University, Taipei, Taiwan

    Chuin-Shan Chen

  3. UAB Mail BEC 254, Birmingham, AL, USA

    Krishan K. Chawla

  4. Fulton School of Engineering, Arizona State University , Tempe, AZ, USA

    Nikhilesh Chawla

  5. Engineering Mechanics, Zhejiang University , Hangzhou, China

    Weiqiu Chen

  6. Katayanagi Advanced Research Laboratories, Tokyo University of Technology, Tokyo, Japan

    Yutaka Kagawa

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Božić, Ž., Schmauder, S., Mlikota, M., Hummel, M. (2019). Multiscale Fatigue Crack Growth Modeling for Welded Stiffened Panels. In: Schmauder, S., Chen, CS., Chawla, K., Chawla, N., Chen, W., Kagawa, Y. (eds) Handbook of Mechanics of Materials. Springer, Singapore. https://doi.org/10.1007/978-981-10-6884-3_73

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