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Research Papers: Design and Analysis

Fatigue Modeling of a Notched Flat Plate Under Variable Amplitude Loading Supported by Elastoplastic Finite Element Method Analyses

[+] Author and Article Information
Hélder F. S. G. Pereira

 UCVE, IDMEC – Pólo FEUP, Rua Dr. Roberto Frias, 4200-465 Porto, Portugalhfpereira@portugalmail.pt

Abílio M. P. De Jesus

Alfredo S. Ribeiro

UCVE-IDMEC/School of Science and Technology,  University of Trás-os-Montes and Alto Douro, Quinta de Prados, 5001-801 Vila Real, Portugalaribeiro@utad.pt

António A. Fernandes

Faculty of Engineering,  University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugalaaf@fe.up.pt

J. Pressure Vessel Technol 133(6), 061207 (Oct 20, 2011) (10 pages) doi:10.1115/1.4004617 History: Received August 02, 2010; Accepted May 13, 2011; Published October 20, 2011; Online October 20, 2011

Although intensive research has been carried out to understand the fatigue behavior of steel notched components, under variable amplitude loading, no definite and general robust models have been derived so far. Therefore, every effort to augment the knowledge in this topic is welcomed. Within this context, existing variable amplitude data, derived by the authors for a notched low carbon pressure vessel steel (P355NL1) flat plate, is used to assess a local approach to fatigue. A linear damage summation framework, supported by elastoplastic finite element analyses, is used. Several variable amplitude loadings were selected and analyzed, using alternative configurations of kinematic hardening plasticity models (e.g., Chaboche’s model with distinct constants superposition). The predictions are assessed using available experimental data and data derived with simplified empirical elastoplastic tools. This paper highlights the difficulties of performing such elastoplastic analysis and compares the obtained results with those obtained using more classical tools for elastoplastic analysis (Glinka and Seeger–Heuler). It was found that fatigue predictions based on an elastoplastic finite element analysis, made using the Chaboche’s model, were significantly more accurate than predictions based on simplified elastoplastic analysis. These results have important practical relevance.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

Notched flat plate of P355NL1 steel (dimensions in mm)

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Figure 2

Variable amplitude loading: sequence of two constant amplitude blocks

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Figure 3

Variable amplitude loading: alternation of constant amplitude blocks

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Figure 4

Cyclic curves of the P355NL1 steel: Ramberg–Osgood versus Chaboche representations

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Figure 5

Finite element mesh of the notched flat plate (4-noded elements)

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Figure 6

Evolution of the cyclic mean stress according three versions of the Chaboche’s model, for several values of applied stress ranges

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Figure 7

Constant amplitude S-N data prediction: comparison of distinct approaches

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Figure 8

Constant amplitude fatigue life predictions: comparison of distinct approaches

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Figure 9

Typical SEM fracture surfaces obtained for the following loading conditions: (1) constant amplitude, R = 0 with Δσ = 330 MPa; (2) constant amplitude, R = 0.15 with Δσ = 238 MPa; (3) H–L sequence, R = 0, with ΔσH  = 400 MPa, and ΔσL  = 280 MPa

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Figure 10

Experimental values versus life predictions for two constant amplitude blocks loading

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Figure 11

Cyclic notch stress–strain relations from the Chaboche’s model (20 cycles simulated for each one of the two blocks)

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Figure 12

Cyclic notch response from the Chaboche’s model (20 cycles simulated for each one of the two blocks)

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Figure 13

Experimental values versus life predictions for multiple alternated constant amplitude blocks

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Figure 14

Cyclic notch response from the Chaboche’s model (20 cycles simulated for each one of six alternated blocks)

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