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Research Papers: Design and Analysis

Unified Approach for Notch Stress Strain Conversion Rules

[+] Author and Article Information
R. Adibi-Asl

AMEC NSS Ltd.,
393 University Avenue,
Toronto, ON, M5G 1E6, Canada
e-mail: reza.adibiasl@amec.com

R. Seshadri

Faculty of Engineering and Applied Science,
Memorial University,
St. John's, NL, A1B 3X5, Canada

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the Journal of Pressure Vessel Technology. Manuscript received July 12, 2012; final manuscript received January 28, 2013; published online June 11, 2013. Assoc. Editor: Wolf Reinhardt.

J. Pressure Vessel Technol 135(4), 041203 (Jun 11, 2013) (9 pages) Paper No: PVT-12-1096; doi: 10.1115/1.4023731 History: Received July 12, 2012; Revised January 28, 2013

There are several simplified methods, known as notch stress-strain conversion (NSSC) rules that provide an approximate formula to relate local elastic-plastic stresses and strains at the notch root to those estimated elastically. This paper investigates a unified approach that estimates nonlinear and history dependent stress-strain behavior of the notches using the conventional NSSC rules. A nonlinear interpolation method is adopted to estimate the elastic-plastic stress and strain at notches. A comparison is made between the finite element results for several notch configurations (with and without three-dimensional effects) and those obtained from NSSC rules and the proposed formulation.

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References

Figures

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Fig. 1

Secant modulus concept

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Fig. 2

Schematic variation of reference stress with parameter q

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Fig. 3

Various plasticity material models

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Fig. 4

Geometry and dimensions for (a) round bar notch (b) plate with a hole (c) double edge notch

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Fig. 5

Finite element mesh (a) round bar notch (b) plate with a hole (c) double edge notch under bending

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Fig. 6

Variation of q with nominal stress for round bar notch-EPP model

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Fig. 7

Comparison of finite element prediction of elastic-plastic equivalent stress and strain with the NSSC rules estimate for round bar notch (a) EPP Model (b) BH Model (c) RO Model

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Fig. 8

Comparison of finite element prediction of elastic-plastic equivalent stress and strain with the NSSC rules estimates for plate with a hole-plane stress (a) EPP Model (b) BH Model (c) RO Model

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Fig. 9

Comparison of finite element prediction of elastic-plastic equivalent stress and strain with the NSSC rules estimates for plate with a hole-plane strain (a) EPP Model (b) BH Model (c) RO Model

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Fig. 10

Comparison of finite element prediction of elastic-plastic equivalent stress and strain with the NSSC rules estimates for plate with a hole-three-dimensional (a) EPP Model (b) BH Model (c) RO Model

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Fig. 11

Variation of q with nominal stress for double edge notch with an EPP model

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Fig. 12

Comparison of finite element prediction of elastic-plastic equivalent stress and strain with the NSSC rules estimate for double edge notch with an EPP model

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Fig. 13

Fatigue crack initiation life prediction procedure using the NSSC rules

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