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Design and Analysis

Stress and Strain Locus of Perforated Plate in Inelastic Deformation—Strain-Controlled Loading Case

[+] Author and Article Information
Osamu Watanabe1

 Department of Engineering Mechanics and Energy, University of Tsukuba, Tsukuba, Ibaraki 305-8573, Japan

Bopit Bubphachot

Faculty of Engineering,Mahasarakham University, Khamriang, Mahasarakham 44150, Thailand

Akihiro Matsuda

 Department of Engineering Mechanics and Energy, University of Tsukuba, Tsukuba, Ibaraki 305-8573, Japan

Taisuke Akiyama

Tsuchiura Works, Hitachi Construction Machinery, Tsuchiura, Ibaraki 300-0013, Japan

1

Corresponding author.

J. Pressure Vessel Technol 134(3), 031207 (May 18, 2012) (13 pages) doi:10.1115/1.4005937 History: Received May 08, 2011; Revised December 05, 2011; Published May 17, 2012; Online May 18, 2012

Plastic strain of structures having stress concentration is estimated by using the simplified method or the finite element elastic solutions. As the simplified methods used in codes and standards, we can cite Neuber’s formula in the work by American Society of Mechanical Engineers (1995, “Boiler and Pressure Vessel Code,” ASME-Code, Section 3, Division 1, Subsection NH) and by Neuber (1961, “Theory of Stress Concentration for Shear Strained Prismatic Bodies With Arbitrary Nonlinear Stress-Strain Law,” ASME, J. Appl. Mech., 28 , pp.544–550) and elastic follow-up procedure in the work by Japan Society of Mechanical Engineers [2005, “Rules on Design and Construction for Nuclear Power Plants, 2005, Division 2: Fast Breeder Reactor” (in Japanese)]. Also, we will cite stress redistribution locus (SRL) method recently proposed as the other simplified method in the work by Shimakawa [2002, “Creep-Fatigue Life Evaluation Based on Stress Redistribution Locus (SRL) Method,” JPVRC Symposium 2002, JPVRC/EPERC/JPVRC Joint Workshop sponsored by JPVRC, Tokyo, Japan, pp. 87–95] ad by High Pressure Institute of Japan [2005, “Creep-Fatigue Life Evaluation Scheme for Ferritic Component at Elevated Temperature,” HPIS C 107 TR 2005 (in Japanese)]. In the present paper, inelastic finite element analysis of perforated plate, whose stress concentration is about 2.2–2.5, is carried out, and stress and strain locus in inelastic range by the detailed finite element solutions is investigated to compare accuracy of the simplified methods. As strain-controlled loading conditions, monotonic loading, cyclic loading, and cyclic loading having hold time in tension under strain-controlled loading are assumed. The inelastic strain affects significantly life evaluation of fatigue and creep-fatigue failure modes, and the stress and strain locus is discussed from the detailed inelastic finite element solutions.

Copyright © 2012 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Monotonic plasticity behavior

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Figure 2

Cyclic plasticity behavior

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Figure 3

Strain rate effects in plastic deformation

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Figure 4

Uniaxial creep strain behavior

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Figure 5

3D model for perforated plate

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Figure 6

Boundary and loading conditions for C1-2

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Figure 7

SRL points under maximum nominal strain of 0.15%

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Figure 8

SRL points under maximum nominal strain of 0.25%

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Figure 9

Inelastic strain contour for C1-2

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Figure 10

Inelastic strain contour for C1-4

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Figure 11

Inelastic strain contour for C1-6

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Figure 12

Stress and strain amplitude between strain reversals

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Figure 13

Comparison with experiment and calculation for load-displacement result of C1-2 for 0.3 strain range

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Figure 14

Comparison with experiment and calculation for load-displacement result of C1-6 for 0.3 strain range

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Figure 15

Hysteresis loop under nominal strain amplitude for 0.3% strain range

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Figure 16

SRL points in fatigue analysis for 0.3% strain range

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Figure 17

Comparison with experiment and calculation for load-displacement result of C1-6 for 0.5% strain range

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Figure 18

Hysteresis loop of maximum value for 0.5% strain range

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Figure 19

SRL points in fatigue analysis of 0.5% strain range

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Figure 20

Hysteresis loop in creep-fatigue analysis with strain amplitude 0.3% and hold time 0.1 h

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Figure 21

SRL in fatigue and creep-fatigue analysis of C1-4

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Figure 22

SRL in creep-fatigue analysis under strain range of 0.3% and hold time 0.1 h

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Figure 23

Experiment result for for C1-2 with strain amplitude 0.5% and hold time 0.1 h

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Figure 24

Creep-fatigue analysis under strain range of 0.5% and hold time 0.1 h

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Figure 25

SRL in creep-fatigue analysis under strain amplitude of 0.5% and hold time 0.1 h

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