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Research Papers: Materials and Fabrication

A Direct Method on the Evaluation of Cyclic Steady State of Structures With Creep Effect

[+] Author and Article Information
Haofeng Chen

Department of Mechanical Engineering,
University of Strathclyde,
Glasgow G1 1XJ, UK
e-mail: haofeng.chen@strath.ac.uk

Weihang Chen, James Ure

Department of Mechanical Engineering,
University of Strathclyde,
Glasgow G1 1XJ, UK

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received April 23, 2012; final manuscript received July 31, 2014; published online September 15, 2014. Assoc. Editor: Osamu Watanabe.

J. Pressure Vessel Technol 136(6), 061404 (Sep 15, 2014) (10 pages) Paper No: PVT-12-1048; doi: 10.1115/1.4028164 History: Received April 23, 2012; Revised July 31, 2014

This paper describes a new extension of the linear matching method (LMM) for the direct evaluation of cyclic behavior with creep effects of structures subjected to a general load condition in the steady cyclic state, with the new implementation of the cyclic hardening model and time hardening creep constitutive model. A benchmark example of a Bree cylinder and a more complicated three-dimensional (3D) plate with a center hole subjected to cyclic thermal load and constant mechanical load are analyzed to verify the applicability of the new LMM to deal with the creep fatigue damage. For both examples, the stabilized cyclic responses for different loading conditions and dwell time periods are obtained and validated. The effects of creep behavior on the cyclic responses are investigated. The new LMM procedure provides a general purpose technique, which is able to generate both the closed and nonclosed hysteresis loops depending upon the applied load condition, providing details of creep strain and plastic strain range for creep and fatigue damage assessments with creep fatigue interaction.

Copyright © 2014 by ASME
Topics: Creep , Stress , Steady state
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Figures

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Fig. 1

(a) Load history for constant internal pressure and cyclic temperature gradient and (b) cross section in direction of applied stress

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Fig. 2

Bree diagram, showing regions of different cyclic behavior

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Fig. 3

Response of the stress–strain path corresponding to the cyclic loading cases (a) 1 and (b) 2

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Fig. 4

Response of the stress–strain path corresponding to the cyclic loading cases with 1 h dwell time (a) case 3 and (b) case 4

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Fig. 5

Response of the stress–strain path corresponding to the cyclic loading cases with 50 h dwell time (a) case 3 and (b) case 4

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Fig. 6

Stress distribution across the tube wall with partial stress relaxation for the cyclic loading case 3 during (a) shutdown, (b) startup, and (c) creep dwell, processes

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Fig. 7

(a) Geometry of the holed plate subjected to varying thermal loads and its finite element mesh (D/L = 0.2) and (b) FEM

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Fig. 8

Load history with two distinct extremes (three load instances) to the elastic solution

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Fig. 9

Elastic shakedown, reverse plasticity and ratchet region for the holed plate with constant mechanical and varying thermal load

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Fig. 10

Equivalent creep strain distribution for elastic-perfectly plastic material model with Norton's law (combination model one) under loading case 2 after 10 h dwell time (Fig. 4). (a) LMM and (b) Abaqus step-by-step analysis.

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Fig. 11

Equivalent creep strain distribution for Ramberg–Osgood material model with Time Hardening law (combination model two) under loading case 2 after 10 h dwell time (Fig. 4). (a) LMM and (b) Abaqus step-by-step analysis.

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Fig. 12

Equivalent creep strain distribution for elastic-perfectly plastic material model with Norton's law (combination model one) under loading case 3 after 10 h dwell time (Fig. 4). (a) LMM and (b) Abaqus step-by-step analysis.

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Fig. 13

Equivalent creep strain distribution for Ramberg–Osgood material model with Time Hardening law (combination model two) under loading case 3 after 10 h dwell time (Fig. 4). (a) LMM and (b) Abaqus step-by-step analysis.

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Fig. 14

Location of maximum creep strain corresponding to the cyclic load case 1 with dwell period (a) 1 h, (b) 10 h, and (c) 100 h

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Fig. 15

Location of maximum creep strain with 1 h dwell period corresponding to the cyclic load (a) case 1, (b) case 2, and (c) case 3

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Fig. 16

Location of maximum plastic strain range corresponding to the cyclic load case 1 with dwell period (a) 1 h (b) 10 h, and (c) 100 h

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Fig. 17

Location of maximum plastic strain range with 1 h dwell period corresponding to the cyclic load (a) case 1, (b) case 2, and (c) case 3

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Fig. 18

Response of the steady state stress–strain path corresponding to the cyclic load point 1 (dwell period 10 h) at the region with maximum (a) reverses plastic strain and (b) creep strain

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Fig. 19

Response of the steady state stress–strain path corresponding to the cyclic load point 3 at the location with maximum reverse plastic strain with dwell period (a) 1 h and (b) 10 h

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Fig. 20

Response of the steady state stress–strain path with dwell period 10 h at the location with maximum reverse plastic strain corresponding to the cyclic load points (a) 1, (b) 2, and (c) 3

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