Research Papers: Numerical Methods

Using the Nonlinear Kinematic Hardening Material Model of Chaboche for Elastic–Plastic Ratcheting Analysis

[+] Author and Article Information
Arturs Kalnins

Department of Mechanical Engineering
and Mechanics,
Lehigh University,
Bethlehem, PA 18015
e-mail: ak01@Lehigh.edu

Jürgen Rudolph

Erlangen 91058, Germany
e-mail: rudolph.juergen@areva.com

Adrian Willuweit

Erlangen 91058, Germany
e-mail: adrian.willuweit@areva.com

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received February 28, 2014; final manuscript received September 21, 2014; published online March 23, 2015. Assoc. Editor: Reza Adibi-Asl.

J. Pressure Vessel Technol 137(3), 031006 (Jun 01, 2015) (10 pages) Paper No: PVT-14-1036; doi: 10.1115/1.4028659 History: Received February 28, 2014; Revised September 21, 2014; Online March 23, 2015

Commonly used design codes for power plant components and pressure vessels include rules for ratcheting analysis that specify limits on accumulated strain. No guidance is provided on the use of the material model. The objective of the paper is to provide guidance that may be helpful to analysts. The Chaboche nonlinear kinematic (NLK) hardening material model is chosen as an appropriate model. Two methods are selected for its calibration that can determine the parameters for stainless steels. One is manual that requires no outside software and the other uses finite element software. Both are based on the monotonic stress–strain curve obtained from a tension specimen. The use of the Chaboche parameters for cases when ratcheting is caused by cyclic temperature fields is selected as the example of an application. The conclusion is that the number of allowable design cycles is far higher when using the parameters with temperature dependency than those at the constant maximum temperature that is being cycled.

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Fig. 1

Stress–strain curve for SA-312 TP304 at 204 °C from SC-VIII-Div.2

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Fig. 2

Stress–strain curve of Fig. 1 up to 5% strain

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Fig. 3

Elastic limit-initial yield stress point at 204 °C

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Fig. 4

Stress–plastic strain curve of SA-312 TP304 at 204 °C and the α backstress curve defined in Sec. 3.4

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Fig. 5

Generic stress–plastic strain curve divided into M segments

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Fig. 6

Stress–plastic strain curve divided into four segments between square markers

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Fig. 7

α and initial αNLK backstress curves (B and Sum) at 204 °C using three components by manual method

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Fig. 8

α and recalibrated αNLK backstress curves (B and Sum) at 204 °C using three components by manual method

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Fig. 9

α and αNLK backstress curves (B and Sum) at 204 °C using three components by Abaqus calibration

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Fig. 10

α and αNLK backstress curves (B and Sum) at 204 °C using four components by Abaqus calibration

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Fig. 11

α and αNLK backstress curves (B and Sum) at 21 °C using the four components as given by Abaqus

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Fig. 12

Using reordered parameters of Table 11

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Fig. 13

Using as-given parameters of Table 10

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Fig. 15

Accumulated plastic strain on outside diameter (OD) of Bree shell using constant and temperature-dependent (T-D) Chaboche models by Abaqus

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Fig. 16

Estimated number of cycles to reach 5% strain using parameters for constant 204 °C

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Fig. 17

Estimated number of cycles using temperature-dependent parameters between 21 °C and 204 °C




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