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Research Papers: Theoretical Applications

Ratcheting Prediction of 1070 and 16MnR Steel Alloys Under Uniaxial Asymmetric Stress Cycles By Means of Ohno–Wang and Ahmadzadeh–Varvani Kinematic Hardening Rules

[+] Author and Article Information
G. R. Ahmadzadeh

Postdoctoral Fellow
Department of Mechanical and
Industrial Engineering,
Ryerson University,
350 Victoria Street,
Toronto, ON M5B 2K3, Canada
e-mail: reza.ahmadzadeh@ryerson.ca

S. M. Hamidinejad

Department of Mechanical and
Industrial Engineering,
Ryerson University,
350 Victoria Street,
Toronto, ON M5B 2K3, Canada
e-mail: seyedmahdi.hamidinej@ryerson.ca

A. Varvani-Farahani

Professor
Department of Mechanical and
Industrial Engineering,
Ryerson University,
350 Victoria Street,
Toronto, ON M5B 2K3, Canada
e-mail: avarvani@ryerson.ca

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received February 26, 2014; final manuscript received October 24, 2014; published online March 23, 2015. Assoc. Editor: Reza Adibi-Asl.

J. Pressure Vessel Technol 137(3), 031001 (Jun 01, 2015) (11 pages) Paper No: PVT-14-1035; doi: 10.1115/1.4028970 History: Received February 26, 2014; Revised October 24, 2014; Online March 23, 2015

The present study predicts ratcheting response of 1070 and 16MnR steel samples using nonlinear kinematic hardening rules of Ohno–Wang (O–W) and Ahmadzadeh–Varvani (A–V) under uniaxial stress cycles. The ratcheting values predicted based on the O–W model were noticeably influenced by the magnitude of exponents and the number of backstress components. Taking into account both material and cyclic stress level dependent coefficients, the A–V hardening rule offered a simple framework to predict ratcheting strain over loading cycles. A comparative study of these hardening rules to assess ratcheting of 1070 and 16MnR steel samples undergoing uniaxial loading conditions resulted in a close agreement of the A–V and O–W models. The choice of hardening rules in the assessment of materials ratcheting was further discussed based on the complexity of the hardening rule, number of constants/coefficients required to characterize ratcheting response, and central processing unit (CPU) time required to run the models.

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Figures

Grahic Jump Location
Fig. 1

Family curves representing the variations of (a) coefficient γ2 and (b) coefficient δ for different mean stress and stress amplitude values for 1070 steel

Grahic Jump Location
Fig 2

Family curves representing the variations of (a) coefficient γ2 and (b) coefficient δ for different mean stress and stress amplitude values for 16MnR steel

Grahic Jump Location
Fig. 3

(a) Experimental and predicted ratcheting strain values based on the A–V and O–W models with different exponents, (b) experimental hysteresis loops, (c) predicted hysteresis loops based of A–V, and (d) predicted hysteresis loops based on O–W at 280 ± 375 MPa for 1070 steel sample

Grahic Jump Location
Fig. 4

(a) Experimental and predicted ratcheting strain values based on the O–W, J–S and A–V models, (b) experimental hysteresis loops, (c) predicted loops of the A–V model, and (d) predicted hysteresis loops based on O–W at 78 ± 403 MPa for 1070 steel sample

Grahic Jump Location
Fig. 5

(a) Experimental and predicted ratcheting strain values based on the O–W, J–S and A–V models, (b) experimental hysteresis loops, (c) predicted loops of the A–V model, and (d) predicted hysteresis loops based on O–W at 208 ± 403 MPa for 1070 steel sample

Grahic Jump Location
Fig. 6

(a) Experimental and predicted ratcheting strain values based on the O–W, J–S and A–V models, (b) experimental hysteresis loops, (c) predicted loops of the A–V model, and (d) predicted hysteresis loops based on O–W at 204 ± 396 MPa for 1070 steel sample

Grahic Jump Location
Fig. 7

(a) Experimental and predicted ratcheting strain values based on the O–W, J–S and A–V models, (b) experimental hysteresis loops, (c) predicted loops of the A–V model, and (d) predicted hysteresis loops based on O–W at −211 ± 405 MPa for 1070 steel sample

Grahic Jump Location
Fig. 8

(a) Experimental and predicted ratcheting strain values based on the O–W, and A–V models, (b) predicted loops of the A–V model, and (c) predicted hysteresis loops based on O–W at 120 ± 360 MPa for 16MnR steel sample

Grahic Jump Location
Fig. 9

(a) Experimental and predicted ratcheting strain values based on the O–W, and A–V models, (b) experimental hysteresis loops, (c) predicted loops of the A–V model, and (d) predicted loops of the O–W model at 100 ± 360 MPa for 16MnR steel sample

Grahic Jump Location
Fig. 10

(a) Experimental and predicted ratcheting strain values based on the O–W, and A–V models, (b) predicted loops of the A–V model, and (c) predicted loops of the O–W model at 100 ± 380 MPa for 16MnR steel sample

Grahic Jump Location
Fig. 11

(a) Experimental and predicted ratcheting strain values based on the O–W, and A–V models, (b) predicted loops of the A–V model, and (c) predicted loops of the O–W model at 60 ± 360 MPa for 16MnR steel sample

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