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Research Papers: Materials and Fabrication

Load Controlled Cyclic Loading of Transversely Isotropic Cylindrical Vessels Based on the Anisotropic Kinematic Hardening Models

[+] Author and Article Information
M. Ejtemajou

Department of Mechanical Engineering,
Islamic Azad University,
South Tehran Branch,
Tehran 19166, Iran
e-mail: st_m_ejtemajou@azad.ac.ir

H. Mahbadi

Associate Professor
Department of Mechanical Engineering,
Islamic Azad University,
Central Tehran Branch,
Tehran 19166, Iran
e-mail: h_mahbadi@iauctb.ac.ir

M. R. Eslami

Fellow ASME
Professor
Department of Mechanical Engineering,
Amirkabir University of Technology,
Tehran 19166, Iran
e-mail: eslami@aut.ac.ir

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received June 2, 2016; final manuscript received January 8, 2017; published online February 3, 2017. Assoc. Editor: Haofeng Chen.

J. Pressure Vessel Technol 139(3), 031402 (Feb 03, 2017) (8 pages) Paper No: PVT-16-1092; doi: 10.1115/1.4035727 History: Received June 02, 2016; Revised January 08, 2017

This study evaluates the plastic responses of thick cylinders made of transversely isotropic materials under mechanical cyclic loads, using the kinematic hardening theory of plasticity. The Hill yield criterion is adapted to the kinematic hardening theory of plasticity. The constitutive equations of plastic strains are obtained using the adapted yield criterion. The flow rule based on the kinematic hardening theory of plasticity associated with the Hill yield criterion is represented to evaluate the cyclic behavior of transversely isotropic cylindrical vessels. A numerical method is proposed to calculate the stresses and plastic strains in this structure due to the cycling of pressure at its inside surface. The numerical solution is validated simplifying the results with those of isotropic materials. Using the proposed method, the effect of anisotropy on ratcheting and shakedown response of the vessel is evaluated. It has been shown that the ratcheting or shakedown response of the vessel and the rate of ratcheting are highly affected by the anisotropy ratio. The numerical results of this paper show that the yield strength ratio, which is affected by initial work hardening of the metal, may control the ratcheting behavior of the cylindrical vessels.

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References

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Figures

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Fig. 1

Numerical analysis flowchart

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Fig. 2

Comparison with Ref. [25] at the inside surface

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Fig. 3

Comparison with FEM

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Fig. 4

Mechanical cyclic loading (P model)

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Fig. 5

Mechanical cyclic loading (A-F model)

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Fig. 6

Effect of anisotropy on equivalent strain

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Fig. 7

Effect of anisotropy on equivalent stress

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Fig. 8

Effect of pressure amplitude on equivalent strain

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Fig. 9

Effect of pressure amplitude on equivalent stress

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Fig. 10

Effect of yield stress ratio on equivalent strain

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Fig. 11

Effect of yield stress ratio on equivalent stress

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