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Research Papers: Design and Analysis

Elastic–Brittle–Plastic Analysis of Double-Layered Combined Thick-Walled Cylinder Under Internal Pressure

[+] Author and Article Information
Qian Zhu

School of Civil Engineering,
Chang’ an University,
Xi'an, Shaanxi 710061, China
e-mail: zhuqianchd@126.com

Junhai Zhao

School of Civil Engineering,
Chang’ an University,
Xi'an, Shaanxi 710061, China
e-mail: zhaojh@chd.edu.cn

Changguang Zhang

School of Civil Engineering,
Chang’ an University,
Xi'an, Shaanxi 710061, China
e-mail: zcg1016@163.com

Yan Li

School of Civil Engineering,
Chang’ an University,
Xi'an, Shaanxi 710061, China
e-mail: liyanlwbdlp@126.com

Su Wang

School of Civil Engineering,
Chang’ an University,
Xi'an, Shaanxi 710061, China
e-mail: wangsuchd@126.com

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received July 29, 2014; final manuscript received July 13, 2015; published online August 25, 2015. Assoc. Editor: David L. Rudland.

J. Pressure Vessel Technol 138(1), 011201 (Aug 25, 2015) (7 pages) Paper No: PVT-14-1114; doi: 10.1115/1.4031078 History: Received July 29, 2014

The elastic–brittle–plastic unified solutions of limit internal pressure are presented for double-layered combined thick-walled cylinder by the triple-shear unified strength criterion. The unified solutions obtained in this paper are especially versatile that can take into account of material brittle softening and intermediate principal stress quantitatively. The conventional existing elastic-perfectly plastic solutions, based on the Tresca yield criterion, Mises yield criterion, or twin-shear strength theory, can be categorized as special cases of the present unified solutions which can overcome their shortages. Parametric studies were carried out to evaluate the influences of various factors such as brittle softening parameter, strength theory parameter, cohesion, internal friction angle, and intermediate principal stress coefficient on the unified solutions. It is shown that proper choices of failure criterion, material behavior model, and brittle softening are significant in combined cylinder design. The new solutions can be naturally degraded to the existing formula and agree well with the results of the prevailing failure criteria. It is concluded that the unified solutions have an important practical value for the optimum design and engineering application of combined thick-walled cylinder.

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References

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Figures

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Fig. 1

Limit loci of triple-shear unified strength criterion [14]. (a) α = 1 and (b) 0 < α < 1.

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Fig. 2

The elastic–brittle–plastic model

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Fig. 3

Mechanical model of single-layer thick-walled cylinder

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Fig. 4

Double-layered combined thick-walled cylinder

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Fig. 5

pu3 versus the coefficients β1 and β2. (a) Effect of β1 on pu3 and (b) effect of β2 on pu3.

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Fig. 6

pemax versus the coefficients m and b

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Fig. 7

pu1 and pu3 versus the coefficients m and b. (a) Effect of m and b on pu1 and (b) effect of m and b on pu3.

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Fig. 8

pu1 versus the coefficients φ0 and c0 with different ro/ri. (a) Effect of φ0 on pu1 and (b) effect of c0 on pu1.

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Fig. 9

pu3 versus the coefficients φ1 and c1 with different ro/rc. (a) Effect of φ1 on pu3 and (b) effect of c1 on pu3.

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