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Research Papers: Design and Analysis

Shakedown Analysis of a Composite Cylinder With a Cross-Hole

[+] Author and Article Information
Haofeng Chen1

Department of Mechanical Engineering, University of Strathclyde, Glasgow G1 1XJ, UKhaofeng.chen@strath.ac.uk

Weihang Chen, Tianbai Li, James Ure

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

1

Corresponding author.

J. Pressure Vessel Technol. 133(3), 031206 (Apr 04, 2011) (9 pages) doi:10.1115/1.4002264 History: Received April 23, 2010; Revised July 12, 2010; Published April 04, 2011; Online April 04, 2011

In this study, both the lower and upper bound shakedown limits of a closed-end composite cylinder with or without a cross-hole subject to constant internal pressure and a cyclic thermal gradient are calculated by the linear matching method. Convergence for the upper and lower bound shakedown limits of the composite cylinders is sought and shakedown limit interaction diagrams of the numerical applications identifying the regions of reverse plasticity limit and ratchet limit are presented. The effects of temperature-dependent yield stress, material discontinuities, composite cylinder thickness, and the existence of the cross-hole on the shakedown limits are discussed for different geometry parameters. Finally, a safety shakedown envelope is created by formulating the shakedown limit results of different composite materials and cylinder thickness ratios with different cross-hole sizes.

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Copyright © 2011 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

LMM flow diagram for i+1 iteration step

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Figure 2

Geometrical shape of the composite cylinder

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Figure 3

Quarter finite element models for different material ratios

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Figure 4

(a) Upper and lower bounds shakedown limit interaction curves of the composite cylinder. (b) The convergence condition of iterative processes for shakedown analysis (point A and A∗, subjected to cyclic thermal loads only) (Vs/VA=1, Ro/Ri=1.75, and ri/Ri=0.1).

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Figure 5

ABAQUS verification using step by step analysis for (a) the reverse plasticity limit and (b) the ratchet limit

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Figure 6

Shakedown limit interaction curves of the composite cylinder for different composite material ratios without a cross-hole

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Figure 7

Shakedown limit interaction curves of the composite cylinder (Ro/Ri=1.5) for different composite material ratios with different cross-hole ratios: (a) ri/Ri=0.3, (b) ri/Ri=0.2, and (c) ri/Ri=0.1

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Figure 8

Shakedown limit interaction curves of the composite cylinder (Ro/Ri=1.5) with different hole radius ratios and different composite material ratios: (a) Vs/VA=1/3, (b) Vs/VA=1, and (c) Vs/VA=3

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Figure 9

Shakedown limit interaction curves for the composite cylinder (Vs/VA=1) with different thickness radius ratios and different hole radius ratios: (a) without hole, (b) ri/Ri=0.1, (c) ri/Ri=0.2, and (d) ri/Ri=0.3

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Figure 10

Elastic shakedown design regions for composite cylinders

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Figure 11

Influence functions for reverse plasticity limits against (a) cross-hole ratio, (b) steel to aluminum ratio, and (c) thickness ratio

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Figure 12

Influence functions for limit pressures against (a) cross-hole ratio, (b) steel to aluminum ratio, and (c) thickness ratio

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Figure 13

Influence functions for the design slope of the ratchet limit curve against (a) cross-hole ratio, (b) steel to aluminum ratio, and (c) thickness ratio

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