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Research Papers: Design and Analysis

Plastic Collapse Assessment of Thick Vessels Under Internal Pressure According to Various Hardening Rules

[+] Author and Article Information
A. Chaaba1

Department of Mechanical Engineering and Structures, National Higher School of Engineering (ENSAM), Marjane II, Beni M’hamed, B.P. 4024, Meknès, 50 000 Moroccoa.chaaba@yahoo.com

1

Corresponding author.

J. Pressure Vessel Technol 132(5), 051207 (Aug 31, 2010) (8 pages) doi:10.1115/1.4001272 History: Received September 17, 2009; Revised January 29, 2010; Published August 31, 2010; Online August 31, 2010

This paper aims to deal with plastic collapse assessment for thick vessels under internal pressure, thick tubes in plane strain conditions, and thick spheres, taking into consideration various strain hardening effects and large deformation aspect. In the framework of von Mises’ criterion, strain hardening manifestation is described by various rules such as isotropic and/or kinematic laws. To predict plastic collapse, sequential limit analysis, which is based on the upper bound formulation, is used. The sequential limit analysis consists in solving sequentially the problem of the plastic collapse, step by step. In the first sequence, the plastic collapse of the vessel corresponds to the classical limit state of the rigid perfectly plastic behavior. At the end of each sequence, the yield stress and/or back-stresses are updated with or without geometry updating via displacement velocity and strain rates. The updating of all these quantities (geometry and strain hardening variables) is adopted to conduct the next sequence. As a result of this proposal, we get the limit pressure evolution, which could cause the plastic collapse of the device for different levels of hardening and also hardening variables such as back-stresses with respect to the geometry change.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

Normalized limit pressures versus a/a0 (perfectly plastic material)

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Figure 2

Normalized limit pressures versus a/a0 (nonlinear kinematic hardening according to AF rule)

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Figure 3

Hoop back-stresses with respect to a/a0 (nonlinear kinematic hardening according to AF rule)

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Figure 4

The hoop back-stress distribution over the radius (nonlinear kinematic hardening according to AF rule)

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Figure 5

Normalized limit pressures versus a/a0 (isotropic hardening according to Voce’s and Swift’s laws)

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Figure 6

Normalized limit pressures versus the ratio a/a0 (isotropic hardening according to Voce’s and Swift’s laws)

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Figure 7

Normalized limit pressures versus the ratio a/a0 (mixed isotropic/kinematic hardening)

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Figure 8

Hoop back-stresses with respect to the ratio a/a0 (mixed hardening according to the Voce-AF law)

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Figure 9

Normalized limit pressures versus a/a0 (nonlinear kinematic hardening according to AF rule with geometry updating)

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Figure 10

Normalized limit pressures versus a/a0 (nonlinear kinematic hardening according to AF rule without geometry updating with initial values of back-stresses: Xr0=−25.0 MPa and Xθ0=10.0 MPa)

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