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Research Papers: Design and Analysis

Variational and Classical Methods for Limit Load Analysis of Inhomogeneous Media

[+] Author and Article Information
R. Adibi-Asl1

Faculty of Engineering and Applied Science, Memorial University, St. John’s, NL, A1B 3X5, Canadareza.adibiasl@amec.com

R. Seshadri

Faculty of Engineering and Applied Science, Memorial University, St. John’s, NL, A1B 3X5, Canada

1

Present address: AMEC NSS Ltd., 393 University Avenue, Toronto, ON, M5G 1E6, Canada

J. Pressure Vessel Technol 132(6), 061208 (Oct 19, 2010) (7 pages) doi:10.1115/1.4001219 History: Received September 13, 2009; Revised December 07, 2009; Published October 19, 2010; Online October 19, 2010

The load carrying capacity of a component or structure with varying material properties (inhomogeneous) is investigated using various lower- and upper-bound limit load multipliers in the context of variational principles. In order to evaluate the different limit load multipliers, the elastic modulus adjustment procedure is used to obtain statically admissible stress and kinematically admissible strain fields. The proposed upper and lower bound limit load estimates are compared with the results obtained from inelastic finite element analysis for two- and three-dimensional geometries.

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Copyright © 2010 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Finite element discretization of a body

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Figure 2

EMAP flow diagram

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Figure 4

Convergence of the different limit load multipliers with EMAP iterations for two-bar model

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Figure 5

Thick-walled cylinder: (a) geometry and dimensions; (b) finite element mesh (a quarter model)

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Figure 6

Convergence of the limit load multipliers for thick-walled cylinder

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Figure 7

Plate with a hole: (a) schematic geometry and loading; (b) finite element mesh (a quarter model)

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Figure 8

Variation in the limit load multipliers for a plate with a hole

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