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TECHNICAL PAPERS

Limit Loads for Layered Structures Using Extended Variational Principles and Repeated Elastic Finite Element Analysis

[+] Author and Article Information
L. Pan

Babcock & Wilcox Canada, Cambridge, ON N1R 5V3, Canadae-mail: lpan@babcock.com

R. Seshadri

Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John’s, NF A1B 3X5, Canadae-mail: sesh@engr.mun.ca

J. Pressure Vessel Technol 124(4), 425-432 (Nov 08, 2002) (8 pages) doi:10.1115/1.1498845 History: Received February 15, 2001; Revised June 05, 2002; Online November 08, 2002
Copyright © 2002 by ASME
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References

Marriott, D. L., 1988, “Evaluation of Deformation or Load Control of Stresses Under Inelastic Conditions Using Elastic Finite Element Stress Analysis,” ASME PVP-Vol. 136, pp. 3–9.
Seshadri, R., and Fernando, C. P. D., 1991, “Limit Loads of Mechanical Components and Structures Based on Linear Elastic Solutions Using the GLOSS R-Node Method,” ASME PVP-Vol. 210-2, pp. 125–134.
Mackenzie,  D., and Boyle,  J. T., 1993, “A Method of Estimating Limit Loads by Iterative Elastic Analysis I: Simple Examples,” Int. J. Pressure Vessels Piping, 53, pp. 77–95.
Seshadri,  R., and Mangalaramanan,  S. P., 1997, “Lower Bound Limit Loads Using Variational Concepts: The mα-method,” Int. J. Pressure Vessels Piping, 71, pp. 93–106.
Ponter,  A. R. S., Fuschi,  P., and Engelhardt,  M., 2000, “Limit Analysis for a General Class of Yield Conditions,” Eur. J. Mech. A/Solids, 19, pp. 401–421.
Ponter,  A. R. S., and Engelhardt,  M., 2000, “Shakedown Limits for a General Yield Condition,” Eur. J. Mech. A/Solids, 19, pp. 423–445.
Ponter, A. R. S., and Chen, H., 2001, “A Programming Method for Limit Load and Shakedown Analysis of Structures,” ASME PVP-Vol. 430, pp. 155–160.
Mura,  T., Rimawi,  W. H., and Lee,  S. L., 1965, “Extended Theorems of Limit Analysis,” Q. Appl. Math., 23, pp. 171–179.
Reinhardt, W. D., and Seshadri, R., 2002, “Limit Load Bounds for the mα Multiplier,” Report No. 01; Mechanics, Structures and Materials Group; Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John’s, Newfoundland, Canada.
ANSYS, 1998, Educational Version 5.5, SAS IP, Inc.

Figures

Grahic Jump Location
Regions of lower boundedness of mα
Grahic Jump Location
Variation of multipliers with iterations for two-layered cylinder
Grahic Jump Location
Variation of multipliers with iterations for two-layered beam
Grahic Jump Location
Variation of multipliers with iterations for three-layered cylinder, Case 1
Grahic Jump Location
Variation of multipliers with iterations for three-layered cylinder, Case 2
Grahic Jump Location
Variation of multipliers with iterations for three-layered beam, Case 1
Grahic Jump Location
Variation of multipliers with iterations for three-layered beam, Case 2

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