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TECHNICAL PAPERS

Limit Loads Using Extended Variational Concepts in Plasticity

[+] Author and Article Information
R. Seshadri

Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John’s, Newfoundland, Canada A1B 3X5e-mail: sesh@engr.mun.ca

J. Pressure Vessel Technol 122(3), 379-385 (Apr 03, 2000) (7 pages) doi:10.1115/1.556196 History: Received February 01, 2000; Revised April 03, 2000
Copyright © 2000 by ASME
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References

ASME Boiler and Pressure Vessel Code, 1998, Section III, Division 1, The American Society of Mechanical Engineers, New York, NY.
Paster, T. P., and Hechmer, J. L., 1994, “ASME Task Group Report on Primary Stress,” Proc., ASME PVP Conf., San Diego, CA, Vol. 277, pp. 67–68.
Ainsworth, R. A., 1989, “Approximate Nonlinear Fracture Mechanics Calculations using Reference Stress Techniques,” Proc., ASME PVP Conf., Honolulu, Hawaii, Vol. 170, pp. 13–19.
Jones, G. L., and Dhalla, A. K., 1981, “Classification of Clamp Induced Stresses in Thin Walled Pipe,” Proc. ASME PVP Conf., Denver, CO, Vol. 81, pp. 17–23.
Marriott, D. L., 1988, “Evaluation of Deformation or Load Control of Stresses under Inelastic Conditions using Elastic Finite Element Stress Analysis,” Proc. ASME PVP Conf., Pittsburgh, PA, Vol. 136, pp. 3–9.
Seshadri, R., and Fernando, C. P. D., 1991, Proc. ASME PVP Conf., San Diego, CA, 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., 1991, “The Generalized Local Stress Strain (GLOSS) Analysis—Theory and Applications,” ASME J. Pressure Vessel Technol., 113, pp. 219–227.
Mura,  T., Rimawi,  W. H., and Lee,  S. L., 1965, “Extended Theorems of Limit Analysis,” Q. Appl. Math., 23, pp. 171–179.
Hoff,  N. J., 1954, “Approximate Analysis of Structures in the Presence of Moderately Large Creep Deformations,” Q. Appl. Math., 12, pp. 49–55.
Calladine,  C. R., and Drucker,  D. C., 1962, “A Bound Method for Creep Analysis of Structures: Direct Use of Solutions in Elasticity and Plasticity,” J. Mech. Eng. Sci., 4, No. 1, pp. 1–11.
Boyle, J. T., 1999, “Nesting Surface Theorems for Non-homogeneous Materials,” personal communication.
Prager, W., and Hodge, P. G., 1951, Theory of Perfectly Plastic Solids, Dover Publications, New York, NY.
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.
Mangalaramanan, S. P., 1997, “Robust Limit Loads using Elastic Modulus Adjustment Techniques,” Ph.D. thesis, Faculty of Engineering and Applied Science, Memorial University of Newfoundland.

Figures

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Relaxation locus, constraint parameter, and reference stress
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Nesting surfaces of dissipation—two-bar structure; (a) a pin-jointed two-bar structure, (b) nesting surfaces in generalized load space for the two-bar structure
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m0 and m versus iteration variable, ζ
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Identification of the reference volume, VR
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Leapfrogging to the limit state
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Determination of mα—a graphical interpretation
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Torispherical head geometry
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Torispherical head: m0,m, and mα versus V/VT
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Nonsymmetric plate structure

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