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RESEARCH PAPER

Limit Load of Anisotropic Components Using the M-Beta Multiplier Method

[+] Author and Article Information
H. Indermohan, R. Seshadri

Faculty of Engineering and Applied Science, Memorial University, St. John’s, Canada

W. D. Reinhardt

Babcock and Wilcox Company, Cambridge, Ontario, Canada

J. Pressure Vessel Technol 126(4), 455-460 (Dec 01, 2004) (6 pages) doi:10.1115/1.1811104 History: Received April 29, 2004; Revised July 30, 2004; Online December 01, 2004
Copyright © 2004 by ASME
Topics: Stress
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References

ASME Boiler and Pressure Vessel Code, 2001, Section III.
ASME Boiler and Pressure Vessel Code, 2001, Section VIII.
Seshadri,  R., 1991, “The Generalized Local Stress Strain (GLOSS) Analysis-Theory and Applications,” ASME J. Pressure Vessel Technol., 113, pp. 219–227.
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Mackenzie,  D., and Boyle,  J. T., 1993, “A Method of Estimating Limit Loads Using Elastic Analysis, I: Simple Examples,” Int. J. Pressure Vessels Piping, 53, pp. 77–85.
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.
Mura,  T., Rimawi,  W. H., and Lee,  S. L., 1965, “Extended Theorems of Limit Analysis,” Q. Appl. Math., 23, pp. 171–179.
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.
Pan, L., and Seshadri, R., 2001, “Limit Load Estimation using Plastic Flow Parameter in Repeated Elastic Finite Element Analysis,” ASME-PVP-Vol. 430 , pp. 145–150.
Reinhardt,  W. D., and Seshadri,  R., 2003, “Limit Load Bounds for the mα-multiplier,” ASME J. Pressure Vessel Technol., 125, pp. 34–56.
Seshadri, R., and Indermohan, H., 2003, “Lower Bound Limit Load Determination: The mβ-Multiplier Method,” Presented at ASME-PVP Conference, Cleveland, OH, USA.
Reinhardt, W. D., 1998, “Yield Criteria for the Elastic-Plastic Design of Tubesheets with Triangular Perforation Pattern,” ASME-PVP-Vol. 370 , pp. 113–119.
Reinhardt, W. D., 1999, “A Fourth-Order Equivalent Solid Model for Tubesheet Plasticity,” ASME-PVP-Vol. 385 , pp. 151–157.
Hill, R., 1950, The Mathematical Theory of Plasticity, Oxford Science Publications.
Shih,  C. F., and Lee,  D., 1978, “Further Developments in Anisotropic Plasticity,” J. Eng. Mater. Technol., 100, pp. 294–302.
Valliappan,  S., Boonlaulohr,  P., and Lee,  I. K., 1976, “Non-linear Analysis for Anisotropic Materials,” Int. J. Numer. Methods Eng., 10, pp. 597–606.
Rimawi, W. H., Mura, T., and Lee, S. L., 1966, “Extended Theorems of Limit Analysis of Anisotropic Solids,” Developments in Theoritical and Applied Mechanics, Proceedings of the Third Southeastern Conference on Theoretical and Applied Mechanics, Volume 3, Columbia, SC, USA, pp. 57–71.
Mura, T., Lee, S. L., and Rimawi, W. H., 1968, “A Variational Method for Limit Analysis of Anisotropic and Non-homogeneous Solids,” Developments in Theoritical and Applied Mechanics, Proceedings of the Fourth Southeastern Conference on Theoretical and Applied Mechanics, Volume 4, New Orleans, LA, USA, pp. 541–549.
Pan, L., and Seshadri, R., 2002, “Limit Analysis for Anisotropic Solids using Variational Principle and Repeated Elastic Finite Element Analyses,” ASME- PVP-Vol. 442 , pp. 149–155.
Reinhardt, W. D., and Mangalaramanan, S. P., 1999, “Efficient Tubesheet Design Using Repeated Elastic Limit Analysis,” ASME-PVP 385 , pp. 141–149.
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Sullivan, R. C., Kizhatil, R., and McClellan, G. H., 1997, “Correction of Equivalent Elastic-Plastic Anisotropic Properties of Thick Tubesheets to Preclude Overstiff Response to Monotonic Loading,” ASME-PVP-Vol. 354 , pp. 121–126.
Jones, D. P., and Gordon, J. L., 2001, “Collapse Surfaces for Perforated Plates with Triangular Penetration Patterns for Ligament Efficiencies Between 0.05–0.5,” presented at ASME-PVP Conference, Atlanta, GA.

Figures

Grahic Jump Location
Orthotropic cylinder under internal pressure
Grahic Jump Location
Transversely isotropic Bridgman notch specimen
Grahic Jump Location
Equivalent solid model of a tubesheet
Grahic Jump Location
Heat exchanger tubesheet—Hill’s criterion
Grahic Jump Location
Heat exchanger tubesheet—fourth order criterion

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