Yield Criteria for the Elastic-Plastic Design of Tubesheets With Triangular Penetration Pattern

Author:

Reinhardt Wolf D.1

Affiliation:

1. Babcock & Wilcox Canada, 581 Coronation Boulevard, Cambridge, Ontario, Canada N1R 5V3

Abstract

To perform an elastic-plastic finite element analysis of a tubesheet, the anisotropic stiffness and yield properties of the perforated region are represented by an equivalent solid plate. Traditional anisotropic yield criteria (like Hill’s criterion) do not give accurate predictions under general biaxial loading because they neglect the plastic compressibility of the perforated material. A compressible-anisotropic second-order yield criterion is derived which can model both the actual out-of-plane and in-plane behavior. Using an equivalent stress vector, the in-plane symmetry properties of the second-order compressible model are examined for a triangular penetration pattern. Generally, the tubesheet symmetry is not precisely reflected by this model. Additional planes of symmetry can be introduced with a higher-order yield function. A fourth-order yield function with the required symmetry properties is presented which is in excellent agreement with the response of a finite element, elastic-plastic model of a tubesheet ligament under in-plane biaxial loading.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Safety, Risk, Reliability and Quality

Reference9 articles.

1. ASME Boiler and Pressure Vessel Code, 1998, Section III, Division 1, New York, NY.

2. Porowski, J. S., and O’Donnell, W. J., 1978, “Elastic Design Methods for Perforated Plates,” ASME J. Eng. Power, 100, pp. 356–362.

3. Pai, D. H., and Hsu, M. B., 1975, “Inelastic Analysis of Tubesheets by the Finite Element Method,” ASME Paper No. 75-PVP-57.

4. Jones, D. P., and Gordon, J. L., 1979, “Elasto-Plastic Analysis of Perforated Plates Containing Triangular Perforation Patterns of 10 Percent Ligament Efficiency,” ASME Paper No. 79-PVP-32.

5. Hill, R., 1950, The Mathematical Theory of Plasticity, Oxford University Press, Oxford, UK.

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