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Research Papers: Design and Analysis

Limit Load Evaluation Using the mα-Tangent Multiplier in Conjunction With Elastic Modulus Adjustment Procedure

[+] Author and Article Information
S. L. Mahmood

e-mail: slm305@mun.ca

R. Seshadri

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

1Corresponding author. Present address: Babcock and Wilcox Canada Ltd., Cambridge, Ontario.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received September 26, 2012; final manuscript received March 31, 2013; published online August 30, 2013. Assoc. Editor: Wolf Reinhardt.

J. Pressure Vessel Technol 135(5), 051203 (Aug 30, 2013) (9 pages) Paper No: PVT-12-1157; doi: 10.1115/1.4024452 History: Received September 26, 2012; Revised March 31, 2013

In this paper, the mα-tangent multiplier is used in conjunction with the elastic modulus adjustment procedure (EMAP) for limit load determination. This technique is applied to a number of mechanical components possessing different kinematic redundancies. By specifying spatial variations in the elastic modulus, numerous sets of statically admissible and kinematically admissible stress and strain distributions are generated, and limit loads for practical components are then determined using the mα-tangent method. The procedure ensures sufficiently accurate limit loads within a reasonable number of iterations. Results are compared with the inelastic finite element results and are found to be in satisfactory agreement.

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References

Figures

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Fig. 1

Finite element discretization of a body

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Fig. 2

The mα-tangent construction plot

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Fig. 3

Blunting of Peak Stresses (refer to Fig. 2)

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Fig. 7

Results for reinforced axisymmetric nozzle

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Fig. 8

Flat thin head model

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Fig. 6

Reinforced axisymmetric nozzle model

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Fig. 4

EMAP flow diagram for estimating limit load

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Fig. 5

Bounds for mαT on the constraint map

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Fig. 9

Results for flat thin head

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Fig. 10

Grillage model (dimensions in millimeter)

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Fig. 11

Results for grillage model

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