Research Papers: Design and Analysis

Plastic Response Estimation in Repeated Elastic Analyses for Strain Hardening Material Model

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

Babcock and Wilcox Canada Ltd.,
Cambridge, ON, N1R 5V3, Canada
e-mail: slm305@mun.ca

R. Adibi-Asl

Toronto, ON, M5G 1E6, Canada
e-mail: reza.adibiasl@amec.com

C. G. Daley

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

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the Journal of Pressure Vessel Technology. Manuscript received August 8, 2012; final manuscript received April 10, 2013; published online August 26, 2013. Assoc. Editor: Haofeng Chen.

J. Pressure Vessel Technol 135(5), 051201 (Aug 26, 2013) (11 pages) Paper No: PVT-12-1124; doi: 10.1115/1.4024448 History: Received August 08, 2012; Revised April 10, 2013

Simplified limit analysis techniques have already been employed for limit load estimation on the basis of linear elastic finite element analysis (FEA) assuming elastic-perfectly-plastic material model. Due to strain hardening, a component or a structure can store supplementary strain energy and hence carries additional load. In this paper, an iterative elastic modulus adjustment scheme is developed in context of strain hardening material model utilizing the “strain energy density” theory. The proposed algorithm is then programmed into repeated elastic FEA and results from the numerical examples are compared with inelastic FEA results.

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Fig. 1

Reference two bar model

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Fig. 2

Reference stress variation in a two bar structure

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Fig. 3

Schematic of the ESED method

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Fig. 4

Full EMAP Flow Diagram for Limit Load Estimation

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Fig. 5

Schematic of the strain hardening material model

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Fig. 6

Proposed Partial EMAP Flow Diagram for Strain Hardening Material Model

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Fig. 8

Variation of limit load multipliers with iterations (Applied load = 100 MPa)

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Fig. 9

Load-deflection curve for plate with a hole

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Fig. 10

Variation of stress with iterations

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Fig. 11

Variation of strain with iterations

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Fig. 12

Normalized stress–strain plot

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Fig. 13

Comparison of load-deflection behavior

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Fig. 14

Single stiffened plate (dimensions in mm)

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Fig. 15

Variation of limit load multipliers with iterations (applied load = 34.92 MPa)

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Fig. 16

Comparison of load-deflection behavior



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