Material Models for the Finite Element Analysis of Materials Exhibiting a Pronounced Bauschinger Effect

[+] Author and Article Information
Rolf R. de Swardt

 Denel (Pty) Ltd., PO Box 7710, Pretoria, 0001, South Africafeadoctor@yahoo.com

J. Pressure Vessel Technol 128(2), 190-195 (Jan 09, 2006) (6 pages) doi:10.1115/1.2172967 History: Received December 23, 2005; Revised January 09, 2006

Realistic material models have been developed on the basis of the experimental investigation of reverse loading with actual Bauschinger effect and implemented into a two-dimensional finite element computer program. The developed program is capable of treating the elastoplastic deformation behavior of thick-walled cylinders during both loading and unloading phases. Strain hardening may occur during loading, and reverse yielding may occur during unloading at a yield strength significantly reduced due to the Bauschinger effect. Three different models for the reverse hardening are presented. Strain hardening during reverse yielding may have a different slope than for forward loading, and it may also be nonlinear. The intended application is for autofrettage analysis of thick-walled cylinders. Being a numerical solution, it will also be very useful for finite element analysis of residual stress experimental procedures and also in the determination of more accurate stress intensity factors for autofrettaged cylinders that had undergone reverse yielding due to the Bauschinger effect.

Copyright © 2006 by American Society of Mechanical Engineers
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Figure 1

Stress-strain curve during loading and unloading for material exhibiting large Bauschinger effect

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Figure 2

BEF as a function of overstrain (Blackbeard (9) using 0.1% offset)

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Figure 3

Independent bilinear constant parameter material model

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Figure 4

Independent bilinear model with variable material parameters

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Figure 5

Variation of Y∗∕Y0 with monotonic plastic strain (Blackbeard (9) using 0.025% offset)

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Figure 6

Reverse hardening behavior of Blackbeard's (9) reworked experimental data on a log-log plot

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Figure 7

Case 1: Residual hoop stress distribution

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Figure 8

Case 2: Residual hoop stress distribution showing effect of reduced compressive yield stress

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Figure 9

Case 3: Residual hoop stress distribution showing combined Bauschinger and hardening effect

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Figure 10

Single-element FE model

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Figure 11

Results of the single-element FE model test compared with the stress-strain experimental data of Blackbeard



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