Cross-Sectional Mapping of Residual Stresses by Measuring the Surface Contour After a Cut

[+] Author and Article Information
M. B. Prime

Engineering Sciences & Applications Division, Los Alamos National Laboratory, Los Alamos, NM 87545e-mail: prime@lanl.gov

J. Eng. Mater. Technol 123(2), 162-168 (Nov 03, 2000) (7 pages) doi:10.1115/1.1345526 History: Received February 01, 2000; Revised November 03, 2000
Copyright © 2001 by ASME
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Superposition principle to calculate residual stresses from surface contour measured after cutting a part in two
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Surface tractions equivalent to releasing residual stress on cut surface. Normal traction Tx is symmetric about cut plane, transverse Ty is anti-symmetric. Illustrated for σx negative and τxy positive.
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Finite element simulation, deformed shape of beam after separating along midplane.
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Simulated contour method results for residual stress profile of beam with no shear stresses on cut plane.
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Simulated contour method results from beam with shear stresses along cut plane when only the normal component (x) of surface contour is measured
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Clamping arrangement during wire EDM cutting of beam
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1-D surface contour measured on both halves of the cut beam. Zero is arbitrary, so the shift between the two profiles is irrelevant.
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2-D surface contour measured on side two of beam, fitted to bivariate Fourier series
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2-D finite element model of beam after measured contour has been applied as displacement boundary condition. For clarity, only a few elements are shown.
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1-D residual stress results from contour method measurements on bent beam
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3-D finite element model after measured contour has been applied as displacement boundary condition
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Cross-sectional residual stress map from contour method test on bent beam, stresses are in MPa
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Measured surface curvature effects depending on cutting conditions. See Fig. 6 for cutting direction.




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