Application of Minature Ring-Core and Interferometric Strain/Slope Rosette to Determine Residual Stress Distribution With Depth—Part I: Theories

[+] Author and Article Information
Keyu Li

Department of Mechanical Engineering, Oakland University, Rochester, MI 48309kli@oakland.edu

Wei Ren

Department of Mechanical Engineering, Oakland University, Rochester, MI 48309weiren74@hotmail.com

J. Appl. Mech 74(2), 298-306 (Feb 05, 2006) (9 pages) doi:10.1115/1.2198251 History: Received May 06, 2004; Revised February 05, 2006

The principle of an interferometric strain/slope rosette (ISSR) is based on interference of laser beams reflected from three microindentations on a specimen surface. The ISSR can simultaneously measure the in-plane strains and the out-of-plane slopes. Ring-core cutting is a mechanical stress relief method. When used with the ISSR technique for residual stress measurement, the ring core can be made much smaller than used with the resistance strain rosette. Thus, more localized residual stresses can be measured. The theories of the ISSR/ring-core cutting method are described in this paper. Both mechanical and finite element models are developed for the incremental ring-core cutting process with the application of the ISSR technique. The stress-strain coefficients of the ISSR/ring-core method are calculated and nondimensionalized for general applications. A test example is given to demonstrate how residual stress distribution is determined by using the stress-strain coefficients and the ISSR data.

Copyright © 2007 by American Society of Mechanical Engineers
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Figure 1

60deg ISSR with three hexagonal pyramidal indentations

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Figure 2

Schematic diagram of ring core and ISSR

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Figure 3

Schematic diagram of rectangular and polar coordinates for the ISSR/ring-core method

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Figure 4

Mechanical model used to calculate the relaxation matrices K11−K33

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Figure 5

Geometry of finite element model

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Figure 6

Finite element mesh of local ring-core area

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Figure 7

Top surface of spot-weld coupon

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Figure 8

Bottom surface of spot-weld coupon after the ring-core cutting

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Figure 9

Cumulative relieved strains of ultrasonic spot weld

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Figure 10

Residual stress distribution of ultrasonic spot weld





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