Hostname: page-component-84b7d79bbc-7nlkj Total loading time: 0 Render date: 2024-07-25T11:27:31.093Z Has data issue: false hasContentIssue false
  • English
  • Français

Inversion of Residual Stress

Published online by Cambridge University Press:  05 May 2011

M. K. Kuo  and
H. T. Lee
M. K. Kuo*
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
H. T. Lee*
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
*
* Professor
* Formal graduate student, now at Chung-Shan Institute of Science and Technology
Get access

Abstract

A technique for inverting residual stress based on a theory of acoustoelasticity is presented. A general incremental constitutive relation is first derived for a pre-stressed material subjected to an additional infinitesimal elastic deformation. The theory is then employed on using ultrasonic means to evaluate residual stresses of residually stressed materials. The residual stresses are assumed to be homogeneous in materials as usual. The only major assumption in this formulation is that the additional deformations caused by ultrasonic evaluating process are infinitesimal and elastic. No assumption on the origin of residual stresses is needed, nor the assumption on the possible existence of “natural state” of the materials. Successful inversion of residual stresses are demonstrated through a preliminary numerical experiment.

Keywords

Residual stressacoustoelasticityoptimization
Type
Articles
Information
Journal of Mechanics , Volume 17 , Issue 2 , June 2001 , pp. 103 - 108
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1Lu, J., Handbook of Measurement of Residual Stresses, The Fairmont Press Inc. (1996).Google Scholar
2Pao, Y-H, Sachse, W. and Fukuoka, H., “Acoustoelasticity and ultrasonic measurements of residual stresses,” Physical Acoustics, Vol. XVII, pp. 61–143 (1984).Google Scholar
3Johnson, G. C., “On the applicability of acoustoelastic for residual stress determination,” J. Appl. Mech., Vol. 48, pp. 791–795 (1981).Google Scholar
4Johnson, G. C., “Acoustoelastic theory for elastic-plastic materials,” J. Acoust. Soc. Am., Vol. 70, No. 2, pp. 591–595 (1981).CrossRefGoogle Scholar
5Thompson, R. B., Lee, S. S. and Smith, J. F., “Angular dependence of ultrasonic wave propagation in a stressed orthorhombic continuum: Theory and application to the measurement of stress and texture,” J. Acoust. Soc. Am., Vol. 80, No. 3, pp. 921–931 (1986).Google Scholar
6Man, C.-S. and Lu, W. Y., “Towards an acoustoelastic theory for measurement of residual stress,” J. Elasticity, Vol. 17, pp. 159–182 (1987).Google Scholar
7Hoger, A., “On the determination of residual stress in an elastic body,” J. Elasticity, Vol. 16, pp. 303–324 (1986).Google Scholar
8Man, C.-S. and Carlson, D. E. “On the traction problem of dead loading in linear elasticity with initial stress,” Arch. Rational Mech. Anal., Vol. 128, pp. 223–247 (1994).Google Scholar
9Trusdell, C. and Noll, W., The Non-Linear Field Theories of Mechanics, Springer-Verlag (1965).Google Scholar
10Mase, G. T. and Johnson, G. C., “An acoustoelastic theory for surface waves in anisotropic media,” J. Appl. Mech., Vol. 54, pp. 127–135 (1987).Google Scholar