An account of plasticity in the hole-drilling method of residual stress measurement

Abstract

The elastic-plastic stress-strain field produced in a thin plate under equibiaxial loading during the operation of drilling a through-thickness hole was analysed. The plane stress condition and Tresca yield criterion were assumed for an elastic-perfectly plastic material. These hypotheses allowed the problem to be formulated by means of ordinary differential equations which were analytically solved. Within these particular conditions, the results gave indications of the effect produced by plasticity on the widely used hole-drilling method for residual stress measurement. In particular, the equality of final results with those obtained for a plate with a pre-existing hole loaded in an elastic-plastic regime gives useful indications for the experimental analysis of the effect of plasticity on residual stress measurement.

Keywords

plasticity Tresca yield criterion hole drilling equibiaxial stress residual stress measurement

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References

ASTM E837–89 Standard Test Method for Determining Residual Stress by the Hole-Drilling Strain-Gage Method, 1989 (American Society for Testing and Materials, Philadelphia, Pa.).

Beaney

E. M.

Procter

‘A critical evaluation of the centre hole technique for the measurement of residual stresses’, Strain, January 1974, 10 (1), 7–14.

Beaney

E. M.

‘Accurate measurement of residual stress on any steel using the centre hole method’, Strain, July 1976, 12 (3), 99–106.

Scaramangas

A. A.

Proter Goff

R. F.D.

Leggat

R. H.

‘On the correction of residual stress measurements obtained using the centre-hole method’, Strain, August 1982, 18 (8), 88–97.

Beghini

Bertini

Raffaelli

‘Numerical analysis of the plasticity effects in the hole-drilling residual stress measurement’, ASTM J. Testing and Evaluation, November 1994, 22 (6), 522–529.

Mushkelishvili

N. I.

Some Basic Problems in the Mathematical Theory of Elasticity, 1953 (Noordhoff, Croningen, The Netherlands).

Kachanov

L. M.

Foundations of the Theory of Plasticity, 1971 (North-Holland Publishing Company, Amsterdam, The Netherlands).

Annin

B. D.

Cherepanov

G. P.

Elastic Plastic Problems, 1988 (ASME Press, New York).

Timoshenko

S. P.

Goodier

J. N.

Theory of Elasticity, 1984 (McGraw-Hill, New York).

10.

Raffaelli

Analysis of plasticity effects on residual stress measurement (in Italian), Degree Thesis in Mechanical Engineering, Dipartimento di Costruzioni Meccaniche e Nucleari, Pisa, Italy, 1993.