Sage Journals: Discover world-class research

Abstract

The use of a simple singular value decomposition (SVD) technique to post-process far-field data from cracked components is discussed. The technique employs the series expansion for stress or displacements ahead of the crack tip, which is available for a wide range of configurations. The use of higher-order terms, necessary for the post-processing, is beneficial for two reasons: (a) it permits the abstraction of the maximum usable amount of information; (b) it gives a better understanding of the fracture mechanics, especially regarding crack tip plasticity and dynamic propagation. Several numerical cases are examined and a comparison is made with analytical results, permitting an evaluation to be made of the pure numerical error in the post-processing.

Keywords

post-processing cracked components simple singular value decomposition technique far-field data

Get full access to this article

View all access options for this article.

References

Sciammarella

Combel

An elasto-plastic analysis of the crack tip field in a compact tension specimen. Engng Fracture Mechanics, 1996, 55 (2), pp. 209–222.

Deng

Rosakis

A. J.

Krishnaswamy

Dynamic crack-propagation in elastic-plastic solids under non-K-dom-inance conditions. Eur. J. Mechanics, A—solids, 1994, 13 (3), pp. 327–350.

Liu

Rosakis

A. J.

On the higher-order asymptotic analysis of a nonuniformly propagating dynamic crack along an arbitrary path. J. Elasticity, 1994, 35 (pp. 1–3), pp. 27–60.

Liu

Lambros

Rosakis

A. J.

Highly transient elas-todynamic crack-growth in a bimaterial interface—higher order asymptotic analysis and optical experiments. J. Mechanics and Physics of Solids, 1993, 41 (12), pp. 1887–1911.

Tsamaphyros

Eftaxiopoulos

D. A.

Energy considerations in the boundary collocation method applied in fracture. Engng Fracture Mechanics, 1996, 54 (5), pp. 639–652.

Deng

General crack-tip fields for stationary and steadily growing interface cracks in anisotropic bimaterials. J. Appl. Mechanics, 1993, 60, pp. 183–190.

Press

W. H.

Numerical Recipes: The Art of Scientific Computing, 2nd edition, 1992 (Cambridge University Press, Cambridge).

Tsamaphyros

Theocaris

P. S.

On the solution of the sector problem. J. Elasticity, 1979, 9, pp. 97–112.

386 Matlab for 80386 Personal Computers, 1989 (The Math-Works Inc.).

10.

Gregory

R. D.

A circular disc containing a radial edge crack opened by a constant internal pressure. Math. Proc. Camb. Phil. Soc., 1977, 81, pp. 497–502.

11.

Gregory

R. D.

The edge-cracked circular disc under symmetrical pin-loading. Math. Proc. Camb. Phil. Soc., 1979, 85, pp. 523–538.

12.

Vaughan

Stresses in a circular disc containing a radial crack. Q.J. Mech. Appl. Math., 1991, 44 (3), pp. 413–438.

On the post-processing of data obtained from cracked components

Abstract

Abstract

Keywords

Get full access to this article

References