Effect of three-dimensional deformation on the limit load of highly weld strength undermatched specimens under tension

Abstract

In the case of welded structures with cracks, a number of parameters, such as those with units of length, makes it difficult to present the results of numerical solutions in a form convenient for direct engineering applications, such as flaw assessment procedures. For centre-cracked components under tension, it is shown in the current article that an effect of crack length on the limit load can be taken into account by means of an upper bound limit load for the corresponding structure with no crack without any additional numerical treatment. Using this result, it is sufficient to find an upper bound limit load for the structure with no crack and then to apply the analytical formulae for finding the corresponding limit load for the structure of interest.

Welding of some aluminium alloys for structural applications usually leads to a significantly lower strength (undermatched) weld joint. The approach proposed is used to demonstrate an effect of three-dimensional deformation on an upper bound limit load for such highly strength undermatched centre-cracked welded specimens under tension. This result can also be used in metal-forming applications where upper bound solutions are more useful than lower bound solutions.

Keywords

undermatched welded joint limit load

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References

Avitzur

. Metal forming: the application of limit analysis1980 (DekkerNew York).

Kocak

Webster

Janosch

J. J.

Ainsworth

R. A.

Koers

(eds) FITNET fitness-for-service procedure - final draft MK7vol. 1

FITNET FFS Procedure

2006.

Zerbst

Ainsworth

R. A.

Schwalbe

K.-H

. Basic principles of analytical flaw assessment methods. Int. J. Press. Vessels Pip.200077855–867.

Kocak

. FITNET fitness-for-surface procedure: An overview. In Proceedings of FITNET 2006 International Conference on Fitness-for-Service, 17–19 May 2006Amsterdam, Paper FITNET 06–04.

Miller

A. G

. Review of limit loads of structures containing defects. Int. J. Press. Vessels Pip.198832197–327.

Alexandrov

Richmond

. On estimating the tensile strength of an adhesive plastic layer of arbitrary simply connected contour. Int. J. Solids Struct.200037669–686.

Hao

Cornec

Schwalbe

K.-H

. Plastic stress-strain fields of a plane strain cracked tensile panel with a mismatched welded joint. Int. J. Solids Struct.199734297–326.

Capsoni

Corradi

Vena

. Limit analysis of orthotropic structures based on Hill's yield condition. Int. J. Solids Struct.2001383945–3963.

Kocak

Hadley

Szavai

Tkach

Taylor

(eds) FITNET fitness-for-service procedure - final draft MK7vol. 3, Annex2006.

10.

Drucker

D. C.

Prager

Greenberg

N. J

. Extended limit design theorems for continuous media. Quart. Appl. Math.19529381–389.

11.

Alexandrov

. A note on the limit load of welded joints of a rectangular cross-section. Fatigue Fract. Eng. Mater. Struct.199922449–452.

12.

Hill

. The mathematical theory of plasticity1950, pp. 232–234 (Clarendon PressOxford).

13.

Alexandrov

Richmond

. Singular plastic flow fields near surfaces of maximum friction stress. Int. J. Non-Linear Mech.2001361–11.