International Journal of Fracture 59: R53-R57, 1993.
© 1993 KluwerAcademic Publishers. Printed in the Netherlands.
R53
DETERMINATION OF PRECISE GEOMETRIC CORRECTION FACTOR
REGARDING STRESS INTENSITY BY A "FORCE BALANCE METHOD"
D.L. Chen, B. Weiss and R. Stickler
Institute for Physical Chemistry - Materials Science
University of Vienna, W'dhringer Strasse 42
A-1090 Vienna, Austria
tel: -222-34361725
For the solution to any fracture or crack growth problems one must know the
geometric correction factors regarding stress intensity (K) for the structural crack
of interest [1]. This is due to the fact that all of the engineering test specimens
must have finite dimensions, resulting in the following modified general stress
intensity expression:
K =rm (i)
where t~ is the externally applied stress, a is crack length, Y is geometric
correction factor.
There are several methods for the determination of the geometric correction
factors, such as, finite element method, Green's function or weight function
method, etc. However, the geometric correction factors obtained by these
methods are usually of limited accuracy [1]. Thus there is a great need for simple
methods to obtain more accurate geometric correction factors.
Recently, we have established a new and simple method - "force balance
method"- for the calculation of precise geometric correction factors [2,3].
Applying this approach, we have derived a new and exact geometric correction
factor for a finite width center cracked plate loaded by a pair of splitting forces
(see Fig. 1(a)) as follows:
Y(2a/W) =
2cos-'(2a/W)
where a is the half-crack length, W is the specimen width. In particular, the
application of the proposed force balance method gives rise to a simple and
precise geometric correction factor for commonly-used center cracked tension
(CCT) specimens (see Fig. l(b)):
(2)
Int Journ of Fracture 59 (1993)