Geometric correction factors determined by force balance method for center cracked specimens. VI. Loaded by a pair of splitting forces acting at an arbitrary location on the crack

Chen, D.L.; Weiß, B.; Stickler, R.

doi:10.1007/bf00017854

Cited by 4 publications

(3 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This factor was obtained by means of the equilibrium condition for the applied force and the assumed stress distribution ahead of the crack tip. Geometric correction factors for various load conditions on the crack surfaces have been reported in the literature, 6 –11 and good agreement between these results and older results from the literature has been demonstrated.…”

Section: Introductionsupporting

confidence: 71%

Numerical evaluation of the stress distribution ahead of a crack tip for a finite‐width centre‐cracked specimen loaded by stresses along a portion of the crack

Liu

Mang

Liu³

1999

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

Recently, the force balance method (FBM) has been proposed to calculate geometric correction factors for the stress distribution ahead of a crack tip. In this paper, the effectiveness of the FBM is proved by means of a numerical evaluation of the stress distribution ahead of a crack tip in finite‐width centre‐cracked specimens loaded by stresses along a portion of the crack. The finite element method is used for this purpose.

show abstract

Section: Introductionsupporting

confidence: 71%

Numerical evaluation of the stress distribution ahead of a crack tip for a finite‐width centre‐cracked specimen loaded by stresses along a portion of the crack

Liu

Mang

Liu³

1999

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

show abstract

“…It is straightforward to change the dimensionless SIF expression in [2] for crack tip A and B, respectively, in the following forms: The similarity of (14) of [1] with (7) of [2] is thus proved.…”

mentioning

confidence: 99%

“…Finally, to avoid misleading, it should be pointed out that all the derived results of [1] and [2] are approximate, not 'precise' as claimed in [1]; the reasons are given in [4]. …”

mentioning

confidence: 99%

SIF expressions for cracked strips biasly loaded by point forces-a review

Wang

1996

Int J Fract

View full text Add to dashboard Cite

Numerical evaluation of stress distributions ahead of crack tip for finite-width center cracked specimens

et al. 1996

Self Cite

View full text Add to dashboard Cite

A simple approach -force balance method (FBM) -has been proposed to calculate geometric correction factors in linear elastic fracture mechanics [1]. In the method, the stress distribution ahead of the crack tip along the crack-line for a finite-width plate has to be involved, which was postulated to be associated with the stress distribution for the corresponding infinite plate, modified by a geometric correction factor. The geometric correction factor can then be determined by means of equilibrium conditions of forces and torques along the crack-line.By virtue of the FBM, a number of geometric correction factors for finite-width center cracked specimens, subjected to different configurations of loading, have been deduced e.g. [1][2][3]. They were found to be in good agreement with those reported in the literature. However, the assumption regarding the stress distribution in front of the crack tip along the crack-line in a finite-width specimen is lacking in mathematical rigour. In order to verify the applicability of the obtained geometric correction factors, it is thus essential to evaluate this assumption for various loading configurations.In [4][5][6] the stress distributions ahead of the crack tip along the crack-line for the standard center cracked tension (CCT) specimen and a finite-width plate loaded by a pair of concentrated forces on the center line of the specimen have numerically been assessed by means of the finite element method (FEM). The assumed stress distributions were found to be in good accordance with the obtained numerical results, especially in the vicinity of the crack tip. In this paper the stress distribution ahead of the crack tip along the crack-line for the center cracked specimen, loaded by uniformly distributed stresses on the center portion of the crack (see Fig. 1) is numerically evaluated by means of FEM. Int Journ of Fracture 75 R4For the loading configuration depicted in Fig. 1, the stress distribution (.~) ahead of the crack tip along the crack-line for the finite width plate (width W) is assumed to bewhere the singular term of the Westergaard function [7] available for the corresponding infinite-width plate is modified by a geometric correction factor Y.In (1), 2a is the crack length, 2b is the acting region of stresses tJ, x is the distance from the center of the crack, as shown in Fig. 1. By means of FBM, the stress intensity factor K and geometric correction factor Y can be obtained as(2) y = "~W 2-4 a 2 sin-l(b/a) Analogous to the work in [4,5], a specimen of total height L=30 with a center crack of length a=l is considered. Hence, in the range of interest (i.e., 0.2<2a/W<0.8) the minimum ratio of L over W is 3, which is acceptable from a practical point of view. Due to the symmetry only a quarter of the specimen (i.e., the right-upper part) is discretized. A typical FE-mesh corresponding to 2a/W=0.2 is displayed in Fig. 2, consisting of 690 four-node bilinear elements and 761 nodes. In view of the singularity at the crack tip the FE-mesh close to this point is relatively...

show abstract

Geometric correction factors determined by force balance method for center cracked specimens. VI. Loaded by a pair of splitting forces acting at an arbitrary location on the crack

Cited by 4 publications

References 5 publications

Numerical evaluation of the stress distribution ahead of a crack tip for a finite‐width centre‐cracked specimen loaded by stresses along a portion of the crack

Numerical evaluation of the stress distribution ahead of a crack tip for a finite‐width centre‐cracked specimen loaded by stresses along a portion of the crack

SIF expressions for cracked strips biasly loaded by point forces-a review

Numerical evaluation of stress distributions ahead of crack tip for finite-width center cracked specimens

Contact Info

Product

Resources

About