Stress Intensity Factor of an Edge Interface Crack in a Bonded Semi-Infinite Plate

An infinite plate weakened by doubly distributing cracks is studied in this paper. Two loading cases, the remote tension and the remote shear stresses, are assumed. Analysis is performed for a cracked cell cut from the infinite plate. It is found that the eigenfunction expansion variational method is efficient to solve the problem. The stress intensity factor, the T-stress, and the elastic response are evaluated. The cracked plate can be equivalent to an orthotropic medium without cracks. The equivalent elastic constants are presented.

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Modified Analytical Method for Stress Intensity Factor Calculation of Infinite MSD Plate Containing Multiple Holes

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.118-120.269 ◽

2010 ◽

Vol 118-120 ◽

pp. 269-273

Author(s):

Jin Fang Zhao ◽

Li Yang Xie ◽

Jian Zhong Liu ◽

Qun Zhao

Keyword(s):

Stress Intensity Factor ◽

Stress Intensity ◽

Intensity Factor ◽

Analytical Method ◽

Fatigue Cracks ◽

Infinite Plate ◽

Superposition Method ◽

Typical Structure ◽

Two Circular Holes ◽

Multiple Holes

Multiple site damage (MSD) is the occurrence of small fatigue cracks at several sites within aging aircraft structures. Focusing on this typical structure, an analytical method for calculating the stress intensity factor (SIF) of an infinite plate containing multiple holes was introduced in this paper. The properties of complex variable functions are used to evaluate the stress function. The approximate superposition method is applied to solve SIF problems on multiple holes. Some numerical examples of radial cracks appearing at the boundary of two circular holes are examined by this method. By comparing the analytical and finite analysis results it was realized that the analytical results are accurate and reliable. This modified analytical method is easier to apply than traditional analytical method and can provide SIF solutions for an infinite plate containing multiple holes.

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A Numerical Procedure for Estimating the Stress Intensity Factor of a Crack in a Finite Plate

Journal of Basic Engineering ◽

10.1115/1.3655920 ◽

1964 ◽

Vol 86 (4) ◽

pp. 681-684 ◽

Cited By ~ 47

Author(s):

A. S. Kobayashi ◽

R. D. Cherepy ◽

W. C. Kinsel

Keyword(s):

Stress Intensity Factor ◽

Stress Intensity ◽

Intensity Factor ◽

High Speed ◽

Linear Equations ◽

Infinite Plate ◽

Numerical Procedure ◽

Complex Stress ◽

Theory Of Elasticity ◽

Finite Plate

The advantages of the complex variable method are combined with the numerical procedure of collocation for estimating the stress intensity factors in finite, cracked plates subjected to in-plane loadings. In this approach, the complex stress functions for an infinite plate problem are modified to meet the boundary conditions for a finite plate with identical crack configuration. This procedure produces a system of linear equations which can be programmed readily on high-speed computers. The procedure is used to find the elastic stress intensity factor at the crack tip in a centrally notched plate in uniaxial tension. The resulting values are nearly identical to the stress intensity values determined analytically by the theory of elasticity. This numerical procedure should be useful for designers and analysts working in the fields of fracture mechanics and fail-safe concepts.

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