Interaction between parallel cracks in layered composites

Ratwani, M.; Gupta, G. D.

doi:10.1016/0020-7683(74)90034-1

Cited by 54 publications

(39 citation statements)

References 5 publications

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“…This phenomenon is called crack shielding effect as discussed in Ref. [16], which also proves that the solving process of the present paper is correct.…”

Section: Numerical Calculations and Conclusionsupporting

confidence: 81%

“…This phenomenon is also called crack shielding effect as discussed in Ref. [16]. For / 5 h l > , the stress intensity factors of cracks will tend to constants, i.e., the stress intensity factors at the left tips of cracks will tend to about 0.87 and the stress intensity factors at the right tips of cracks will tend to about 1. , then they decrease in magnitude with the increasing of l β .…”

Section: Numerical Calculations and Conclusionmentioning

confidence: 90%

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Multiple Parallel Symmetric Mode-III Cracks in a Functionally Graded Material Plane

Yang

2009

JMMP

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In this paper, the basic solutions of multiple parallel symmetric finite length cracks in a functionally graded material plane subjected to anti-plane shear stress loading were studied by the Schmidt method. The problem was formulated through Fourier transform into dual integral equations, respectively, in which the unknown variables are the jumps of displacements across the crack surfaces. To solve the dual integral equations, the jumps of displacements across the crack surfaces were directly expanded as a series of Jacobi polynomials. The results show that the stress intensity factors at the crack tips depend on the crack lengths, spacing of the cracks and the functionally graded parameter. It is also revealed that the crack shielding effect presents in functionally graded materials.

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“…This phenomenon is called crack shielding effect as discussed in Ref. [16], which also proves that the solving process of the present paper is correct.…”

Section: Numerical Calculations and Conclusionsupporting

confidence: 81%

Section: Numerical Calculations and Conclusionmentioning

confidence: 90%

Multiple Parallel Symmetric Mode-III Cracks in a Functionally Graded Material Plane

Yang

2009

JMMP

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“…11,12,13,14,15,16,17. This phenomenon is called crack shielding effect as discussed in Ratwani's paper [26]. This implies that the crack shielding effect is also present in functionally graded piezoelectric materials.…”

Section: Numerical Calculations and Discussionmentioning

confidence: 88%

Basic solution of two parallel mode-I permeable cracks in functionally graded piezoelectric materials

2007

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The basic solution of two parallel mode-I permeable cracks in functionally graded piezoelectric materials was studied in this paper using the generalized Almansi's theorem. To make the analysis tractable, it was assumed that the shear modulus varies exponentially along the horizontal axis parallel to the crack. The problem was formulated through a Fourier transform into two pairs of dual integral equations, in which unknown variables are jumps of displacements across the crack surface. To solve the dual integral equations, the jumps of displacements across the crack surfaces were directly expanded as a series of Jacobi polynomials. The solution of the present paper shows that the singular stresses and the singular electric displacements at the crack tips in functionally graded piezoelectric materials carry the same forms as those in homogeneous piezoelectric materials; however, the magnitudes of intensity factors depend on the gradient of functionally graded piezoelectric material properties. It was also revealed that the crack shielding effect is also present in functionally graded piezoelectric materials.

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“…Failure of welded-bonded structures in composite structures for aircraft (Ratwani & Gupta, 1974) Collinear cracks and edge cracks…”

Section: Multiple Cracks Industrial Failures References Collinear Cracksmentioning

confidence: 99%

Interacting Cracks Analysis Using Finite Element Method

Daud¹,

Ariffin²,

Abdullah³

et al. 2012

Applied Fracture Mechanics

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Interaction between parallel cracks in layered composites

Cited by 54 publications

References 5 publications

Multiple Parallel Symmetric Mode-III Cracks in a Functionally Graded Material Plane

Multiple Parallel Symmetric Mode-III Cracks in a Functionally Graded Material Plane

Basic solution of two parallel mode-I permeable cracks in functionally graded piezoelectric materials

Interacting Cracks Analysis Using Finite Element Method

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