Stress analysis of a semi-infinite plate with an oblique edge crack

Hasebe, Norio; Inohara, S.

doi:10.1007/bf00536598

Cited by 110 publications

(50 citation statements)

References 8 publications

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“…22), and A 2k = 0 (k = 1,2, ..., A0. Therefore, <f>i(fi) coincides with the solution of an external force boundary-value problem for a half-plane with a crack under uniform tension (Hasebe and Inohara 1980).…”

Section: Stress Functions In Special Casesmentioning

confidence: 60%

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Partially Bonded Bimaterial Plane Under Tension

Hasebe

Okumura²,

Nakamura

1990

J. Eng. Mech.

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A bimaterial problem is considered for shapes that are symmetrical with respect to an interface that is finite and straight. A rational mapping function and complex stress functions are used to obtain a general solution for bonded halfplanes with cracks at an end of the interface. A stress analysis is carried out for a state of uniform tension at infinity, which is either symmetrical or antisymmetrical with respect to the interface. Stress distributions and stress-intensity factors are obtained for various crack length and elastic constants. When one material is in tension and the other is free from traction, stress-intensity factors are also investigated. The bond effects on the stress-intensity factors are studied. The elastic constant's effects on the stress-intensity factor for a short crack and the stress function for special material constants are also investigated.

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Section: Stress Functions In Special Casesmentioning

confidence: 60%

“…The mapping function that maps the half-plane with an edge crack into a unit circle in the t, plane is expressed as follows (Hasebe 1979;Hasebe and Inohara 1980):…”

Section: Preparation For Boundary Conditionmentioning

confidence: 99%

Partially Bonded Bimaterial Plane Under Tension

Hasebe

Okumura²,

Nakamura

1990

J. Eng. Mech.

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“…Equations (11) demonstrate that the material local survival probability p(N, x, y, z) is mainly controlled by the initial crack distribution f (0, x, y, z, l 0 ), material fatigue resistance parameters g 0 and n, and external contact and residual stresses. Moreover, the material local survival probability p(N, x, y, z) is a decreasing function of N because l 0c from (5) is a decreasing function of N for n > 2.…”

Section: Local Fatigue Damage Accumulationmentioning

confidence: 99%

“…Keeping in mind that according to Hasebe and Inohara [11] and Isida [12], the stress intensity factor k 1 for an edge crack of radius l and inclined to the surface of a half-plane at the angle of π/4 (see…”

Section: Examples Of Torsional and Bending Fatiguementioning

confidence: 99%

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Fracture Mechanics Based Models of Structural and Contact Fatigue

Kudish¹

2012

Applied Fracture Mechanics

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The approach presented in this section provides a unified model of contact and structural fatigue of materials [1,2]. The model development is based on a block approach, i.e. each block of the model describes a certain process related to fatigue and can be easily replaced by another block describing the same process differently. For example, accumulation of new more advanced knowledge of the process of fatigue crack growth may provide an opportunity to replaced the proposed here block dealing with fatigue crack growth with an improved one. Two examples of the application of this model to structural fatigue are provided. Initial statistical defect distributionIt is assumed that material defects are far from each other and practically do not interact. However, in some cases clusters of nonmetallic inclusions located very close to each other

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Solution of multiple‐edge crack problem of elastic half‐plane by using singular integral equation approach

Chen

Hasebe

1995

Commun. Numer. Meth. Engng.

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SUMMARYThe complex potential for a single-edge crack problem of an elastic half-plane is proposed. The complex potential is obtained by distributing the dislocation density along the crack configuration, and satisfies the traction-free condition along the boundary of the half-plane. The multiple-edge crack problem of an elastic half-plane can be considered as a superposition of many single-edge crack problems. Bearing this in mind, a singular integral equation for the multiple-edge crack problem is formulated, where the distributing dislocation density serves as the unknown function and the traction applied on the crack faces serves as the right-hand side in the resulting integral equation. A semi-open quadrature rule is used to solve the singular integral equation. Several numerical examples are given. The 'shadow effect' is observed, which means the stress intensity factor at a crack tip is negligible if the crack is placed in some particular 'shadow area'.KEY WORDS multiple-edge crack problem; singular integral equation approach

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Stress analysis of a semi-infinite plate with an oblique edge crack

Cited by 110 publications

References 8 publications

Partially Bonded Bimaterial Plane Under Tension

Partially Bonded Bimaterial Plane Under Tension

Fracture Mechanics Based Models of Structural and Contact Fatigue

Solution of multiple‐edge crack problem of elastic half‐plane by using singular integral equation approach

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