Stress intensity factor solutions for part-elliptical through cracks

Fawaz, Scott A.

doi:10.1016/s0013-7944(99)00003-x

Cited by 31 publications

(22 citation statements)

References 7 publications

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“…It can thus be stated that the stress intensity factors along the crack front of elliptical arc through crack cannot be calculated accurately from the COD method. It has been verified that the virtual crack closure technique can be applied to nonorthogonal mesh (Fawaz, 1998;1999), and mode II and mode III stress intensity factors for threedimensional crack as well as mode I can be obtained by decomposing the nodal force and nodal displacement. In this study, therefore, the mixed-mode stress intensity factors for elliptical arc through cracks in mechanical joints were analyzed by the virtual crack closure technique using the nodal forces and nodal displacements obtained from finite element analysis including contact area.…”

Section: Orthogonal and Non-orthogonal Meshmentioning

confidence: 94%

“…This fact reveals that the relative deformation of crack surface appears adversely. From Fawaz's experimental observations(1998, 1999, cracks in mechanical joints occur as elliptical corner cracks and grow as elliptical arc through cracks after penetrating through the plate thickness. Through-cracks are generally analyzed as two-dimensional crack model.…”

Section: Verificationmentioning

confidence: 99%

“…Narayana et al (1994) investigated the effects of interference and clearance on stress intensity factors, and Ju (1997) analyzed mixedmode stress intensity factors for both horizontal and inclined cracks in mechanical joints. Fawaz (1998Fawaz ( , 1999 has reported from fracto graphic observations on fatigued joints that cracks in mechanical joints usually nucleate from corner cracks at the faying surface of joints and grow to be elliptical arc through cracks as shown in Fig. 1.…”

Section: Introductionmentioning

confidence: 99%

“…Stress intensity factors for elliptical corner cracks in joints as an initial model of crack growth have been analyzed by some researchers (Shivakumar and Newman Jr. , 1991;Lin and Smith, 1999), but those of elliptical arc through cracks have rarely been dealt with. Fawaz (1998Fawaz ( , 1999 analyzed stress intensity factors for elliptical arc through crack using the virtual crack closure technique not considering the contact area in joints and analyzing mode I stress intensity factor of symmetric cracks only. In mechanical joints, there is usually a clearance between the fastener hole and the bolt or rivet.…”

Section: Introductionmentioning

confidence: 99%

“…Then energy release rate C can be calculated by dividing the work W, by the virtual crack increment LJ, Fig. 1 Crack growth profile in mechanical joints (Fawaz, 1999) through crack of more practical crack model with contact area. Virtual crack closure technique is a method to calculate stress intensity factor using nodal forces on and ahead of the crack tip and nodal displacements behind it from results of finite element analysis.…”

Section: Introductionmentioning

confidence: 99%

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Stress intensity factors for elliptical arc through cracks in mechanical joints by virtual crack closure technique

Heo

Yang

Kim

2002

KSME International Journal

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The reliable stress intensity factor analysis is required for fracture mechanics design or safety evaluation of mechanical joints at which cracks often initiate and grow. It has been reported that cracks in mechanical joints usually nucleate as corner cracks at the faying surface of joints and grow as elliptical arc through cracks. In this paper, three dimensional finite element analyses are performed for elliptical arc through cracks in mechanical joints. Thereafter stress intensity factors along elliptical crack front including two surface points are determined by the virtual crack closure technique. Virtual crack closure technique is a method to calculate stress intensity factor using the finite element analysis and can be applied to non-orthogonal mesh. As a result, the effects of clearance on the stress intensity factor are investigated and crack shape are then predicted.

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Section: Orthogonal and Non-orthogonal Meshmentioning

confidence: 94%

Section: Verificationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Stress intensity factors for elliptical arc through cracks in mechanical joints by virtual crack closure technique

Heo

Yang

Kim

2002

KSME International Journal

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Ermüdungsfestigkeit

2007

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Energy considerations in crack deflection phenomenon in single crystal silicon

Sherman

2006

Int J Fract

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Crack deflection in single-crystal brittle occurs when a crack, propagating on one cleavage plane, 'chooses', from energy considerations, to continue propagating on another cleavage plane. This phenomenon was identified during dynamic crack propagation experiments of thin, rectangular [0 0 1] single-crystal (SC) silicon specimens subjected to three-point bending (3PB). Specimens with long pre-cracks (hence propagating at a 'low' energy and velocity) cleave along the vertical (1 1 0) plane, while the same specimens but with short pre-cracks (and therefore with higher propagation energy and velocity) cleave along the inclined (1 1 1) plane. The same specimens with intermediate pre-crack length show that the crack first propagates on the (1 1 0) plane and then deflects to the (1 1 1) plane. We show that the deflection is due to variations of the material property that resists cracking, , the dynamic cleavage energy, with velocity and crystallographic orientation. We propose selection criteria to explain the deflection: The crack will deflect to the plane with the lowest dynamic cleavage energy. We further suggest that crack deflection is the basic mechanism controlling the way the crack consumes energy while propagating and is the main cause of surface perturbations.The spatial temporal fracture energy along the (1 1 0) cleavage plane is evaluated.

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Stress intensity factor solutions for part-elliptical through cracks

Cited by 31 publications

References 7 publications

Stress intensity factors for elliptical arc through cracks in mechanical joints by virtual crack closure technique

Stress intensity factors for elliptical arc through cracks in mechanical joints by virtual crack closure technique

Ermüdungsfestigkeit

Energy considerations in crack deflection phenomenon in single crystal silicon

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