Application of the virtual crack closure technique to calculate stress intensity factors for through cracks with an elliptical crack front

Fawaz, Scott A.

doi:10.1016/s0013-7944(97)00126-4

Cited by 55 publications

(19 citation statements)

References 16 publications

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“…In the FEM, the SIFs are determined either by direct or indirect methods (Fawaz, 1998). In the direct method, the SIF is calculated directly from the finite element solution by extrapolation.…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional Correction of the Stress Intensity Factor for Plate with a Notch

et al. 2005

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International Journal of Fracture (2005) 136:75-98Abstract. The 3D effects of the 2D mode I stress intensity factor for the plate with a V-shaped straight through-thickness notch are investigated by the finite element method and three-dimensional thicknessdependent correction of SIF is suggested. The correction relies on the assumed relationship between the SIF and the constraint factor (out-of-plane degree of freedom). The 3D finite element mesh generator combining the 2D in-plane adaptive unstructured mesh with the structured through-thickness mesh Is developed and applied for the analysis purposes. Three-dimensionality was examined by using two independent indicators, namely, stress-or strain-based constraint factors. The three-point bend and tensile center-cracked plates are investigated. The results demonstrated that the developed 3D corrections may be treated as upper bound estimates of the SIF for three-point bend plate,while directly obtained numerical values are considered as lower bound estimates. Analysis of the tensile center-cracked plate demonstrated a different nature of the 3D SIF profile, which cannot be simply explained as a transitional state between plain strain and plain stress. Therefore, the suggested 3D correction concept is of a particular character.

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Section: Introductionmentioning

confidence: 99%

Three-dimensional Correction of the Stress Intensity Factor for Plate with a Notch

et al. 2005

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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%

“…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%

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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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“…Raju (1986) and De Roeck and Abdel Wahab (1995) extended the method to include 2-D and 3-D higher order and quarter-point singular finite elements, respectively. The 3-D VCCT has been applied by many researchers to determine the strain energy release rate for 3-D crack problems, e.g., Raju et al (1996), Fawaz (1998), Xie and Biggers (2006a, b). Comprehensive reviews on applications of the VCCT to both 2-D and 3-D crack problems were presented recently by Miravete and Jimenez (2002) and Krueger (2002).…”

Section: Introductionmentioning

confidence: 99%

Analysis of stress intensity factors for three-dimensional interface crack problems in electronic packages using the virtual crack closure technique

Chiu

Lin

2009

Int J Fract

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In this study the fracture mechanics parameters, including the strain energy release rate, the stress intensity factors and phase angles, along the curvilinear front of a three-dimensional bimaterial interface crack in electronic packages are considered by using finite element method with the virtual crack closure technique (VCCT). In the numerical procedure normalized complex stress intensity factors and the corresponding phase angles (Rice, J Appl Mech 55: [98][99][100][101][102][103] 1988) are calculated from the crack closure integrals for an opening interface crack tip. Alternative procedures are also described for the cases of crack under inner pressure and crack faces under large-scale contact. Validation for the procedure is performed by comparing numerical results to analytical solutions for the problems of interface crack subjected to either remote tension or mixed loading. The numerical approach is then applied to study interface crack problems in electronic packages. Solutions for semi-circular surface crack and quarter-circular corner crack on the interface of epoxy molding compound and silicon die under uniform temperature excursion are presented. In addition, embedded corner delaminations on the interface of silicon die and underfill in flip-chip package under thermomechanical load are investigated. Based on the distribution of the fracture mechanics parameters along the interface crack front, qualitative predictions

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Application of the virtual crack closure technique to calculate stress intensity factors for through cracks with an elliptical crack front

Cited by 55 publications

References 16 publications

Three-dimensional Correction of the Stress Intensity Factor for Plate with a Notch

Three-dimensional Correction of the Stress Intensity Factor for Plate with a Notch

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

Analysis of stress intensity factors for three-dimensional interface crack problems in electronic packages using the virtual crack closure technique

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