Boundary integral equation fracture mechanics analysis of plane orthotropic bodies

Tan, C. L.; Gao, Yang

doi:10.1007/bf00034182

Cited by 16 publications

(11 citation statements)

References 23 publications

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“…They used tractionsingular-quarter point elements to the computation of the stress intensity factors and the crack propagation angle in orthotropic materials. Tan and G a o [ 15,16] used quarter-point elements and introduced analytical expressions for the stress intensity factors in terms of the BEM computed tractions and displacements for solving problems of orthotropic and anisotropic materials.…”

Section: Introductionmentioning

confidence: 99%

Fracture mechanics analysis of anisotropic plates by the boundary element method

Sollero

Aliabadi

1993

Int J Fract

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This paper presents an analysis of mixed mode fracture mechanics problems arising in anisotropic composite laminates. The boundary element method (BEM) and the Jk integral are presented as accurate techniques to compute the stress intensity factors K~ and Kn of two dimensional anisotropic bodies. Using function of a complex variable a decoupling procedure is derived to obtain the stress intensity factors. The procedure is based on the computation of the Jl-integral and of the ratio of relative displacements at the crack faces, near the crack tip. Applications are presented for unidirectional and symmetric laminates of glass, boron and graphite-epoxy materials. Numerical examples of problems of pure mode I and mixed mode deformations are given, in order to demonstrate the accuracy of the method.

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Section: Introductionmentioning

confidence: 99%

Fracture mechanics analysis of anisotropic plates by the boundary element method

Sollero

Aliabadi

1993

Int J Fract

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“…It is evident that the displacement formula involves additional computational effort as compared with the traction formula. Tan and Gao (1992a) also showed that the stress intensity factors obtained using the displacement formulas are significantly more sensitive to the size of the crack-tip elements used. The traction formula is more widely used and the stress intensity factors can be obtained directly from the computed nodal tractions.…”

Section: Quarter-point Crack-tip Element In Plane Orthotropic Bodiesmentioning

confidence: 96%

“…In order to obtain the variation of the tractions, the nodal shape functions associated with nodal tractions have to be multiplied by 1 r , where l is the length of the element. Details of this formulation have been presented by Tan and Gao (1992a), Martinez and Dominguez (1984), and Cruse and Wilson(1977). …”

Section: Quarter-point Crack-tip Element In Plane Orthotropic Bodiesmentioning

confidence: 99%

Numerical Fracture Mechanics Analysis of Cracked Fibre-Metal Laminates with Cut-Outs

Cudzilo

Tan

2007

EJBE

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The boundary element method (BEM) for two-dimensional numerical stress analysis is employed to investigate crack-face bridging of cracked fibre-metal laminates (FML) with cut-outs in this study. The fracture mechanics prediction of crack growth in these perforated laminates involves the interaction of the geometry and crack size, the delamination between the pre-peg and metal layers, and the extent of fibre-bridging of the crack flanks with the stress field caused by the cut-out. The present work investigates the effects of a stress concentration on the fibre-bridging stress and the stress intensity factor of a bridged crack in fibre-metal laminates. A number of cracked configurations are analyzed and the FML, ARALL2, is considered. The bridging stresses on the crack flanks are modeled in the 2 -D analysis using power-law expressions and with the mechanical properties of the laminate homogenized through the thickness. An iterative scheme is employed to solve for the bridging stresses as they are not known a priori. Three dimensional finite element method (FEM) analyses are also carried out to confirm the validity of the 2-D BEM models.FML's with circular cut-outs will contain high bridging stresses near the cutout resulting in fibre failure there, causing a reduction of the extent of fibre bridging of the crack. Results of the study show a likelihood of fibre failure near the edge of the cut-out and this could lead to a reduction of the bridging length. Comparison of the BEM with the FEM stress intensity factors for the range of problems analyzed reveals that the percentage difference is generally less than about 6%, except for a few cases when the power-law index of 0.5 is assumed. The BEM results indicate an increasing bridging stress and stress intensity factor with decreasing bridging length and the benefits of the fibre bridging of the crack are clearly demonstrated. This numerical study confirms that the 2-D BEM models employed can indeed be used to provide a quick and reasonable estimate of the stress intensity factor for a bridged crack in a FML with a circular cut-out.

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“…Boundary collocation method has been proved to be an effective computational tool and has been successfully applied to variety of crack problems of isotropic materials (Chen and Chen, 1981;Newman, 1976;Ukadgaonkar and Murali, 1991;Wang et.al, 2003) and anisotropic materials (Wang and Chang, 1994;Woo and Samson, 1993). Various methods like modified mapping collocation method (Bowie and Freese, 1972), boundary integral equations (Tan and Gao, 1992) and singular integral equation formulation (Ryan and Mall, 1989) are successfully applied to solve the problems of finite orthotropic lamina / laminates containing edge / central crack.…”

Section: Introductionmentioning

confidence: 99%

Stress intensity factors for an inclined and/or eccentric crack in a finite orthotropic lamina

Joshi

Manepatil²

2014

Lat. Am. j. solids struct.

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Boundary integral equation fracture mechanics analysis of plane orthotropic bodies

Cited by 16 publications

References 23 publications

Fracture mechanics analysis of anisotropic plates by the boundary element method

Fracture mechanics analysis of anisotropic plates by the boundary element method

Numerical Fracture Mechanics Analysis of Cracked Fibre-Metal Laminates with Cut-Outs

Stress intensity factors for an inclined and/or eccentric crack in a finite orthotropic lamina

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