Two-dimensional direct boundary integral method for multilayered elastic media

Crouch, Steven L.; Selcuk, S.

doi:10.1016/0148-9062(92)92633-n

Cited by 4 publications

(1 citation statement)

References 11 publications

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“…Bonnet and Bui [1993], Crouch and Selcuk [1992], Cruse [1988], Chang and Mear [1995], Gray, Martha, and Ingraffea [1990], Guimardes and Telles [1994], Hong and Chen [1988], and Paulino [1995]. Although successful, the common problem for these methods is that, when employed in conjunction with a collocation approximation, a C' continuous smoothness constraint is necessarily imposed on the boundary in the neighborhood of the integration point.…”

Section: Boundary Elements and Fracture Mechanicsmentioning

confidence: 99%

3D Boundary Element Analysis for Composite Joints with discrete Damage. Part 1.

Wawrzynek¹,

Carter²,

Gray³

et al. 1996

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Section: Boundary Elements and Fracture Mechanicsmentioning

confidence: 99%

3D Boundary Element Analysis for Composite Joints with discrete Damage. Part 1.

Wawrzynek¹,

Carter²,

Gray³

et al. 1996

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Prediction of interfacial crack path: a direct boundary integral approach and experimental study

1994

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This paper presents the development of a higher-order direct boundary integral-displacement discontinuity method for crack propagation in layered elastic materials. The method is based on the dual boundary integral equations of linear elasticity which are solved by means of a quadratic boundary element formulation. The analytical solution for a point force within a bonded half-plane region is used to derive the kernel functions of the boundary integral equations. Square-root displacement-discontinuity elements are used to model the crack tips, and stress intensity factors may be computed using the numerically predicted values of the displacement discontinuity components at the midpoints of these crack-tip elements. An algorithm based on the maximum tensile-stress criterion is then developed and incorporated into the boundary element model to predict the paths of cracks propagating in layered elastic materials.In the experimental part of this study, crack profiles for straight-through-cracked, compact-tension specimens of the anodically bonded silicon/Pyrex glass system are measured by profilometry. The plane strain prediction of the crack-propagation path is compared with the experimentally measured crack profiles. Consistent with the prediction, the interfacial crack is observed to kink away from the strong, anodicaUy-bonded interface and propagate into the more compliant glass layer. The predicted initial kink angle of 26 ° agrees very well with the average measured value of 280 . The measured path of the crack is also in very good agreement with the predicted path over about the first 120 microns of crack growth with increasing deviation observed beyond that.

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