Interlaminar dynamic crack propagation

Nakamura, Tsuneyoshi; Kushner, Alan S.; Lo, Cheng-Ying

doi:10.1016/0020-7683(94)00288-8

Cited by 17 publications

(3 citation statements)

References 12 publications

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“…As known to us all, cracks will propagate under appropriately dynamic loading conditions. Most researches on this topic are focused on the crack propagation along the interface (Lo et al 1994;Nakamura et al 1995;Xu and Needleman 1996;Lambros and Rosakis 1995a,b). But in fact, an interfacial crack under dynamic loading may have another growing tendency to kink out off the interface and run into the matrix governed by a fracture criterion.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of crack deflection and penetration at an interface in a bi-material under dynamic loading by time-domain boundary element method

2008

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The hybrid time-domain boundary element method (BEM), together with the multi-region technique, is applied to simulate the dynamic process of crack deflection/ penetration at an interface in a bi-material. The whole bi-material is divided into two regions along the interface. The traditional displacement boundary integral equations (BIEs) are employed with respect to the exterior boundaries; meanwhile, the non-hypersingular traction BIEs are used with respect to the part of the crack in the matrix. Crack propagation along the interface is numerically modelled by releasing the nodes in the front of the moving crack tip and crack propagation in the matrix is modeled by adding new elements of constant length to the moving crack tip. The dynamic behaviours of the crack deflection/penetration at an interface, propagation in the matrix or along the interface and kinking out off the interface, are controlled by criteria developed from the quasi-static ones. The numerical results of the crack growth trajectory for different inclined interface and bonded strength are computed and compared with the corresponding experimental results. Agreement between numerical and experimental results implies that the present time-domain BEM can provide a simulation for the dynamic propagation and deflection of a crack in a bi-material.

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Section: Introductionmentioning

confidence: 99%

Numerical simulation of crack deflection and penetration at an interface in a bi-material under dynamic loading by time-domain boundary element method

2008

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“…Building upon the domain integral method, Moran and Shih (1987) and Shih and Asaro (1988) employed a domain representation of an interaction integral to directly extract complex stress intensity factors for interface cracks in linear elastic solid. , Nakamura (1991), Lo et al (1994), and Nakamura and Kushner (1995) have extended the above interaction integrals to 3D interface cracks, dynamically propagating cracks and cracks in composite laminates. Very recently Banks-Sills and Dolev (2004) extended conservative M 1 integral or the interaction integral into domain integral form to treat the thermo-elastic bi-material problems.…”

Section: Introductionmentioning

confidence: 99%

The use of conservative integral in bi-material interface crack problems subjected to thermal loads

Khandelwal

Kishen

2008

International Journal of Solids and Structures

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A linear bi-material elastic body containing a crack at the interface and subjected to thermal loading is analyzed. The J 2 line integral, developed for mechanical loads by Khandelwal and Chandra Kishen [Khandelwal, Chandra Kishen, J.M., 2006. Complex variable method of computing J k for bi-material interface cracks. Engineering Fracture Mechanics 73, 1568-1580] is extended to thermal loading. This method, used in conjunction with the finite element method, is shown to be useful in the prediction of stress intensity factors for cracks lying at the interface of two dissimilar materials and subjected to any type of thermal loading.

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“…This problem has been studied numerically by Kavaturu and Shukla (1988), Lo et al (1994Lo et al ( , 1995, Xu and Needleman (1996) and experimentally by . In each of these studies, criteria were developed to govern the dynamic crack growth along the interface.…”

Section: Introductionmentioning

confidence: 99%

Two dimensional numerical simulation of crack kinking from an interface under dynamic loading by time domain boundary element method

Lei

Wang

Groß

2007

International Journal of Solids and Structures

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The hybrid time-domain boundary element method, together with the multi-region technique, is applied to simulate the dynamic process of propagation and/or kinking of an interface crack in a two-dimensional bi-material. The whole bi-material is divided into two regions along the interface. The traditional displacement boundary integral equations are employed with respect to each region. However, when the crack kinks into the matrix material, the non-hypersingular traction boundary integral equations are used with respect to the part of the crack in the matrix. Crack propagation along the interface is numerically modelled by releasing the nodes in the front of the moving crack-tip controlled by the fracture criterion. Kinking of the interface crack is controlled by a criterion developed from the quasi-static one. Once the crack kinks into the matrix, its propagation is modeled by adding new elements of constant length to the moving crack-tip controlled by a criterion extended from the quasi-static maximum circumferential stress. The numerical results of the crack growth trajectory for different material combinations are computed and compared with the corresponding experimental results. Good agreement between numerical and experimental results implies that the present boundary element numerical method can provide an excellent simulation for the dynamic propagation and deflection of an interface crack.

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Interlaminar dynamic crack propagation

Cited by 17 publications

References 12 publications

Numerical simulation of crack deflection and penetration at an interface in a bi-material under dynamic loading by time-domain boundary element method

Numerical simulation of crack deflection and penetration at an interface in a bi-material under dynamic loading by time-domain boundary element method

The use of conservative integral in bi-material interface crack problems subjected to thermal loads

Two dimensional numerical simulation of crack kinking from an interface under dynamic loading by time domain boundary element method

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