A single-region time domain BEM for dynamic crack problems

Fedeliński, P.; Aliabadi, M.H.; Rooke, D.P.

doi:10.1016/0020-7683(95)00015-3

Cited by 55 publications

(30 citation statements)

References 23 publications

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“…)/(1# ) for plane stress. In this case equations (19) and (20) have the form of the equations used in static fracture mechanics (see e.g. Reference 25).…”

Section: Stress and Displacement Fields At The Tip Of The Growing Crackmentioning

confidence: 99%

The Time-Domain Dbem for Rapidly Growing Cracks

Fedeliński

Aliabadi

Rooke³

1997

Int. J. Numer. Meth. Engng.

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SUMMARYThe time-domain Dual Boundary Element Method (DBEM) is developed to analyse rapidly growing cracks in structures subjected to dynamic loads. Two-dimensional problems, where the velocity of the crack growth is constant and the path is not predefined are studied. The present method uses the dual boundary formulation, i.e. the displacement and the traction boundary integral equations to obtain the solution by discretizing the boundary of the body and the crack surfaces only. The crack growth is modelled by adding new elements ahead of the crack tip. It is assumed that the direction of the increment is perpendicular to the direction of maximum circumferential stress. The method is used to analyse growing cracks in infinite sheet and finite plates, and the results are compared with other reported solutions, showing good agreement.1997 by John Wiley & Sons, Ltd.

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“…)/(1# ) for plane stress. In this case equations (19) and (20) have the form of the equations used in static fracture mechanics (see e.g. Reference 25).…”

Section: Stress and Displacement Fields At The Tip Of The Growing Crackmentioning

confidence: 99%

The Time-Domain Dbem for Rapidly Growing Cracks

Fedeliński

Aliabadi

Rooke³

1997

Int. J. Numer. Meth. Engng.

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“…They have also been used with the integral representation of tractions (the hypersingular fundamental solution) in static problems, 8 transient dynamic, both directly 10 and by use of the Laplace transform, 11 but only as regards the discontinuous QP element, never in relation to the discontinuous SQP element in static or dynamic problems.…”

Section: Calculation Of Stress Intensity Factorsmentioning

confidence: 99%

“…This mixed method, also termed dual because it uses two integral representations simultaneously, was recently used by Fedelinski et al to solve transient dynamic problems, both directly 10 and by use of the Laplace transform. 11 In the latter case, a solution similar to that obtained herein was reported after the present work was ÿnished.…”

Section: Introductionmentioning

confidence: 98%

Dynamic and static analysis of cracks using the hypersingular formulation of the Boundary Element Method

Chirino¹,

Abascal

1998

Int. J. Numer. Meth. Engng.

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A new methodology for computing dynamic stress intensity factors in the frequency domain based on the mixed boundary element method, a combination of the equations corresponding to the integral representations of displacements and tractions, is proposed and analysed. The expressions of hypersingular fundamental solution are presented and their singular parts extracted. Also, a discontinuous Singular-Quarter-Point element is constructed. Finally, various parametric computations and applications are described in order to illustrate the simplicity and accuracy of the proposed method as applied to both static and dynamic problems. ? 1998 John Wiley & Sons, Ltd.

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“…Chirino and Dominguez (1989) have adapted the subregion analysis and the Fourier transform method. Fedelinski et al (1995) have developed a general formulation for modelling elastodynamic crack problems in a single domain by the DBEM. The DBEM is further extended by Wen et al (1998) to address 3-D problems subjected to dynamic loading.…”

Section: Elastodynamic Analysismentioning

confidence: 99%

A review of SIF evaluation and modelling of singularities in BEM

Mukhopadhyay

Maiti

Kakodkar

2000

Computational Mechanics

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Various boundary element method (BEM) based approaches to solve crack problems are discussed. The displacement method, J-integral method and the modi®ed crack closure integral (MCCI) method for the evaluation of the stress intensity factors (SIFs) are reviewed. Effects of partial and total modelling of singularities on the accuracy of the results have been presented. Elements capable of partial and total modelling of the wellknown square root singularities, variable order singularities, neighbouring variable order singularities, etc., are also reviewed. Case studies are included to illustrate the effectiveness of the various methods of calculation of the SIFs and the performance of the special elements.

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A single-region time domain BEM for dynamic crack problems

Cited by 55 publications

References 23 publications

The Time-Domain Dbem for Rapidly Growing Cracks

The Time-Domain Dbem for Rapidly Growing Cracks

Dynamic and static analysis of cracks using the hypersingular formulation of the Boundary Element Method

A review of SIF evaluation and modelling of singularities in BEM

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