Minimum distance calculation between a source point and a boundary element

In computational fracture mechanics, great benefits are obtained from the reduced modeling dimension order and the accurate integral formulation of the boundary element method (BEM). However, the direct representation of co-planar surfaces (i.e., cracks) causes a degeneration of the standard displacement BEM formulation which can only be circumvented with special modeling techniques. Aiming to simplify the generalized application of the BEM to fracture mechanics problems, this paper presents a two-dimensional crack modeling approach. The method uses the direct BEM displacement formulation within a single-domain model to efficiently and precisely calculate any mixed mode crack tip stress intensity factor. Details of the application of the method are presented, while its accuracy and reliability are demonstrated through numerous comparisons with benchmark results.

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“…(8) is its applicability to very small r/ h ratios which is the opposite of Eq. (7), where e or m tends to infinity for r/ h < 0.25 [25,26].…”

Section: Crack Modeling and Discritizationmentioning

confidence: 98%

Finite separation method: an efficient boundary element crack modeling technique

Lalonde

Guilbault

2009

Comput Mech

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“…However, on the basis of the BEM principle the distance between these two independent boundaries is at least larger than the element size [17]. Thus, this requires the geometry removal of the connections between them and therefore the boundaries of the viaduct and the barrier were integrated as a whole.…”

Section: 5-d Boundary Element Modellingmentioning

confidence: 99%

Analysing the acoustic performance of a nearly-enclosed noise barrier using scale model experiments and a 2.5-D BEM approach

Duhamel

Luo

et al. 2020

Applied Acoustics

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This paper describes scale modelling method to measure the acoustic performance of a nearly-enclosed barrier and corresponding predictions using an existing 2.5-D Boundary Element Method(BEM) program. Preliminary investigation results show the deterioration in performance of a nearly-enclosed barrier due to the resonance effect that led to high pressure levels radiating into the surroundings via the topped opening. Absorptive material added to the inner surface of the barrier can effectively improve this phenomenon. Measurements on one-twentieth scale model of barriers, viaducts and vehicle structures were carried out outdoors under controlled conditions. The measured results show the transmission loss of transparent panels on the top were not adequate to make the measured results as high as the predictions. A modified scale model, by coating all the surfaces with rubber, was remeasured. The results from retested tests and calculations were in good agreement each other, which indicate that the 2.5-D BEM code can provide a reliable description of the acoustic performance of a nearly-enclosed barrier. Then the program was able to be employed into the investigation of barrier performance on every area with different acoustic features in the surrounding environment. As expected, the attenuation of the nearly-enclosed barrier averaged around 15 dB in the near filed and around 10 dB in the far field. The number effect of incoherent point sources on the performance is discussed as well for the study of railway traffic noise. The increased number of incoherent point sources can result in smoother and lower attenuations for the whole sound field.

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“…The techniques applied for numerical evaluation of all integrals occurring in the boundary integral equations for elastoplastic material behaviour are described in the report [25]. More details on this topic can be found in the articles [2,10,14,18,19,35].…”

Section: Boundary Integral Formulationsmentioning

confidence: 99%

Analysis of 3D Elastoplastic Notch and Crack Problems using Boundary Element Method

Kühn¹,

Partheymüller²

1997

Boundary Element Topics

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Minimum distance calculation between a source point and a boundary element

Cited by 13 publications

References 6 publications

Finite separation method: an efficient boundary element crack modeling technique

Finite separation method: an efficient boundary element crack modeling technique

Analysing the acoustic performance of a nearly-enclosed noise barrier using scale model experiments and a 2.5-D BEM approach

Analysis of 3D Elastoplastic Notch and Crack Problems using Boundary Element Method

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