Dual boundary element incremental analysis of crack propagation

Portela, A.; Aliabadi, M.H.; Rooke, D.P.

doi:10.1016/0045-7949(93)90189-k

Cited by 190 publications

(119 citation statements)

References 8 publications

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“…The BEM as such cannot solve fracture problems due to the inherent impossibility of distinguishing forces applied on one side of the crack from these on the opposite side. A version of the BEM known as the Dual Boundary Element Method [30,31] has, however, been used.…”

Section: Methodsmentioning

confidence: 99%

Compressional fractures considered as contact problems and mixed complementarity problems

Bremaecker

Ferris

Ralph

2000

Engineering Fracture Mechanics

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The boundary conditions on the faces of compressional fractures are not known a priori since these faces may or may not be in contact, but the product of the normal stress and the normal relative displacement is necessarily null; similar but more complex conditions may be written for the shear stress and displacement. These conditions can be expressed in the form of a mixed linear complementarity problem. We use the Displacement Discontinuity Method and the PATH algorithm to solve them. This scheme is faster and more accurate than the methods previously used. The shear stresses on two parallel cracks depend on their separation, their inclination with respect to the imposed maximum compressional stress, and their geometry. The shear stress on two horizontal cracks separated by a small upward or downward step Ð considering the imposed direction of motion Ð drops to zero very near the step; in the case of a downward step this region is surrounded by a small region where the stress increases by a factor of about 10. Many more cases must be investigated before general conclusions can be drawn. 7

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Section: Methodsmentioning

confidence: 99%

Compressional fractures considered as contact problems and mixed complementarity problems

Bremaecker

Ferris

Ralph

2000

Engineering Fracture Mechanics

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“…This latter integral is then evaluated analytically, while standard Gaussian quadrature is used for numerical integration of the regular integral. Portela [21] has shown that this procedure is general and applicable to any type of boundary element, in which the necessary conditions for the existence of the finite-part integrals are implicitly satisfied.…”

Section:  mentioning

confidence: 99%

“…BothCauchyandHadamardprincipalvalueintegralsarefinitepartsofimproperintegrals,seeLinz [20]andPortela [21].Principalvalueintegrals,computedthroughfinitepartintegrals,wereintroducedintheboundaryelementmethodbyPortelaetal. [16].…”

Section: Boundary Integral Equationsmentioning

confidence: 99%

Analysis of Dual Boundary Element in Shape Optimization

Gomes¹,

Portela²,

Emidio³

et al. 2016

IOSR

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“…However, for crack growth problems, the continuous remeshing process has been a difficulty for most finite element methods [2]. Dual Boundary element, on the other hand, is more flexible as only the boundary needs to be discretized during the analysis [3][4][5][6]. The purpose of the current research is to minimize the extent of the remeshing process, yield as accurate results as possible and enable crack propagation to be simulated in large scale structures with different element types.…”

Section: Introductionmentioning

confidence: 99%

Coupled FEM-BEM crack growth analysis

Zhang¹,

Adey²

2007

WIT Transactions on Modelling and Simulation, Vol 44

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The increasing interest in large structure fracture analysis has heightened the need for efficient numerical computational tools suitable to predict crack propagation. While a sub modelling approach can be used in some cases it does not take into account the redistribution of the loads in the structure thus requiring a large part of the structure to be included in the crack growth model.Generally large structures are modelled with finite element methods (FEM) because of the many varied types of structural element. Modelling crack growth with FEM results in a particularly complex remeshing process as the crack propagates. Hence, self-adaptive remeshing is one of the major features that must be incorporated in the construction of a computational tool to properly perform crack propagation analysis with the FE method.The boundary element method (BEM) has attracted lots of attention in the field of fracture mechanics as it simplifies the meshing process and has the ability to accurately represent the singular stress fields near the crack front. One challenge is how the two methods can work together efficiently for a large structure. A new FEM-BEM method is therefore proposed to perform such crack growth analyses. This paper describes the methodology of a coupled FEM-BEM crack growth analysis for a large scale structure. Both finite element software ABAQUS and boundary element software BEASY were used in the analysis. Several examples are presented at the end of the paper including crack growth in a gear tooth and in a stiffened panel respectively.

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Dual boundary element incremental analysis of crack propagation

Cited by 190 publications

References 8 publications

Compressional fractures considered as contact problems and mixed complementarity problems

Compressional fractures considered as contact problems and mixed complementarity problems

Analysis of Dual Boundary Element in Shape Optimization

Coupled FEM-BEM crack growth analysis

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