Dual boundary element method for three-dimensional fracture mechanics analysis

Mi, Y.; Aliabadi, M.H.

doi:10.1016/0955-7997(92)90047-b

Cited by 250 publications

(155 citation statements)

References 9 publications

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“…The largest difference is found at the mid-point of the crack front and is within 8%. BEASY basically uses the dual boundary element method (DBEM) (Mi and Aliabadi, 1992) for 3D crack analysis. The axial stress contour around the crack tip and the mesh refinement generated using BEASY are shown in Fig.…”

Section: Resultsmentioning

confidence: 99%

Fatigue growth of a surface crack in a V-shaped notched round bar under cyclic tension

Chandra

Purbolaksono

Nukman

et al. 2014

J. Zhejiang Univ. Sci. A

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This paper presents modeling results for fatigue crack growths of a semi-elliptical surface crack in a V-shaped notched round bar under uniform cyclic tension. All the analyses were carried out by using a software package featuring the boundary element method. The J-integral technique was used to compute the stress intensity factors (SIFs), and the NASGRO crack growth rate was chosen to simulate the fatigue crack growths. Mechanical and fracture properties of AZ-6A-T5 magnesium alloy were used for our analysis. Crack shape evolutions for different crack aspect ratios and the corresponding SIFs may be correlated to study the behavior of crack growths. An unstable crack growth was observed when the evolving crack aspect ratio was between 0.6 and 0.7. Careful consideration should be taken if the cylinder contains a defect which has a straight shape on the crack front or a smaller crack aspect ratio.

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Section: Resultsmentioning

confidence: 99%

Fatigue growth of a surface crack in a V-shaped notched round bar under cyclic tension

Chandra

Purbolaksono

Nukman

et al. 2014

J. Zhejiang Univ. Sci. A

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“…Fig. 16 compares the SIFs by IGABEM and Lagrange BEM from [44]. It should be noted that for the presented result by Lagrange basis in Fig.…”

Section: Stress Intensity Factor Testmentioning

confidence: 99%

“…An inclined penny crack (ϕ = π/4) centered at a cylindrical bar is analyzed by IGABEM, the geometric size and boundary condition can be found in the work by Mi and Aliabadi [44]. In that work, the discontinuous Lagrange Table 1 Error of SIFs for penny-shaped crack with ϕ = π/6.…”

Section: Stress Intensity Factor Testmentioning

confidence: 99%

“…For IGABEM, the default α is 0.5 for both quadratic and cubic NURBS basis functions. We also compared discontinuous quadratic Lagrange element BEM (LBEM) [44] where the collocation points are moved inside each element in order to fulfill the continuity requirement in BIEs. The mesh for LBEM is generated from the NURBS ) - surface and then it will maintain the same topological element discretization as in IGABEM, see Fig.…”

Section: Convergence Testmentioning

confidence: 99%

“…In the present work, we use the singularity subtraction technique (SST) proposed by Guiggiani [86,83] to remove the singularities arising in both BIEs. The SST is a method for the treatment of singular integrals regardless of mesh discretization and proved to be efficient for fracture via dual BEM [44].…”

Section: Numerical Integrationmentioning

confidence: 99%

See 2 more Smart Citations

Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth

Peng

Atroshchenko

Kerfriden

et al. 2017

Computer Methods in Applied Mechanics and Engineering

194

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Highlights• We implement an isogeometric BEM routine for fracture by use of dual boundary integral equations.• We propose a singular integration scheme to improve the quadrature accuracy for elements with high aspect ratios.• We investigate the approaches to compute stress intensity factors based on a NURBS representation of the crack surfaces.• We outline a geometric algorithm to propagate the crack based on the fatigue Paris law. AbstractWe present a novel numerical method to simulate crack growth in 3D, directly from the Computer-Aided Design (CAD) geometry of the component, without any mesh generation. The method is an isogeometric boundary element method (IGABEM) based on non-uniform rational B-splines (NURBS). NURBS basis functions are used for the domain and crack representation as well as to approximate the physical quantities involved in the simulations. A stable quadrature scheme for singular integration is proposed to enhance the robustness of the method in dealing with highly distorted elements. Convergence studies in the crack opening displacement is performed for a penny-shaped crack and an elliptical crack. Two approaches to extract stress intensity factors (SIFs): the contour M integral and the virtual crack closure integral are compared using dual integral equations. The results show remarkable accuracy in the computed SIFs, leading to smooth crack paths and reliable fatigue lives, without requiring the generation of any mesh from the CAD model of the component under consideration.

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Boundary element analysis of geomechanical fracture

Wilde¹

1999

Num Anal Meth Geomechanics

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SUMMARYIn this paper, a single-region BEM formulation for the three-dimensional analysis of fractures in geomechanics is developed. The technique allows the use of continuous elements in the discretization of the crack surfaces. Intially, an example from earthquake control theory is solved to demonstrated the validity of the technique for partially loaded crack surfaces. The method is then extended to deal with contact between crack surfaces by the incorporation of spring constraints. This allows two futher applications to be studied, one from hydraulic fracture and the other involving extraction of an ore seam.

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Dual boundary element method for three-dimensional fracture mechanics analysis

Cited by 250 publications

References 9 publications

Fatigue growth of a surface crack in a V-shaped notched round bar under cyclic tension

Fatigue growth of a surface crack in a V-shaped notched round bar under cyclic tension

Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth

Boundary element analysis of geomechanical fracture

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