Dual boundary element method for anisotropic dynamic fracture mechanics

Albuquerque, E.L.; Sollero, Paulo; Aliabadi, M.H.

doi:10.1002/nme.912

Cited by 49 publications

(26 citation statements)

References 20 publications

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“…Figure 13 shows the numerical results for the normalized mode-I and mode-II dynamic SIFs. A comparison of the present numerical results with those of Albuquerque et al [13], García-Sánchez et al [24], and the FE results using ANSYS shows a good agreement in general. …”

Section: A Slanted Edge Crack In An Anisotropic Platesupporting

confidence: 71%

A hypersingular time‐domain BEM for 2D dynamic crack analysis in anisotropic solids

Wünsche

Zhang

Kuna

et al. 2008

Numerical Meth Engineering

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SUMMARYA hypersingular time-domain boundary element method (BEM) for transient elastodynamic crack analysis in two-dimensional (2D), homogeneous, anisotropic, and linear elastic solids is presented in this paper. Stationary cracks in both infinite and finite anisotropic solids under impact loading are investigated. On the external boundary of the cracked solid the classical displacement boundary integral equations (BIEs) are used, while the hypersingular traction BIEs are applied to the crack-faces. The temporal discretization is performed by a collocation method, while a Galerkin method is implemented for the spatial discretization. Both temporal and spatial integrations are carried out analytically. Special analytical techniques are developed to directly compute strongly singular and hypersingular integrals. Only the line integrals over an unit circle arising in the elastodynamic fundamental solutions need to be computed numerically by standard Gaussian quadrature. An explicit time-stepping scheme is obtained to compute the unknown boundary data including the crack-opening-displacements (CODs). Special crack-tip elements are adopted to ensure a direct and an accurate computation of the elastodynamic stress intensity factors from the CODs. Several numerical examples are given to show the accuracy and the efficiency of the present hypersingular time-domain BEM.

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Section: A Slanted Edge Crack In An Anisotropic Platesupporting

confidence: 71%

A hypersingular time‐domain BEM for 2D dynamic crack analysis in anisotropic solids

Wünsche

Zhang

Kuna

et al. 2008

Numerical Meth Engineering

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show abstract

“…Albuquerque et al (2003Albuquerque et al ( , 2004 and Gaul et al (2003) used the dual reciprocity BEM. This method applies the corresponding elastostatic fundamental solutions and thus avoids the use of the mathematically complicated elastodynamic fundamental solutions for anisotropic solids.…”

Section: Introductionmentioning

confidence: 99%

Transient dynamic analysis of interface cracks in layered anisotropic solids under impact loading

et al. 2008

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Transient elastodynamic crack analysis in two-dimensional (2D), layered, anisotropic and linear elastic solids is presented in this paper. A time-domain boundary element method (BEM) in conjunction with a multi-domain technique is developed for this purpose. Time-domain elastodynamic fundamental solutions for homogenous, anisotropic and linear elastic solids are applied in the present time-domain BEM. The spatial discretization of the boundary integral equations is performed by a Galerkin-method, while a collocation method is adopted for the temporal discretization of the arising convolution integrals. An explicit time-stepping scheme is developed to compute the unknown boundary data and the crack-opening-displacements (CODs). To show the effects of the crack configuration, the material anisotropy, the layer combination and the dynamic loading on the dynamic stress intensity factors and the scattered elastic wave fields, several numerical examples are presented and discussed.

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“…This fact may influence an easy and efficient numerical implementation of the corresponding BEM. To circumvent this difficulty, a dual reciprocity BEM has been developed by Albuquerque et al [1,2] and Gaul et al [20]. In this method, the corresponding elastostatic fundamental solutions for anisotropic elastic solids are utilized and thus avoid the use of the mathematically complicated elastodynamic fundamental solutions for anisotropic elastic solids.…”

Section: Introductionmentioning

confidence: 99%

On two hypersingular time-domain BEM for dynamic crack analysis in 2D anisotropic elastic solids

Wünsche

Zhang

García-Sánchez

et al. 2009

Computer Methods in Applied Mechanics and Engineering

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Dual boundary element method for anisotropic dynamic fracture mechanics

Cited by 49 publications

References 20 publications

A hypersingular time‐domain BEM for 2D dynamic crack analysis in anisotropic solids

A hypersingular time‐domain BEM for 2D dynamic crack analysis in anisotropic solids

Transient dynamic analysis of interface cracks in layered anisotropic solids under impact loading

On two hypersingular time-domain BEM for dynamic crack analysis in 2D anisotropic elastic solids

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