The dual boundary element method in dynamic fracture mechanics

Numerical Meth Engineering

2004

SUMMARYIn this work, the dual boundary element method formulation is developed for effective modelling of dynamic crack problems. The static fundamental solutions are used and the domain integral, which comes from the inertial term, is transformed into boundary integrals using the dual reciprocity technique. Dynamic stress intensity factors are computed from crack opening displacements. Comparisons are made with quasi-isotropic as well as anisotropic results, using the sub-region technique. Several examples are presented to assess the accuracy and efficiency of the proposed method.

Section: Integral Equationsmentioning

confidence: 99%

Dual boundary element method for anisotropic dynamic fracture mechanics

Albuquerque

Sollero

Numerical Meth Engineering

2004

“…But the dual boundary element method is based on two integral equations, namely the displacement and traction boundary equations. Successful applications of this method in two-dimensional static and dynamic problems, and also three-dimensional static problems, have been demonstrated by Portela et al, 7 Fedelinski et al 15 and Mi and Aliabadi. The dual boundary element integral equation for the reference problem can be written in the discretized form as follows:…”

Section: Dual Boundary Element Methodsmentioning

confidence: 92%

A variational technique for boundary element analysis of 3D fracture mechanics weight functions: static

Wen

Int. J. Numer. Meth. Engng.

Rooke³

1998

The dual boundary element method coupled with the weight function technique is developed for the analysis of three-dimensional elastostatic fracture mechanics mixed-mode problems. The weight functions used to calculate the stress intensity factors are deÿned by the derivatives of traction and displacement for a reference problem. A knowledge of the weight functions allows the stress intensity factors for any loading on the boundary to be calculated by means of a simple boundary integration without singularities. Values of mixedmode stress intensity factors are presented for an edge crack in a rectangular bar and a slant circular crack embedded in a cylindrical bar, for both uniform tensile and pure bending loads applied to the ends of the bars. ? 1998 John Wiley & Sons, Ltd.

“…As the result, general mixed-mode problems can be solved in a single-region formulation. Fedelinski, Aliabadi and Rooke have applied the DBEM to cracked structures subjected to both body forces [7] and dynamic loads [8].…”

Section: Introductionmentioning

confidence: 99%

The dual boundary element method:?-integral for dynamic stress intensity factors

Fedeliński

Rooke³

1994

Int J Fract

Self Cite

The application of the dual boundary element method and the path independent J-integral for the evaluation of dynamic stress intensity factors of stationary cracks in a linear elastic material is presented. The distinct set of boundary equations of elastodynamics is obtained by using the dual boundary element method and the dual reciprocity approach. Numerical implementation of the path-independent J-integral and the decomposition technique is presented. The method is applied for several cracked structures and the results are compared with solutions obtained by using other methods.