Stress intensity factors for curved and kinked cracks in plane extension

Chen, Y.Z.

doi:10.1016/s0167-8442(99)00016-6

Cited by 39 publications

(29 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Fig. 15 shows the variations of the SIFs with respect to the crack semi-angle() using the present method, and those obtained in references [29] and [9], which are in very good agreement. Variation of the SERR with respect to the crack semi-angle is shown in Fig.…”

Section: Results and Discussuionsupporting

confidence: 76%

“…Using the SIFs in Refs. [9,29] and equation 17, the corresponding SERRs are evaluated and compared with the present findings. The results show that, for the isotropic material, K II has an almost linear variation with respect to the crack semi-angle and is at its maximum when the crack semi-angle is =90.…”

Section: Results and Discussuionmentioning

confidence: 90%

“…1), the normalized mode I and II SIF values are computed and compared with those results obtained by Chen [29] and Garcia et al [9]. In Ref.…”

Section: Results and Discussuionmentioning

confidence: 99%

“…Due to the flexibility of the present method, the future studies should cover the analysis of multiple curved cracks, kinked cracks and bimaterial interface cracks in composites using the boundary element shape sensitivities. KI [29] KII [29] KI [9] KII [9]   Ref. [9] Present Ref.…”

Section: Discussionmentioning

confidence: 99%

See 3 more Smart Citations

Fracture Mechanics Analysis of Composite Structures Using the Boundary Element Shape Sensitivities

Tafreshi

2009

AIAA Journal

View full text Add to dashboard Cite

show abstract

Section: Results and Discussuionsupporting

confidence: 76%

Section: Results and Discussuionmentioning

confidence: 90%

“…1), the normalized mode I and II SIF values are computed and compared with those results obtained by Chen [29] and Garcia et al [9]. In Ref.…”

Section: Results and Discussuionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

See 2 more Smart Citations

Fracture Mechanics Analysis of Composite Structures Using the Boundary Element Shape Sensitivities

Tafreshi

2009

AIAA Journal

View full text Add to dashboard Cite

show abstract

“…Values of F (γ ep 1 ) for this crack have been computed before [2,7,8,30]. Previous results, converged to between three and ten digits, and new results are summarized in Table 7.1.…”

Section: Numerical Examplesmentioning

confidence: 94%

A Fast and Stable Solver for Singular Integral Equations on Piecewise Smooth Curves

Helsing¹

2011

SIAM J. Sci. Comput.

View full text Add to dashboard Cite

Abstract.A scheme for the numerical solution of singular integral equations on piecewise smooth curves is presented. It relies on several techniques: reduction, Nyström discretization, composite quadrature, recursive compressed inverse preconditioning, and multipole acceleration. The scheme is fast and stable. Its computational cost grows roughly logarithmically with the precision sought and linearly with overall system size. When the integral equation models a boundary value problem, the achievable accuracy may be close to the condition number of that problem times machine epsilon. This is illustrated by application to elastostatic problems involving zigzag-shaped cracks with up to twenty thousand corners and branched cracks with hundreds of triple junctions.

show abstract

A numerical solution technique of hypersingular integral equation for curved cracks

Chen

2003

Commun. Numer. Meth. Engng.

View full text Add to dashboard Cite

SUMMARYIn this paper, a hypersingular integral equation for curved cracks in plane elasticity is formulated and presented. This paper describes a new numerical technique for solution of deep curved cracks in plane elasticity. In this method, the crack curve length is taken as the co-ordinate in the hypersingular integral equation of the curved crack problems. The curved crack conÿguration maps on the real axis with interval (−a; a), where '2a' is the arc length of the crack. The original hypersingular integral equation is converted into other hypersingular integral equation which is formulated on the curve length coordinate, or on (−a; a). The hypersingular integral equation is solved numerically. Numerical examples prove that higher e ciency has been achieved in the suggested method.

show abstract

Stress intensity factors for curved and kinked cracks in plane extension

Cited by 39 publications

References 7 publications

Fracture Mechanics Analysis of Composite Structures Using the Boundary Element Shape Sensitivities

Fracture Mechanics Analysis of Composite Structures Using the Boundary Element Shape Sensitivities

A Fast and Stable Solver for Singular Integral Equations on Piecewise Smooth Curves

A numerical solution technique of hypersingular integral equation for curved cracks

Contact Info

Product

Resources

About