Browsing by Subject "Stress intensity factors"
Now showing items 1-9 of 9
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Article
The singular function boundary integral method for 3-D Laplacian problems with a boundary straight edge singularity
(2012)Three-dimensional Laplace problems with a boundary straight-edge singularity caused by two intersecting flat planes are considered. The solution in the neighbourhood of the straight edge can be expressed as an asymptotic ...
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Article
The singular function boundary integral method for a two-dimensional fracture problem
(2006)The singular function boundary integral method (SFBIM) originally developed for Laplacian problems with boundary singularities is extended for solving two-dimensional fracture problems formulated in terms of the Airy stress ...
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Article
The singular function boundary integral method for biharmonic problems with crack singularities
(2007)We use the singular function boundary integral method (SFBIM) to solve two model fracture problems on the plane. In the SFBIM, the solution is approximated by the leading terms of the local asymptotic solution expansion, ...
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Article
A singular function boundary integral method for laplacian problems with boundary singularities
(2006)A singular function boundary integral method for Laplacian problems with boundary singularities is analyzed. In this method, the solution is approximated by the truncated asymptotic expansion for the solution near the ...
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Conference Object
The singular function boundary integral method for Laplacian problems with boundary singularities in two and three-dimensions
(2010)We present a Singular Function Boundary Integral Method (SFBIM) for solving elliptic problems with a boundary singularity. In this method the solution is approximated by the leading terms of the asymptotic solution expansion, ...
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Article
The Singular Function Boundary Integral Method for singular Laplacian problems over circular sections
(2010)The Singular Function Boundary Integral Method (SFBIM) for solving two-dimensional elliptic problems with boundary singularities is revisited. In this method the solution is approximated by the leading terms of the asymptotic ...
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Article
The solution of Laplacian problems over L-shaped domains with a singular function boundary integral method
(2002)The singular function boundary integral method is applied for the solution of a Laplace equation problem over an L-shaped domain. The solution is approximated by the leading terms of the local asymptotic solution expansion, ...
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Article
Solving Laplacian problems with boundary singularities: A comparison of a singular function boundary integral method with the p/hp version of the finite element method
(2005)We solve a Laplacian problem over an L-shaped domain using a singular function boundary integral method as well as the p/hp finite element method. In the former method, the solution is approximated by the leading terms of ...
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Article
Stress intensity factor computation using the method of fundamental solutions: Mixed-mode problems
(2007)The method of fundamental solutions is applied to the computation of stress intensity factors in linear elastic fracture mechanics. The displacements are approximated by linear combinations of the fundamental solutions of ...