Convergence of a quadrature formula for the approximation of stress intensity factor for planar cracks

Oscar Ascenzi; Lorenzo Pareschi; Fausto Segala

doi:10.1016/j.amc.2003.10.004

Convergence of a quadrature formula for the approximation of stress intensity factor for planar cracks

Oscar Ascenzi, Lorenzo Pareschi, Fausto Segala

University of Ferrara

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Recently we have presented a numerical quadrature formula for the evaluation of the stress intensity factor for convex planar cracks, given as integral approximation [Int. J. Numer. Methods Eng. 54 (2002) 241]. In this paper we prove convergence of this quadrature formula together with other theoretical estimates on the integral approximation.

Original language	English
Pages (from-to)	597-617
Number of pages	21
Journal	Applied Mathematics and Computation
Volume	158
Issue number	3
DOIs	https://doi.org/10.1016/j.amc.2003.10.004
State	Published - 15 Nov 2004
Externally published	Yes

Keywords

Convex planar cracks
Quadrature formula
Singular integrals
Stress intensity factor

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10.1016/j.amc.2003.10.004

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title = "Convergence of a quadrature formula for the approximation of stress intensity factor for planar cracks",

abstract = "Recently we have presented a numerical quadrature formula for the evaluation of the stress intensity factor for convex planar cracks, given as integral approximation [Int. J. Numer. Methods Eng. 54 (2002) 241]. In this paper we prove convergence of this quadrature formula together with other theoretical estimates on the integral approximation.",

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AU - Ascenzi, Oscar

AU - Pareschi, Lorenzo

AU - Segala, Fausto

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Y1 - 2004/11/15

N2 - Recently we have presented a numerical quadrature formula for the evaluation of the stress intensity factor for convex planar cracks, given as integral approximation [Int. J. Numer. Methods Eng. 54 (2002) 241]. In this paper we prove convergence of this quadrature formula together with other theoretical estimates on the integral approximation.

AB - Recently we have presented a numerical quadrature formula for the evaluation of the stress intensity factor for convex planar cracks, given as integral approximation [Int. J. Numer. Methods Eng. 54 (2002) 241]. In this paper we prove convergence of this quadrature formula together with other theoretical estimates on the integral approximation.

KW - Convex planar cracks

KW - Quadrature formula

KW - Singular integrals

KW - Stress intensity factor

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JO - Applied Mathematics and Computation

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ER -

Convergence of a quadrature formula for the approximation of stress intensity factor for planar cracks

Abstract

Keywords

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