A note on numerically computed eigenfunctions and generalized stress intensity factors associated with singular points

Zohar Yosibash; Barna A. Szabó

doi:10.1016/0013-7944(95)00090-9

A note on numerically computed eigenfunctions and generalized stress intensity factors associated with singular points

Zohar Yosibash, Barna A. Szabó

Department of Mechanical Engineering

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29 Scopus citations

Abstract

The solution of linear elastostatic problems in the neighborhood of singular points is characterized by a sequence of eigenpairs and their coefficients, called generalized stress intensity factors (GSIFs). For general singular points, as cracks in anisotropic multimaterial interfaces, and V-notches in composite materials, only numerical approximations of the eigenfunctions are available. This note addresses the question: how should the GSIFs computed using the numerically determined eigenfunctions be interpreted?

Original language	English
Pages (from-to)	593-595
Number of pages	3
Journal	Engineering Fracture Mechanics
Volume	54
Issue number	4
DOIs	https://doi.org/10.1016/0013-7944(95)00090-9
State	Published - 1 Jan 1996

ASJC Scopus subject areas

General Materials Science
Mechanics of Materials
Mechanical Engineering

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abstract = "The solution of linear elastostatic problems in the neighborhood of singular points is characterized by a sequence of eigenpairs and their coefficients, called generalized stress intensity factors (GSIFs). For general singular points, as cracks in anisotropic multimaterial interfaces, and V-notches in composite materials, only numerical approximations of the eigenfunctions are available. This note addresses the question: how should the GSIFs computed using the numerically determined eigenfunctions be interpreted?",

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N2 - The solution of linear elastostatic problems in the neighborhood of singular points is characterized by a sequence of eigenpairs and their coefficients, called generalized stress intensity factors (GSIFs). For general singular points, as cracks in anisotropic multimaterial interfaces, and V-notches in composite materials, only numerical approximations of the eigenfunctions are available. This note addresses the question: how should the GSIFs computed using the numerically determined eigenfunctions be interpreted?

AB - The solution of linear elastostatic problems in the neighborhood of singular points is characterized by a sequence of eigenpairs and their coefficients, called generalized stress intensity factors (GSIFs). For general singular points, as cracks in anisotropic multimaterial interfaces, and V-notches in composite materials, only numerical approximations of the eigenfunctions are available. This note addresses the question: how should the GSIFs computed using the numerically determined eigenfunctions be interpreted?

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A note on numerically computed eigenfunctions and generalized stress intensity factors associated with singular points

Abstract

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