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The semi-elliptical surface crack—A solution by the alternating method

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Abstract

A numerical solution to the three-dimensional equations of elasticity is presented for the problem of a semi-elliptical surface crack in the surface of a finite thickness solid. The alternating method is used to develop the numerical results which incorporate the effects on the stress intensity factor due to the presence of both the front and the back surfaces. The stress intensity factor is presented as a function of position along the crack border for a variety of crack shapes and crack depths. A comparison of the results of this study is made with previous theoretical and experimental work.

Résumé

Une solution numérique à équations tridimensionnelles d'élasticité est présentée pour le problème de la fissure de surface semi-elliptique située en surface ou en solide d'épaisseurs finies.

La méthode proposée est utilisée pour développer des résultats numériques qui incorporent les effets des facteurs d'intensité des contraintes associée à la fois des surfaces “recto et verso” du solide. Le facteur d'intensité des contraintes est décrit pour diverses positions de la fissure et ce dans divers cas de formes et de profondeurs de fissuration. Une comparaison est faite entre les résultats de cette étude et des travaux théoriques et expérimentaux antérieurs.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Colorado State University, 80523, Fort Collins, Colorado, USA

    F. W. Smith

  2. Gardner-Denver Co., 80205, Denver, Colorado, USA

    D. R. Sorensen

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  1. F. W. Smith
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  2. D. R. Sorensen
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Smith, F.W., Sorensen, D.R. The semi-elliptical surface crack—A solution by the alternating method. Int J Fract 12, 47–57 (1976). https://doi.org/10.1007/BF00036008

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  • DOI: https://doi.org/10.1007/BF00036008

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