Stresses in an Elastic Strip Having an Eccentric Circular Hole under Tension An Analysis Using the Displacement Potential

This paper presents an analytical solution for an infinite strip having an eccentric circular hole when the strip is subjected to tension at infinity. The analysis is based on the Papcovich-Neuber potential approach and the solution is obtained by the proper combination of harmonic function in integ...

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Bibliographic Details
Published inTransactions of the Japan Society of Mechanical Engineers Series A Vol. 72; no. 723; pp. 1779 - 1786
Main Authors HORIBE, Tadashi, TSUCHIDA, Eiichiro, KUSANO, Nobuyuki
Format Journal Article
LanguageJapanese
Published The Japan Society of Mechanical Engineers 2006
Subjects
Eccentric Circular Hole
Elasticity
Infinite Strip
Stress Concentration
Tension
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Summary:This paper presents an analytical solution for an infinite strip having an eccentric circular hole when the strip is subjected to tension at infinity. The analysis is based on the Papcovich-Neuber potential approach and the solution is obtained by the proper combination of harmonic function in integral forms and infinite series. The boundary conditions both on edge of the strip and on the hole are satisfied using the relations between the polar and Cartesian harmonics. The numerical results obtained are compared with those of existing solutions. A detailed stresses around the hole are illustrated for various sizes of the eccentricity and the hole.
ISSN:0387-5008
1884-8338
DOI:10.1299/kikaia.72.1779