Stresses Around an Eccentric Hole in an Infinite Strip Subjected to Internal Pressure

In this paper, an analytical solution for an infinite strip having an eccentrically located circular hole is given when the strip is subjected to internal pressure around the hole. The solution is based on an approach involving Papcovich-Neuber displacement potentials and deduced using the simple fo...

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Published inJournal of Solid Mechanics and Materials Engineering Vol. 1; no. 9; pp. 1136 - 1146
Main Authors HORIBE, Tadashi, TSUCHIDA, Eiichiro
Format Journal Article
LanguageEnglish
Published The Japan Society of Mechanical Engineers 2007
Subjects
Cartesian
Eccentric hole
Eccentricity
Eccentrics
Elasticity
Harmonics
Internal Pressure
Materials engineering
Mathematical analysis
Numerical Analysis
Stress
Stress Concentration
Strip
Structural Analysis
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Abstract In this paper, an analytical solution for an infinite strip having an eccentrically located circular hole is given when the strip is subjected to internal pressure around the hole. The solution is based on an approach involving Papcovich-Neuber displacement potentials and deduced using the simple forms of Cartesian and cylindrical harmonics. The boundary conditions on both sides of the strip and around the hole are completely satisfied with the aid of the relations between the Cartesian and cylindrical harmonics. The solution is shown in graphs and the effect of the eccentric hole on the stress distribution is clarified.
AbstractList In this paper, an analytical solution for an infinite strip having an eccentrically located circular hole is given when the strip is subjected to internal pressure around the hole. The solution is based on an approach involving Papcovich-Neuber displacement potentials and deduced using the simple forms of Cartesian and cylindrical harmonics. The boundary conditions on both sides of the strip and around the hole are completely satisfied with the aid of the relations between the Cartesian and cylindrical harmonics. The solution is shown in graphs and the effect of the eccentric hole on the stress distribution is clarified.
Author TSUCHIDA, Eiichiro
HORIBE, Tadashi
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References (6) Theotokoglou, E. N. and Tsamasphyros, G. J., Stress Concentration for a Circular Hole in a Strip by Singular Integral Equations, Mech. Res. Commun., Vol. 13-4, (1986), pp. 221-229.
(13) Horibe, T. et al., Stresses in an elastic strip having an eccentric circular hole under tension (An analysis using the displacement potential), Trans. JSME., 72-723, (2006-11), pp. 185-192 (in Japanese).
(4) Ling, C. B., Stresses in a Perforated Strip, J. Appl. Mech., Vol. 24, (1957), pp. 365-375.
(9) Tsuchida, E. et al., Bending of a Thick Plate with an Eccentric Cavity, Trans. JSME, Vol. 43-369, (1977-5), pp. 1629-1641 (in Japanese).
(2) Nakahara, I. et al., Handbook of Elasticity, p. 284 (2001), Asakura Book Co.
(8) Tsuchida, E. et al., Uniaxial Tension of a Thick Plate with an Eccentric Cavity, Trans. JSME, Vol. 41-352, (1975), pp. 3366-3378 (in Japanese).
(1) Savin, G. N., Stress Concentration Around Holes, (1961), Pergamon Press.
(12) Horibe, T. and Tsuchida E., Stresses around an eccentric hole in an infinite strip subjected to side pressure, JSME International Journal, Solid Mechanics and Material Engineering, 49-4, (2006-10), pp. 536-547.
(5) Itou, S., The Effect of Couple-stresses on Stress Concentrations Around a Circular Hole in a Strip under Tension, Int. J. Eng. Sci., Vol. 14-9, (1976), pp. 861-867.
(7) Ishida, M., Tension of a Strip with an Eccentric Hole, Trans. JSME, Vol. 19-87, (1953), pp. 100-106 (in Japanese).
(10) Kawakami, T. et al., Tension of an Infinite Cylinder with an Eccentric Cavity, Trans. JSME, Vol. 45-397, A(1979-9), pp. 990-997 (in Japanese).
(11) Kawakami, T. and Nakahara, I., Torsion of an Infinite Cylinder with an Eccentric Cavity, Trans. JSME, Vol. 47-419, A(1981-7), pp. 720-729 (in Japanese).
(3) Howland, R. C. J., On the Stresses in the Neighborhood of a Circular Hole in a Strip under Tension, Proc. Roy. Soc. Lond., Ser. A, Vol. 229, (1930), pp. 49-86.
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SubjectTerms Cartesian
Eccentric hole
Eccentricity
Eccentrics
Elasticity
Harmonics
Internal Pressure
Materials engineering
Mathematical analysis
Numerical Analysis
Stress
Stress Concentration
Strip
Structural Analysis
Title Stresses Around an Eccentric Hole in an Infinite Strip Subjected to Internal Pressure
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