Mixed boundary value problems for a cylindrical shell

L. M. Keer; H. A. Watts

doi:10.1016/0020-7683(76)90037-8

Mixed boundary value problems for a cylindrical shell

L. M. Keer^*, H. A. Watts

^*Corresponding author for this work

Civil and Environmental Engineering

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

12 Scopus citations

Abstract

Two mixed boundary value problems in potential theory for a semi-infinite cylindrical shell are solved. The first is interpreted as a heat conduction problem for an insulated shell containing a circumferential obstruction. The second is the torsion of a cylindrical shell containing a circumferential crack. For both problems the normal derivative of the potential function is taken as zero on the inner and outer shell walls. The boundary conditions at the end of the shell are mixed with respect to the potential function and its normal derivative. The problems are formulated using integral transforms in a manner leading to a singular integral equation which can be solved by numerical means. Intensity factors along the circumference separating the mixed conditions are computed.

Original language	English (US)
Pages (from-to)	723-729
Number of pages	7
Journal	International Journal of Solids and Structures
Volume	12
Issue number	11
DOIs	https://doi.org/10.1016/0020-7683(76)90037-8
State	Published - 1976

ASJC Scopus subject areas

Modeling and Simulation
Materials Science(all)
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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10.1016/0020-7683(76)90037-8

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title = "Mixed boundary value problems for a cylindrical shell",

abstract = "Two mixed boundary value problems in potential theory for a semi-infinite cylindrical shell are solved. The first is interpreted as a heat conduction problem for an insulated shell containing a circumferential obstruction. The second is the torsion of a cylindrical shell containing a circumferential crack. For both problems the normal derivative of the potential function is taken as zero on the inner and outer shell walls. The boundary conditions at the end of the shell are mixed with respect to the potential function and its normal derivative. The problems are formulated using integral transforms in a manner leading to a singular integral equation which can be solved by numerical means. Intensity factors along the circumference separating the mixed conditions are computed.",

author = "Keer, {L. M.} and Watts, {H. A.}",

note = "Funding Information: Acknowledgements-The authors are grateful for support from the U.S. Energy Research and Development Administration. One of them (LMK) wishes to thank the Science Research Council of Great Britain who allowed him to pursue this research at the Department of Mathematics, University of Glasgow, during May 1974.",

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doi = "10.1016/0020-7683(76)90037-8",

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T1 - Mixed boundary value problems for a cylindrical shell

AU - Keer, L. M.

AU - Watts, H. A.

N1 - Funding Information: Acknowledgements-The authors are grateful for support from the U.S. Energy Research and Development Administration. One of them (LMK) wishes to thank the Science Research Council of Great Britain who allowed him to pursue this research at the Department of Mathematics, University of Glasgow, during May 1974.

PY - 1976

Y1 - 1976

N2 - Two mixed boundary value problems in potential theory for a semi-infinite cylindrical shell are solved. The first is interpreted as a heat conduction problem for an insulated shell containing a circumferential obstruction. The second is the torsion of a cylindrical shell containing a circumferential crack. For both problems the normal derivative of the potential function is taken as zero on the inner and outer shell walls. The boundary conditions at the end of the shell are mixed with respect to the potential function and its normal derivative. The problems are formulated using integral transforms in a manner leading to a singular integral equation which can be solved by numerical means. Intensity factors along the circumference separating the mixed conditions are computed.

AB - Two mixed boundary value problems in potential theory for a semi-infinite cylindrical shell are solved. The first is interpreted as a heat conduction problem for an insulated shell containing a circumferential obstruction. The second is the torsion of a cylindrical shell containing a circumferential crack. For both problems the normal derivative of the potential function is taken as zero on the inner and outer shell walls. The boundary conditions at the end of the shell are mixed with respect to the potential function and its normal derivative. The problems are formulated using integral transforms in a manner leading to a singular integral equation which can be solved by numerical means. Intensity factors along the circumference separating the mixed conditions are computed.

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JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

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ER -

Mixed boundary value problems for a cylindrical shell

Abstract

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