The Fundamental Solution for a Consistent Complex Model of the Shallow Shell Equations

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dc.contributor.authorColeman, Matthew P.
dc.date.accessioned2019-11-12T20:20:18Z
dc.date.available2019-11-12T20:20:18Z
dc.date.issued1999-09-09
dc.description.abstractThe calculation of the Fourier transforms of the fundamental solution in shallow shell theory ostensibly was accomplished by J. L. Sanders [J. Appl. Mech. 37 (1970), 361-366]. However, as is shown in detail in this paper, the complex model used by Sanders is, in fact, inconsistent. This paper provides a consistent version of Sanders's complex model, along with the Fourier transforms of the fundamental solution for this corrected model. The inverse Fourier transforms are then calculated for the particular cases of the shallow spherical and circular cylindrical shells, and the results of the latter are seen to be in agreement with results appearing elsewhere in the literature.
dc.description.departmentMathematics
dc.formatText
dc.format.extent22 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationColeman, M. P. (1999). The fundamental solution for a consistent complex model of the shallow shell equations. <i>Electronic Journal of Differential Equations, 1999</i>(32), pp. 1-22.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/8796
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 1999, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectShallow shell theory
dc.subjectFundamental solution
dc.subjectSpherical shell
dc.subjectCylindrical shell
dc.titleThe Fundamental Solution for a Consistent Complex Model of the Shallow Shell Equations
dc.typeArticle

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