Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



The Sanders-Koiter shell equations can be reduced to two coupled equations for all minimal midsurfaces

Authors: G. E. Latta and J. G. Simmonds
Journal: Quart. Appl. Math. 33 (1975), 170-174
DOI: https://doi.org/10.1090/qam/99668
MathSciNet review: QAM99668
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Abstract: For an elastically isotropic shell of constant thickness with an analytic midsurface of zero mean curvature, it is shown that the linear Sanders--Koiter equations can be reduced exactly to two coupled fourth-order partial differential equations, involving as unknowns a stress function and the rotation of the midsurface about the normal.

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DOI: https://doi.org/10.1090/qam/99668
Article copyright: © Copyright 1975 American Mathematical Society

American Mathematical Society