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Description:In the theory of elastic shells a first order approximation using the shell thickness as an expansion parameter leads to the membrane theory of shells. The membrane equations have as solutions the generalized analytic functions. An extension of these systems, to include elliptic systems of 2"n" equations in the plane, resulted in the generalized hyperanalytic functions. It is shown in this paper that the next-order approximation to the shell, which permits the introduction of bending, may be described in terms of the generalized hyperanalytic functions. It is strongly suspected that the higher order approximations may also be described in terms of corresponding hypercomplex systems.
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Sea Grant Document Number:DELU-T-88-005
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Rights Information:Public Domain
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