Asymptotic solutions for shells with general boundary curves

Author:
T. R. Logan

Journal:
Quart. Appl. Math. **31** (1973), 93-114

DOI:
https://doi.org/10.1090/qam/99709

MathSciNet review:
QAM99709

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Abstract | References | Additional Information

Abstract: The influence of arbitrary edge loads on the stresses and deformations of thin, elastic shells with general boundaries is studied by means of asymptotic expansions of a general tensor equation. Expansions are made in terms of an exponential or an Airy function and a series in powers of a small-thickness parameter. Most of the steps in the procedure are effected by using the dyadic form of the tensors. Solutions are obtained that are valid in the large, with no restrictions on the loading or on the boundary geometry.

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Additional Information

DOI:
https://doi.org/10.1090/qam/99709

Article copyright:
© Copyright 1973
American Mathematical Society