# THE EQUILIBRIUM EQUATIONS OF MEMBRANE SHELLS EXPRESSED IN GENERAL SURFACE COORDINATES

## Abstract

The aim of the paper is to derive the equations expressing the static equilibrium of membrane shells without introducing the bending theory. The first part gives a comprehensive introduction to the notions of tensor analysis which are needed in the forthcoming mechanical applications and contains a brief sketch of the background in classical differential geometry. The derived formulas are illustrated on some simple examples in the last chapter.

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