Abstract

This paper considers the case of flexible structures in which displacements can be large although strains are small. The theory gives an “exact” solution in a large class of problems where the displacements are large but predictable closely from the physical conditions imposed. In this method, the major part of the displacement is “guessed,” and then a further “small” displacement calculated from equations, which are developed, to assure compatibility. As a simple but not trivial example, the generation of an elastic cylinder from a flat plate is considered to illustrate the method.

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