Accession Number:

AD0742088

Title:

Finite Axisymmetric Deformations of Elastic Membranes.

Descriptive Note:

Technical rept.,

Corporate Author:

LEHIGH UNIV BETHLEHEM PA CENTER FOR THE APPLICATION OF MATHEMATICS

Personal Author(s):

Report Date:

1972-04-01

Pagination or Media Count:

19.0

Abstract:

The authors consider the axisymmetric deformations due to edge tractions and internal pressure of an elastic membrane composed of a homogeneous, incompressible and isotropic material possessing a strain-energy function. For a given initial thickness the undeformed membrane is determined in terms of the deformed configuration. The solution given to this inverse problem is exact and valid for a general strain-energy function. For the particular case of a neo-Hookean material an explicit solution is given. The theory is illustrated by its application to the specific example of the deformation of a membrane, under edge tractions, into a truncated conic surface. Author

Subject Categories:

  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE