FINITE AXISYMMETRIC DEFORMATIONS OF ELASTIC MEMBRANES

We 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.

  • Corporate Authors:

    Lehigh University

    Bethlehem, PA  USA  18015
  • Authors:
    • Kydoniefs, A D
  • Publication Date: 1972-4

Media Info

  • Features: Figures; References;
  • Pagination: 16 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00033684
  • Record Type: Publication
  • Source Agency: Ship Structure Committee
  • Report/Paper Numbers: CAM-100-15 Tech Rpt
  • Contract Numbers: N00014-67-A-03700001
  • Files: TRIS
  • Created Date: Jul 28 1972 12:00AM