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  United States  18015
• Authors:
  • Kydoniefs, A D
• Publication Date: 1972-4

Media Info

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

Subject/Index Terms

• TRT Terms: Deformation; Shells (Structural forms); Strain (Mechanics)
• Uncontrolled Terms: Strain energy
• Old TRIS Terms: Elastic shells; Membrane deformation; Shell deformation
• Subject Areas: Marine Transportation; Materials;

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