Finite displacements of annular elastic membranes

✍ Scribed by Hans Grabmüller; Hubertus J. Weinitschke

• Publisher: Springer Netherlands
• Year: 1986
• Tongue: English
• Weight: 572 KB
• Volume: 16
• Category: Article
• ISSN: 0374-3535
• DOI: 10.1007/bf00043581

✦ Synopsis

Axisymmetric deformations of annular membranes subjected to normal surface loads and radial edge loads or displacements are considered within the F~Sppl nonlinear membrane theory. When the inner edge r = a is free of radial traction, the solution of the annular membrane problem is shown to reduce to the solution for the circular membrane (a = 0). For nonvanishing traction at r = a, the problem is reduced to a circular pseudo-membrane problem. For both cases, existence and uniqueness of tensile solutions of the annular membrane problem are proved, including a rigorous derivation of a stress concentration factor originally found by Schwerin by formal methods.