Accession Number : ADA137195

Title :   High Order Nonlinear Finite Element Analysis of the Axisymmetric Rubber Membrane.

Descriptive Note : Technical rept.,

Corporate Author : BOSTON UNIV MA DEPT OF MATHEMATICS

Personal Author(s) : Johnson,A ; Fried,I

PDF Url : ADA137195

Report Date : Jan 1979

Pagination or Media Count : 116

Abstract : The nonlinear deformations of axisymmetric membranes made of Mooney material are determined using the finite element method. The analysis is constructed in a form that can be easily extended to other nonquadratic energy functionals encountered in finite elasticity. The axisymmetric deformations analysed are the in-plane expansion of a disk with a hole, the inflation of an initially flat circular disk, the out-of-plane deformation of a disk with an inclusion caused by moving the inclusion along the axis of symmetry, and the inflation of a torus with both circular and elliptical cross sections. Stability of the solutions obtained is verified by computing the eigenspectrum of the potential energy's Hessian. Convergence rates with respect to mesh reduction are numerically determined for the displacement field and the strain energy. Quadratic three node Lagrange elements are used for all problems except the torus for which cubic Hermite elements are also used. (Author)

Descriptors :   *Finite element analysis, *Nonlinear analysis, *Deformation, *Membranes, *Strain(Mechanics), Elastic properties, Axisymmetric, Rubber, Cross sections, Disks, Holes(Openings), Numerical integration

Subject Categories : Numerical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE