Large elastic deformation of nonlinear axisymmetric membranes: a variational approach
Technical Report
·
OSTI ID:6719293
Variational equations for determining the deformed configuration of a pressurized axisymmetric membrane undergoing constant acceleration are derived. The general formulation is similar to that of Tielking and Feng. A Mooney-Rivlin material model is used for the membrane and large deformations and strains are accounted for. A Ritz procedure reduces the governing equations to a nonlinear algebraic form. Tensile instabilities are discussed in the context of the analytical solution available for a sphere. In a forthcoming report a computer program written to solve these equations will be described. The analysis and software will be verified by comparison with existing finite elasticity solutions. Solutions to new problems will be given. Ongoing work considering the coupling between structural deformation and the thermodynamics of inflation will be described and the effects of the acceleration on the pressure loads due to the gas will be discussed.
- Research Organization:
- Sandia National Labs., Livermore, CA (USA)
- DOE Contract Number:
- AC04-76DP00789
- OSTI ID:
- 6719293
- Report Number(s):
- SAND-82-8053; ON: DE83001851
- Country of Publication:
- United States
- Language:
- English
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