Inflation of hyperelastic cylindrical membranes as applied to blow moulding. Part I. Axisymmetric case

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Abstract
The free and confined axisymmetric inflation of a cylindrical membrane is considered in this study. The problem is formulated to include single and multiple contacts between the cylinder and the surrounding solid boundary. The material is assumed to obey the Mooney–Rivlin constitutive equation. Unlike various finite element based discretization approaches, the present formulation is based on a set of ordinary differential equations governing the deformation field. The resulting two‐point‐boundary‐value problem is solved using the finite element method. Comparison between theory and experiment leads to good agreement. Stick condition upon contact is assumed. Examples of complex geometries including a blow‐moulded bottle are treated. An example of simultaneous stretch and inflation is also given.

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