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Inflation of hyperelastic cylindrical membranes as applied to blow moulding. Part II. Non‐axisymmetric case
Author(s) -
Khayat R. E.,
Derdouri A.
Publication year - 1994
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620372204
Subject(s) - hyperelastic material , rotational symmetry , isotropy , finite element method , constitutive equation , mechanics , boundary value problem , deformation (meteorology) , galerkin method , blow molding , materials science , mathematics , classical mechanics , mathematical analysis , physics , composite material , thermodynamics , mold , quantum mechanics
The non‐axisymmetric confined inflation of an isotropic homogeneous cylindrical membrane is considered in this study. The material is assumed to obey the Mooney–Rivlin constitutive model. The continuum‐based formulation is adopted, with the resulting equilibrium partial differential equations, governing the deformation field, solved using a Galerkin based finite element procedure. Upon contact, the inflating material is assumed to stick to the solid boundary. The dependent variables corresponding to nodes which have contacted are then fixed for subsequent deformation. In an attempt to simulate the inflation stage of the blow‐moulding process, the method is illustrated through some examples of moulded tapered rectangular bottles with centered and off‐centred neck. Examples of initial membranes of uniform and non‐uniform thickness distribution are examined. Experiments are carried out in an attempt to validate the theory, in particular, to compare the predicted and measured final thickness distributions of blow‐moulded containers.