Finite element analysis of non linear transversaly isotropic hyperelastic membranes for thermoforming applications

Nicolas Chevaugeon (1) , Erwan Verron (1) , Bernard Peseux (1)

1 GeM - Institut de Recherche en Génie Civil et Mécanique

Recent advances have been made to simulate plastic blowmoulding and thermoforming processes. However, most of the work done is focused on thermoplastic materials assumed too be anisotropic behaviour. The present paper deals with free and confined inflation of heat-softenedfibers-reinforced membranes in order to simulate moulding processes of composite thermoplastic parisons. The material is assumed to be hyperelastic and incompressible. To take into account the anisotropy induced by aligned fibers, the material symmetry classis considered transversely isotropic. A general expression of the strain energy function in terms of tensorial invariants is developed and governing equations of the inflation problem are solved by a total Lagrangian finite element method for space discretization and an explicit finite-difference algorithm for time integration. In order to illustrate our approach, both free and confined inflation examples are examined.

Mots clés: Hyperelasticity; Thermoforming; Fibers-reinforced material; transversely isotropic constitutive equation

Domaines: Mécanique [physics.med-ph]; Matériaux

Nicolas Chevaugeon, Erwan Verron, Bernard Peseux. Finite element analysis of non linear transversaly isotropic hyperelastic membranes for thermoforming applications. ECOMAS 2000, Oct 2000, Barcelone, Spain. ⟨hal-01008224⟩