Nonlinear Viscoelastic Analysis of a Pneumatic 2D Structure Interposed Between a Couple of Rigid Moving Planes

Abstract eng:
A nonlinear planar model of visco-elastic balloon, interposed between a couple of moving rigid bodies, is formulated. The pneumatic structure is modeled as an initially circular cable, pre-stressed by an internal pressure, and constrained to remain in a planar domain. External pressure is assumed to be zero. The pushing bodies are modeled as a couple of frictionless rigid parallel bars, approaching each other normally, and causing squeezing of the pneumatic body. Motion is assumed slow, in such a way any inertial effects are negligible. Both cases of long and short bars are considered, the latter entailing the possibility of puncture of the deformable body. A thermoplastic polyurethane material behavior is considered, and proper constitutive relationships adopted. Several models are formulated, which differ for constitutive laws (inextensible, elastic, linearly or non linearly visco-elastic) and/or for kinematic analysis (small strains and displacements or finite kinematics). The governing mixed differential-algebraic equations are analytically or numerically integrated for several impressed motion time-histories and the main features of the phenomenon are investigated.

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