A multi-scale approach to model the curing process in magneto-sensitive polymeric materials

Mokarram Hossain (1) , Georges Chatzigeorgiou (2) , Fodil Meraghni (2) , Paul Steinmann (1)

1 FAU - Friedrich-Alexander Universität Erlangen-Nürnberg = University of Erlangen-Nuremberg
2 LEM3 - Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux

We propose a magneto-mechanically coupled multi-scale model for simulating the curing process of polymers. In the case of magneto-sensitive polymers, micron-size ferromagnetic particles are mixed with a liquid polymeric matrix in the uncured stage. The polymer curing process is a complex process that transforms a fluid to a solid with time. To transfer the constituent parameter information from the micro-scale to the macro-scale for a composite magneto-mechanically coupled polymeric material, an extended Mori–Tanaka semi-analytic homogenization procedure is utilized. The stiffness gaining phenomenon as in the case of a curing process is realized by time-dependent material parameters appearing within the composite piezomagnetic material tensors. Moreover, to compute the volume reduction during curing, a magnetic induction dependent shrinkage model is proposed. Several numerical examples show that the model proposed herein can capture major observable phenomena in the curing process of polymers under magneto-mechanically coupled infinitesimal deformations.

Mots clés: Magneto-sensitive polymers; Polymer curing; Shrinkage; Homogenization; Magneto-mechanical coupled problem; Mori–Tanaka model

Domaines: Génie des procédés; Matériaux; Mécanique [physics.med-ph]; Mécanique des matériaux [physics.class-ph]; Mécanique des solides [physics.class-ph]

Mokarram Hossain, Georges Chatzigeorgiou, Fodil Meraghni, Paul Steinmann. A multi-scale approach to model the curing process in magneto-sensitive polymeric materials. International Journal of Solids and Structures, 2015, 69-70, pp.34-44. ⟨10.1016/j.ijsolstr.2015.06.011⟩. ⟨hal-01196188⟩