A multi-scale approach to model the curing process in magneto-sensitive polymeric materials. (September 2015)

• Record Type: Journal Article
• Authors: Hossain, Mokarram; Chatzigeorgiou, George; Meraghni, Fodil; Steinmann, Paul
• Is Part Of: International journal of solids and structures. Volume 69/70(2015)
• Page Start: 34
• Page End: 44
• Publication Date: 2015-09
• Subjects: Magneto-sensitive polymers -- Polymer curing -- Shrinkage -- Homogenization -- Magneto-mechanical coupled problem -- Mori–Tanaka model; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2015.06.011
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: 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.