Modelling the curing process in magneto-sensitive polymers: Rate-dependence and shrinkage

Mokarram H, Saxena P, Steinmann P (2015)

Publication Language: English

Publication Type: Journal article

Publication year: 2015


Publisher: Elsevier

Book Volume: 74

Pages Range: 108-121

DOI: 10.1016/j.ijnonlinmec.2015.04.008


This paper deals with a phenomenologically motivated magneto-viscoelastic coupled finite strain framework for simulating the curing process of polymers under the application of a coupled magneto-mechanical load. Magneto-sensitive polymers are prepared by mixing micron-sized ferromagnetic particles in uncured polymers. Application of a magnetic field during the curing process causes the particles to align and form chain-like structures lending an overall anisotropy to the material. The polymer curing is a viscoelastic complex process where a transformation from fluid to solid occurs in the course of time. During curing, volume shrinkage also occurs due to the packing of polymer chains by chemical reactions. Such reactions impart a continuous change of magneto-mechanical properties that can be modelled by an appropriate constitutive relation where the temporal evolution of material parameters is considered. To model the shrinkage during curing, a magnetic-induction-dependent approach is proposed which is based on a multiplicative decomposition of the deformation gradient into a mechanical and a magnetic-induction-dependent volume shrinkage part. The proposed model obeys the relevant laws of thermodynamics. Numerical examples, based on a generalised Mooney–Rivlin energy function, are presented to demonstrate the model capacity in the case of a magneto-viscoelastically coupled load.

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Mokarram, H., Saxena, P., & Steinmann, P. (2015). Modelling the curing process in magneto-sensitive polymers: Rate-dependence and shrinkage. International Journal of Non-Linear Mechanics, 74, 108-121.


Mokarram, Hossain, Prashant Saxena, and Paul Steinmann. "Modelling the curing process in magneto-sensitive polymers: Rate-dependence and shrinkage." International Journal of Non-Linear Mechanics 74 (2015): 108-121.

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