A Finite Strain Framework for the Simulation of Polymer Curing. Part I: Elasticity

Mokarram H, Possart G, Steinmann P (2009)

Publication Type: Journal article

Publication year: 2009


Publisher: Springer Verlag (Germany)

Book Volume: 44

Pages Range: 621-630

Journal Issue: 5

DOI: 10.1007/s00466-009-0397-0


A phenomenologically motivated small strain model to simulate the curing of thermosets has been developed and discussed in a recently published paper (Hossain et al. in Comput Mech 43(6):769-779, 2009). Inspired by the concepts used there, this follow-up contribution presents an extension towards the finite strain regime. The thermodynamically consistent framework proposed here for the simulation of curing polymers particularly is independent of the choice of the free energy density, i.e. any phenomenological or micromechanical approach can be utilised. Both the governing equations for the curing simulation framework and the necessary details for the numerical implementation within the finite element method are derived. The curing of polymers is a very complex process involving a series of chemical reactions typically resulting in a conversion of low molecular weight monomer solutions into more or less cross-linked solid macromolecular structures. A material undergoing such a transition can be modelled by using an appropriate constitutive relation that is distinguished by prescribed temporal evolutions of its governing material parameters, which have to be determined experimentally. Part I of this work will deal with the elastic framework whereas the following Part II will focus on viscoelastic behaviour and shrinkage effects. Some numerical examples demonstrate the capability of our approach to correctly reproduce the behaviour of curing materials. © 2009 Springer-Verlag.

Authors with CRIS profile

How to cite


Mokarram, H., Possart, G., & Steinmann, P. (2009). A Finite Strain Framework for the Simulation of Polymer Curing. Part I: Elasticity. Computational Mechanics, 44(5), 621-630. https://doi.org/10.1007/s00466-009-0397-0


Mokarram, Hossain, Gunnar Possart, and Paul Steinmann. "A Finite Strain Framework for the Simulation of Polymer Curing. Part I: Elasticity." Computational Mechanics 44.5 (2009): 621-630.

BibTeX: Download