Continuum Physics of Materials with Time-Dependent Properties

Hossain, Mokarram and Steinmann, Paul (2015) Continuum Physics of Materials with Time-Dependent Properties. In: Advances in Applied Mechanics. Advances in Applied Mechanics, 48 (48). Elsevier, London, pp. 141-259. ISBN 9780128021286

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Official URL: http://dx.doi.org/10.1016/bs.aams.2015.10.003

Abstract

A temporal evolution of material parameters may appear in many fields; as a paradigm the curing process of polymeric materials is here considered. Thereby, a systematic overview is presented in this contribution whereby modeling various aspects of the polymer curing process under different types of loads are investigated. Physically based, small and finite strain curing models have been developed that can work under a purely mechanical load where the time dependence of the material parameters appearing in the models are considered. The curing process of polymers under a purely mechanical load is a complex phenomenon involving a series of chemical reactions which transform a viscoelastic fluid into a viscoelastic solid during which the temperature, the chemistry and the mechanics are coupled. To work under various classes of coupled loads, e.g., thermomechanical, magnetomechanical, and electromechanical loads, the initially developed modeling framework suited for a mechanical load is extended. Thereby, capturing the curing process in the presence of a magnetomechanical or an electromechanical load becomes even more challenging. In the current contribution, thermodynamically consistent small and finite strain constitutive frameworks are revisited which are based either on a direct time-dependent formulation or on a degree of cure-dependent formulation. The degree of cure is a key parameter in the curing (reaction) kinetics. Both our mechanical and several coupled modeling frameworks are in line with a rate-type hypoelastic approach. Some representative numerical examples are discussed under various forms of mechanical and nonmechanical loads which show the capability of different constitutive formulations to capture major phenomena observed during the curing process of polymers.

Item Type: Book Section
Uncontrolled Keywords: Curing; Shrinkage; Degree of cure; Thermomechanical problem; Magnetomechanical problem; Electromechanical problem
Subjects: F200 Materials Science
F300 Physics
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Related URLs:
Depositing User: Paul Burns
Date Deposited: 09 Dec 2015 14:07
Last Modified: 14 Dec 2016 12:41
URI: http://nrl.northumbria.ac.uk/id/eprint/24957

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