Abstract

When an elastomeric material is at a sufficiently high temperature, there can be time-dependent scission of macromolecular network cross-links. The affected molecules can recoil and cross-link to form a new network in a new reference configuration. The material then consists of several molecular networks. This microstructural change affects the mechanical response and leads to permanent set. A constitutive equation is presented, based on the experimental work of Tobolsky (Properties and Structures of Polymers, Wiley, New York, 1960, pp. 223–265), which can account for the influence of this temperature-dependent microstructural change on the mechanical response. It is used to study an elastomeric cylinder undergoing circular shear and transient heat conduction.

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