Finite Thermoelasticity of Constrained Elastomers Subject to Biaxial Loading
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Well accepted descriptors of the thermoelastic behavior of elastomers undergoing finite strain remain elusive largely due to the continuing lack of appropriate multiaxial data. In this paper we present a new theoretical framework for inferring thermoelastic constitutive relations directly from biaxial data. In particular, we consider an experimentally natural decomposition of the motion into two parts - one due to traction-free uniform heating and one due to isothermal mechanical loading - and impose a mechanical incompressibility constraint on each motion. It is shown that, regardless of the order of the motions, one obtains a thermoelastic generalization of the classical result of Rivlin and Saunders for identifying response functions from (isothermal) biaxial data.
author list (cited authors)
Humphrey, J. D., & Rajagopal, K. R.