Finite Thermoelasticity of Constrained Elastomers Subject to Biaxial Loading Academic Article uri icon

abstract

  • 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.

citation count

  • 11

publication date

  • December 1997