Finite Thermoelasticity of Constrained Elastomers Subject to Biaxial Loading
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- 作者：J.D. Humphrey and K.R. Rajagopal
- 关键词：Constitutive relations ; free energy ; internal constraints ; biaxial experiments ; rubber
- 刊名：Journal of Elasticity
- 出版年：1997
- 出版时间：1997
- 年：1997
- 卷：49
- 期：3
- 页码：189-200
- 全文大小：82 KB
文摘
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.