Revisiting the Chadwick and Lu & Pister models of finite thermoelasticity for isotropic materials

This note reviews and presents the two dominant models of thermoelasticity developed by (1) Peter Chadwick and (2) S.C.H Lu and Karl S. Pister. Both models are widely used and cited in the literature but their differences are not well delineated in a clear and accessible way. Here we briefly review the two models using a unified notation and discuss and compare their basic properties and behavior. We show that all Lu and Pister models can be written as a Chadwick model. However a Chadwick model does not fully specify a Lu and Pister model. Additional (mild) assumptions must be made to convert a Chadwick model into a Lu and Pister model. A model due to L. Anand is also presented to show its conformity to both frameworks and to highlight its usefulness.