A material point is called thermoelastic if the present value of the stress tensor 
, the heat flux q, the internal energy e, and the entropy ? depend upon the present values of the deformation gradient F, the temperature gradient g, and the temperature ? at that point. Thus a thermoelastic material remembers nothing of past deformations except the reference configuration because F involves a derivative of x with respect to coordinates X in the reference configuration. Note that g equals the gradient of the temperature with respect to coordinates in the present configuration. A body all of whose points are made of the same material is called a homogeneous body. Examples of homogeneous bodies are air, water, honey, rubber, and the white sheet of paper. Examples of inhomogeneous bodies are the human body, radial tires, automobiles, and airplanes. Henceforth we will deal with homogeneous bodies and thus discuss constitutive relations for the body rather than for one of its points. For a thermoelastic body, the 13 variables F ( X, t), ?( X, t), and g characterize the current local state of the body point X. If F, ?, and g have different values at different points of the body, then , q, ?, and e will vary from point to point, but the dependence of , q
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