Coleman–Noll Procedure for Classical and Generalized Continuum Theories
Based on the second law of thermodynamics (entropy principle), the Coleman-Noll procedure provides a framework for formulating constitutive equations of simple materials. For the latter, the constitutive equations for the stress depend on the strain, as the objective part as the first gradient of the displacement, and on temperature. In generalized theories of continuum mechanics, the constitutive equations incorporate further gradient terms.
The Coleman-Noll Procedure
Within the continuum theory of thermomechanics, a set of balances are formulated (balances of energy, entropy, mass, linear, and angular momentum) which are considered to hold independent of the material under consideration. The behavior of a particular material is described by additional constitutive equations. Coleman and Noll (1963) proposed a procedure which combines...