03 January 2021 4 10K Report

To develop constitutive models in continuum mechanics, one must consider kinematics, balance of momentum, balance of energy, and free-energy imbalance. Next, one must propose constitutive response functions that express dependent variables (e.g., free energy, stress, entropy, flux, and chemical potential) as functions of independent variables (e.g., deformation gradient, temperature, temperature gradient, and concentration of species). So, what are the general principles to determine which variables are dependent variables and which are independent variables?

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