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Dialectric Materials With Memory 1: Minimum And General Free Energies., Scott Glascow, John Murrough Golden
Dialectric Materials With Memory 1: Minimum And General Free Energies., Scott Glascow, John Murrough Golden
Articles
A general tensor isothermal theory of free energies and free enthalpies for dielectrics is presented, corresponding to linear constitutive relations with memory. Starting from the general equations of continuum thermodynamics, various properties of and constraints on free energy/enthalpy functionals in dielectric media are noted. It is well-known that free enthalpies are particularly convenient in that their properties are closely analogous with those of free energies in mechanics, though different in crucial ways. General constitutive equations with memory are determined from a given free enthalpy. The form of the relaxation function, which occurs in these constitutive equations, is discussed from a …
Dielectric Materials With Memory Ii: Free Energies In Non- Magnetic Materials, Scott Glascow, John Murrough Golden
Dielectric Materials With Memory Ii: Free Energies In Non- Magnetic Materials, Scott Glascow, John Murrough Golden
Articles
An isothermal theory of free energies and free enthalpies, corresponding to linear constitutive relations with memory, is presented for isotropic non-magnetic materials. This is a second paper, following recent work on a general tensor theory of isothermal dielectrics and on the form of the minimum free energy. Both papers are based on continuum thermodynamics. For a standard choice of relaxation function, the minimum and maximum free energies are given explicitly, using a method previously developed in a mechanics context. Also, a new family of intermediate free energy functionals is derived for dielectrics. All these are solutions of a constrained optimization …