A thermodynamic theory for the movement of point, line and surface defects was considered for the case of finite deformations. The theory was based upon the balance laws for crystal defects. These laws, together with the usual conservation laws for mass, momentum, moment of momentum, energy and entropy were used to deduce the driving forces on crystal defects. Some of the resultant formulae, such as that of Peach and Koehler, were well-known. On the other hand, many new relationships were found: such as those for osmotic forces and for the energy flux due to the movement of crystal defects. By using these new relationships for the driving forces, the problem of modelling crystal defect movement was reconsidered. The elastic behaviour of materials containing structural defects was governed by a constitutive equation which was imposed on the free energy density. This equation took account of the elastic strain, crystal defect densities and temperature. Plasticity was described by vector constitutive equations which linked defect velocities to the respective driving forces.

On Geometry and Continuum Thermodynamics of Movement of Structural Defects. P.Dłużewski: Mechanics of Materials, 1996, 22, 23-41