Driving Traction Acting on a Surface of Strain Discontinuity in a Continuum

摘要

Various aspects of the theory of finite elastostatics for materials characterized by non-elliptic elastic potentials have been studied in a number of recent papers. The notion of the driving traction on a surface of strain discontinuity in a continuum undergoing a general thermo-mechanical process is defined and discussed. In addition, the associated constitutive notion of a kinetic relation, in which the normal velocity of propagation of the surface of discontinuity may be a given function of the driving traction and temperature, is introduced for the special case of a thermoelastic material. (MJM)