On configurational forces within Green–Naghdi thermo-hyperelasticity

Paper in proceeding, 2008

The contribution's main objective is the examination of configurational forces in non-classical nonlinear thermoelasticity based on the approach of Green and Naghdi. In the early 1990s, Green and Naghdi introduced a theory attracting interest as heat propagates as thermal waves at finite speed, does not necessarily involve energy dissipation and fully integrates the classical theory. A wide range of heat flow problems can be modeled and the classical theory is fully embedded. As configurational forces have proven to be well suited for the examination of defect mechanics, a numerical example from that research area is discussed. The numerical realization is based on Galerkin finite elements in space as well as in time.