Modeling of non-classical thermoelasticity

The present contribution deals with computational modeling of non-classical theories according to the approach of Green and Naghdi [1]. Their theory is subdivided into three types of heat conduction, labeled type I, II and III. Each of the three heat equations is coupled with the balance of momentum. The arising partial di.erential equations are discretized with a Galerkin finite element method in time as well as in space. All three types are applied to an isotropic and homogeneous elastic-deformable continuum and studied by a numerical example. The reader is also referred to [2, 3] for a more detailed description of the introduced results. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)