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Abstract
The contribution's main objective is the treatment of non-classical nonlinear thermoelasticity based on the approach of Green and Naghdi within the context of the material force method. Material forces have proven to be well suited for the examination of defect mechanics and have become a very powerful and active research topic over the last decades. The numerical realization is based on finite elements in space as well as in time. Examples of investigating material forces within Green–Naghdi thermoelasticity are provided.
This research was mainly carried out while all authors were researchers at the University of Kaiserslautern, Germany. The financial support of the German Science Foundation (Deutsche Forschungsgemeinschaft, DFG), grant STE 544/23, is gratefully acknowledged.
Notes
1Actually, as introduced by Green and Naghdi [Citation1], the constitutive equations may also depend on the thermal displacement α. However, we follow the usual procedure and define them independent of α, leading to Eq. (Equation12).