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Finite Element Approaches to Non-classical Heat Conduction in Solids

S. Bargmann, P. Steinmann1

Chair of Applied Mechanics, Department of Mechanical Engineering, University of Kaiserslautern, Germany

Computer Modeling in Engineering & Sciences 2005, 9(2), 133-150.


The present contribution is concerned with the modeling and computation of non-classical heat conduction. In the 90s Green and Naghdi presented a new theory which is fully consistent. We suggest a solution method based on finite elements for the spatial as well as for the temporal discretization. A numerical example is compared to existing experimental results in order to illustrate the performance of the method.


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Bargmann, S., Steinmann, P. (2005). Finite Element Approaches to Non-classical Heat Conduction in Solids. CMES-Computer Modeling in Engineering & Sciences, 9(2), 133–150.

cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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