Consistent linearization in Finite Element analysis of coupled chemo-thermal problems with exo- or endothermal reactions |
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| Authors: | Ch Hellmich F-J Ulm H A Mang |
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| Affiliation: | (1) Institute for Strength of Materials, University of Technology of Vienna, Karlsplatz 13/202, A-1040 Vienna, Austria, AT;(2) Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, MA, USA; formerly: Laboratoire Central des Ponts et Chaussées, Paris, France, FR |
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| Abstract: | In this work, after a short review of the respective thermodynamic formulation, the algorithmic treatment of coupled chemo-thermal
problems with exo- or endothermal reactions is addressed. The Finite Element Method (FEM) is serving as the analysis tool.
Consistent linearization of the discretized evolution equations results in quadratic convergence of the global Newton-Raphson
equilibrium iteration. This renders solutions of practical engineering problems feasible. The range of these problems encompasses
the early age behavior of concrete as well as agricultural applications. In order to demonstrate the applicability of the
presented material law, a 3D material test for shotcrete is re-analyzed.
Received 24 January 1998 |
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