Direct methods for sparse matrices
Direct methods for sparse matrices
An Accurate and Efficient Frontal Solver for Fully-Coupled Hygro-Thermo-Mechanical Problems
ICCS '02 Proceedings of the International Conference on Computational Science-Part I
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A mathematical model to analyse the hygro-thermal behaviour of concrete as a multi-phase porous material at high temperatures, accounting for material deterioration, is presented. Full development of the model equations, starting from the macroscopic balances of mass, energy and linear momentum of the single constituents is presented. Constitutive relationships of concrete at high temperature, including those concerning material damage, are discussed. The classical isotropic non-local damage theory is modified to take into account the mechanical- and the thermo-chemical concrete damage at high temperature. The final form of the governing equations, their discretised FE form, and their numerical solution are presented. The results of a numerical example, concerning fire performance of a 2-D HPC structure, is presented and discussed.