Abstract
A Rayleigh-Ritz method is presented, for the achievement of a reduced model for nonlinear thermal problems. The modal basis that is used consists of ‘branch’ eigenfunctions, originally used in mechanical problems. After the definition of the branch eigenbasis, the eigenfunctions are determined analytically in the case of a one-dimensional cylindrical problem. An analysis of these modes is carried out, and the feasibility of the reduction of the modal basis is proved. This is done by separating the modes into two sets: the ‘slow’ modes and the ‘fast’ modes, each one of the latter being uncoupled from all the others and having a contribution that vanishes quickly in time. The method is tested in the case of a nonlinear transient conduction problem, which shows its great interest.
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