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ARTICLE

A Proposal of Nonlinear Formulation of Cell Method for Thermo-Elastostatic Problems

by C. Delprete¹, M. Repetto², C. Rosso¹

1 Dipartimento di Ingegneria Meccanica e Aerospaziale, Politecnico di Torino, corso Duca degli Abruzzi, 24, 10129 Torino.
2 Dipartimento Energia, Politecnico di Torino, corso Duca degli Abruzzi, 24, 10129 Torino.

Computer Modeling in Engineering & Sciences 2013, 94(5), 397-420. https://doi.org/10.3970/cmes.2013.094.397

Abstract

The growing necessity of accuracy in analyzing engineering problems requires more detailed and sophisticated models. Those models can include multiphysics interactions, that, sometimes, are highly nonlinear and the application of the superposition principle is then not possible. The cell method can be suitably used to study nonlinear multiphysics problems, because its theoretical framework for the physical laws is intrinsically multiphysics. In this way it is possible to take into account the mutual effects between different physics. Within the cell method framework, the coupling terms can be directly formulated in terms of the global variables used for the solution of the elementary problems. In this way it is possible to solve the coupled problem in a single solver run. In this paper a nonlinear procedure for elastostatic analysis with cell method is developed and the Fixed Point technique is applied to a 1D two-node cell and to a 3D four-node tetrahedral cell. The procedure is numerically and experimentally validated. After the theoretical part, a nonlinear thermo-mechanical analysis of an exhaust manifold is presented as case-study.

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