Open Access
ARTICLE
F. Freschi1, L. Giaccone1, M. Repetto1
CMES-Computer Modeling in Engineering & Sciences, Vol.94, No.5, pp. 371-395, 2013, DOI:10.3970/cmes.2013.094.371
Abstract The study of induction heating systems from the electromagnetic point of view is still a challenging task for several reasons: the problem under analysis is strictly multiphysics because it involves the coupled electromagnetic and thermal phenomena; both coupled physics have nonlinear behavior; nonlinearities are of different kinds, both depending on the single phenomenon and on the coupling terms. The aim of the paper is to show that the cell method, based on the use of Tonti diagrams, can handle efficiently this kind of problems. The proposed magneto-thermal numerical procedure is firstly described in its theoretical aspects and then it is… More >
Open Access
ARTICLE
C. Delprete1, F. Freschi2, M. Repetto2, C. Rosso1
CMES-Computer Modeling in Engineering & Sciences, Vol.94, No.5, pp. 397-420, 2013, DOI: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… More >
Open Access
ARTICLE
E. Viola1, F. Tornabene1, E. Ferretti1, N. Fantuzzi1
CMES-Computer Modeling in Engineering & Sciences, Vol.94, No.5, pp. 421-458, 2013, DOI:10.3970/cmes.2013.094.421
Abstract In this paper, an advanced version of the classic GDQ method, called the Generalized Differential Quadrature Finite Element Method (GDQFEM) is formulated to solve plate elastic problems with inclusions. The GDQFEM is compared with Cell Method (CM) and Finite Element Method (FEM). In particular, stress and strain results at fiber/matrix interface of dissimilar materials are provided. The GDQFEM is based on the classic Generalized Differential Quadrature (GDQ) technique that is applied upon each sub-domain, or element, into which the problem domain is divided. When the physical domain is not regular, the mapping technique is used to transform the fundamental system… More >
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