Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
514740 | Finite Elements in Analysis and Design | 2010 | 11 Pages |
This work deals with advanced finite element (FE) formulations for the analysis of multilayered structures in the case of multifield problems. The following four fields are considered: mechanical, thermal, electrical and magnetic. Constitutive equations, in terms of coupled mechanical–thermal–electrical–magnetic field variables, are obtained on the basis of a thermodynamic approach. The four-field principle of virtual displacements is employed to derive FE matrices. Three-fields, two-fields as well as pure mechanical problems have been discussed as relevant particular cases. A condensed notation, known as Carrera unified formulation, has been employed to establish a comprehensive two-dimensional modeling with variable kinematic features. Layer-wise/equivalent single layers plate elements have been developed according to linear up to fourth-order expansion in the layer/plate thickness directions. FE matrices have been obtained in terms of a few fundamental nuclei whose dimension is 6×6 for the full four fields case. Numerical results show the effectiveness of the proposed implementation by encompassing various static and dynamic multifield plate problems.