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Multilayered plate elements for the analysis of multifield problems

2010; Elsevier BV; Volume: 46; Issue: 9 Linguagem: Inglês

10.1016/j.finel.2010.04.001

1872-6925

Erasmo Carrera, Pietro Nali,

Structural Load-Bearing Analysis

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.